%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG048+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:53 AM UTC 2026
% Result : Theorem 0.15s 6.10s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 358
% Syntax : Number of formulae : 1912 ( 348 unt; 338 def)
% Number of atoms : 6250 (3679 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 7030 (2692 ~;3046 |; 954 &)
% ( 338 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 340 ( 338 usr; 339 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e14,e14) = e14
| op1(e14,e14) = e13
| op1(e14,e14) = e12
| op1(e14,e14) = e11
| op1(e14,e14) = e10 )
& ( op1(e14,e13) = e14
| op1(e14,e13) = e13
| op1(e14,e13) = e12
| op1(e14,e13) = e11
| op1(e14,e13) = e10 )
& ( op1(e14,e12) = e14
| op1(e14,e12) = e13
| op1(e14,e12) = e12
| op1(e14,e12) = e11
| op1(e14,e12) = e10 )
& ( op1(e14,e11) = e14
| op1(e14,e11) = e13
| op1(e14,e11) = e12
| op1(e14,e11) = e11
| op1(e14,e11) = e10 )
& ( op1(e14,e10) = e14
| op1(e14,e10) = e13
| op1(e14,e10) = e12
| op1(e14,e10) = e11
| op1(e14,e10) = e10 )
& ( op1(e13,e14) = e14
| op1(e13,e14) = e13
| op1(e13,e14) = e12
| op1(e13,e14) = e11
| op1(e13,e14) = e10 )
& ( op1(e13,e13) = e14
| op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e14
| op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e14
| op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e14
| op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e14) = e14
| op1(e12,e14) = e13
| op1(e12,e14) = e12
| op1(e12,e14) = e11
| op1(e12,e14) = e10 )
& ( op1(e12,e13) = e14
| op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e14
| op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e14
| op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e14
| op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e14) = e14
| op1(e11,e14) = e13
| op1(e11,e14) = e12
| op1(e11,e14) = e11
| op1(e11,e14) = e10 )
& ( op1(e11,e13) = e14
| op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e14
| op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e14
| op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e14
| op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e14) = e14
| op1(e10,e14) = e13
| op1(e10,e14) = e12
| op1(e10,e14) = e11
| op1(e10,e14) = e10 )
& ( op1(e10,e13) = e14
| op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e14
| op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e14
| op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e14
| 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,
( ( unit1 = e14
| unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 )
& op1(e14,unit1) = e14
& op1(unit1,e14) = e14
& op1(e13,unit1) = e13
& op1(unit1,e13) = e13
& op1(e12,unit1) = e12
& op1(unit1,e12) = e12
& op1(e11,unit1) = e11
& op1(unit1,e11) = e11
& op1(e10,unit1) = e10
& op1(unit1,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op1(e14,e14) = e14
| op1(e13,e14) = e14
| op1(e12,e14) = e14
| op1(e11,e14) = e14
| op1(e10,e14) = e14 )
& ( op1(e14,e14) = e14
| op1(e14,e13) = e14
| op1(e14,e12) = e14
| op1(e14,e11) = e14
| op1(e14,e10) = e14 )
& ( op1(e14,e14) = e13
| op1(e13,e14) = e13
| op1(e12,e14) = e13
| op1(e11,e14) = e13
| op1(e10,e14) = e13 )
& ( op1(e14,e14) = e13
| op1(e14,e13) = e13
| op1(e14,e12) = e13
| op1(e14,e11) = e13
| op1(e14,e10) = e13 )
& ( op1(e14,e14) = e12
| op1(e13,e14) = e12
| op1(e12,e14) = e12
| op1(e11,e14) = e12
| op1(e10,e14) = e12 )
& ( op1(e14,e14) = e12
| op1(e14,e13) = e12
| op1(e14,e12) = e12
| op1(e14,e11) = e12
| op1(e14,e10) = e12 )
& ( op1(e14,e14) = e11
| op1(e13,e14) = e11
| op1(e12,e14) = e11
| op1(e11,e14) = e11
| op1(e10,e14) = e11 )
& ( op1(e14,e14) = e11
| op1(e14,e13) = e11
| op1(e14,e12) = e11
| op1(e14,e11) = e11
| op1(e14,e10) = e11 )
& ( op1(e14,e14) = e10
| op1(e13,e14) = e10
| op1(e12,e14) = e10
| op1(e11,e14) = e10
| op1(e10,e14) = e10 )
& ( op1(e14,e14) = e10
| op1(e14,e13) = e10
| op1(e14,e12) = e10
| op1(e14,e11) = e10
| op1(e14,e10) = e10 )
& ( op1(e14,e13) = e14
| op1(e13,e13) = e14
| op1(e12,e13) = e14
| op1(e11,e13) = e14
| op1(e10,e13) = e14 )
& ( op1(e13,e14) = e14
| op1(e13,e13) = e14
| op1(e13,e12) = e14
| op1(e13,e11) = e14
| op1(e13,e10) = e14 )
& ( op1(e14,e13) = e13
| op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e14) = e13
| op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e14,e13) = e12
| op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e14) = e12
| op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e14,e13) = e11
| op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e14) = e11
| op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e14,e13) = e10
| op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e14) = e10
| op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e14,e12) = e14
| op1(e13,e12) = e14
| op1(e12,e12) = e14
| op1(e11,e12) = e14
| op1(e10,e12) = e14 )
& ( op1(e12,e14) = e14
| op1(e12,e13) = e14
| op1(e12,e12) = e14
| op1(e12,e11) = e14
| op1(e12,e10) = e14 )
& ( op1(e14,e12) = e13
| op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e14) = e13
| op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e14,e12) = e12
| op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e14) = e12
| op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e14,e12) = e11
| op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e14) = e11
| op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e14,e12) = e10
| op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e14) = e10
| op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e14,e11) = e14
| op1(e13,e11) = e14
| op1(e12,e11) = e14
| op1(e11,e11) = e14
| op1(e10,e11) = e14 )
& ( op1(e11,e14) = e14
| op1(e11,e13) = e14
| op1(e11,e12) = e14
| op1(e11,e11) = e14
| op1(e11,e10) = e14 )
& ( op1(e14,e11) = e13
| op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e14) = e13
| op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e14,e11) = e12
| op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e14) = e12
| op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e14,e11) = e11
| op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e14) = e11
| op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e14,e11) = e10
| op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e14) = e10
| op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e14,e10) = e14
| op1(e13,e10) = e14
| op1(e12,e10) = e14
| op1(e11,e10) = e14
| op1(e10,e10) = e14 )
& ( op1(e10,e14) = e14
| op1(e10,e13) = e14
| op1(e10,e12) = e14
| op1(e10,e11) = e14
| op1(e10,e10) = e14 )
& ( op1(e14,e10) = e13
| op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e14) = e13
| op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e14,e10) = e12
| op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e14) = e12
| op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e14,e10) = e11
| op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e14) = e11
| op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e14,e10) = e10
| op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e14) = 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(f4,axiom,
( ( op2(e24,e24) = e24
| op2(e24,e24) = e23
| op2(e24,e24) = e22
| op2(e24,e24) = e21
| op2(e24,e24) = e20 )
& ( op2(e24,e23) = e24
| op2(e24,e23) = e23
| op2(e24,e23) = e22
| op2(e24,e23) = e21
| op2(e24,e23) = e20 )
& ( op2(e24,e22) = e24
| op2(e24,e22) = e23
| op2(e24,e22) = e22
| op2(e24,e22) = e21
| op2(e24,e22) = e20 )
& ( op2(e24,e21) = e24
| op2(e24,e21) = e23
| op2(e24,e21) = e22
| op2(e24,e21) = e21
| op2(e24,e21) = e20 )
& ( op2(e24,e20) = e24
| op2(e24,e20) = e23
| op2(e24,e20) = e22
| op2(e24,e20) = e21
| op2(e24,e20) = e20 )
& ( op2(e23,e24) = e24
| op2(e23,e24) = e23
| op2(e23,e24) = e22
| op2(e23,e24) = e21
| op2(e23,e24) = e20 )
& ( op2(e23,e23) = e24
| op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e24
| op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e24
| op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e24
| op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e24) = e24
| op2(e22,e24) = e23
| op2(e22,e24) = e22
| op2(e22,e24) = e21
| op2(e22,e24) = e20 )
& ( op2(e22,e23) = e24
| op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e24
| op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e24
| op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e24
| op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e24) = e24
| op2(e21,e24) = e23
| op2(e21,e24) = e22
| op2(e21,e24) = e21
| op2(e21,e24) = e20 )
& ( op2(e21,e23) = e24
| op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e24
| op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e24
| op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e24
| op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e24) = e24
| op2(e20,e24) = e23
| op2(e20,e24) = e22
| op2(e20,e24) = e21
| op2(e20,e24) = e20 )
& ( op2(e20,e23) = e24
| op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e24
| op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e24
| op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e24
| op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( unit2 = e24
| unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 )
& op2(e24,unit2) = e24
& op2(unit2,e24) = e24
& op2(e23,unit2) = e23
& op2(unit2,e23) = e23
& op2(e22,unit2) = e22
& op2(unit2,e22) = e22
& op2(e21,unit2) = e21
& op2(unit2,e21) = e21
& op2(e20,unit2) = e20
& op2(unit2,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ( op2(e24,e24) = e24
| op2(e23,e24) = e24
| op2(e22,e24) = e24
| op2(e21,e24) = e24
| op2(e20,e24) = e24 )
& ( op2(e24,e24) = e24
| op2(e24,e23) = e24
| op2(e24,e22) = e24
| op2(e24,e21) = e24
| op2(e24,e20) = e24 )
& ( op2(e24,e24) = e23
| op2(e23,e24) = e23
| op2(e22,e24) = e23
| op2(e21,e24) = e23
| op2(e20,e24) = e23 )
& ( op2(e24,e24) = e23
| op2(e24,e23) = e23
| op2(e24,e22) = e23
| op2(e24,e21) = e23
| op2(e24,e20) = e23 )
& ( op2(e24,e24) = e22
| op2(e23,e24) = e22
| op2(e22,e24) = e22
| op2(e21,e24) = e22
| op2(e20,e24) = e22 )
& ( op2(e24,e24) = e22
| op2(e24,e23) = e22
| op2(e24,e22) = e22
| op2(e24,e21) = e22
| op2(e24,e20) = e22 )
& ( op2(e24,e24) = e21
| op2(e23,e24) = e21
| op2(e22,e24) = e21
| op2(e21,e24) = e21
| op2(e20,e24) = e21 )
& ( op2(e24,e24) = e21
| op2(e24,e23) = e21
| op2(e24,e22) = e21
| op2(e24,e21) = e21
| op2(e24,e20) = e21 )
& ( op2(e24,e24) = e20
| op2(e23,e24) = e20
| op2(e22,e24) = e20
| op2(e21,e24) = e20
| op2(e20,e24) = e20 )
& ( op2(e24,e24) = e20
| op2(e24,e23) = e20
| op2(e24,e22) = e20
| op2(e24,e21) = e20
| op2(e24,e20) = e20 )
& ( op2(e24,e23) = e24
| op2(e23,e23) = e24
| op2(e22,e23) = e24
| op2(e21,e23) = e24
| op2(e20,e23) = e24 )
& ( op2(e23,e24) = e24
| op2(e23,e23) = e24
| op2(e23,e22) = e24
| op2(e23,e21) = e24
| op2(e23,e20) = e24 )
& ( op2(e24,e23) = e23
| op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e24) = e23
| op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e24,e23) = e22
| op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e24) = e22
| op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e24,e23) = e21
| op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e24) = e21
| op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e24,e23) = e20
| op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e24) = e20
| op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e24,e22) = e24
| op2(e23,e22) = e24
| op2(e22,e22) = e24
| op2(e21,e22) = e24
| op2(e20,e22) = e24 )
& ( op2(e22,e24) = e24
| op2(e22,e23) = e24
| op2(e22,e22) = e24
| op2(e22,e21) = e24
| op2(e22,e20) = e24 )
& ( op2(e24,e22) = e23
| op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e24) = e23
| op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e24,e22) = e22
| op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e24) = e22
| op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e24,e22) = e21
| op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e24) = e21
| op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e24,e22) = e20
| op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e24) = e20
| op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e24,e21) = e24
| op2(e23,e21) = e24
| op2(e22,e21) = e24
| op2(e21,e21) = e24
| op2(e20,e21) = e24 )
& ( op2(e21,e24) = e24
| op2(e21,e23) = e24
| op2(e21,e22) = e24
| op2(e21,e21) = e24
| op2(e21,e20) = e24 )
& ( op2(e24,e21) = e23
| op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e24) = e23
| op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e24,e21) = e22
| op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e24) = e22
| op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e24,e21) = e21
| op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e24) = e21
| op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e24,e21) = e20
| op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e24) = e20
| op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e24,e20) = e24
| op2(e23,e20) = e24
| op2(e22,e20) = e24
| op2(e21,e20) = e24
| op2(e20,e20) = e24 )
& ( op2(e20,e24) = e24
| op2(e20,e23) = e24
| op2(e20,e22) = e24
| op2(e20,e21) = e24
| op2(e20,e20) = e24 )
& ( op2(e24,e20) = e23
| op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e24) = e23
| op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e24,e20) = e22
| op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e24) = e22
| op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e24,e20) = e21
| op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e24) = e21
| op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e24,e20) = e20
| op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e24) = 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(f7,axiom,
( op1(e14,e13) != op1(e14,e14)
& op1(e14,e12) != op1(e14,e14)
& op1(e14,e12) != op1(e14,e13)
& op1(e14,e11) != op1(e14,e14)
& op1(e14,e11) != op1(e14,e13)
& op1(e14,e11) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e14)
& op1(e14,e10) != op1(e14,e13)
& op1(e14,e10) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e11)
& op1(e13,e13) != op1(e13,e14)
& op1(e13,e12) != op1(e13,e14)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e14)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e14)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e13) != op1(e12,e14)
& op1(e12,e12) != op1(e12,e14)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e14)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e14)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e13) != op1(e11,e14)
& op1(e11,e12) != op1(e11,e14)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e14)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e14)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e13) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e14)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e14)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e13,e14) != op1(e14,e14)
& op1(e12,e14) != op1(e14,e14)
& op1(e12,e14) != op1(e13,e14)
& op1(e11,e14) != op1(e14,e14)
& op1(e11,e14) != op1(e13,e14)
& op1(e11,e14) != op1(e12,e14)
& op1(e10,e14) != op1(e14,e14)
& op1(e10,e14) != op1(e13,e14)
& op1(e10,e14) != op1(e12,e14)
& op1(e10,e14) != op1(e11,e14)
& op1(e13,e13) != op1(e14,e13)
& op1(e12,e13) != op1(e14,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e14,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e14,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e13,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e14,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e14,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e13,e11) != op1(e14,e11)
& op1(e12,e11) != op1(e14,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e14,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e14,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e13,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e14,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e14,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(f8,axiom,
( op2(e24,e23) != op2(e24,e24)
& op2(e24,e22) != op2(e24,e24)
& op2(e24,e22) != op2(e24,e23)
& op2(e24,e21) != op2(e24,e24)
& op2(e24,e21) != op2(e24,e23)
& op2(e24,e21) != op2(e24,e22)
& op2(e24,e20) != op2(e24,e24)
& op2(e24,e20) != op2(e24,e23)
& op2(e24,e20) != op2(e24,e22)
& op2(e24,e20) != op2(e24,e21)
& op2(e23,e23) != op2(e23,e24)
& op2(e23,e22) != op2(e23,e24)
& op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e24)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e24)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e23) != op2(e22,e24)
& op2(e22,e22) != op2(e22,e24)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e24)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e24)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e23) != op2(e21,e24)
& op2(e21,e22) != op2(e21,e24)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e24)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e24)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e23) != op2(e20,e24)
& op2(e20,e22) != op2(e20,e24)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e24)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e24)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e23,e24) != op2(e24,e24)
& op2(e22,e24) != op2(e24,e24)
& op2(e22,e24) != op2(e23,e24)
& op2(e21,e24) != op2(e24,e24)
& op2(e21,e24) != op2(e23,e24)
& op2(e21,e24) != op2(e22,e24)
& op2(e20,e24) != op2(e24,e24)
& op2(e20,e24) != op2(e23,e24)
& op2(e20,e24) != op2(e22,e24)
& op2(e20,e24) != op2(e21,e24)
& op2(e23,e23) != op2(e24,e23)
& op2(e22,e23) != op2(e24,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e24,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e24,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e23,e22) != op2(e24,e22)
& op2(e22,e22) != op2(e24,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e24,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e24,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e23,e21) != op2(e24,e21)
& op2(e22,e21) != op2(e24,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e24,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e24,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e23,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e24,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e24,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(f9,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( ( op1(e14,e14) = e14
| op1(e13,e13) = e14
| op1(e12,e12) = e14
| op1(e11,e11) = e14
| op1(e10,e10) = e14 )
& ( op1(e14,e14) = e13
| op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e14,e14) = e12
| op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e14,e14) = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e14,e14) = e10
| op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( ( op2(e24,e24) = e24
| op2(e23,e23) = e24
| op2(e22,e22) = e24
| op2(e21,e21) = e24
| op2(e20,e20) = e24 )
& ( op2(e24,e24) = e23
| op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e24,e24) = e22
| op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e24,e24) = e21
| op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e24,e24) = e20
| op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( e14 = op1(e11,e11)
& e13 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(op1(e11,e11),op1(e11,e11)))
& e12 = op1(op1(e11,e11),op1(e11,e11))
& e10 = op1(e11,op1(op1(e11,e11),op1(e11,e11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( e24 = op2(e21,e21)
& e23 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21)))
& e22 = op2(op2(e21,e21),op2(e21,e21))
& e20 = op2(e21,op2(op2(e21,e21),op2(e21,e21))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h1(e14) = op2(e20,e20)
& h1(e13) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20)))
& h1(e12) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e11) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h2(e14) = op2(e21,e21)
& h2(e13) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21)))
& h2(e12) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e11) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( h3(e14) = op2(e22,e22)
& h3(e13) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22)))
& h3(e12) = op2(op2(e22,e22),op2(e22,e22))
& h3(e10) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e11) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( h4(e14) = op2(e23,e23)
& h4(e13) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23)))
& h4(e12) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e11) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( h5(e14) = op2(e24,e24)
& h5(e13) = op2(op2(op2(e24,e24),op2(e24,e24)),op2(op2(e24,e24),op2(e24,e24)))
& h5(e12) = op2(op2(e24,e24),op2(e24,e24))
& h5(e10) = op2(e24,op2(op2(e24,e24),op2(e24,e24)))
& h5(e11) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
( ( ( h5(e14) = e24
| h5(e13) = e24
| h5(e12) = e24
| h5(e11) = e24
| h5(e10) = e24 )
& ( h5(e14) = e23
| h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23 )
& ( h5(e14) = e22
| h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22 )
& ( h5(e14) = e21
| h5(e13) = e21
| h5(e12) = e21
| h5(e11) = e21
| h5(e10) = e21 )
& ( h5(e14) = e20
| h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20 )
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( h4(e14) = e24
| h4(e13) = e24
| h4(e12) = e24
| h4(e11) = e24
| h4(e10) = e24 )
& ( h4(e14) = e23
| h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e14) = e22
| h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e14) = e21
| h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e14) = e20
| h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& 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,e14)) = op2(h4(e12),h4(e14))
& 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,e14)) = op2(h4(e11),h4(e14))
& 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,e14)) = op2(h4(e10),h4(e14))
& 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(e14) = e24
| h3(e13) = e24
| h3(e12) = e24
| h3(e11) = e24
| h3(e10) = e24 )
& ( h3(e14) = e23
| h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e14) = e22
| h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e14) = e21
| h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e14) = e20
| h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& 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,e14)) = op2(h3(e12),h3(e14))
& 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,e14)) = op2(h3(e11),h3(e14))
& 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,e14)) = op2(h3(e10),h3(e14))
& 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(e14) = e24
| h2(e13) = e24
| h2(e12) = e24
| h2(e11) = e24
| h2(e10) = e24 )
& ( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e14) = e21
| h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e14) = e20
| h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& 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,e14)) = op2(h2(e12),h2(e14))
& 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,e14)) = op2(h2(e11),h2(e14))
& 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,e14)) = op2(h2(e10),h2(e14))
& 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(e14) = e24
| h1(e13) = e24
| h1(e12) = e24
| h1(e11) = e24
| h1(e10) = e24 )
& ( h1(e14) = e23
| h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e14) = e22
| h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e14) = e21
| h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e14) = e20
| h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& 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,e14)) = op2(h1(e12),h1(e14))
& 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,e14)) = op2(h1(e11),h1(e14))
& 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,e14)) = op2(h1(e10),h1(e14))
& 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(f22,negated_conjecture,
~ ( ( ( h5(e14) = e24
| h5(e13) = e24
| h5(e12) = e24
| h5(e11) = e24
| h5(e10) = e24 )
& ( h5(e14) = e23
| h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23 )
& ( h5(e14) = e22
| h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22 )
& ( h5(e14) = e21
| h5(e13) = e21
| h5(e12) = e21
| h5(e11) = e21
| h5(e10) = e21 )
& ( h5(e14) = e20
| h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20 )
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( h4(e14) = e24
| h4(e13) = e24
| h4(e12) = e24
| h4(e11) = e24
| h4(e10) = e24 )
& ( h4(e14) = e23
| h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e14) = e22
| h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e14) = e21
| h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e14) = e20
| h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& 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,e14)) = op2(h4(e12),h4(e14))
& 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,e14)) = op2(h4(e11),h4(e14))
& 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,e14)) = op2(h4(e10),h4(e14))
& 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(e14) = e24
| h3(e13) = e24
| h3(e12) = e24
| h3(e11) = e24
| h3(e10) = e24 )
& ( h3(e14) = e23
| h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e14) = e22
| h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e14) = e21
| h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e14) = e20
| h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& 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,e14)) = op2(h3(e12),h3(e14))
& 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,e14)) = op2(h3(e11),h3(e14))
& 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,e14)) = op2(h3(e10),h3(e14))
& 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(e14) = e24
| h2(e13) = e24
| h2(e12) = e24
| h2(e11) = e24
| h2(e10) = e24 )
& ( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e14) = e21
| h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e14) = e20
| h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& 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,e14)) = op2(h2(e12),h2(e14))
& 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,e14)) = op2(h2(e11),h2(e14))
& 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,e14)) = op2(h2(e10),h2(e14))
& 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(e14) = e24
| h1(e13) = e24
| h1(e12) = e24
| h1(e11) = e24
| h1(e10) = e24 )
& ( h1(e14) = e23
| h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e14) = e22
| h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e14) = e21
| h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e14) = e20
| h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& 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,e14)) = op2(h1(e12),h1(e14))
& 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,e14)) = op2(h1(e11),h1(e14))
& 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,e14)) = op2(h1(e10),h1(e14))
& 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)],[f21]) ).
fof(f29,plain,
( op1(e11,e11) = e14
| op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e12,e12) = e14
| op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e12,e13) = e14
| op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op1(e14,e12) = e14
| op1(e14,e12) = e13
| op1(e14,e12) = e12
| op1(e14,e12) = e11
| op1(e14,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f47,plain,
( op1(e14,e14) = e14
| op1(e14,e14) = e13
| op1(e14,e14) = e12
| op1(e14,e14) = e11
| op1(e14,e14) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
op1(unit1,e10) = e10,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
op1(e10,unit1) = e10,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
op1(unit1,e11) = e11,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
op1(e11,unit1) = e11,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e12,unit1) = e12,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
op1(e13,unit1) = e13,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
op1(unit1,e14) = e14,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
op1(e14,unit1) = e14,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( unit1 = e14
| unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e10,e14) = e14
| op1(e10,e13) = e14
| op1(e10,e12) = e14
| op1(e10,e11) = e14
| op1(e10,e10) = e14 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op1(e14,e11) = e10
| op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op1(e11,e14) = e13
| op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op1(e14,e11) = e13
| op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op1(e12,e14) = e11
| op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op1(e14,e12) = e12
| op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
( op1(e14,e12) = e14
| op1(e13,e12) = e14
| op1(e12,e12) = e14
| op1(e11,e12) = e14
| op1(e10,e12) = e14 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
( op1(e14,e13) = e10
| op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
( op1(e13,e14) = e12
| op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
( op1(e14,e13) = e12
| op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
( op1(e14,e13) = e13
| op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
( op1(e14,e14) = e10
| op1(e13,e14) = e10
| op1(e12,e14) = e10
| op1(e11,e14) = e10
| op1(e10,e14) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
( op2(e21,e21) = e24
| op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
( op2(e21,e22) = e24
| op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
( op2(e21,e24) = e24
| op2(e21,e24) = e23
| op2(e21,e24) = e22
| op2(e21,e24) = e21
| op2(e21,e24) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
( op2(e22,e21) = e24
| op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
( op2(e22,e22) = e24
| op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op2(unit2,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op2(e21,unit2) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op2(unit2,e22) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op2(e23,unit2) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op2(unit2,e24) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op2(e24,unit2) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
( unit2 = e24
| unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
( op2(e20,e24) = e21
| op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f159,plain,
( op2(e21,e24) = e22
| op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
( op2(e24,e22) = e21
| op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
( op2(e22,e24) = e24
| op2(e22,e23) = e24
| op2(e22,e22) = e24
| op2(e22,e21) = e24
| op2(e22,e20) = e24 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
( op2(e24,e22) = e24
| op2(e23,e22) = e24
| op2(e22,e22) = e24
| op2(e21,e22) = e24
| op2(e20,e22) = e24 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
( op2(e23,e24) = e22
| op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
( op2(e24,e24) = e20
| op2(e24,e23) = e20
| op2(e24,e22) = e20
| op2(e24,e21) = e20
| op2(e24,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
( op2(e24,e24) = e20
| op2(e23,e24) = e20
| op2(e22,e24) = e20
| op2(e21,e24) = e20
| op2(e20,e24) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
( op2(e24,e24) = e21
| op2(e23,e24) = e21
| op2(e22,e24) = e21
| op2(e21,e24) = e21
| op2(e20,e24) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
( op2(e24,e24) = e22
| op2(e23,e24) = e22
| op2(e22,e24) = e22
| op2(e21,e24) = e22
| op2(e20,e24) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
( op2(e24,e24) = e23
| op2(e24,e23) = e23
| op2(e24,e22) = e23
| op2(e24,e21) = e23
| op2(e24,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f196,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f197,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f198,plain,
op1(e10,e10) != op1(e14,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f202,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f208,plain,
op1(e10,e11) != op1(e14,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f209,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f210,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f220,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f221,plain,
op1(e11,e12) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f223,plain,
op1(e12,e12) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f225,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f227,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f229,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f232,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f236,plain,
op1(e10,e14) != op1(e12,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f244,plain,
op1(e13,e14) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f246,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f247,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f248,plain,
op1(e10,e10) != op1(e10,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f250,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f253,plain,
op1(e10,e12) != op1(e10,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f255,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f256,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f262,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f266,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f267,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f268,plain,
op1(e12,e10) != op1(e12,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f269,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f270,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f271,plain,
op1(e12,e11) != op1(e12,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f272,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f275,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f282,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f284,plain,
op1(e13,e13) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f285,plain,
op1(e14,e10) != op1(e14,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f286,plain,
op1(e14,e10) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f288,plain,
op1(e14,e10) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f290,plain,
op1(e14,e11) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f292,plain,
op1(e14,e12) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f293,plain,
op1(e14,e12) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f294,plain,
op1(e14,e13) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f295,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f302,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f303,plain,
op2(e22,e20) != op2(e24,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f306,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f309,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f310,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f311,plain,
op2(e21,e21) != op2(e24,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f312,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f315,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f321,plain,
op2(e21,e22) != op2(e24,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f322,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f323,plain,
op2(e22,e22) != op2(e24,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f327,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f328,plain,
op2(e20,e23) != op2(e24,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f336,plain,
op2(e20,e24) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f338,plain,
op2(e20,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f341,plain,
op2(e21,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f343,plain,
op2(e22,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f344,plain,
op2(e23,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f353,plain,
op2(e20,e22) != op2(e20,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f356,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f358,plain,
op2(e21,e20) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f360,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f361,plain,
op2(e21,e21) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f362,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f363,plain,
op2(e21,e22) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f366,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f369,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f371,plain,
op2(e22,e21) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f372,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f377,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f382,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f388,plain,
op2(e24,e20) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f391,plain,
op2(e24,e21) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f393,plain,
op2(e24,e22) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f394,plain,
op2(e24,e23) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f395,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f396,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f397,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f398,plain,
e10 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f399,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f400,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f401,plain,
e11 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f402,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f403,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f404,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f405,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f406,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f407,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f408,plain,
e20 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f409,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f410,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f411,plain,
e21 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f412,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f413,plain,
e22 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f414,plain,
e23 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f440,plain,
( op1(e14,e14) = e10
| op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f441,plain,
( op1(e14,e14) = e11
| op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f445,plain,
( op2(e24,e24) = e20
| op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f446,plain,
( op2(e24,e24) = e21
| op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f450,plain,
e10 = op1(e11,op1(op1(e11,e11),op1(e11,e11))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f451,plain,
e12 = op1(op1(e11,e11),op1(e11,e11)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f452,plain,
e13 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(op1(e11,e11),op1(e11,e11))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f453,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f454,plain,
e20 = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f455,plain,
e22 = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f456,plain,
e23 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f457,plain,
e24 = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f458,plain,
h1(e11) = e20,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f459,plain,
h1(e10) = op2(e20,op2(op2(e20,e20),op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f460,plain,
h1(e12) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f461,plain,
h1(e13) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(op2(e20,e20),op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f462,plain,
h1(e14) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f463,plain,
h2(e11) = e21,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f464,plain,
h2(e10) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f465,plain,
h2(e12) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f466,plain,
h2(e13) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(op2(e21,e21),op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f467,plain,
h2(e14) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f468,plain,
h3(e11) = e22,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f469,plain,
h3(e10) = op2(e22,op2(op2(e22,e22),op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f470,plain,
h3(e12) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f471,plain,
h3(e13) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f472,plain,
h3(e14) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f473,plain,
h4(e11) = e23,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f474,plain,
h4(e10) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f475,plain,
h4(e12) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f476,plain,
h4(e13) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f477,plain,
h4(e14) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f478,plain,
h5(e11) = e24,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f479,plain,
h5(e10) = op2(e24,op2(op2(e24,e24),op2(e24,e24))),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f480,plain,
h5(e12) = op2(op2(e24,e24),op2(e24,e24)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f481,plain,
h5(e13) = op2(op2(op2(e24,e24),op2(e24,e24)),op2(op2(e24,e24),op2(e24,e24))),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f482,plain,
h5(e14) = op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f483,plain,
( ( ( h5(e14) != e24
& h5(e13) != e24
& h5(e12) != e24
& h5(e11) != e24
& h5(e10) != e24 )
| ( h5(e14) != e23
& h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| ( h5(e14) != e22
& h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 )
| ( h5(e14) != e21
& h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 )
| ( h5(e14) != e20
& h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 )
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14))
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13))
| h5(op1(e14,e12)) != op2(h5(e14),h5(e12))
| h5(op1(e14,e11)) != op2(h5(e14),h5(e11))
| h5(op1(e14,e10)) != op2(h5(e14),h5(e10))
| h5(op1(e13,e14)) != op2(h5(e13),h5(e14))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e14)) != op2(h5(e12),h5(e14))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e14)) != op2(h5(e10),h5(e14))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e14) != e24
& h4(e13) != e24
& h4(e12) != e24
& h4(e11) != e24
& h4(e10) != e24 )
| ( h4(e14) != e23
& h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e14) != e22
& h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e14) != e21
& h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e14) != e20
& h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| 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,e14)) != op2(h4(e12),h4(e14))
| 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,e14)) != op2(h4(e11),h4(e14))
| 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,e14)) != op2(h4(e10),h4(e14))
| 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(e14) != e24
& h3(e13) != e24
& h3(e12) != e24
& h3(e11) != e24
& h3(e10) != e24 )
| ( h3(e14) != e23
& h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e14) != e22
& h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e14) != e21
& h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e14) != e20
& h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14))
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13))
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12))
| h3(op1(e14,e11)) != op2(h3(e14),h3(e11))
| h3(op1(e14,e10)) != op2(h3(e14),h3(e10))
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14))
| 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,e14)) != op2(h3(e12),h3(e14))
| 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,e14)) != op2(h3(e11),h3(e14))
| 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,e14)) != op2(h3(e10),h3(e14))
| 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(e14) != e24
& h2(e13) != e24
& h2(e12) != e24
& h2(e11) != e24
& h2(e10) != e24 )
| ( h2(e14) != e23
& h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e14) != e22
& h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e14) != e21
& h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e14) != e20
& h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| 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,e14)) != op2(h2(e12),h2(e14))
| 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,e14)) != op2(h2(e11),h2(e14))
| 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,e14)) != op2(h2(e10),h2(e14))
| 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(e14) != e24
& h1(e13) != e24
& h1(e12) != e24
& h1(e11) != e24
& h1(e10) != e24 )
| ( h1(e14) != e23
& h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e14) != e22
& h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e14) != e21
& h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e14) != e20
& h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14))
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13))
| h1(op1(e14,e12)) != op2(h1(e14),h1(e12))
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11))
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10))
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14))
| 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,e14)) != op2(h1(e12),h1(e14))
| 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,e14)) != op2(h1(e11),h1(e14))
| 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,e14)) != op2(h1(e10),h1(e14))
| 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)],[f22]) ).
fof(f484,definition,
( sP0_prd
<=> ( h1(e14) != e20
& h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f485,definition,
( sP1_prd
<=> ( h1(e14) != e21
& h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f486,definition,
( sP2_prd
<=> ( h1(e14) != e22
& h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f487,definition,
( sP3_prd
<=> ( h1(e14) != e23
& h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f488,definition,
( sP4_prd
<=> ( h2(e14) != e20
& h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f489,definition,
( sP5_prd
<=> ( h2(e14) != e21
& h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f490,definition,
( sP6_prd
<=> ( h2(e14) != e22
& h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f491,definition,
( sP7_prd
<=> ( h2(e14) != e23
& h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f492,definition,
( sP8_prd
<=> ( h3(e14) != e20
& h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f493,definition,
( sP9_prd
<=> ( h3(e14) != e21
& h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f494,definition,
( sP10_prd
<=> ( h3(e14) != e22
& h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f495,definition,
( sP11_prd
<=> ( h3(e14) != e23
& h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f496,definition,
( sP12_prd
<=> ( h4(e14) != e20
& h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f497,definition,
( sP13_prd
<=> ( h4(e14) != e21
& h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f498,definition,
( sP14_prd
<=> ( h4(e14) != e22
& h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f499,definition,
( sP15_prd
<=> ( h4(e14) != e23
& h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f500,definition,
( sP16_prd
<=> ( h5(e14) != e20
& h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f501,definition,
( sP17_prd
<=> ( h5(e14) != e21
& h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f502,definition,
( sP18_prd
<=> ( h5(e14) != e22
& h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f503,definition,
( sP19_prd
<=> ( h5(e14) != e23
& h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f504,plain,
( ( ( h5(e14) != e24
& h5(e13) != e24
& h5(e12) != e24
& h5(e11) != e24
& h5(e10) != e24 )
| sP19_prd
| sP18_prd
| sP17_prd
| sP16_prd
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14))
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13))
| h5(op1(e14,e12)) != op2(h5(e14),h5(e12))
| h5(op1(e14,e11)) != op2(h5(e14),h5(e11))
| h5(op1(e14,e10)) != op2(h5(e14),h5(e10))
| h5(op1(e13,e14)) != op2(h5(e13),h5(e14))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e14)) != op2(h5(e12),h5(e14))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e14)) != op2(h5(e10),h5(e14))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e14) != e24
& h4(e13) != e24
& h4(e12) != e24
& h4(e11) != e24
& h4(e10) != e24 )
| sP15_prd
| sP14_prd
| sP13_prd
| sP12_prd
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| 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,e14)) != op2(h4(e12),h4(e14))
| 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,e14)) != op2(h4(e11),h4(e14))
| 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,e14)) != op2(h4(e10),h4(e14))
| 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(e14) != e24
& h3(e13) != e24
& h3(e12) != e24
& h3(e11) != e24
& h3(e10) != e24 )
| sP11_prd
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14))
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13))
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12))
| h3(op1(e14,e11)) != op2(h3(e14),h3(e11))
| h3(op1(e14,e10)) != op2(h3(e14),h3(e10))
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14))
| 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,e14)) != op2(h3(e12),h3(e14))
| 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,e14)) != op2(h3(e11),h3(e14))
| 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,e14)) != op2(h3(e10),h3(e14))
| 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(e14) != e24
& h2(e13) != e24
& h2(e12) != e24
& h2(e11) != e24
& h2(e10) != e24 )
| sP7_prd
| sP6_prd
| sP5_prd
| sP4_prd
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| 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,e14)) != op2(h2(e12),h2(e14))
| 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,e14)) != op2(h2(e11),h2(e14))
| 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,e14)) != op2(h2(e10),h2(e14))
| 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(e14) != e24
& h1(e13) != e24
& h1(e12) != e24
& h1(e11) != e24
& h1(e10) != e24 )
| sP3_prd
| sP2_prd
| sP1_prd
| sP0_prd
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14))
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13))
| h1(op1(e14,e12)) != op2(h1(e14),h1(e12))
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11))
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10))
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14))
| 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,e14)) != op2(h1(e12),h1(e14))
| 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,e14)) != op2(h1(e11),h1(e14))
| 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,e14)) != op2(h1(e10),h1(e14))
| 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)],[f483,f503,f502,f501,f500,f499,f498,f497,f496,f495,f494,f493,f492,f491,f490,f489,f488,f487,f486,f485,f484]) ).
fof(f514,plain,
( h2(e14) != e24
| sP7_prd
| sP6_prd
| sP5_prd
| sP4_prd
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| 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,e14)) != op2(h2(e12),h2(e14))
| 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,e14)) != op2(h2(e11),h2(e14))
| 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,e14)) != op2(h2(e10),h2(e14))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f558,plain,
( ( h2(e14) = e20
| h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP4_prd )
& ( ( h2(e14) != e20
& h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f559,plain,
( h2(e10) != e20
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f565,plain,
( ( h2(e14) = e21
| h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP5_prd )
& ( ( h2(e14) != e21
& h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f489]) ).
fof(f567,plain,
( h2(e11) != e21
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f565]) ).
fof(f572,plain,
( ( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP6_prd )
& ( ( h2(e14) != e22
& h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f490]) ).
fof(f575,plain,
( h2(e12) != e22
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f579,plain,
( ( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23
| sP7_prd )
& ( ( h2(e14) != e23
& h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f491]) ).
fof(f583,plain,
( h2(e13) != e23
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f600,plain,
( ( h3(e14) = e22
| h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e14) != e22
& h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f494]) ).
fof(f602,plain,
( h3(e11) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f607,plain,
( ( h3(e14) = e23
| h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23
| sP11_prd )
& ( ( h3(e14) != e23
& h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f612,plain,
( h3(e14) != e23
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f607]) ).
fof(f656,plain,
( ( h5(e14) = e22
| h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22
| sP18_prd )
& ( ( h5(e14) != e22
& h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f502]) ).
fof(f661,plain,
( h5(e14) != e22
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f663,plain,
( ( h5(e14) = e23
| h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23
| sP19_prd )
& ( ( h5(e14) != e23
& h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f503]) ).
fof(f666,plain,
( h5(e12) != e23
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f670,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ4_spl
<=> op1(e10,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ4_spl
| op1(e10,e10) = e14 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f686,definition,
( sQ5_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ5_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,definition,
( sQ6_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ6_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ7_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f693,plain,
( ~ sQ7_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,definition,
( sQ8_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f698,definition,
( sQ9_spl
<=> op1(e10,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ9_spl
| op1(e10,e11) = e14 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f702,definition,
( sQ10_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ10_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ11_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ11_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,definition,
( sQ12_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ12_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f714,definition,
( sQ14_spl
<=> op1(e10,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f718,definition,
( sQ15_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ15_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ16_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ16_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ17_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ17_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,definition,
( sQ18_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ18_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,definition,
( sQ19_spl
<=> op1(e10,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ19_spl
| op1(e10,e13) = e14 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f734,definition,
( sQ20_spl
<=> op1(e10,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ20_spl
| op1(e10,e14) = e10 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ21_spl
<=> op1(e10,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f740,definition,
( sQ22_spl
<=> op1(e10,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ22_spl
| op1(e10,e14) = e12 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ23_spl
<=> op1(e10,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ23_spl
| op1(e10,e14) = e13 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ24_spl
<=> op1(e10,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ24_spl
| op1(e10,e14) = e14 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f750,definition,
( sQ25_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ25_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ26_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ26_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ27_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ27_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ28_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ28_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ29_spl
<=> op1(e11,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ29_spl
| op1(e11,e10) = e14 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f766,definition,
( sQ30_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ30_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ31_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ31_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ32_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ32_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,definition,
( sQ33_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ33_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ34_spl
<=> op1(e11,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f29,f766,f769,f772,f775,f778]) ).
fof(f782,definition,
( sQ35_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ35_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f784,plain,
( sQ35_spl
| op1(e11,e12) != e10 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ36_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ36_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ37_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ37_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ38_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ38_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ39_spl
<=> op1(e11,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ39_spl
| op1(e11,e12) = e14 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f798,definition,
( sQ40_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f801,definition,
( sQ41_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ41_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ42_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ42_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ43_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f810,definition,
( sQ44_spl
<=> op1(e11,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f814,definition,
( sQ45_spl
<=> op1(e11,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ45_spl
| op1(e11,e14) = e10 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f823,definition,
( sQ48_spl
<=> op1(e11,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ48_spl
| op1(e11,e14) = e13 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ49_spl
<=> op1(e11,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ49_spl
| op1(e11,e14) = e14 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f830,definition,
( sQ50_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f833,definition,
( sQ51_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ51_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ52_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ52_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ53_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ53_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ54_spl
<=> op1(e12,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f846,definition,
( sQ55_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ55_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ56_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ56_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f855,definition,
( sQ58_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ58_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ59_spl
<=> op1(e12,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ59_spl
| op1(e12,e11) = e14 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f862,definition,
( sQ60_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ60_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ61_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ61_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ62_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ62_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ63_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f874,definition,
( sQ64_spl
<=> op1(e12,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ64_spl
| op1(e12,e12) = e14 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f862,f865,f868,f871,f874]) ).
fof(f878,definition,
( sQ65_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f879,plain,
( ~ sQ65_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ66_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f884,definition,
( sQ67_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f887,definition,
( sQ68_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( ~ sQ68_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,definition,
( sQ69_spl
<=> op1(e12,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ69_spl
| op1(e12,e13) = e14 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f36,f878,f881,f884,f887,f890]) ).
fof(f894,definition,
( sQ70_spl
<=> op1(e12,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f897,definition,
( sQ71_spl
<=> op1(e12,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ71_spl
| op1(e12,e14) = e11 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ72_spl
<=> op1(e12,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f903,definition,
( sQ73_spl
<=> op1(e12,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ73_spl
| op1(e12,e14) = e13 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
( sQ74_spl
<=> op1(e12,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ74_spl
| op1(e12,e14) = e14 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f910,definition,
( sQ75_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( ~ sQ75_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f916,definition,
( sQ77_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f919,definition,
( sQ78_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ78_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ79_spl
<=> op1(e13,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ79_spl
| op1(e13,e10) = e14 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f926,definition,
( sQ80_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ80_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,definition,
( sQ81_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ81_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ82_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ82_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ83_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f938,definition,
( sQ84_spl
<=> op1(e13,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ84_spl
| op1(e13,e11) = e14 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f942,definition,
( sQ85_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f945,definition,
( sQ86_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f948,definition,
( sQ87_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ87_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ88_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ88_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ89_spl
<=> op1(e13,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ89_spl
| op1(e13,e12) = e14 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f958,definition,
( sQ90_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ90_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ91_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ91_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ92_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ92_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ93_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ93_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ94_spl
<=> op1(e13,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ94_spl
| op1(e13,e13) = e14 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f974,definition,
( sQ95_spl
<=> op1(e13,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ95_spl
| op1(e13,e14) = e10 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f980,definition,
( sQ97_spl
<=> op1(e13,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ97_spl
| op1(e13,e14) = e12 ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f993,definition,
( sQ101_spl
<=> op1(e14,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( ~ sQ101_spl
| op1(e14,e10) = e11 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ102_spl
<=> op1(e14,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ102_spl
| op1(e14,e10) = e12 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ103_spl
<=> op1(e14,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ103_spl
| op1(e14,e10) = e13 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ104_spl
<=> op1(e14,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ104_spl
| op1(e14,e10) = e14 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1006,definition,
( sQ105_spl
<=> op1(e14,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ105_spl
| op1(e14,e11) = e10 ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,definition,
( sQ106_spl
<=> op1(e14,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ106_spl
| op1(e14,e11) = e11 ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ107_spl
<=> op1(e14,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ107_spl
| op1(e14,e11) = e12 ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
( sQ108_spl
<=> op1(e14,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ108_spl
| op1(e14,e11) = e13 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ109_spl
<=> op1(e14,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1022,definition,
( sQ110_spl
<=> op1(e14,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1025,definition,
( sQ111_spl
<=> op1(e14,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ111_spl
| op1(e14,e12) = e11 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,definition,
( sQ112_spl
<=> op1(e14,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ112_spl
| op1(e14,e12) = e12 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,definition,
( sQ113_spl
<=> op1(e14,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( ~ sQ113_spl
| op1(e14,e12) = e13 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,definition,
( sQ114_spl
<=> op1(e14,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ114_spl
| op1(e14,e12) = e14 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f45,f1022,f1025,f1028,f1031,f1034]) ).
fof(f1038,definition,
( sQ115_spl
<=> op1(e14,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
( ~ sQ115_spl
| op1(e14,e13) = e10 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,definition,
( sQ116_spl
<=> op1(e14,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
( ~ sQ116_spl
| op1(e14,e13) = e11 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,definition,
( sQ117_spl
<=> op1(e14,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ117_spl
| op1(e14,e13) = e12 ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,definition,
( sQ118_spl
<=> op1(e14,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1050,definition,
( sQ119_spl
<=> op1(e14,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ119_spl
| op1(e14,e13) = e14 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1054,definition,
( sQ120_spl
<=> op1(e14,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ120_spl
| op1(e14,e14) = e10 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,definition,
( sQ121_spl
<=> op1(e14,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( ~ sQ121_spl
| op1(e14,e14) = e11 ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ122_spl
<=> op1(e14,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1063,definition,
( sQ123_spl
<=> op1(e14,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ123_spl
| op1(e14,e14) = e13 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,definition,
( sQ124_spl
<=> op1(e14,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ124_spl
| op1(e14,e14) = e14 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f47,f1054,f1057,f1060,f1063,f1066]) ).
fof(f1070,definition,
( sQ125_spl
<=> unit1 = e10 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ125_spl
| unit1 = e10 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,definition,
( sQ126_spl
<=> unit1 = e11 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ126_spl
| unit1 = e11 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,definition,
( sQ127_spl
<=> unit1 = e12 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ127_spl
| unit1 = e12 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,definition,
( sQ128_spl
<=> unit1 = e13 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( ~ sQ128_spl
| unit1 = e13 ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1082,definition,
( sQ129_spl
<=> unit1 = e14 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ129_spl
| unit1 = e14 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f58,f1070,f1073,f1076,f1079,f1082]) ).
fof(f1094,plain,
( sQ24_spl
| sQ19_spl
| sQ14_spl
| sQ9_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f67,f682,f698,f714,f730,f746]) ).
fof(f1097,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f70,f686,f766,f846,f926,f1006]) ).
fof(f1102,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f75,f759,f775,f791,f807,f823]) ).
fof(f1103,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f76,f695,f775,f855,f935,f1015]) ).
fof(f1108,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f81,f833,f849,f865,f881,f897]) ).
fof(f1111,plain,
( sQ112_spl
| sQ87_spl
| sQ62_spl
| sQ37_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f84,f708,f788,f868,f948,f1028]) ).
fof(f1115,plain,
( sQ114_spl
| sQ89_spl
| sQ64_spl
| sQ39_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f88,f714,f794,f874,f954,f1034]) ).
fof(f1117,plain,
( sQ115_spl
| sQ90_spl
| sQ65_spl
| sQ40_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f90,f718,f798,f878,f958,f1038]) ).
fof(f1120,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f93,f916,f932,f948,f964,f980]) ).
fof(f1121,plain,
( sQ117_spl
| sQ92_spl
| sQ67_spl
| sQ42_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f94,f724,f804,f884,f964,f1044]) ).
fof(f1123,plain,
( sQ118_spl
| sQ93_spl
| sQ68_spl
| sQ43_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f96,f727,f807,f887,f967,f1047]) ).
fof(f1127,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f100,f734,f814,f894,f974,f1054]) ).
fof(f1136,definition,
( sQ130_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1137,plain,
( ~ sQ130_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1139,definition,
( sQ131_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ131_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1155,definition,
( sQ136_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( ~ sQ136_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1168,definition,
( sQ140_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ140_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,definition,
( sQ141_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ141_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,definition,
( sQ142_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ142_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1180,definition,
( sQ144_spl
<=> op2(e20,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1187,definition,
( sQ146_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ146_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1193,definition,
( sQ148_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ148_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1200,definition,
( sQ150_spl
<=> op2(e20,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1201,plain,
( ~ sQ150_spl
| op2(e20,e24) = e20 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,definition,
( sQ151_spl
<=> op2(e20,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1204,plain,
( ~ sQ151_spl
| op2(e20,e24) = e21 ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1206,definition,
( sQ152_spl
<=> op2(e20,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1212,definition,
( sQ154_spl
<=> op2(e20,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( ~ sQ154_spl
| op2(e20,e24) = e24 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1216,definition,
( sQ155_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ155_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,definition,
( sQ156_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ156_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,definition,
( sQ157_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( ~ sQ157_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1232,definition,
( sQ160_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
( ~ sQ160_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,definition,
( sQ161_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( ~ sQ161_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,definition,
( sQ162_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
( ~ sQ162_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,definition,
( sQ163_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( ~ sQ163_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,definition,
( sQ164_spl
<=> op2(e21,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f115,f1232,f1235,f1238,f1241,f1244]) ).
fof(f1248,definition,
( sQ165_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( ~ sQ165_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ166_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ166_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,definition,
( sQ167_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( ~ sQ167_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,definition,
( sQ168_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( ~ sQ168_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,definition,
( sQ169_spl
<=> op2(e21,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ169_spl
| op2(e21,e22) = e24 ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f116,f1248,f1251,f1254,f1257,f1260]) ).
fof(f1264,definition,
( sQ170_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1270,definition,
( sQ172_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ172_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1276,definition,
( sQ174_spl
<=> op2(e21,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( ~ sQ174_spl
| op2(e21,e23) = e24 ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1280,definition,
( sQ175_spl
<=> op2(e21,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1283,definition,
( sQ176_spl
<=> op2(e21,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( ~ sQ176_spl
| op2(e21,e24) = e21 ),
inference(component_clause,[status(thm)],[f1283]) ).
fof(f1286,definition,
( sQ177_spl
<=> op2(e21,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1289,definition,
( sQ178_spl
<=> op2(e21,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1290,plain,
( ~ sQ178_spl
| op2(e21,e24) = e23 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,definition,
( sQ179_spl
<=> op2(e21,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ179_spl
| op2(e21,e24) = e24 ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f118,f1280,f1283,f1286,f1289,f1292]) ).
fof(f1302,definition,
( sQ182_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( ~ sQ182_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1302]) ).
fof(f1305,definition,
( sQ183_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1306,plain,
( ~ sQ183_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1308,definition,
( sQ184_spl
<=> op2(e22,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1312,definition,
( sQ185_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( ~ sQ185_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,definition,
( sQ186_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( ~ sQ186_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,definition,
( sQ187_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( ~ sQ187_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1321,definition,
( sQ188_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( ~ sQ188_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1321]) ).
fof(f1324,definition,
( sQ189_spl
<=> op2(e22,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ189_spl
| op2(e22,e21) = e24 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f120,f1312,f1315,f1318,f1321,f1324]) ).
fof(f1328,definition,
( sQ190_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
( ~ sQ190_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,definition,
( sQ191_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1332,plain,
( ~ sQ191_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1334,definition,
( sQ192_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( ~ sQ192_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,definition,
( sQ193_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1340,definition,
( sQ194_spl
<=> op2(e22,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( ~ sQ194_spl
| op2(e22,e22) = e24 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( sQ194_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f121,f1328,f1331,f1334,f1337,f1340]) ).
fof(f1353,definition,
( sQ198_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( ~ sQ198_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,definition,
( sQ199_spl
<=> op2(e22,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1360,definition,
( sQ200_spl
<=> op2(e22,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1363,definition,
( sQ201_spl
<=> op2(e22,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1366,definition,
( sQ202_spl
<=> op2(e22,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( ~ sQ202_spl
| op2(e22,e24) = e22 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1372,definition,
( sQ204_spl
<=> op2(e22,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1373,plain,
( ~ sQ204_spl
| op2(e22,e24) = e24 ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1376,definition,
( sQ205_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1382,definition,
( sQ207_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1385,definition,
( sQ208_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1398,definition,
( sQ212_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( ~ sQ212_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1404,definition,
( sQ214_spl
<=> op2(e23,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( ~ sQ214_spl
| op2(e23,e21) = e24 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1411,definition,
( sQ216_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1414,definition,
( sQ217_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ217_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,definition,
( sQ218_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1418,plain,
( ~ sQ218_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,definition,
( sQ219_spl
<=> op2(e23,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ219_spl
| op2(e23,e22) = e24 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1424,definition,
( sQ220_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ220_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1427,definition,
( sQ221_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( ~ sQ221_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1427]) ).
fof(f1430,definition,
( sQ222_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( ~ sQ222_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,definition,
( sQ223_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ223_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1440,definition,
( sQ225_spl
<=> op2(e23,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( ~ sQ225_spl
| op2(e23,e24) = e20 ),
inference(component_clause,[status(thm)],[f1440]) ).
fof(f1443,definition,
( sQ226_spl
<=> op2(e23,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( ~ sQ226_spl
| op2(e23,e24) = e21 ),
inference(component_clause,[status(thm)],[f1443]) ).
fof(f1446,definition,
( sQ227_spl
<=> op2(e23,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1456,definition,
( sQ230_spl
<=> op2(e24,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( ~ sQ230_spl
| op2(e24,e20) = e20 ),
inference(component_clause,[status(thm)],[f1456]) ).
fof(f1462,definition,
( sQ232_spl
<=> op2(e24,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1465,definition,
( sQ233_spl
<=> op2(e24,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
( ~ sQ233_spl
| op2(e24,e20) = e23 ),
inference(component_clause,[status(thm)],[f1465]) ).
fof(f1468,definition,
( sQ234_spl
<=> op2(e24,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( ~ sQ234_spl
| op2(e24,e20) = e24 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1472,definition,
( sQ235_spl
<=> op2(e24,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( ~ sQ235_spl
| op2(e24,e21) = e20 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1478,definition,
( sQ237_spl
<=> op2(e24,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1479,plain,
( ~ sQ237_spl
| op2(e24,e21) = e22 ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,definition,
( sQ238_spl
<=> op2(e24,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1482,plain,
( ~ sQ238_spl
| op2(e24,e21) = e23 ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,definition,
( sQ239_spl
<=> op2(e24,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1485,plain,
( ~ sQ239_spl
| op2(e24,e21) = e24 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1488,definition,
( sQ240_spl
<=> op2(e24,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( ~ sQ240_spl
| op2(e24,e22) = e20 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,definition,
( sQ241_spl
<=> op2(e24,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1494,definition,
( sQ242_spl
<=> op2(e24,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1495,plain,
( ~ sQ242_spl
| op2(e24,e22) = e22 ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1497,definition,
( sQ243_spl
<=> op2(e24,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( ~ sQ243_spl
| op2(e24,e22) = e23 ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,definition,
( sQ244_spl
<=> op2(e24,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1501,plain,
( ~ sQ244_spl
| op2(e24,e22) = e24 ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1504,definition,
( sQ245_spl
<=> op2(e24,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ245_spl
| op2(e24,e23) = e20 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1510,definition,
( sQ247_spl
<=> op2(e24,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1511,plain,
( ~ sQ247_spl
| op2(e24,e23) = e22 ),
inference(component_clause,[status(thm)],[f1510]) ).
fof(f1513,definition,
( sQ248_spl
<=> op2(e24,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1514,plain,
( ~ sQ248_spl
| op2(e24,e23) = e23 ),
inference(component_clause,[status(thm)],[f1513]) ).
fof(f1520,definition,
( sQ250_spl
<=> op2(e24,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1521,plain,
( ~ sQ250_spl
| op2(e24,e24) = e20 ),
inference(component_clause,[status(thm)],[f1520]) ).
fof(f1523,definition,
( sQ251_spl
<=> op2(e24,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( ~ sQ251_spl
| op2(e24,e24) = e21 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1526,definition,
( sQ252_spl
<=> op2(e24,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( ~ sQ252_spl
| op2(e24,e24) = e22 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1529,definition,
( sQ253_spl
<=> op2(e24,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1530,plain,
( ~ sQ253_spl
| op2(e24,e24) = e23 ),
inference(component_clause,[status(thm)],[f1529]) ).
fof(f1532,definition,
( sQ254_spl
<=> op2(e24,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1533,plain,
( ~ sQ254_spl
| op2(e24,e24) = e24 ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1536,definition,
( sQ255_spl
<=> unit2 = e20 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( ~ sQ255_spl
| unit2 = e20 ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,definition,
( sQ256_spl
<=> unit2 = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ256_spl
| unit2 = e21 ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ257_spl
<=> unit2 = e22 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1543,plain,
( ~ sQ257_spl
| unit2 = e22 ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,definition,
( sQ258_spl
<=> unit2 = e23 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1546,plain,
( ~ sQ258_spl
| unit2 = e23 ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,definition,
( sQ259_spl
<=> unit2 = e24 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ259_spl
| unit2 = e24 ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1551,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f144,f1536,f1539,f1542,f1545,f1548]) ).
fof(f1554,plain,
( sQ151_spl
| sQ146_spl
| sQ141_spl
| sQ136_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f147,f1139,f1155,f1171,f1187,f1203]) ).
fof(f1566,plain,
( sQ177_spl
| sQ172_spl
| sQ167_spl
| sQ162_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f159,f1222,f1238,f1254,f1270,f1286]) ).
fof(f1575,plain,
( sQ241_spl
| sQ216_spl
| sQ191_spl
| sQ166_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f168,f1171,f1251,f1331,f1411,f1491]) ).
fof(f1580,plain,
( sQ204_spl
| sQ199_spl
| sQ194_spl
| sQ189_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f173,f1308,f1324,f1340,f1356,f1372]) ).
fof(f1581,plain,
( sQ244_spl
| sQ219_spl
| sQ194_spl
| sQ169_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f174,f1180,f1260,f1340,f1420,f1500]) ).
fof(f1586,plain,
( sQ227_spl
| sQ222_spl
| sQ217_spl
| sQ212_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f179,f1382,f1398,f1414,f1430,f1446]) ).
fof(f1592,plain,
( sQ250_spl
| sQ245_spl
| sQ240_spl
| sQ235_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f185,f1456,f1472,f1488,f1504,f1520]) ).
fof(f1593,plain,
( sQ250_spl
| sQ225_spl
| sQ200_spl
| sQ175_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f186,f1200,f1280,f1360,f1440,f1520]) ).
fof(f1595,plain,
( sQ251_spl
| sQ226_spl
| sQ201_spl
| sQ176_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f188,f1203,f1283,f1363,f1443,f1523]) ).
fof(f1597,plain,
( sQ252_spl
| sQ227_spl
| sQ202_spl
| sQ177_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f190,f1206,f1286,f1366,f1446,f1526]) ).
fof(f1598,plain,
( sQ253_spl
| sQ248_spl
| sQ243_spl
| sQ238_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f191,f1465,f1481,f1497,f1513,f1529]) ).
fof(f1602,plain,
( sQ120_spl
| sQ90_spl
| sQ60_spl
| sQ30_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f440,f670,f766,f862,f958,f1054]) ).
fof(f1603,plain,
( sQ121_spl
| sQ91_spl
| sQ61_spl
| sQ31_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f441,f673,f769,f865,f961,f1057]) ).
fof(f1607,plain,
( sQ250_spl
| sQ220_spl
| sQ190_spl
| sQ160_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f445,f1136,f1232,f1328,f1424,f1520]) ).
fof(f1608,plain,
( sQ251_spl
| sQ221_spl
| sQ191_spl
| sQ161_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f446,f1139,f1235,f1331,f1427,f1523]) ).
fof(f1630,definition,
( sQ266_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1631,plain,
( ~ sQ266_spl
| h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1632,plain,
( sQ266_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,definition,
( sQ267_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
( sQ267_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1633]) ).
fof(f1648,definition,
( sQ272_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( sQ272_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1684,definition,
( sQ284_spl
<=> h1(op1(e14,e14)) = op2(h1(e14),h1(e14)) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1686,plain,
( sQ284_spl
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14)) ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1719,definition,
( sQ294_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1721,plain,
( sQ294_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1719]) ).
fof(f1722,definition,
( sQ295_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( sQ295_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1725,definition,
( sQ296_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
( sQ296_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,definition,
( sQ297_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1730,plain,
( sQ297_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,definition,
( sQ298_spl
<=> h2(op1(e10,e14)) = op2(h2(e10),h2(e14)) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( sQ298_spl
| h2(op1(e10,e14)) != op2(h2(e10),h2(e14)) ),
inference(component_clause,[status(thm)],[f1731]) ).
fof(f1734,definition,
( sQ299_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( sQ299_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1737,definition,
( sQ300_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
( sQ300_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1737]) ).
fof(f1740,definition,
( sQ301_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1742,plain,
( sQ301_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1743,definition,
( sQ302_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( sQ302_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1743]) ).
fof(f1746,definition,
( sQ303_spl
<=> h2(op1(e11,e14)) = op2(h2(e11),h2(e14)) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1748,plain,
( sQ303_spl
| h2(op1(e11,e14)) != op2(h2(e11),h2(e14)) ),
inference(component_clause,[status(thm)],[f1746]) ).
fof(f1749,definition,
( sQ304_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
( ~ sQ304_spl
| h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( sQ304_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1752,definition,
( sQ305_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1754,plain,
( sQ305_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1752]) ).
fof(f1755,definition,
( sQ306_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f1757,plain,
( sQ306_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1758,definition,
( sQ307_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( sQ307_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1758]) ).
fof(f1761,definition,
( sQ308_spl
<=> h2(op1(e12,e14)) = op2(h2(e12),h2(e14)) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( sQ308_spl
| h2(op1(e12,e14)) != op2(h2(e12),h2(e14)) ),
inference(component_clause,[status(thm)],[f1761]) ).
fof(f1764,definition,
( sQ309_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( sQ309_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1767,definition,
( sQ310_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f1769,plain,
( sQ310_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1770,definition,
( sQ311_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( sQ311_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1773,definition,
( sQ312_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f1775,plain,
( sQ312_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1773]) ).
fof(f1776,definition,
( sQ313_spl
<=> h2(op1(e13,e14)) = op2(h2(e13),h2(e14)) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
( sQ313_spl
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14)) ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,definition,
( sQ314_spl
<=> h2(op1(e14,e10)) = op2(h2(e14),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f1781,plain,
( sQ314_spl
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10)) ),
inference(component_clause,[status(thm)],[f1779]) ).
fof(f1782,definition,
( sQ315_spl
<=> h2(op1(e14,e11)) = op2(h2(e14),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f1784,plain,
( sQ315_spl
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11)) ),
inference(component_clause,[status(thm)],[f1782]) ).
fof(f1785,definition,
( sQ316_spl
<=> h2(op1(e14,e12)) = op2(h2(e14),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( ~ sQ316_spl
| h2(op1(e14,e12)) = op2(h2(e14),h2(e12)) ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1787,plain,
( sQ316_spl
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12)) ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1788,definition,
( sQ317_spl
<=> h2(op1(e14,e13)) = op2(h2(e14),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( sQ317_spl
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13)) ),
inference(component_clause,[status(thm)],[f1788]) ).
fof(f1791,definition,
( sQ318_spl
<=> h2(op1(e14,e14)) = op2(h2(e14),h2(e14)) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f1793,plain,
( sQ318_spl
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14)) ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1794,definition,
( sQ319_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f1797,definition,
( sQ320_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f1800,definition,
( sQ321_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f1803,definition,
( sQ322_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f1822,definition,
( sQ327_spl
<=> h2(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f1824,plain,
( sQ327_spl
| h2(e14) != e24 ),
inference(component_clause,[status(thm)],[f1822]) ).
fof(f1825,plain,
( ~ sQ327_spl
| sQ322_spl
| sQ321_spl
| sQ320_spl
| sQ319_spl
| ~ sQ318_spl
| ~ sQ317_spl
| ~ sQ316_spl
| ~ sQ315_spl
| ~ sQ314_spl
| ~ sQ313_spl
| ~ sQ312_spl
| ~ sQ311_spl
| ~ sQ310_spl
| ~ sQ309_spl
| ~ sQ308_spl
| ~ sQ307_spl
| ~ sQ306_spl
| ~ sQ305_spl
| ~ sQ304_spl
| ~ sQ303_spl
| ~ sQ302_spl
| ~ sQ301_spl
| ~ sQ300_spl
| ~ sQ299_spl
| ~ sQ298_spl
| ~ sQ297_spl
| ~ sQ296_spl
| ~ sQ295_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f514,f1719,f1722,f1725,f1728,f1731,f1734,f1737,f1740,f1743,f1746,f1749,f1752,f1755,f1758,f1761,f1764,f1767,f1770,f1773,f1776,f1779,f1782,f1785,f1788,f1791,f1794,f1797,f1800,f1803,f1822]) ).
fof(f1844,definition,
( sQ334_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ334_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1847,definition,
( sQ335_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f1849,plain,
( sQ335_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1847]) ).
fof(f1862,definition,
( sQ340_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f1864,plain,
( sQ340_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1862]) ).
fof(f1898,definition,
( sQ352_spl
<=> h3(op1(e14,e14)) = op2(h3(e14),h3(e14)) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
( ~ sQ352_spl
| h3(op1(e14,e14)) = op2(h3(e14),h3(e14)) ),
inference(component_clause,[status(thm)],[f1898]) ).
fof(f1900,plain,
( sQ352_spl
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14)) ),
inference(component_clause,[status(thm)],[f1898]) ).
fof(f1907,definition,
( sQ355_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f1910,definition,
( sQ356_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f1951,definition,
( sQ368_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( ~ sQ368_spl
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1951]) ).
fof(f1953,plain,
( sQ368_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1951]) ).
fof(f1954,definition,
( sQ369_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ369_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1954]) ).
fof(f1969,definition,
( sQ374_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f1971,plain,
( sQ374_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1969]) ).
fof(f2005,definition,
( sQ386_spl
<=> h4(op1(e14,e14)) = op2(h4(e14),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f2007,plain,
( sQ386_spl
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14)) ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2058,definition,
( sQ402_spl
<=> h5(op1(e11,e11)) = op2(h5(e11),h5(e11)) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ402_spl
| h5(op1(e11,e11)) = op2(h5(e11),h5(e11)) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2060,plain,
( sQ402_spl
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11)) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2061,definition,
( sQ403_spl
<=> h5(op1(e11,e12)) = op2(h5(e11),h5(e12)) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f2062,plain,
( ~ sQ403_spl
| h5(op1(e11,e12)) = op2(h5(e11),h5(e12)) ),
inference(component_clause,[status(thm)],[f2061]) ).
fof(f2063,plain,
( sQ403_spl
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12)) ),
inference(component_clause,[status(thm)],[f2061]) ).
fof(f2076,definition,
( sQ408_spl
<=> h5(op1(e12,e12)) = op2(h5(e12),h5(e12)) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( ~ sQ408_spl
| h5(op1(e12,e12)) = op2(h5(e12),h5(e12)) ),
inference(component_clause,[status(thm)],[f2076]) ).
fof(f2078,plain,
( sQ408_spl
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12)) ),
inference(component_clause,[status(thm)],[f2076]) ).
fof(f2112,definition,
( sQ420_spl
<=> h5(op1(e14,e14)) = op2(h5(e14),h5(e14)) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( ~ sQ420_spl
| h5(op1(e14,e14)) = op2(h5(e14),h5(e14)) ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2114,plain,
( sQ420_spl
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14)) ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2121,definition,
( sQ423_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f2124,definition,
( sQ424_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f2131,definition,
( sQ426_spl
<=> h5(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f2133,plain,
( sQ426_spl
| h5(e11) != e24 ),
inference(component_clause,[status(thm)],[f2131]) ).
fof(f2143,definition,
( sQ429_spl
<=> h5(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f2144,plain,
( ~ sQ429_spl
| h5(e14) = e24 ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2145,plain,
( sQ429_spl
| h5(e14) != e24 ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2172,definition,
( sQ436_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f2173,plain,
( ~ sQ436_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f2172]) ).
fof(f2184,definition,
( sQ439_spl
<=> h1(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f2186,plain,
( sQ439_spl
| h1(e14) != e21 ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2193,definition,
( sQ441_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f2194,plain,
( ~ sQ441_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f2193]) ).
fof(f2214,definition,
( sQ446_spl
<=> h1(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
( ~ sQ446_spl
| h1(e11) = e23 ),
inference(component_clause,[status(thm)],[f2214]) ).
fof(f2231,definition,
( sQ450_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f2233,plain,
( sQ450_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2234,plain,
( ~ sQ450_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f559,f1794,f2231]) ).
fof(f2235,definition,
( sQ451_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f2236,plain,
( ~ sQ451_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f2235]) ).
fof(f2239,definition,
( sQ452_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f2240,plain,
( ~ sQ452_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f2239]) ).
fof(f2243,definition,
( sQ453_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f2244,plain,
( ~ sQ453_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f2243]) ).
fof(f2247,definition,
( sQ454_spl
<=> h2(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f2248,plain,
( ~ sQ454_spl
| h2(e14) = e20 ),
inference(component_clause,[status(thm)],[f2247]) ).
fof(f2252,definition,
( sQ455_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( ~ sQ455_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2256,definition,
( sQ456_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f2258,plain,
( sQ456_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2259,plain,
( ~ sQ456_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f567,f1797,f2256]) ).
fof(f2260,definition,
( sQ457_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f2261,plain,
( ~ sQ457_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f2260]) ).
fof(f2264,definition,
( sQ458_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f2265,plain,
( ~ sQ458_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f2264]) ).
fof(f2268,definition,
( sQ459_spl
<=> h2(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f2269,plain,
( ~ sQ459_spl
| h2(e14) = e21 ),
inference(component_clause,[status(thm)],[f2268]) ).
fof(f2273,definition,
( sQ460_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f2274,plain,
( ~ sQ460_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2273]) ).
fof(f2277,definition,
( sQ461_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f2278,plain,
( ~ sQ461_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2277]) ).
fof(f2281,definition,
( sQ462_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f2283,plain,
( sQ462_spl
| h2(e12) != e22 ),
inference(component_clause,[status(thm)],[f2281]) ).
fof(f2284,plain,
( ~ sQ462_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f575,f1800,f2281]) ).
fof(f2285,definition,
( sQ463_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f2286,plain,
( ~ sQ463_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f2285]) ).
fof(f2289,definition,
( sQ464_spl
<=> h2(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f2290,plain,
( ~ sQ464_spl
| h2(e14) = e22 ),
inference(component_clause,[status(thm)],[f2289]) ).
fof(f2294,definition,
( sQ465_spl
<=> h2(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f2295,plain,
( ~ sQ465_spl
| h2(e10) = e23 ),
inference(component_clause,[status(thm)],[f2294]) ).
fof(f2298,definition,
( sQ466_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f2299,plain,
( ~ sQ466_spl
| h2(e11) = e23 ),
inference(component_clause,[status(thm)],[f2298]) ).
fof(f2302,definition,
( sQ467_spl
<=> h2(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f2303,plain,
( ~ sQ467_spl
| h2(e12) = e23 ),
inference(component_clause,[status(thm)],[f2302]) ).
fof(f2306,definition,
( sQ468_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f2308,plain,
( sQ468_spl
| h2(e13) != e23 ),
inference(component_clause,[status(thm)],[f2306]) ).
fof(f2309,plain,
( ~ sQ468_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f583,f1803,f2306]) ).
fof(f2310,definition,
( sQ469_spl
<=> h2(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f2311,plain,
( ~ sQ469_spl
| h2(e14) = e23 ),
inference(component_clause,[status(thm)],[f2310]) ).
fof(f2319,definition,
( sQ471_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f2320,plain,
( ~ sQ471_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f2319]) ).
fof(f2331,definition,
( sQ474_spl
<=> h3(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f2332,plain,
( ~ sQ474_spl
| h3(e14) = e20 ),
inference(component_clause,[status(thm)],[f2331]) ).
fof(f2340,definition,
( sQ476_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f2341,plain,
( ~ sQ476_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f2340]) ).
fof(f2344,definition,
( sQ477_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f2345,plain,
( ~ sQ477_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f2344]) ).
fof(f2352,definition,
( sQ479_spl
<=> h3(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f2353,plain,
( ~ sQ479_spl
| h3(e14) = e21 ),
inference(component_clause,[status(thm)],[f2352]) ).
fof(f2357,definition,
( sQ480_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f2358,plain,
( ~ sQ480_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f2357]) ).
fof(f2359,plain,
( sQ480_spl
| h3(e10) != e22 ),
inference(component_clause,[status(thm)],[f2357]) ).
fof(f2361,definition,
( sQ481_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f2363,plain,
( sQ481_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f2361]) ).
fof(f2364,plain,
( ~ sQ481_spl
| ~ sQ355_spl ),
inference(split_clause,[status(thm)],[f602,f1907,f2361]) ).
fof(f2373,definition,
( sQ484_spl
<=> h3(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f2374,plain,
( ~ sQ484_spl
| h3(e14) = e22 ),
inference(component_clause,[status(thm)],[f2373]) ).
fof(f2382,definition,
( sQ486_spl
<=> h3(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( ~ sQ486_spl
| h3(e11) = e23 ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2394,definition,
( sQ489_spl
<=> h3(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f2396,plain,
( sQ489_spl
| h3(e14) != e23 ),
inference(component_clause,[status(thm)],[f2394]) ).
fof(f2397,plain,
( ~ sQ489_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f612,f1910,f2394]) ).
fof(f2403,definition,
( sQ491_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f2404,plain,
( ~ sQ491_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2403]) ).
fof(f2424,definition,
( sQ496_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f2425,plain,
( ~ sQ496_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2424]) ).
fof(f2445,definition,
( sQ501_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f2446,plain,
( ~ sQ501_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2445]) ).
fof(f2483,definition,
( sQ510_spl
<=> h5(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f2485,plain,
( sQ510_spl
| h5(e10) != e20 ),
inference(component_clause,[status(thm)],[f2483]) ).
fof(f2487,definition,
( sQ511_spl
<=> h5(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f2488,plain,
( ~ sQ511_spl
| h5(e11) = e20 ),
inference(component_clause,[status(thm)],[f2487]) ).
fof(f2491,definition,
( sQ512_spl
<=> h5(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f2492,plain,
( ~ sQ512_spl
| h5(e12) = e20 ),
inference(component_clause,[status(thm)],[f2491]) ).
fof(f2499,definition,
( sQ514_spl
<=> h5(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f2500,plain,
( ~ sQ514_spl
| h5(e14) = e20 ),
inference(component_clause,[status(thm)],[f2499]) ).
fof(f2508,definition,
( sQ516_spl
<=> h5(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f2509,plain,
( ~ sQ516_spl
| h5(e11) = e21 ),
inference(component_clause,[status(thm)],[f2508]) ).
fof(f2512,definition,
( sQ517_spl
<=> h5(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f2513,plain,
( ~ sQ517_spl
| h5(e12) = e21 ),
inference(component_clause,[status(thm)],[f2512]) ).
fof(f2529,definition,
( sQ521_spl
<=> h5(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f2530,plain,
( ~ sQ521_spl
| h5(e11) = e22 ),
inference(component_clause,[status(thm)],[f2529]) ).
fof(f2533,definition,
( sQ522_spl
<=> h5(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f2534,plain,
( ~ sQ522_spl
| h5(e12) = e22 ),
inference(component_clause,[status(thm)],[f2533]) ).
fof(f2541,definition,
( sQ524_spl
<=> h5(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f2542,plain,
( ~ sQ524_spl
| h5(e14) = e22 ),
inference(component_clause,[status(thm)],[f2541]) ).
fof(f2543,plain,
( sQ524_spl
| h5(e14) != e22 ),
inference(component_clause,[status(thm)],[f2541]) ).
fof(f2544,plain,
( ~ sQ524_spl
| ~ sQ423_spl ),
inference(split_clause,[status(thm)],[f661,f2121,f2541]) ).
fof(f2546,definition,
( sQ525_spl
<=> h5(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f2548,plain,
( sQ525_spl
| h5(e10) != e23 ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2550,definition,
( sQ526_spl
<=> h5(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( ~ sQ526_spl
| h5(e11) = e23 ),
inference(component_clause,[status(thm)],[f2550]) ).
fof(f2554,definition,
( sQ527_spl
<=> h5(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f2555,plain,
( ~ sQ527_spl
| h5(e12) = e23 ),
inference(component_clause,[status(thm)],[f2554]) ).
fof(f2556,plain,
( sQ527_spl
| h5(e12) != e23 ),
inference(component_clause,[status(thm)],[f2554]) ).
fof(f2557,plain,
( ~ sQ527_spl
| ~ sQ424_spl ),
inference(split_clause,[status(thm)],[f666,f2124,f2554]) ).
fof(f2562,definition,
( sQ529_spl
<=> h5(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f2563,plain,
( ~ sQ529_spl
| h5(e14) = e23 ),
inference(component_clause,[status(thm)],[f2562]) ).
fof(f2567,plain,
e10 = op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f451,f450]) ).
fof(f2568,plain,
e13 = op1(e12,op1(op1(e11,e11),op1(e11,e11))),
inference(forward_demodulation,[status(thm)],[f451,f452]) ).
fof(f2570,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f2577,f272]) ).
fof(f2571,plain,
op1(e12,e11) != e13,
inference(backward_demodulation,[status(thm)],[f2577,f269]) ).
fof(f2572,plain,
op1(e12,e10) != e13,
inference(backward_demodulation,[status(thm)],[f2577,f266]) ).
fof(f2573,plain,
e13 != op1(e14,e12),
inference(backward_demodulation,[status(thm)],[f2577,f223]) ).
fof(f2577,plain,
e13 = op1(e12,e12),
inference(forward_demodulation,[status(thm)],[f451,f2568]) ).
fof(f2578,plain,
e12 = op1(op1(e11,e11),e14),
inference(backward_demodulation,[status(thm)],[f453,f451]) ).
fof(f2582,plain,
op1(e11,e10) != e14,
inference(backward_demodulation,[status(thm)],[f453,f255]) ).
fof(f2584,plain,
e14 != op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f453,f210]) ).
fof(f2585,plain,
e14 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f453,f209]) ).
fof(f2587,plain,
e20 = op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f455,f454]) ).
fof(f2588,plain,
e23 = op2(e22,op2(op2(e21,e21),op2(e21,e21))),
inference(forward_demodulation,[status(thm)],[f455,f456]) ).
fof(f2590,plain,
e23 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f2597,f372]) ).
fof(f2591,plain,
op2(e22,e21) != e23,
inference(backward_demodulation,[status(thm)],[f2597,f369]) ).
fof(f2592,plain,
op2(e22,e20) != e23,
inference(backward_demodulation,[status(thm)],[f2597,f366]) ).
fof(f2593,plain,
e23 != op2(e24,e22),
inference(backward_demodulation,[status(thm)],[f2597,f323]) ).
fof(f2594,plain,
e23 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f2597,f322]) ).
fof(f2597,plain,
e23 = op2(e22,e22),
inference(forward_demodulation,[status(thm)],[f455,f2588]) ).
fof(f2598,plain,
e22 = op2(op2(e21,e21),e24),
inference(backward_demodulation,[status(thm)],[f457,f455]) ).
fof(f2599,plain,
e24 != op2(e21,e24),
inference(backward_demodulation,[status(thm)],[f457,f361]) ).
fof(f2600,plain,
e24 != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f457,f360]) ).
fof(f2603,plain,
e24 != op2(e24,e21),
inference(backward_demodulation,[status(thm)],[f457,f311]) ).
fof(f2604,plain,
e24 != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f457,f310]) ).
fof(f2605,plain,
e24 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f457,f309]) ).
fof(f2607,plain,
h1(e10) = op2(e20,h1(e12)),
inference(backward_demodulation,[status(thm)],[f460,f459]) ).
fof(f2608,plain,
h1(e13) = op2(h1(e12),op2(op2(e20,e20),op2(e20,e20))),
inference(forward_demodulation,[status(thm)],[f460,f461]) ).
fof(f2609,plain,
h1(e13) = op2(h1(e12),h1(e12)),
inference(forward_demodulation,[status(thm)],[f460,f2608]) ).
fof(f2610,plain,
h1(e12) = op2(op2(e20,e20),h1(e14)),
inference(backward_demodulation,[status(thm)],[f462,f460]) ).
fof(f2618,plain,
h1(e14) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f462,f295]) ).
fof(f2619,plain,
h2(e10) = e20,
inference(forward_demodulation,[status(thm)],[f454,f464]) ).
fof(f2620,plain,
h2(e12) = e22,
inference(forward_demodulation,[status(thm)],[f455,f465]) ).
fof(f2621,plain,
h2(e13) = op2(e22,op2(op2(e21,e21),op2(e21,e21))),
inference(forward_demodulation,[status(thm)],[f455,f466]) ).
fof(f2622,plain,
h2(e13) = op2(e22,e22),
inference(forward_demodulation,[status(thm)],[f455,f2621]) ).
fof(f2623,plain,
h2(e13) = e23,
inference(forward_demodulation,[status(thm)],[f2597,f2622]) ).
fof(f2624,plain,
h2(e14) = e24,
inference(forward_demodulation,[status(thm)],[f457,f467]) ).
fof(f2625,plain,
h3(e10) = op2(e22,op2(e23,op2(e22,e22))),
inference(forward_demodulation,[status(thm)],[f2597,f469]) ).
fof(f2626,plain,
h3(e10) = op2(e22,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2597,f2625]) ).
fof(f2627,plain,
h3(e12) = op2(e23,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f2597,f470]) ).
fof(f2628,plain,
h3(e10) = op2(e22,h3(e12)),
inference(backward_demodulation,[status(thm)],[f2637,f2626]) ).
fof(f2630,plain,
op2(e23,e22) != h3(e12),
inference(backward_demodulation,[status(thm)],[f2637,f382]) ).
fof(f2632,plain,
op2(e23,e20) != h3(e12),
inference(backward_demodulation,[status(thm)],[f2637,f377]) ).
fof(f2636,plain,
op2(e20,e23) != h3(e12),
inference(backward_demodulation,[status(thm)],[f2637,f327]) ).
fof(f2637,plain,
h3(e12) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f2597,f2627]) ).
fof(f2638,plain,
h3(e13) = op2(op2(e23,op2(e22,e22)),op2(op2(e22,e22),op2(e22,e22))),
inference(forward_demodulation,[status(thm)],[f2597,f471]) ).
fof(f2639,plain,
h3(e13) = op2(op2(e23,e23),op2(op2(e22,e22),op2(e22,e22))),
inference(forward_demodulation,[status(thm)],[f2597,f2638]) ).
fof(f2640,plain,
h3(e13) = op2(h3(e12),op2(op2(e22,e22),op2(e22,e22))),
inference(forward_demodulation,[status(thm)],[f2637,f2639]) ).
fof(f2641,plain,
h3(e13) = op2(h3(e12),op2(e23,op2(e22,e22))),
inference(forward_demodulation,[status(thm)],[f2597,f2640]) ).
fof(f2642,plain,
h3(e13) = op2(h3(e12),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2597,f2641]) ).
fof(f2643,plain,
h3(e13) = op2(h3(e12),h3(e12)),
inference(forward_demodulation,[status(thm)],[f2637,f2642]) ).
fof(f2644,plain,
h3(e14) = e23,
inference(forward_demodulation,[status(thm)],[f2597,f472]) ).
fof(f2645,plain,
h4(e10) = op2(e23,op2(h3(e12),op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f2637,f474]) ).
fof(f2646,plain,
h4(e10) = op2(e23,op2(h3(e12),h3(e12))),
inference(forward_demodulation,[status(thm)],[f2637,f2645]) ).
fof(f2647,plain,
h4(e10) = op2(e23,h3(e13)),
inference(forward_demodulation,[status(thm)],[f2643,f2646]) ).
fof(f2648,plain,
h4(e12) = op2(h3(e12),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2637,f475]) ).
fof(f2649,plain,
h4(e12) = op2(h3(e12),h3(e12)),
inference(forward_demodulation,[status(thm)],[f2637,f2648]) ).
fof(f2650,plain,
h4(e12) = h3(e13),
inference(forward_demodulation,[status(thm)],[f2643,f2649]) ).
fof(f2651,plain,
h4(e13) = op2(op2(h3(e12),op2(e23,e23)),op2(op2(e23,e23),op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f2637,f476]) ).
fof(f2652,plain,
h4(e13) = op2(op2(h3(e12),h3(e12)),op2(op2(e23,e23),op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f2637,f2651]) ).
fof(f2653,plain,
h4(e13) = op2(h3(e13),op2(op2(e23,e23),op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f2643,f2652]) ).
fof(f2654,plain,
h4(e13) = op2(h3(e13),op2(h3(e12),op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f2637,f2653]) ).
fof(f2655,plain,
h4(e13) = op2(h3(e13),op2(h3(e12),h3(e12))),
inference(forward_demodulation,[status(thm)],[f2637,f2654]) ).
fof(f2656,plain,
h4(e13) = op2(h3(e13),h3(e13)),
inference(forward_demodulation,[status(thm)],[f2643,f2655]) ).
fof(f2657,plain,
h4(e14) = h3(e12),
inference(forward_demodulation,[status(thm)],[f2637,f477]) ).
fof(f2658,plain,
h5(e10) = op2(e24,h5(e12)),
inference(backward_demodulation,[status(thm)],[f480,f479]) ).
fof(f2659,plain,
h5(e13) = op2(h5(e12),op2(op2(e24,e24),op2(e24,e24))),
inference(forward_demodulation,[status(thm)],[f480,f481]) ).
fof(f2660,plain,
h5(e13) = op2(h5(e12),h5(e12)),
inference(forward_demodulation,[status(thm)],[f480,f2659]) ).
fof(f2661,plain,
h5(e12) = op2(op2(e24,e24),h5(e14)),
inference(backward_demodulation,[status(thm)],[f482,f480]) ).
fof(f2662,plain,
op2(e24,e23) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f394]) ).
fof(f2663,plain,
op2(e24,e22) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f393]) ).
fof(f2664,plain,
op2(e24,e21) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f391]) ).
fof(f2665,plain,
op2(e24,e20) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f388]) ).
fof(f2666,plain,
op2(e23,e24) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f344]) ).
fof(f2667,plain,
op2(e22,e24) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f343]) ).
fof(f2668,plain,
op2(e21,e24) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f341]) ).
fof(f2669,plain,
op2(e20,e24) != h5(e14),
inference(backward_demodulation,[status(thm)],[f482,f338]) ).
fof(f2672,plain,
( sQ408_spl
| h5(e13) != op2(h5(e12),h5(e12)) ),
inference(forward_demodulation,[status(thm)],[f2577,f2078]) ).
fof(f2673,plain,
( sQ408_spl
| h5(e13) != h5(e13) ),
inference(forward_demodulation,[status(thm)],[f2660,f2672]) ).
fof(f2674,plain,
( sQ408_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2673]) ).
fof(f2675,plain,
sQ408_spl,
inference(contradiction_clause,[status(thm)],[f2674]) ).
fof(f2679,plain,
( sQ403_spl
| h5(op1(e11,e12)) != op2(e24,h5(e12)) ),
inference(forward_demodulation,[status(thm)],[f478,f2063]) ).
fof(f2680,plain,
( sQ402_spl
| h5(e14) != op2(h5(e11),h5(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f2060]) ).
fof(f2681,plain,
( sQ402_spl
| h5(e14) != op2(e24,h5(e11)) ),
inference(forward_demodulation,[status(thm)],[f478,f2680]) ).
fof(f2682,plain,
( sQ402_spl
| h5(e14) != op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f478,f2681]) ).
fof(f2683,plain,
( sQ402_spl
| h5(e14) != h5(e14) ),
inference(forward_demodulation,[status(thm)],[f482,f2682]) ).
fof(f2684,plain,
( sQ402_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2683]) ).
fof(f2685,plain,
sQ402_spl,
inference(contradiction_clause,[status(thm)],[f2684]) ).
fof(f2688,plain,
( sQ386_spl
| h4(op1(e14,e14)) != op2(h3(e12),h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f2657,f2007]) ).
fof(f2689,plain,
( sQ386_spl
| h4(op1(e14,e14)) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2657,f2688]) ).
fof(f2690,plain,
( sQ386_spl
| h4(op1(e14,e14)) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f2643,f2689]) ).
fof(f2703,plain,
( sQ374_spl
| h4(e13) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2577,f1971]) ).
fof(f2704,plain,
( sQ374_spl
| h4(e13) != op2(h3(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2650,f2703]) ).
fof(f2705,plain,
( sQ374_spl
| h4(e13) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2650,f2704]) ).
fof(f2706,plain,
( sQ374_spl
| h4(e13) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f2656,f2705]) ).
fof(f2707,plain,
( sQ374_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2706]) ).
fof(f2708,plain,
sQ374_spl,
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2715,plain,
( sQ369_spl
| h4(op1(e11,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f473,f1956]) ).
fof(f2716,plain,
( sQ369_spl
| h4(op1(e11,e12)) != op2(e23,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2650,f2715]) ).
fof(f2717,plain,
( sQ369_spl
| h4(op1(e11,e12)) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f2647,f2716]) ).
fof(f2718,plain,
( sQ368_spl
| h4(e14) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f1953]) ).
fof(f2719,plain,
( sQ368_spl
| h3(e12) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2657,f2718]) ).
fof(f2720,plain,
( sQ368_spl
| h3(e12) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f473,f2719]) ).
fof(f2721,plain,
( sQ368_spl
| h3(e12) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f473,f2720]) ).
fof(f2722,plain,
( sQ368_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f2637,f2721]) ).
fof(f2723,plain,
( sQ368_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2722]) ).
fof(f2724,plain,
sQ368_spl,
inference(contradiction_clause,[status(thm)],[f2723]) ).
fof(f2729,plain,
( sQ352_spl
| h3(op1(e14,e14)) != op2(e23,h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f2644,f1900]) ).
fof(f2730,plain,
( sQ352_spl
| h3(op1(e14,e14)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2644,f2729]) ).
fof(f2731,plain,
( sQ352_spl
| h3(op1(e14,e14)) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f2637,f2730]) ).
fof(f2742,plain,
( sQ340_spl
| h3(e13) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2577,f1864]) ).
fof(f2743,plain,
( sQ340_spl
| h3(e13) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f2643,f2742]) ).
fof(f2744,plain,
( sQ340_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2743]) ).
fof(f2745,plain,
sQ340_spl,
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2750,plain,
( sQ335_spl
| h3(op1(e11,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f468,f1849]) ).
fof(f2751,plain,
( sQ334_spl
| h3(e14) != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f1846]) ).
fof(f2752,plain,
( sQ334_spl
| e23 != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2644,f2751]) ).
fof(f2753,plain,
( sQ334_spl
| e23 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f468,f2752]) ).
fof(f2754,plain,
( sQ334_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f468,f2753]) ).
fof(f2755,plain,
( sQ334_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2597,f2754]) ).
fof(f2756,plain,
( sQ334_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2755]) ).
fof(f2757,plain,
sQ334_spl,
inference(contradiction_clause,[status(thm)],[f2756]) ).
fof(f2761,plain,
( sQ318_spl
| h2(op1(e14,e14)) != op2(e24,h2(e14)) ),
inference(forward_demodulation,[status(thm)],[f2624,f1793]) ).
fof(f2762,plain,
( sQ318_spl
| h2(op1(e14,e14)) != op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f2624,f2761]) ).
fof(f2763,plain,
( sQ318_spl
| h2(op1(e14,e14)) != h5(e14) ),
inference(forward_demodulation,[status(thm)],[f482,f2762]) ).
fof(f2764,plain,
( sQ317_spl
| h2(op1(e14,e13)) != op2(e24,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2624,f1790]) ).
fof(f2765,plain,
( sQ317_spl
| h2(op1(e14,e13)) != op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f2623,f2764]) ).
fof(f2766,plain,
( sQ316_spl
| h2(op1(e14,e12)) != op2(e24,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2624,f1787]) ).
fof(f2767,plain,
( sQ316_spl
| h2(op1(e14,e12)) != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f2620,f2766]) ).
fof(f2768,plain,
( sQ315_spl
| h2(op1(e14,e11)) != op2(e24,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2624,f1784]) ).
fof(f2769,plain,
( sQ315_spl
| h2(op1(e14,e11)) != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f2768]) ).
fof(f2770,plain,
( sQ314_spl
| h2(op1(e14,e10)) != op2(e24,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2624,f1781]) ).
fof(f2771,plain,
( sQ314_spl
| h2(op1(e14,e10)) != op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f2619,f2770]) ).
fof(f2772,plain,
( sQ313_spl
| h2(op1(e13,e14)) != op2(e23,h2(e14)) ),
inference(forward_demodulation,[status(thm)],[f2623,f1778]) ).
fof(f2773,plain,
( sQ313_spl
| h2(op1(e13,e14)) != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f2624,f2772]) ).
fof(f2774,plain,
( sQ312_spl
| h2(op1(e13,e13)) != op2(e23,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2623,f1775]) ).
fof(f2775,plain,
( sQ312_spl
| h2(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2623,f2774]) ).
fof(f2776,plain,
( sQ312_spl
| h2(op1(e13,e13)) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f2637,f2775]) ).
fof(f2777,plain,
( sQ311_spl
| h2(op1(e13,e12)) != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2623,f1772]) ).
fof(f2778,plain,
( sQ311_spl
| h2(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2620,f2777]) ).
fof(f2779,plain,
( sQ310_spl
| h2(op1(e13,e11)) != op2(e23,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2623,f1769]) ).
fof(f2780,plain,
( sQ310_spl
| h2(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f2779]) ).
fof(f2781,plain,
( sQ309_spl
| h2(op1(e13,e10)) != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2623,f1766]) ).
fof(f2782,plain,
( sQ309_spl
| h2(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2619,f2781]) ).
fof(f2783,plain,
( sQ308_spl
| h2(op1(e12,e14)) != op2(e22,h2(e14)) ),
inference(forward_demodulation,[status(thm)],[f2620,f1763]) ).
fof(f2784,plain,
( sQ308_spl
| h2(op1(e12,e14)) != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f2624,f2783]) ).
fof(f2785,plain,
( sQ307_spl
| h2(op1(e12,e13)) != op2(e22,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2620,f1760]) ).
fof(f2786,plain,
( sQ307_spl
| h2(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2623,f2785]) ).
fof(f2787,plain,
( sQ306_spl
| h2(e13) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2577,f1757]) ).
fof(f2788,plain,
( sQ306_spl
| e23 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2623,f2787]) ).
fof(f2789,plain,
( sQ306_spl
| e23 != op2(e22,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2620,f2788]) ).
fof(f2790,plain,
( sQ306_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2620,f2789]) ).
fof(f2791,plain,
( sQ306_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2597,f2790]) ).
fof(f2792,plain,
( sQ306_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2791]) ).
fof(f2793,plain,
sQ306_spl,
inference(contradiction_clause,[status(thm)],[f2792]) ).
fof(f2794,plain,
( sQ305_spl
| h2(op1(e12,e11)) != op2(e22,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2620,f1754]) ).
fof(f2795,plain,
( sQ305_spl
| h2(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f2794]) ).
fof(f2796,plain,
( sQ304_spl
| h2(op1(e12,e10)) != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2620,f1751]) ).
fof(f2797,plain,
( sQ304_spl
| h2(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2619,f2796]) ).
fof(f2798,plain,
( sQ303_spl
| h2(op1(e11,e14)) != op2(e21,h2(e14)) ),
inference(forward_demodulation,[status(thm)],[f463,f1748]) ).
fof(f2799,plain,
( sQ303_spl
| h2(op1(e11,e14)) != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f2624,f2798]) ).
fof(f2800,plain,
( sQ302_spl
| h2(op1(e11,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f463,f1745]) ).
fof(f2801,plain,
( sQ302_spl
| h2(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2623,f2800]) ).
fof(f2802,plain,
( sQ301_spl
| h2(op1(e11,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f463,f1742]) ).
fof(f2803,plain,
( sQ301_spl
| h2(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2620,f2802]) ).
fof(f2804,plain,
( sQ300_spl
| h2(e14) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f1739]) ).
fof(f2805,plain,
( sQ300_spl
| e24 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2624,f2804]) ).
fof(f2806,plain,
( sQ300_spl
| e24 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f463,f2805]) ).
fof(f2807,plain,
( sQ300_spl
| e24 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f2806]) ).
fof(f2808,plain,
( sQ300_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f457,f2807]) ).
fof(f2809,plain,
( sQ300_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2808]) ).
fof(f2810,plain,
sQ300_spl,
inference(contradiction_clause,[status(thm)],[f2809]) ).
fof(f2811,plain,
( sQ299_spl
| h2(op1(e11,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f463,f1736]) ).
fof(f2812,plain,
( sQ299_spl
| h2(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2619,f2811]) ).
fof(f2813,plain,
( sQ298_spl
| h2(op1(e10,e14)) != op2(e20,h2(e14)) ),
inference(forward_demodulation,[status(thm)],[f2619,f1733]) ).
fof(f2814,plain,
( sQ298_spl
| h2(op1(e10,e14)) != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f2624,f2813]) ).
fof(f2815,plain,
( sQ297_spl
| h2(op1(e10,e13)) != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2619,f1730]) ).
fof(f2816,plain,
( sQ297_spl
| h2(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2623,f2815]) ).
fof(f2817,plain,
( sQ296_spl
| h2(op1(e10,e12)) != op2(e20,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2619,f1727]) ).
fof(f2818,plain,
( sQ296_spl
| h2(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2620,f2817]) ).
fof(f2819,plain,
( sQ295_spl
| h2(op1(e10,e11)) != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2619,f1724]) ).
fof(f2820,plain,
( sQ295_spl
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f2819]) ).
fof(f2821,plain,
( sQ294_spl
| h2(op1(e10,e10)) != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2619,f1721]) ).
fof(f2822,plain,
( sQ294_spl
| h2(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2619,f2821]) ).
fof(f2823,plain,
( sQ294_spl
| h2(op1(e10,e10)) != h1(e14) ),
inference(forward_demodulation,[status(thm)],[f462,f2822]) ).
fof(f2826,plain,
( sQ272_spl
| h1(e13) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f2577,f1650]) ).
fof(f2827,plain,
( sQ272_spl
| h1(e13) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f2609,f2826]) ).
fof(f2828,plain,
( sQ272_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2827]) ).
fof(f2829,plain,
sQ272_spl,
inference(contradiction_clause,[status(thm)],[f2828]) ).
fof(f2833,plain,
( sQ267_spl
| h1(op1(e11,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f458,f1635]) ).
fof(f2834,plain,
( sQ266_spl
| h1(e14) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f1632]) ).
fof(f2835,plain,
( sQ266_spl
| h1(e14) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f458,f2834]) ).
fof(f2836,plain,
( sQ266_spl
| h1(e14) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f458,f2835]) ).
fof(f2837,plain,
( sQ266_spl
| h1(e14) != h1(e14) ),
inference(forward_demodulation,[status(thm)],[f462,f2836]) ).
fof(f2838,plain,
( sQ266_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2837]) ).
fof(f2839,plain,
sQ266_spl,
inference(contradiction_clause,[status(thm)],[f2838]) ).
fof(f2853,plain,
( ~ sQ254_spl
| h5(e14) = e24 ),
inference(forward_demodulation,[status(thm)],[f482,f1533]) ).
fof(f2876,plain,
( ~ sQ194_spl
| e23 = e24 ),
inference(forward_demodulation,[status(thm)],[f2597,f1341]) ).
fof(f2877,plain,
( ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f414]) ).
fof(f2878,plain,
~ sQ194_spl,
inference(contradiction_clause,[status(thm)],[f2877]) ).
fof(f2891,plain,
( ~ sQ163_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f457,f1242]) ).
fof(f2892,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2891,f414]) ).
fof(f2893,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2894,plain,
( ~ sQ252_spl
| ~ sQ253_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1530,f1527]) ).
fof(f2895,plain,
( ~ sQ252_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2894,f412]) ).
fof(f2896,plain,
( ~ sQ252_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2900,plain,
( ~ sQ192_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2597,f1335]) ).
fof(f2901,plain,
( ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2900,f412]) ).
fof(f2902,plain,
~ sQ192_spl,
inference(contradiction_clause,[status(thm)],[f2901]) ).
fof(f2903,plain,
( ~ sQ162_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f457,f1239]) ).
fof(f2904,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2903,f413]) ).
fof(f2905,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f2904]) ).
fof(f2909,plain,
( ~ sQ191_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2597,f1332]) ).
fof(f2910,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2909,f410]) ).
fof(f2911,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2910]) ).
fof(f2912,plain,
( ~ sQ161_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f457,f1236]) ).
fof(f2913,plain,
( ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2912,f411]) ).
fof(f2914,plain,
~ sQ161_spl,
inference(contradiction_clause,[status(thm)],[f2913]) ).
fof(f2918,plain,
( ~ sQ220_spl
| ~ sQ221_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1428,f1425]) ).
fof(f2919,plain,
( ~ sQ220_spl
| ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2918,f405]) ).
fof(f2920,plain,
( ~ sQ220_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f2919]) ).
fof(f2921,plain,
( ~ sQ190_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2597,f1329]) ).
fof(f2922,plain,
( ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2921,f407]) ).
fof(f2923,plain,
~ sQ190_spl,
inference(contradiction_clause,[status(thm)],[f2922]) ).
fof(f2924,plain,
( ~ sQ160_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f457,f1233]) ).
fof(f2925,plain,
( ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2924,f408]) ).
fof(f2926,plain,
~ sQ160_spl,
inference(contradiction_clause,[status(thm)],[f2925]) ).
fof(f2927,plain,
( ~ sQ130_spl
| ~ sQ131_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1140,f1137]) ).
fof(f2928,plain,
( ~ sQ130_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2927,f405]) ).
fof(f2929,plain,
( ~ sQ130_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2928]) ).
fof(f2951,plain,
( ~ sQ64_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f2577,f875]) ).
fof(f2952,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2951,f404]) ).
fof(f2953,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2962,plain,
( ~ sQ4_spl
| e14 != op1(e14,e10) ),
inference(backward_demodulation,[status(thm)],[f683,f198]) ).
fof(f2972,plain,
( ~ sQ33_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f453,f776]) ).
fof(f2973,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2972,f404]) ).
fof(f2974,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f2973]) ).
fof(f2978,plain,
( ~ sQ62_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f2577,f869]) ).
fof(f2979,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f402]) ).
fof(f2980,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2981,plain,
( ~ sQ32_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f453,f773]) ).
fof(f2982,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2981,f403]) ).
fof(f2983,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f2982]) ).
fof(f2987,plain,
( ~ sQ91_spl
| ~ sQ92_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f965,f962]) ).
fof(f2988,plain,
( ~ sQ91_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2987,f399]) ).
fof(f2989,plain,
( ~ sQ91_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2988]) ).
fof(f2990,plain,
( ~ sQ61_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f2577,f866]) ).
fof(f2991,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2990,f400]) ).
fof(f2992,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f2991]) ).
fof(f2993,plain,
( ~ sQ31_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f453,f770]) ).
fof(f2994,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2993,f401]) ).
fof(f2995,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f2994]) ).
fof(f2999,plain,
( ~ sQ60_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f2577,f863]) ).
fof(f3000,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2999,f397]) ).
fof(f3001,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f3000]) ).
fof(f3002,plain,
( ~ sQ30_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f453,f767]) ).
fof(f3003,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3002,f398]) ).
fof(f3004,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f3003]) ).
fof(f3017,plain,
( ~ sQ204_spl
| op2(e20,e24) != e24 ),
inference(backward_demodulation,[status(thm)],[f1373,f336]) ).
fof(f3025,plain,
( ~ sQ154_spl
| op2(e20,e22) != e24 ),
inference(backward_demodulation,[status(thm)],[f1213,f353]) ).
fof(f3045,plain,
( sQ314_spl
| ~ sQ234_spl
| h2(op1(e14,e10)) != e24 ),
inference(backward_demodulation,[status(thm)],[f1469,f2771]) ).
fof(f3047,plain,
( ~ sQ234_spl
| op2(e22,e20) != e24 ),
inference(backward_demodulation,[status(thm)],[f1469,f303]) ).
fof(f3070,plain,
( ~ sQ233_spl
| ~ sQ234_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f1469,f1466]) ).
fof(f3071,plain,
( ~ sQ233_spl
| ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3070,f414]) ).
fof(f3072,plain,
( ~ sQ233_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f3071]) ).
fof(f3184,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1175,f1172]) ).
fof(f3185,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3184,f409]) ).
fof(f3186,plain,
( ~ sQ141_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f3185]) ).
fof(f3204,plain,
( ~ sQ156_spl
| ~ sQ157_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1223,f1220]) ).
fof(f3205,plain,
( ~ sQ156_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3204,f409]) ).
fof(f3206,plain,
( ~ sQ156_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f3205]) ).
fof(f3218,plain,
( ~ sQ74_spl
| op1(e10,e14) != e14 ),
inference(backward_demodulation,[status(thm)],[f907,f236]) ).
fof(f3235,plain,
( ~ sQ114_spl
| op1(e14,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f1035,f286]) ).
fof(f3253,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f827,f824]) ).
fof(f3254,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3253,f404]) ).
fof(f3255,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3254]) ).
fof(f3256,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f747,f744]) ).
fof(f3257,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3256,f404]) ).
fof(f3258,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3268,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f1003,f1000]) ).
fof(f3269,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3268,f404]) ).
fof(f3270,plain,
( ~ sQ103_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f3269]) ).
fof(f3299,plain,
( ~ sQ69_spl
| op1(e12,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f891,f267]) ).
fof(f3341,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f731,f728]) ).
fof(f3342,plain,
( ~ sQ18_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3341,f404]) ).
fof(f3343,plain,
( ~ sQ18_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3342]) ).
fof(f3344,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f955,f952]) ).
fof(f3345,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3344,f404]) ).
fof(f3346,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3350,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f923,f920]) ).
fof(f3351,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3350,f404]) ).
fof(f3352,plain,
( ~ sQ78_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3351]) ).
fof(f3356,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f805,f802]) ).
fof(f3357,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3356,f399]) ).
fof(f3358,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3357]) ).
fof(f3365,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f933,f930]) ).
fof(f3366,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3365,f399]) ).
fof(f3367,plain,
( ~ sQ81_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3404,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f709,f706]) ).
fof(f3405,plain,
( ~ sQ11_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3404,f399]) ).
fof(f3406,plain,
( ~ sQ11_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3405]) ).
fof(f3427,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f693,f690]) ).
fof(f3428,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3427,f399]) ).
fof(f3429,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3428]) ).
fof(f3430,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f757,f754]) ).
fof(f3431,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3430,f399]) ).
fof(f3432,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3431]) ).
fof(f3433,plain,
( sQ429_spl
| ~ sQ254_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f2853,f2145]) ).
fof(f3434,plain,
( sQ429_spl
| ~ sQ254_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3433]) ).
fof(f3435,plain,
( sQ429_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f3434]) ).
fof(f3436,plain,
( sQ426_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f478,f2133]) ).
fof(f3437,plain,
( sQ426_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3436]) ).
fof(f3438,plain,
sQ426_spl,
inference(contradiction_clause,[status(thm)],[f3437]) ).
fof(f3446,plain,
( sQ327_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f2624,f1824]) ).
fof(f3447,plain,
( sQ327_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3446]) ).
fof(f3448,plain,
sQ327_spl,
inference(contradiction_clause,[status(thm)],[f3447]) ).
fof(f3457,plain,
( ~ sQ259_spl
| op2(e24,e24) = e24 ),
inference(backward_demodulation,[status(thm)],[f1549,f143]) ).
fof(f3473,plain,
( ~ sQ129_spl
| op1(e14,e14) = e14 ),
inference(backward_demodulation,[status(thm)],[f1083,f57]) ).
fof(f3492,plain,
( ~ sQ526_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f478,f2551]) ).
fof(f3493,plain,
( ~ sQ526_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3492,f414]) ).
fof(f3494,plain,
~ sQ526_spl,
inference(contradiction_clause,[status(thm)],[f3493]) ).
fof(f3496,plain,
( ~ sQ524_spl
| ~ sQ529_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2563,f2542]) ).
fof(f3497,plain,
( ~ sQ524_spl
| ~ sQ529_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3496,f412]) ).
fof(f3498,plain,
( ~ sQ524_spl
| ~ sQ529_spl ),
inference(contradiction_clause,[status(thm)],[f3497]) ).
fof(f3502,plain,
( ~ sQ522_spl
| ~ sQ527_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f2534]) ).
fof(f3503,plain,
( ~ sQ522_spl
| ~ sQ527_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3502,f412]) ).
fof(f3504,plain,
( ~ sQ522_spl
| ~ sQ527_spl ),
inference(contradiction_clause,[status(thm)],[f3503]) ).
fof(f3505,plain,
( ~ sQ521_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f478,f2530]) ).
fof(f3506,plain,
( ~ sQ521_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3505,f413]) ).
fof(f3507,plain,
~ sQ521_spl,
inference(contradiction_clause,[status(thm)],[f3506]) ).
fof(f3511,plain,
( ~ sQ516_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f478,f2509]) ).
fof(f3512,plain,
( ~ sQ516_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3511,f411]) ).
fof(f3513,plain,
~ sQ516_spl,
inference(contradiction_clause,[status(thm)],[f3512]) ).
fof(f3523,plain,
( ~ sQ511_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f478,f2488]) ).
fof(f3524,plain,
( ~ sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3523,f408]) ).
fof(f3525,plain,
~ sQ511_spl,
inference(contradiction_clause,[status(thm)],[f3524]) ).
fof(f3543,plain,
( ~ sQ501_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f473,f2446]) ).
fof(f3544,plain,
( ~ sQ501_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3543,f412]) ).
fof(f3545,plain,
~ sQ501_spl,
inference(contradiction_clause,[status(thm)],[f3544]) ).
fof(f3552,plain,
( ~ sQ496_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f473,f2425]) ).
fof(f3553,plain,
( ~ sQ496_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3552,f410]) ).
fof(f3554,plain,
~ sQ496_spl,
inference(contradiction_clause,[status(thm)],[f3553]) ).
fof(f3561,plain,
( ~ sQ491_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f473,f2404]) ).
fof(f3562,plain,
( ~ sQ491_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3561,f407]) ).
fof(f3563,plain,
~ sQ491_spl,
inference(contradiction_clause,[status(thm)],[f3562]) ).
fof(f3567,plain,
( ~ sQ486_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f468,f2383]) ).
fof(f3568,plain,
( ~ sQ486_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3567,f412]) ).
fof(f3569,plain,
~ sQ486_spl,
inference(contradiction_clause,[status(thm)],[f3568]) ).
fof(f3571,plain,
( ~ sQ484_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2644,f2374]) ).
fof(f3572,plain,
( ~ sQ484_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3571,f412]) ).
fof(f3573,plain,
~ sQ484_spl,
inference(contradiction_clause,[status(thm)],[f3572]) ).
fof(f3583,plain,
( ~ sQ479_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2644,f2353]) ).
fof(f3584,plain,
( ~ sQ479_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3583,f410]) ).
fof(f3585,plain,
~ sQ479_spl,
inference(contradiction_clause,[status(thm)],[f3584]) ).
fof(f3586,plain,
( ~ sQ476_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f468,f2341]) ).
fof(f3587,plain,
( ~ sQ476_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3586,f409]) ).
fof(f3588,plain,
~ sQ476_spl,
inference(contradiction_clause,[status(thm)],[f3587]) ).
fof(f3589,plain,
( ~ sQ474_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2644,f2332]) ).
fof(f3590,plain,
( ~ sQ474_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3589,f407]) ).
fof(f3591,plain,
~ sQ474_spl,
inference(contradiction_clause,[status(thm)],[f3590]) ).
fof(f3598,plain,
( ~ sQ471_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f468,f2320]) ).
fof(f3599,plain,
( ~ sQ471_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3598,f406]) ).
fof(f3600,plain,
~ sQ471_spl,
inference(contradiction_clause,[status(thm)],[f3599]) ).
fof(f3604,plain,
( ~ sQ469_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f2624,f2311]) ).
fof(f3605,plain,
( ~ sQ469_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f414]) ).
fof(f3606,plain,
~ sQ469_spl,
inference(contradiction_clause,[status(thm)],[f3605]) ).
fof(f3607,plain,
( ~ sQ467_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2620,f2303]) ).
fof(f3608,plain,
( ~ sQ467_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3607,f412]) ).
fof(f3609,plain,
~ sQ467_spl,
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3610,plain,
( ~ sQ466_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f463,f2299]) ).
fof(f3611,plain,
( ~ sQ466_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3610,f410]) ).
fof(f3612,plain,
~ sQ466_spl,
inference(contradiction_clause,[status(thm)],[f3611]) ).
fof(f3613,plain,
( ~ sQ465_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2619,f2295]) ).
fof(f3614,plain,
( ~ sQ465_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3613,f407]) ).
fof(f3615,plain,
~ sQ465_spl,
inference(contradiction_clause,[status(thm)],[f3614]) ).
fof(f3616,plain,
( ~ sQ464_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f2624,f2290]) ).
fof(f3617,plain,
( ~ sQ464_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3616,f413]) ).
fof(f3618,plain,
~ sQ464_spl,
inference(contradiction_clause,[status(thm)],[f3617]) ).
fof(f3619,plain,
( ~ sQ463_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2623,f2286]) ).
fof(f3620,plain,
( ~ sQ463_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3619,f412]) ).
fof(f3621,plain,
~ sQ463_spl,
inference(contradiction_clause,[status(thm)],[f3620]) ).
fof(f3622,plain,
( ~ sQ461_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f463,f2278]) ).
fof(f3623,plain,
( ~ sQ461_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3622,f409]) ).
fof(f3624,plain,
~ sQ461_spl,
inference(contradiction_clause,[status(thm)],[f3623]) ).
fof(f3625,plain,
( ~ sQ460_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2619,f2274]) ).
fof(f3626,plain,
( ~ sQ460_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3625,f406]) ).
fof(f3627,plain,
~ sQ460_spl,
inference(contradiction_clause,[status(thm)],[f3626]) ).
fof(f3628,plain,
( ~ sQ459_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f2624,f2269]) ).
fof(f3629,plain,
( ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3628,f411]) ).
fof(f3630,plain,
~ sQ459_spl,
inference(contradiction_clause,[status(thm)],[f3629]) ).
fof(f3631,plain,
( ~ sQ458_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2623,f2265]) ).
fof(f3632,plain,
( ~ sQ458_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3631,f410]) ).
fof(f3633,plain,
~ sQ458_spl,
inference(contradiction_clause,[status(thm)],[f3632]) ).
fof(f3634,plain,
( ~ sQ457_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2620,f2261]) ).
fof(f3635,plain,
( ~ sQ457_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3634,f409]) ).
fof(f3636,plain,
~ sQ457_spl,
inference(contradiction_clause,[status(thm)],[f3635]) ).
fof(f3637,plain,
( ~ sQ455_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2619,f2253]) ).
fof(f3638,plain,
( ~ sQ455_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3637,f405]) ).
fof(f3639,plain,
~ sQ455_spl,
inference(contradiction_clause,[status(thm)],[f3638]) ).
fof(f3640,plain,
( ~ sQ454_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f2624,f2248]) ).
fof(f3641,plain,
( ~ sQ454_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3640,f408]) ).
fof(f3642,plain,
~ sQ454_spl,
inference(contradiction_clause,[status(thm)],[f3641]) ).
fof(f3643,plain,
( ~ sQ453_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2623,f2244]) ).
fof(f3644,plain,
( ~ sQ453_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3643,f407]) ).
fof(f3645,plain,
~ sQ453_spl,
inference(contradiction_clause,[status(thm)],[f3644]) ).
fof(f3646,plain,
( ~ sQ452_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2620,f2240]) ).
fof(f3647,plain,
( ~ sQ452_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3646,f406]) ).
fof(f3648,plain,
~ sQ452_spl,
inference(contradiction_clause,[status(thm)],[f3647]) ).
fof(f3649,plain,
( ~ sQ451_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f463,f2236]) ).
fof(f3650,plain,
( ~ sQ451_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3649,f405]) ).
fof(f3651,plain,
~ sQ451_spl,
inference(contradiction_clause,[status(thm)],[f3650]) ).
fof(f3655,plain,
( ~ sQ446_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f458,f2215]) ).
fof(f3656,plain,
( ~ sQ446_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3655,f407]) ).
fof(f3657,plain,
~ sQ446_spl,
inference(contradiction_clause,[status(thm)],[f3656]) ).
fof(f3668,plain,
( ~ sQ441_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f458,f2194]) ).
fof(f3669,plain,
( ~ sQ441_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3668,f406]) ).
fof(f3670,plain,
~ sQ441_spl,
inference(contradiction_clause,[status(thm)],[f3669]) ).
fof(f3674,plain,
( ~ sQ436_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f458,f2173]) ).
fof(f3675,plain,
( ~ sQ436_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3674,f405]) ).
fof(f3676,plain,
~ sQ436_spl,
inference(contradiction_clause,[status(thm)],[f3675]) ).
fof(f3688,plain,
e12 = op1(e14,e14),
inference(forward_demodulation,[status(thm)],[f453,f2578]) ).
fof(f3689,plain,
( ~ sQ120_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1055,f3688]) ).
fof(f3690,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3689,f396]) ).
fof(f3691,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f3690]) ).
fof(f3708,plain,
e22 = op2(e24,e24),
inference(forward_demodulation,[status(thm)],[f457,f2598]) ).
fof(f3738,plain,
h5(e12) = op2(e22,h5(e14)),
inference(forward_demodulation,[status(thm)],[f3708,f2661]) ).
fof(f3747,plain,
( ~ sQ408_spl
| h5(e13) = op2(h5(e12),h5(e12)) ),
inference(forward_demodulation,[status(thm)],[f2577,f2077]) ).
fof(f3748,plain,
( ~ sQ402_spl
| h5(e14) = op2(h5(e11),h5(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f2059]) ).
fof(f3749,plain,
( ~ sQ402_spl
| h5(e14) = op2(e24,h5(e11)) ),
inference(forward_demodulation,[status(thm)],[f478,f3748]) ).
fof(f3750,plain,
( ~ sQ402_spl
| h5(e14) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f478,f3749]) ).
fof(f3752,plain,
( ~ sQ402_spl
| h5(e12) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f3753,f3738]) ).
fof(f3753,plain,
( ~ sQ402_spl
| h5(e14) = e22 ),
inference(forward_demodulation,[status(thm)],[f3708,f3750]) ).
fof(f3758,plain,
( ~ sQ368_spl
| h4(e14) = op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f1952]) ).
fof(f3759,plain,
( ~ sQ368_spl
| h4(e14) = op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f473,f3758]) ).
fof(f3760,plain,
( ~ sQ368_spl
| h4(e14) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f473,f3759]) ).
fof(f3776,plain,
( ~ sQ266_spl
| h1(e14) = op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f453,f1631]) ).
fof(f3777,plain,
( ~ sQ266_spl
| h1(e14) = op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f458,f3776]) ).
fof(f3778,plain,
( ~ sQ266_spl
| h1(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f458,f3777]) ).
fof(f3784,plain,
( ~ sQ368_spl
| ~ sQ222_spl
| e22 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3785,f3760]) ).
fof(f3785,plain,
( ~ sQ222_spl
| ~ sQ368_spl
| h4(e14) = e22 ),
inference(forward_demodulation,[status(thm)],[f3760,f1431]) ).
fof(f3799,plain,
( ~ sQ250_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3708,f1521]) ).
fof(f3800,plain,
( ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3799,f406]) ).
fof(f3801,plain,
~ sQ250_spl,
inference(contradiction_clause,[status(thm)],[f3800]) ).
fof(f3823,plain,
( ~ sQ90_spl
| e10 != op1(e13,e14) ),
inference(forward_demodulation,[status(thm)],[f959,f284]) ).
fof(f3824,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f975,f3823]) ).
fof(f3825,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3824]) ).
fof(f3826,plain,
( ~ sQ90_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3843,plain,
( ~ sQ0_spl
| e10 != op1(e10,e14) ),
inference(forward_demodulation,[status(thm)],[f671,f248]) ).
fof(f3844,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f735,f3843]) ).
fof(f3845,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3844]) ).
fof(f3846,plain,
( ~ sQ0_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3845]) ).
fof(f3847,plain,
( ~ sQ0_spl
| e10 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f671,f247]) ).
fof(f3848,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f719,f3847]) ).
fof(f3849,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3848]) ).
fof(f3850,plain,
( ~ sQ0_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3849]) ).
fof(f3887,plain,
( ~ sQ185_spl
| e20 != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f1313,f371]) ).
fof(f3897,plain,
( ~ sQ165_spl
| e20 != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f1249,f363]) ).
fof(f3927,plain,
( ~ sQ238_spl
| ~ sQ235_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1473,f1482]) ).
fof(f3928,plain,
( ~ sQ238_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3927,f407]) ).
fof(f3929,plain,
( ~ sQ238_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f3928]) ).
fof(f3981,plain,
( ~ sQ165_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1249,f362]) ).
fof(f4025,plain,
( sQ301_spl
| ~ sQ35_spl
| h2(e10) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f783,f2803]) ).
fof(f4026,plain,
( sQ301_spl
| ~ sQ35_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2619,f4025]) ).
fof(f4027,plain,
( sQ301_spl
| ~ sQ35_spl
| ~ sQ165_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1249,f4026]) ).
fof(f4028,plain,
( sQ301_spl
| ~ sQ35_spl
| ~ sQ165_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4027]) ).
fof(f4029,plain,
( sQ301_spl
| ~ sQ35_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f4028]) ).
fof(f4030,plain,
( ~ sQ155_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1217,f356]) ).
fof(f4031,plain,
( ~ sQ140_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1169,f315]) ).
fof(f4046,plain,
( sQ305_spl
| ~ sQ55_spl
| h2(e10) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f847,f2795]) ).
fof(f4047,plain,
( sQ305_spl
| ~ sQ55_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2619,f4046]) ).
fof(f4063,plain,
( ~ sQ217_spl
| ~ sQ219_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f1421,f1415]) ).
fof(f4064,plain,
( ~ sQ217_spl
| ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4063,f413]) ).
fof(f4065,plain,
( ~ sQ217_spl
| ~ sQ219_spl ),
inference(contradiction_clause,[status(thm)],[f4064]) ).
fof(f4095,plain,
( ~ sQ55_spl
| e10 != op1(e12,e14) ),
inference(forward_demodulation,[status(thm)],[f847,f271]) ).
fof(f4098,plain,
( ~ sQ48_spl
| ~ sQ45_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f815,f824]) ).
fof(f4099,plain,
( ~ sQ48_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4098,f397]) ).
fof(f4100,plain,
( ~ sQ48_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f4099]) ).
fof(f4133,plain,
( ~ sQ35_spl
| e10 != op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f783,f221]) ).
fof(f4134,plain,
( ~ sQ108_spl
| ~ sQ105_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1007,f1016]) ).
fof(f4135,plain,
( ~ sQ108_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4134,f397]) ).
fof(f4136,plain,
( ~ sQ108_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4135]) ).
fof(f4162,plain,
( ~ sQ106_spl
| op1(e10,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1010,f208]) ).
fof(f4173,plain,
( ~ sQ55_spl
| e10 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f847,f270]) ).
fof(f4174,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f879,f4173]) ).
fof(f4175,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4174]) ).
fof(f4176,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f4175]) ).
fof(f4187,plain,
( ~ sQ35_spl
| e10 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f783,f262]) ).
fof(f4206,plain,
( ~ sQ35_spl
| e10 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f783,f220]) ).
fof(f4213,plain,
( ~ sQ78_spl
| ~ sQ75_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f911,f920]) ).
fof(f4214,plain,
( ~ sQ78_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4213,f397]) ).
fof(f4215,plain,
( ~ sQ78_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4214]) ).
fof(f4220,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f728,f722]) ).
fof(f4221,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4220,f400]) ).
fof(f4222,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4221]) ).
fof(f4233,plain,
( sQ369_spl
| ~ sQ35_spl
| h4(e10) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f783,f2717]) ).
fof(f4234,plain,
( sQ369_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4233]) ).
fof(f4235,plain,
( sQ369_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4234]) ).
fof(f4236,plain,
( sQ403_spl
| ~ sQ35_spl
| h5(e10) != op2(e24,h5(e12)) ),
inference(forward_demodulation,[status(thm)],[f783,f2679]) ).
fof(f4237,plain,
( sQ403_spl
| ~ sQ35_spl
| h5(e10) != h5(e10) ),
inference(forward_demodulation,[status(thm)],[f2658,f4236]) ).
fof(f4238,plain,
( sQ403_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4237]) ).
fof(f4239,plain,
( sQ403_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4238]) ).
fof(f4240,plain,
( ~ sQ25_spl
| e10 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f751,f256]) ).
fof(f4241,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f783,f4240]) ).
fof(f4242,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4241]) ).
fof(f4243,plain,
( ~ sQ25_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4242]) ).
fof(f4252,plain,
( ~ sQ4_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2962,f1002,f682]) ).
fof(f4320,plain,
( ~ sQ26_spl
| ~ sQ28_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f760,f754]) ).
fof(f4321,plain,
( ~ sQ26_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4320,f400]) ).
fof(f4322,plain,
( ~ sQ26_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4321]) ).
fof(f4323,plain,
( sQ318_spl
| ~ sQ402_spl
| h2(op1(e14,e14)) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2763]) ).
fof(f4340,plain,
( sQ420_spl
| ~ sQ402_spl
| h5(op1(e14,e14)) != op2(e22,h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f3753,f2114]) ).
fof(f4341,plain,
( sQ420_spl
| ~ sQ402_spl
| h5(op1(e14,e14)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3753,f4340]) ).
fof(f4342,plain,
( sQ420_spl
| ~ sQ402_spl
| h5(op1(e14,e14)) != e23 ),
inference(forward_demodulation,[status(thm)],[f2597,f4341]) ).
fof(f4345,plain,
( ~ sQ429_spl
| ~ sQ402_spl
| e22 = e24 ),
inference(forward_demodulation,[status(thm)],[f3753,f2144]) ).
fof(f4346,plain,
( ~ sQ429_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4345,f413]) ).
fof(f4347,plain,
( ~ sQ429_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f4346]) ).
fof(f4348,plain,
( sQ335_spl
| h3(op1(e11,e12)) != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f2628,f2750]) ).
fof(f4381,plain,
( ~ sQ221_spl
| h3(e10) = op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f4382,f2628]) ).
fof(f4382,plain,
( ~ sQ221_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1428,f2637]) ).
fof(f4410,plain,
( ~ sQ255_spl
| op2(e24,e20) = e24 ),
inference(forward_demodulation,[status(thm)],[f1537,f143]) ).
fof(f4414,plain,
( ~ sQ255_spl
| op2(e20,e24) = e24 ),
inference(forward_demodulation,[status(thm)],[f1537,f142]) ).
fof(f4415,plain,
( ~ sQ255_spl
| ~ sQ151_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f1204,f4414]) ).
fof(f4416,plain,
( ~ sQ255_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4415,f411]) ).
fof(f4417,plain,
( ~ sQ255_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f4416]) ).
fof(f4418,plain,
( ~ sQ258_spl
| op2(e23,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f1546,f134]) ).
fof(f4424,plain,
( ~ sQ258_spl
| op2(e23,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1546,f140]) ).
fof(f4430,plain,
( ~ sQ125_spl
| op1(e14,e10) = e14 ),
inference(forward_demodulation,[status(thm)],[f1071,f57]) ).
fof(f4431,plain,
( ~ sQ125_spl
| ~ sQ101_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f994,f4430]) ).
fof(f4432,plain,
( ~ sQ125_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4431,f401]) ).
fof(f4433,plain,
( ~ sQ125_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f4432]) ).
fof(f4435,plain,
( ~ sQ125_spl
| op1(e10,e14) = e14 ),
inference(forward_demodulation,[status(thm)],[f1071,f56]) ).
fof(f4436,plain,
( ~ sQ125_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1071,f55]) ).
fof(f4438,plain,
( ~ sQ125_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f1071,f54]) ).
fof(f4439,plain,
( ~ sQ125_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1071,f53]) ).
fof(f4440,plain,
( ~ sQ125_spl
| ~ sQ51_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f834,f4439]) ).
fof(f4441,plain,
( ~ sQ125_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4440,f399]) ).
fof(f4442,plain,
( ~ sQ125_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4441]) ).
fof(f4443,plain,
( ~ sQ128_spl
| op1(e13,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f1080,f48]) ).
fof(f4444,plain,
( ~ sQ128_spl
| op1(e10,e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f1080,f49]) ).
fof(f4453,plain,
( sQ524_spl
| ~ sQ402_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2543]) ).
fof(f4454,plain,
( sQ524_spl
| ~ sQ402_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4453]) ).
fof(f4455,plain,
( sQ524_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f4454]) ).
fof(f4513,plain,
( sQ468_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2623,f2308]) ).
fof(f4514,plain,
( sQ468_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4513]) ).
fof(f4515,plain,
sQ468_spl,
inference(contradiction_clause,[status(thm)],[f4514]) ).
fof(f4520,plain,
( sQ462_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2620,f2283]) ).
fof(f4521,plain,
( sQ462_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4520]) ).
fof(f4522,plain,
sQ462_spl,
inference(contradiction_clause,[status(thm)],[f4521]) ).
fof(f4527,plain,
( sQ456_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f463,f2258]) ).
fof(f4528,plain,
( sQ456_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4527]) ).
fof(f4529,plain,
sQ456_spl,
inference(contradiction_clause,[status(thm)],[f4528]) ).
fof(f4534,plain,
( sQ450_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2619,f2233]) ).
fof(f4535,plain,
( sQ450_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4534]) ).
fof(f4536,plain,
sQ450_spl,
inference(contradiction_clause,[status(thm)],[f4535]) ).
fof(f4553,plain,
( sQ420_spl
| ~ sQ402_spl
| h5(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f3688,f4342]) ).
fof(f4554,plain,
( sQ318_spl
| ~ sQ402_spl
| h2(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f3688,f4323]) ).
fof(f4556,plain,
( ~ sQ402_spl
| ~ sQ512_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2492,f3752]) ).
fof(f4557,plain,
( ~ sQ402_spl
| ~ sQ512_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2597,f4556]) ).
fof(f4558,plain,
( ~ sQ402_spl
| ~ sQ512_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4557,f407]) ).
fof(f4559,plain,
( ~ sQ402_spl
| ~ sQ512_spl ),
inference(contradiction_clause,[status(thm)],[f4558]) ).
fof(f4560,plain,
( ~ sQ251_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3708,f1524]) ).
fof(f4561,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4560,f409]) ).
fof(f4562,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f4561]) ).
fof(f4572,plain,
op1(e13,e14) != e12,
inference(forward_demodulation,[status(thm)],[f3688,f244]) ).
fof(f4581,plain,
( ~ sQ402_spl
| op2(e23,e24) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2666]) ).
fof(f4597,plain,
( ~ sQ402_spl
| op2(e20,e24) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2669]) ).
fof(f4602,plain,
( ~ sQ402_spl
| op2(e24,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2662]) ).
fof(f4618,plain,
( ~ sQ402_spl
| op2(e24,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2665]) ).
fof(f4641,plain,
( ~ sQ146_spl
| e21 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f1188,f2636]) ).
fof(f4642,plain,
( ~ sQ146_spl
| ~ sQ477_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2345,f4641]) ).
fof(f4643,plain,
( ~ sQ146_spl
| ~ sQ477_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4642]) ).
fof(f4644,plain,
( ~ sQ146_spl
| ~ sQ477_spl ),
inference(contradiction_clause,[status(thm)],[f4643]) ).
fof(f4669,plain,
( ~ sQ226_spl
| ~ sQ225_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1441,f1444]) ).
fof(f4670,plain,
( ~ sQ226_spl
| ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4669,f405]) ).
fof(f4671,plain,
( ~ sQ226_spl
| ~ sQ225_spl ),
inference(contradiction_clause,[status(thm)],[f4670]) ).
fof(f4673,plain,
( ~ sQ240_spl
| op2(e21,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f1489,f321]) ).
fof(f4675,plain,
( ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2587,f4673]) ).
fof(f4676,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f4675]) ).
fof(f4694,plain,
( ~ sQ368_spl
| ~ sQ222_spl
| e22 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f4695,f3760]) ).
fof(f4695,plain,
( ~ sQ368_spl
| ~ sQ222_spl
| e22 = h4(e14) ),
inference(forward_demodulation,[status(thm)],[f3760,f3784]) ).
fof(f4749,plain,
( sQ295_spl
| ~ sQ6_spl
| h2(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f690,f2820]) ).
fof(f4750,plain,
( sQ295_spl
| ~ sQ6_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f4749]) ).
fof(f4781,plain,
( ~ sQ165_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f3897,f1280,f1248]) ).
fof(f4784,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f690,f687]) ).
fof(f4785,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4784,f395]) ).
fof(f4786,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4785]) ).
fof(f4788,plain,
op1(e14,e13) != e12,
inference(forward_demodulation,[status(thm)],[f3688,f294]) ).
fof(f4790,plain,
op1(e14,e12) != e12,
inference(forward_demodulation,[status(thm)],[f3688,f293]) ).
fof(f4803,plain,
op1(e14,e10) != e12,
inference(forward_demodulation,[status(thm)],[f3688,f288]) ).
fof(f4804,plain,
( sQ386_spl
| h4(e12) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f3688,f2690]) ).
fof(f4807,plain,
( ~ sQ121_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f3688,f1058]) ).
fof(f4808,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4807,f399]) ).
fof(f4809,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f4808]) ).
fof(f4811,plain,
( ~ sQ116_spl
| op1(e14,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f1042,f292]) ).
fof(f4815,plain,
( ~ sQ71_spl
| op1(e10,e14) != e11 ),
inference(forward_demodulation,[status(thm)],[f898,f236]) ).
fof(f4842,plain,
( ~ sQ68_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f888,f2570]) ).
fof(f4843,plain,
( ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4842]) ).
fof(f4844,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f4843]) ).
fof(f4870,plain,
( ~ sQ403_spl
| h5(op1(e11,e12)) = op2(e24,h5(e12)) ),
inference(forward_demodulation,[status(thm)],[f478,f2062]) ).
fof(f4893,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f981,f4572]) ).
fof(f4894,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f4893]) ).
fof(f4903,plain,
( sQ267_spl
| h1(e10) != op2(e20,h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f2567,f2833]) ).
fof(f4906,plain,
( ~ sQ403_spl
| h5(e10) = op2(e24,h5(e12)) ),
inference(backward_demodulation,[status(thm)],[f2567,f4870]) ).
fof(f4908,plain,
( sQ35_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f2567,f784]) ).
fof(f4909,plain,
( sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4908]) ).
fof(f4910,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f4909]) ).
fof(f4923,plain,
( ~ sQ10_spl
| e10 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f703,f215]) ).
fof(f4924,plain,
( ~ sQ10_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f2567,f4923]) ).
fof(f4925,plain,
( ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4924]) ).
fof(f4926,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f4925]) ).
fof(f4957,plain,
( ~ sQ38_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f2567,f792]) ).
fof(f4958,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4957,f397]) ).
fof(f4959,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f4958]) ).
fof(f4974,plain,
( sQ284_spl
| h1(e12) != op2(h1(e14),h1(e14)) ),
inference(forward_demodulation,[status(thm)],[f3688,f1686]) ).
fof(f4997,plain,
( ~ sQ257_spl
| op2(e22,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f1543,f139]) ).
fof(f5006,plain,
( ~ sQ259_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3457,f1532,f1548]) ).
fof(f5029,plain,
( ~ sQ127_spl
| op1(e12,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f1077,f52]) ).
fof(f5040,plain,
( ~ sQ129_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3473,f1066,f1082]) ).
fof(f5067,plain,
( sQ386_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2650,f4804]) ).
fof(f5068,plain,
sQ386_spl,
inference(contradiction_clause,[status(thm)],[f5067]) ).
fof(f5124,plain,
( sQ420_spl
| ~ sQ402_spl
| ~ sQ527_spl ),
inference(split_clause,[status(thm)],[f4553,f2554,f2058,f2112]) ).
fof(f5125,plain,
( sQ318_spl
| ~ sQ402_spl
| ~ sQ462_spl ),
inference(split_clause,[status(thm)],[f4554,f2281,f2058,f1791]) ).
fof(f5133,plain,
( ~ sQ408_spl
| ~ sQ527_spl
| h5(e13) = op2(e23,h5(e12)) ),
inference(forward_demodulation,[status(thm)],[f2555,f3747]) ).
fof(f5134,plain,
( ~ sQ408_spl
| ~ sQ527_spl
| h5(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2555,f5133]) ).
fof(f5155,plain,
( ~ sQ402_spl
| op2(e22,e24) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2667]) ).
fof(f5160,plain,
( ~ sQ402_spl
| op2(e24,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2663]) ).
fof(f5173,plain,
( sQ335_spl
| h3(e10) != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f2567,f4348]) ).
fof(f5174,plain,
( sQ335_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5173]) ).
fof(f5175,plain,
sQ335_spl,
inference(contradiction_clause,[status(thm)],[f5174]) ).
fof(f5182,plain,
( ~ sQ402_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f4581,f1446,f2058]) ).
fof(f5191,plain,
( ~ sQ167_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2587,f1255]) ).
fof(f5192,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5191,f406]) ).
fof(f5193,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f5192]) ).
fof(f5205,plain,
( ~ sQ168_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2587,f1258]) ).
fof(f5206,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5205,f407]) ).
fof(f5207,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f5206]) ).
fof(f5225,plain,
( ~ sQ352_spl
| h3(e12) = op2(h3(e14),h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f3688,f1899]) ).
fof(f5226,plain,
( ~ sQ352_spl
| h3(e12) = op2(e23,h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f2644,f5225]) ).
fof(f5227,plain,
( ~ sQ352_spl
| h3(e12) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2644,f5226]) ).
fof(f5239,plain,
( ~ sQ154_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f3025,f1180,f1212]) ).
fof(f5240,plain,
( ~ sQ154_spl
| ~ sQ150_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f1201,f1213]) ).
fof(f5241,plain,
( ~ sQ154_spl
| ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5240,f408]) ).
fof(f5242,plain,
( ~ sQ154_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f5241]) ).
fof(f5244,plain,
( ~ sQ140_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f4031,f1248,f1168]) ).
fof(f5248,plain,
op2(e21,e20) != e20,
inference(forward_demodulation,[status(thm)],[f2587,f356]) ).
fof(f5254,plain,
( ~ sQ1_spl
| e11 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f674,f195]) ).
fof(f5327,plain,
( ~ sQ69_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3299,f842,f890]) ).
fof(f5335,plain,
( sQ316_spl
| ~ sQ111_spl
| h2(e11) != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1026,f2767]) ).
fof(f5336,plain,
( sQ316_spl
| ~ sQ111_spl
| e21 != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f463,f5335]) ).
fof(f5339,plain,
( ~ sQ36_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f2567,f786]) ).
fof(f5340,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5339,f395]) ).
fof(f5341,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f5340]) ).
fof(f5344,plain,
( ~ sQ402_spl
| op2(e21,e24) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2668]) ).
fof(f5350,plain,
( ~ sQ108_spl
| e13 != op1(e14,e13) ),
inference(backward_demodulation,[status(thm)],[f1016,f290]) ).
fof(f5369,plain,
( ~ sQ176_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f1284,f358]) ).
fof(f5379,plain,
( ~ sQ202_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f5155]) ).
fof(f5380,plain,
( ~ sQ202_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f5379]) ).
fof(f5396,plain,
( ~ sQ35_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4187,f798,f782]) ).
fof(f5397,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f4206,f942,f782]) ).
fof(f5412,plain,
( ~ sQ39_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f2567,f795]) ).
fof(f5413,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5412,f398]) ).
fof(f5414,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f5413]) ).
fof(f5422,plain,
( sQ315_spl
| ~ sQ108_spl
| h2(e13) != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f1016,f2769]) ).
fof(f5423,plain,
( sQ315_spl
| ~ sQ108_spl
| e23 != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f2623,f5422]) ).
fof(f5425,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1016,f1013]) ).
fof(f5426,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5425,f402]) ).
fof(f5427,plain,
( ~ sQ107_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f5426]) ).
fof(f5474,plain,
( ~ sQ126_spl
| op1(e11,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1074,f52]) ).
fof(f5475,plain,
( ~ sQ126_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f2567,f5474]) ).
fof(f5476,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5475,f396]) ).
fof(f5477,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f5476]) ).
fof(f5512,plain,
( ~ sQ119_spl
| ~ sQ115_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f1039,f1051]) ).
fof(f5513,plain,
( ~ sQ119_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5512,f398]) ).
fof(f5514,plain,
( ~ sQ119_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f5513]) ).
fof(f5543,plain,
h1(e12) = op2(h1(e14),h1(e14)),
inference(forward_demodulation,[status(thm)],[f462,f2610]) ).
fof(f5545,plain,
( sQ284_spl
| h1(e12) != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f5543,f4974]) ).
fof(f5546,plain,
( sQ284_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5545]) ).
fof(f5547,plain,
sQ284_spl,
inference(contradiction_clause,[status(thm)],[f5546]) ).
fof(f5548,plain,
( sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f4903]) ).
fof(f5549,plain,
sQ267_spl,
inference(contradiction_clause,[status(thm)],[f5548]) ).
fof(f5601,plain,
( ~ sQ420_spl
| h5(e12) = op2(h5(e14),h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f3688,f2113]) ).
fof(f5602,plain,
( ~ sQ420_spl
| ~ sQ517_spl
| e21 = op2(h5(e14),h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f2513,f5601]) ).
fof(f5603,plain,
( ~ sQ420_spl
| ~ sQ517_spl
| ~ sQ402_spl
| e21 = op2(e22,h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f3753,f5602]) ).
fof(f5604,plain,
( ~ sQ420_spl
| ~ sQ517_spl
| ~ sQ402_spl
| e21 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3753,f5603]) ).
fof(f5605,plain,
( ~ sQ420_spl
| ~ sQ517_spl
| ~ sQ402_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2597,f5604]) ).
fof(f5606,plain,
( ~ sQ420_spl
| ~ sQ517_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5605,f410]) ).
fof(f5607,plain,
( ~ sQ420_spl
| ~ sQ517_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f5606]) ).
fof(f5616,plain,
( ~ sQ402_spl
| h5(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f2597,f3752]) ).
fof(f5619,plain,
( sQ527_spl
| ~ sQ402_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f5616,f2556]) ).
fof(f5620,plain,
( sQ527_spl
| ~ sQ402_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5619]) ).
fof(f5621,plain,
( sQ527_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f5620]) ).
fof(f5640,plain,
( ~ sQ242_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1495,f5160]) ).
fof(f5641,plain,
( ~ sQ242_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f5640]) ).
fof(f5644,plain,
( ~ sQ169_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f2587,f1261]) ).
fof(f5645,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5644,f408]) ).
fof(f5646,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f5645]) ).
fof(f5681,plain,
( sQ352_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3688,f2731]) ).
fof(f5682,plain,
( sQ352_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5681]) ).
fof(f5683,plain,
sQ352_spl,
inference(contradiction_clause,[status(thm)],[f5682]) ).
fof(f5695,plain,
( ~ sQ221_spl
| h3(e10) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f4381,f312]) ).
fof(f5698,plain,
( ~ sQ221_spl
| sQ477_spl ),
inference(split_clause,[status(thm)],[f4382,f2344,f1427]) ).
fof(f5710,plain,
( ~ sQ130_spl
| h1(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f462,f1137]) ).
fof(f5713,plain,
( ~ sQ223_spl
| ~ sQ221_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1428,f1434]) ).
fof(f5714,plain,
( ~ sQ223_spl
| ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5713,f410]) ).
fof(f5715,plain,
( ~ sQ223_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f5714]) ).
fof(f5720,plain,
( ~ sQ221_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1428,f2637]) ).
fof(f5725,plain,
( sQ294_spl
| ~ sQ130_spl
| h2(op1(e10,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5710,f2823]) ).
fof(f5759,plain,
( ~ sQ59_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f859,f2585]) ).
fof(f5760,plain,
( ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5759]) ).
fof(f5761,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f5760]) ).
fof(f5825,plain,
( ~ sQ37_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f2567,f789]) ).
fof(f5826,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5825,f396]) ).
fof(f5827,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f5826]) ).
fof(f5854,plain,
( sQ303_spl
| ~ sQ178_spl
| h2(op1(e11,e14)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1290,f2799]) ).
fof(f5858,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f968,f962]) ).
fof(f5859,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5858,f400]) ).
fof(f5860,plain,
( ~ sQ91_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5859]) ).
fof(f5889,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f5029,f868,f1076]) ).
fof(f5912,plain,
( ~ sQ0_spl
| e10 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f671,f196]) ).
fof(f5925,plain,
( ~ sQ124_spl
| e12 = e14 ),
inference(forward_demodulation,[status(thm)],[f3688,f1067]) ).
fof(f5926,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5925,f403]) ).
fof(f5927,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f5926]) ).
fof(f5946,plain,
( sQ302_spl
| ~ sQ42_spl
| h2(e12) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f805,f2801]) ).
fof(f5981,plain,
( ~ sQ402_spl
| op2(e24,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f3753,f2664]) ).
fof(f5986,plain,
( ~ sQ403_spl
| ~ sQ402_spl
| h5(e10) = op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f5616,f4906]) ).
fof(f6015,plain,
( ~ sQ221_spl
| op2(e23,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f5720,f2630]) ).
fof(f6066,plain,
( sQ296_spl
| ~ sQ142_spl
| h2(op1(e10,e12)) != e22 ),
inference(backward_demodulation,[status(thm)],[f1175,f2818]) ).
fof(f6072,plain,
( ~ sQ245_spl
| ~ sQ403_spl
| ~ sQ402_spl
| h5(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5986,f1505]) ).
fof(f6073,plain,
( ~ sQ245_spl
| ~ sQ403_spl
| ~ sQ402_spl
| sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6072,f2485]) ).
fof(f6074,plain,
( ~ sQ245_spl
| ~ sQ403_spl
| ~ sQ402_spl
| sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f6073]) ).
fof(f6087,plain,
( ~ sQ165_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f3981,f1264,f1248]) ).
fof(f6159,plain,
( ~ sQ402_spl
| ~ sQ403_spl
| h5(e10) != e22 ),
inference(forward_demodulation,[status(thm)],[f5986,f4602]) ).
fof(f6163,plain,
( ~ sQ403_spl
| ~ sQ402_spl
| op2(e20,e23) != h5(e10) ),
inference(forward_demodulation,[status(thm)],[f5986,f328]) ).
fof(f6164,plain,
( sQ317_spl
| ~ sQ403_spl
| ~ sQ402_spl
| h2(op1(e14,e13)) != h5(e10) ),
inference(forward_demodulation,[status(thm)],[f5986,f2765]) ).
fof(f6176,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f2582]) ).
fof(f6177,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f6176]) ).
fof(f6202,plain,
( ~ sQ256_spl
| op2(e21,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f1540,f134]) ).
fof(f6222,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f4790]) ).
fof(f6223,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f6222]) ).
fof(f6238,plain,
( ~ sQ116_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4811,f1025,f1041]) ).
fof(f6271,plain,
( ~ sQ1_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5254,f753,f673]) ).
fof(f6277,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f933,f927]) ).
fof(f6278,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6277,f396]) ).
fof(f6279,plain,
( ~ sQ80_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f6278]) ).
fof(f6287,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f2571]) ).
fof(f6288,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f6287]) ).
fof(f6290,plain,
( ~ sQ123_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f3688,f1064]) ).
fof(f6291,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6290,f402]) ).
fof(f6292,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f6291]) ).
fof(f6296,plain,
( ~ sQ52_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f837,f202]) ).
fof(f6298,plain,
( ~ sQ52_spl
| e12 != op1(e12,e14) ),
inference(backward_demodulation,[status(thm)],[f837,f268]) ).
fof(f6300,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f4803]) ).
fof(f6301,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f6300]) ).
fof(f6303,plain,
( ~ sQ125_spl
| op1(e11,e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f1071,f51]) ).
fof(f6304,plain,
( ~ sQ125_spl
| op1(e10,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f1071,f50]) ).
fof(f6305,plain,
( ~ sQ125_spl
| op1(e10,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f1071,f49]) ).
fof(f6307,plain,
( ~ sQ125_spl
| op1(e14,e10) = e14 ),
inference(backward_demodulation,[status(thm)],[f1071,f57]) ).
fof(f6309,plain,
( ~ sQ125_spl
| op1(e13,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f1071,f55]) ).
fof(f6311,plain,
( ~ sQ125_spl
| op1(e12,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f1071,f53]) ).
fof(f6313,plain,
( ~ sQ125_spl
| op1(e10,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f1071,f52]) ).
fof(f6315,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f4430,f1002,f1070]) ).
fof(f6323,plain,
( ~ sQ125_spl
| op1(e10,e12) != e14 ),
inference(backward_demodulation,[status(thm)],[f4435,f253]) ).
fof(f6324,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f4436,f919,f1070]) ).
fof(f6326,plain,
( ~ sQ125_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f4438,f250]) ).
fof(f6335,plain,
( sQ489_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2644,f2396]) ).
fof(f6336,plain,
( sQ489_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6335]) ).
fof(f6337,plain,
sQ489_spl,
inference(contradiction_clause,[status(thm)],[f6336]) ).
fof(f6347,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1498,f2593]) ).
fof(f6348,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f6347]) ).
fof(f6350,plain,
( ~ sQ234_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f3047,f1308,f1468]) ).
fof(f6352,plain,
( ~ sQ234_spl
| ~ sQ230_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f1457,f1469]) ).
fof(f6353,plain,
( ~ sQ234_spl
| ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6352,f408]) ).
fof(f6354,plain,
( ~ sQ234_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f6353]) ).
fof(f6357,plain,
( sQ297_spl
| ~ sQ125_spl
| h2(e13) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4438,f2816]) ).
fof(f6358,plain,
( sQ297_spl
| ~ sQ125_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2623,f6357]) ).
fof(f6382,plain,
( ~ sQ136_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1156,f306]) ).
fof(f6460,plain,
( ~ sQ237_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1479,f5981]) ).
fof(f6461,plain,
( ~ sQ237_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f6460]) ).
fof(f6473,plain,
( ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| h5(e13) = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f5227,f5134]) ).
fof(f6528,plain,
( sQ316_spl
| ~ sQ111_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f5336,f1491,f1025,f1785]) ).
fof(f6546,plain,
( ~ sQ91_spl
| ~ sQ94_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f971,f962]) ).
fof(f6547,plain,
( ~ sQ91_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6546,f401]) ).
fof(f6548,plain,
( ~ sQ91_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f6547]) ).
fof(f6572,plain,
( ~ sQ125_spl
| e13 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f4438,f225]) ).
fof(f6574,plain,
( ~ sQ17_spl
| ~ sQ125_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f4438,f725]) ).
fof(f6575,plain,
( ~ sQ17_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6574,f402]) ).
fof(f6576,plain,
( ~ sQ17_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f6575]) ).
fof(f6604,plain,
( ~ sQ117_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1045,f4788]) ).
fof(f6605,plain,
( ~ sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6604]) ).
fof(f6606,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f6605]) ).
fof(f6611,plain,
( ~ sQ52_spl
| e12 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f837,f267]) ).
fof(f6614,plain,
( ~ sQ52_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f6296,f916,f836]) ).
fof(f6615,plain,
( ~ sQ52_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f6298,f900,f836]) ).
fof(f6616,plain,
( ~ sQ125_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f6303,f753,f1070]) ).
fof(f6617,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f6304,f689,f1070]) ).
fof(f6618,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6305,f670,f1070]) ).
fof(f6623,plain,
( ~ sQ125_spl
| e14 != op1(e14,e11) ),
inference(backward_demodulation,[status(thm)],[f6307,f285]) ).
fof(f6628,plain,
( ~ sQ125_spl
| e13 != op1(e13,e11) ),
inference(backward_demodulation,[status(thm)],[f6309,f275]) ).
fof(f6635,plain,
( ~ sQ125_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6323,f714,f1070]) ).
fof(f6637,plain,
( ~ sQ125_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f6326,f695,f1070]) ).
fof(f6669,plain,
( ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| h5(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f6690,f6473]) ).
fof(f6690,plain,
( ~ sQ221_spl
| ~ sQ352_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f5227,f1428]) ).
fof(f6712,plain,
( ~ sQ221_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f6015,f1411,f1427]) ).
fof(f6725,plain,
( ~ sQ221_spl
| ~ sQ480_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2358,f5695]) ).
fof(f6757,plain,
( ~ sQ212_spl
| ~ sQ221_spl
| ~ sQ480_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f6725]) ).
fof(f6758,plain,
( ~ sQ212_spl
| ~ sQ221_spl
| ~ sQ480_spl ),
inference(contradiction_clause,[status(thm)],[f6757]) ).
fof(f6766,plain,
( ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1485,f2603]) ).
fof(f6767,plain,
~ sQ239_spl,
inference(contradiction_clause,[status(thm)],[f6766]) ).
fof(f6768,plain,
( ~ sQ247_spl
| ~ sQ403_spl
| ~ sQ402_spl
| h5(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f5986,f1511]) ).
fof(f6769,plain,
( ~ sQ247_spl
| ~ sQ403_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6768,f6159]) ).
fof(f6770,plain,
( ~ sQ247_spl
| ~ sQ403_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f6769]) ).
fof(f6786,plain,
( ~ sQ402_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f4618,f1462,f2058]) ).
fof(f6798,plain,
( sQ309_spl
| ~ sQ125_spl
| h2(e13) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f6309,f2782]) ).
fof(f6799,plain,
( sQ309_spl
| ~ sQ125_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2623,f6798]) ).
fof(f6801,plain,
( sQ298_spl
| ~ sQ125_spl
| h2(e14) != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f4435,f2814]) ).
fof(f6802,plain,
( sQ298_spl
| ~ sQ125_spl
| e24 != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f2624,f6801]) ).
fof(f6803,plain,
( ~ sQ402_spl
| ~ sQ152_spl ),
inference(split_clause,[status(thm)],[f4597,f1206,f2058]) ).
fof(f6822,plain,
( ~ sQ3_spl
| e13 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f680,f197]) ).
fof(f6823,plain,
( ~ sQ3_spl
| ~ sQ125_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f6309,f6822]) ).
fof(f6824,plain,
( ~ sQ3_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6823]) ).
fof(f6825,plain,
( ~ sQ3_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f6824]) ).
fof(f6828,plain,
( ~ sQ12_spl
| op1(e10,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f709,f246]) ).
fof(f6830,plain,
( ~ sQ106_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4162,f689,f1009]) ).
fof(f6850,plain,
( ~ sQ55_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f4095,f894,f846]) ).
fof(f6860,plain,
( sQ311_spl
| ~ sQ89_spl
| h2(e14) != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f955,f2778]) ).
fof(f6869,plain,
( ~ sQ56_spl
| ~ sQ55_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f847,f850]) ).
fof(f6870,plain,
( ~ sQ56_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6869,f395]) ).
fof(f6871,plain,
( ~ sQ56_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f6870]) ).
fof(f6881,plain,
( ~ sQ69_spl
| op1(e11,e13) != e14 ),
inference(backward_demodulation,[status(thm)],[f891,f229]) ).
fof(f6884,plain,
( sQ302_spl
| ~ sQ42_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2620,f5946]) ).
fof(f6896,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f2573]) ).
fof(f6897,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f6896]) ).
fof(f6899,plain,
( sQ317_spl
| ~ sQ403_spl
| ~ sQ402_spl
| ~ sQ115_spl
| h2(e10) != h5(e10) ),
inference(backward_demodulation,[status(thm)],[f1039,f6164]) ).
fof(f6909,plain,
( ~ sQ125_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f6572,f807,f1070]) ).
fof(f6924,plain,
( ~ sQ91_spl
| op1(e13,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f962,f282]) ).
fof(f6927,plain,
( sQ312_spl
| ~ sQ91_spl
| h2(e11) != h3(e12) ),
inference(backward_demodulation,[status(thm)],[f962,f2776]) ).
fof(f6929,plain,
( ~ sQ91_spl
| op1(e12,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f962,f232]) ).
fof(f6934,plain,
( ~ sQ125_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f6623,f1018,f1070]) ).
fof(f6936,plain,
( ~ sQ125_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f6628,f935,f1070]) ).
fof(f6949,plain,
( ~ sQ9_spl
| ~ sQ6_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f690,f699]) ).
fof(f6950,plain,
( ~ sQ9_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6949,f401]) ).
fof(f6951,plain,
( ~ sQ9_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f6950]) ).
fof(f6962,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f6828]) ).
fof(f6963,plain,
( ~ sQ2_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f6962]) ).
fof(f6974,plain,
( sQ299_spl
| ~ sQ26_spl
| h2(e11) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f754,f2812]) ).
fof(f6997,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f2572]) ).
fof(f6998,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f6997]) ).
fof(f7001,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f6311,f836,f1070]) ).
fof(f7007,plain,
( ~ sQ0_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f5912,f830,f670]) ).
fof(f7027,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f2600]) ).
fof(f7028,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f7027]) ).
fof(f7043,plain,
( sQ313_spl
| ~ sQ95_spl
| h2(e10) != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f975,f2773]) ).
fof(f7044,plain,
( sQ313_spl
| ~ sQ95_spl
| e20 != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f2619,f7043]) ).
fof(f7058,plain,
( ~ sQ316_spl
| h2(op1(e14,e12)) = op2(e24,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2624,f1786]) ).
fof(f7059,plain,
( ~ sQ316_spl
| h2(op1(e14,e12)) = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f2620,f7058]) ).
fof(f7060,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f2592]) ).
fof(f7061,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f7060]) ).
fof(f7062,plain,
( ~ sQ248_spl
| ~ sQ403_spl
| ~ sQ402_spl
| h5(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f5986,f1514]) ).
fof(f7063,plain,
( ~ sQ248_spl
| ~ sQ403_spl
| ~ sQ402_spl
| sQ525_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7062,f2548]) ).
fof(f7064,plain,
( ~ sQ248_spl
| ~ sQ403_spl
| ~ sQ402_spl
| sQ525_spl ),
inference(contradiction_clause,[status(thm)],[f7063]) ).
fof(f7099,plain,
( ~ sQ172_spl
| sQ302_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f6884]) ).
fof(f7100,plain,
( ~ sQ172_spl
| sQ302_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f7099]) ).
fof(f7107,plain,
( ~ sQ156_spl
| h1(e14) != e21 ),
inference(backward_demodulation,[status(thm)],[f1220,f2618]) ).
fof(f7134,plain,
( ~ sQ220_spl
| ~ sQ352_spl
| op2(e23,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f7140,f2632]) ).
fof(f7140,plain,
( ~ sQ220_spl
| ~ sQ352_spl
| h3(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f5227,f1425]) ).
fof(f7147,plain,
( ~ sQ131_spl
| ~ sQ266_spl
| h1(e14) = e21 ),
inference(forward_demodulation,[status(thm)],[f3778,f1140]) ).
fof(f7148,plain,
( ~ sQ131_spl
| ~ sQ266_spl
| sQ439_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7147,f2186]) ).
fof(f7149,plain,
( ~ sQ131_spl
| ~ sQ266_spl
| sQ439_spl ),
inference(contradiction_clause,[status(thm)],[f7148]) ).
fof(f7188,plain,
( ~ sQ255_spl
| op2(e20,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1537,f140]) ).
fof(f7189,plain,
( ~ sQ255_spl
| op2(e22,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f1537,f139]) ).
fof(f7190,plain,
( ~ sQ255_spl
| op2(e20,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f1537,f138]) ).
fof(f7191,plain,
( ~ sQ255_spl
| op2(e21,e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f1537,f137]) ).
fof(f7198,plain,
( ~ sQ255_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f4410,f1468,f1536]) ).
fof(f7199,plain,
( ~ sQ255_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f4414,f1212,f1536]) ).
fof(f7260,plain,
( ~ sQ316_spl
| ~ sQ111_spl
| h2(e11) = op2(e24,e22) ),
inference(backward_demodulation,[status(thm)],[f1026,f7059]) ).
fof(f7280,plain,
( ~ sQ114_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f3235,f1002,f1034]) ).
fof(f7329,plain,
( sQ312_spl
| ~ sQ91_spl
| e21 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f463,f6927]) ).
fof(f7343,plain,
( ~ sQ69_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f6881,f810,f890]) ).
fof(f7344,plain,
( sQ307_spl
| ~ sQ69_spl
| h2(e14) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f891,f2786]) ).
fof(f7383,plain,
( sQ308_spl
| ~ sQ71_spl
| h2(e11) != op2(e22,e24) ),
inference(backward_demodulation,[status(thm)],[f898,f2784]) ).
fof(f7396,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4815,f737,f897]) ).
fof(f7400,plain,
( sQ317_spl
| ~ sQ403_spl
| ~ sQ402_spl
| ~ sQ115_spl
| e20 != h5(e10) ),
inference(forward_demodulation,[status(thm)],[f2619,f6899]) ).
fof(f7426,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f2584]) ).
fof(f7427,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f7426]) ).
fof(f7428,plain,
( ~ sQ73_spl
| ~ sQ71_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f898,f904]) ).
fof(f7429,plain,
( ~ sQ73_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7428,f400]) ).
fof(f7430,plain,
( ~ sQ73_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f7429]) ).
fof(f7474,plain,
( sQ296_spl
| ~ sQ142_spl
| ~ sQ125_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f6313,f6066]) ).
fof(f7475,plain,
( sQ296_spl
| ~ sQ142_spl
| ~ sQ125_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2620,f7474]) ).
fof(f7476,plain,
( sQ296_spl
| ~ sQ142_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7475]) ).
fof(f7477,plain,
( sQ296_spl
| ~ sQ142_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f7476]) ).
fof(f7485,plain,
( ~ sQ125_spl
| e12 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f6313,f217]) ).
fof(f7486,plain,
( ~ sQ125_spl
| ~ sQ87_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f949,f7485]) ).
fof(f7487,plain,
( ~ sQ125_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7486]) ).
fof(f7488,plain,
( ~ sQ125_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7487]) ).
fof(f7494,plain,
( sQ299_spl
| ~ sQ26_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f463,f6974]) ).
fof(f7509,plain,
( sQ304_spl
| ~ sQ52_spl
| h2(e12) != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f837,f2797]) ).
fof(f7516,plain,
( ~ sQ52_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f6611,f884,f836]) ).
fof(f7539,plain,
( sQ481_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f468,f2363]) ).
fof(f7540,plain,
( sQ481_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7539]) ).
fof(f7541,plain,
sQ481_spl,
inference(contradiction_clause,[status(thm)],[f7540]) ).
fof(f7600,plain,
( ~ sQ155_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f4030,f1248,f1216]) ).
fof(f7608,plain,
( sQ303_spl
| ~ sQ178_spl
| ~ sQ48_spl
| h2(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f824,f5854]) ).
fof(f7609,plain,
( sQ303_spl
| ~ sQ178_spl
| ~ sQ48_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2623,f7608]) ).
fof(f7610,plain,
( sQ303_spl
| ~ sQ178_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7609]) ).
fof(f7611,plain,
( sQ303_spl
| ~ sQ178_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f7610]) ).
fof(f7678,plain,
( ~ sQ220_spl
| ~ sQ352_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f7134,f1376,f1898,f1424]) ).
fof(f7681,plain,
( ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1354,f2590]) ).
fof(f7682,plain,
~ sQ198_spl,
inference(contradiction_clause,[status(thm)],[f7681]) ).
fof(f7751,plain,
( ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6202,f5248]) ).
fof(f7752,plain,
~ sQ256_spl,
inference(contradiction_clause,[status(thm)],[f7751]) ).
fof(f7762,plain,
( ~ sQ316_spl
| ~ sQ111_spl
| e21 = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f463,f7260]) ).
fof(f7763,plain,
( ~ sQ316_spl
| ~ sQ111_spl
| ~ sQ244_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f1501,f7762]) ).
fof(f7764,plain,
( ~ sQ316_spl
| ~ sQ111_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7763,f411]) ).
fof(f7765,plain,
( ~ sQ316_spl
| ~ sQ111_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f7764]) ).
fof(f7771,plain,
( sQ311_spl
| ~ sQ89_spl
| e24 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2624,f6860]) ).
fof(f7783,plain,
( sQ309_spl
| ~ sQ125_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f6799,f1385,f1070,f1764]) ).
fof(f7784,plain,
( sQ307_spl
| ~ sQ69_spl
| e24 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2624,f7344]) ).
fof(f7790,plain,
( sQ308_spl
| ~ sQ71_spl
| e21 != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f463,f7383]) ).
fof(f7795,plain,
( ~ sQ22_spl
| ~ sQ125_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f4435,f741]) ).
fof(f7796,plain,
( ~ sQ22_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7795,f403]) ).
fof(f7797,plain,
( ~ sQ22_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f7796]) ).
fof(f7802,plain,
( sQ310_spl
| ~ sQ82_spl
| h2(e12) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f933,f2780]) ).
fof(f7841,plain,
( sQ304_spl
| ~ sQ52_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2620,f7509]) ).
fof(f7861,plain,
( sQ313_spl
| ~ sQ95_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f7044,f1440,f974,f1776]) ).
fof(f7877,plain,
( ~ sQ182_spl
| sQ304_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f7841]) ).
fof(f7878,plain,
( ~ sQ182_spl
| sQ304_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f7877]) ).
fof(f7879,plain,
( ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1418,f2594]) ).
fof(f7880,plain,
~ sQ218_spl,
inference(contradiction_clause,[status(thm)],[f7879]) ).
fof(f7884,plain,
( ~ sQ188_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1322,f2591]) ).
fof(f7885,plain,
( ~ sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7884]) ).
fof(f7886,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f7885]) ).
fof(f7889,plain,
( sQ317_spl
| ~ sQ403_spl
| ~ sQ402_spl
| ~ sQ115_spl
| ~ sQ510_spl ),
inference(split_clause,[status(thm)],[f7400,f2483,f1038,f2058,f2061,f1788]) ).
fof(f7897,plain,
( ~ sQ257_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f4997,f1334,f1542]) ).
fof(f7970,plain,
( ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1405,f2604]) ).
fof(f7971,plain,
~ sQ214_spl,
inference(contradiction_clause,[status(thm)],[f7970]) ).
fof(f8033,plain,
( ~ sQ156_spl
| ~ sQ439_spl ),
inference(split_clause,[status(thm)],[f7107,f2184,f1219]) ).
fof(f8042,plain,
( ~ sQ304_spl
| ~ sQ52_spl
| h2(e12) = op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f837,f1750]) ).
fof(f8043,plain,
( ~ sQ304_spl
| ~ sQ52_spl
| e22 = op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2620,f8042]) ).
fof(f8044,plain,
( ~ sQ304_spl
| ~ sQ52_spl
| e22 = op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2620,f8043]) ).
fof(f8045,plain,
( ~ sQ304_spl
| ~ sQ52_spl
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2619,f8044]) ).
fof(f8050,plain,
( ~ sQ185_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f3887,f1360,f1312]) ).
fof(f8079,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1293,f2599]) ).
fof(f8080,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f8079]) ).
fof(f8084,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1325,f2605]) ).
fof(f8085,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f8084]) ).
fof(f8086,plain,
( ~ sQ258_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4418,f1376,f1545]) ).
fof(f8097,plain,
( ~ sQ258_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f4424,f1433,f1545]) ).
fof(f8113,plain,
( ~ sQ166_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2587,f1252]) ).
fof(f8114,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8113,f405]) ).
fof(f8115,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f8114]) ).
fof(f8151,plain,
( ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| h3(e10) = op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f8160,f2628]) ).
fof(f8157,plain,
( ~ sQ352_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ221_spl
| e21 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f8160,f5227]) ).
fof(f8160,plain,
( ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f6473,f6669]) ).
fof(f8259,plain,
( ~ sQ204_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f3017,f1212,f1372]) ).
fof(f8276,plain,
( ~ sQ304_spl
| ~ sQ52_spl
| e22 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f8045,f302]) ).
fof(f8286,plain,
( ~ sQ186_spl
| ~ sQ221_spl
| h3(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f4381,f1316]) ).
fof(f8470,plain,
( sQ314_spl
| ~ sQ234_spl
| ~ sQ125_spl
| h2(e14) != e24 ),
inference(forward_demodulation,[status(thm)],[f6307,f3045]) ).
fof(f8471,plain,
( sQ314_spl
| ~ sQ234_spl
| ~ sQ125_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f2624,f8470]) ).
fof(f8472,plain,
( sQ314_spl
| ~ sQ234_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8471]) ).
fof(f8473,plain,
( sQ314_spl
| ~ sQ234_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8472]) ).
fof(f8486,plain,
( ~ sQ91_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f6924,f945,f961]) ).
fof(f8495,plain,
( ~ sQ255_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f7188,f1193,f1536]) ).
fof(f8496,plain,
( ~ sQ255_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f7189,f1302,f1536]) ).
fof(f8497,plain,
( ~ sQ255_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f7190,f1174,f1536]) ).
fof(f8498,plain,
( ~ sQ255_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f7191,f1219,f1536]) ).
fof(f8518,plain,
( ~ sQ255_spl
| op2(e23,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f1537,f141]) ).
fof(f8532,plain,
( ~ sQ176_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f5369,f1219,f1283]) ).
fof(f8551,plain,
( sQ312_spl
| ~ sQ91_spl
| ~ sQ477_spl ),
inference(split_clause,[status(thm)],[f7329,f2344,f961,f1773]) ).
fof(f8556,plain,
( sQ310_spl
| ~ sQ82_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2620,f7802]) ).
fof(f8557,plain,
( sQ299_spl
| ~ sQ26_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f7494,f1219,f753,f1734]) ).
fof(f8558,plain,
( sQ298_spl
| ~ sQ125_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f6802,f1212,f1070,f1731]) ).
fof(f8563,plain,
( sQ297_spl
| ~ sQ125_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f6358,f1193,f1070,f1728]) ).
fof(f8564,plain,
( sQ295_spl
| ~ sQ6_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f4750,f1155,f689,f1722]) ).
fof(f8566,plain,
( sQ294_spl
| ~ sQ130_spl
| ~ sQ0_spl
| h2(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f671,f5725]) ).
fof(f8567,plain,
( sQ294_spl
| ~ sQ130_spl
| ~ sQ0_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2619,f8566]) ).
fof(f8568,plain,
( sQ294_spl
| ~ sQ130_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8567]) ).
fof(f8569,plain,
( sQ294_spl
| ~ sQ130_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f8568]) ).
fof(f8725,plain,
( sQ307_spl
| ~ sQ69_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f7784,f1356,f890,f1758]) ).
fof(f8731,plain,
( sQ308_spl
| ~ sQ71_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f7790,f1363,f897,f1761]) ).
fof(f8732,plain,
( sQ315_spl
| ~ sQ108_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f5423,f1481,f1015,f1782]) ).
fof(f8735,plain,
( sQ311_spl
| ~ sQ89_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f7771,f1420,f954,f1770]) ).
fof(f8793,plain,
( ~ sQ304_spl
| ~ sQ52_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f8276,f1382,f836,f1749]) ).
fof(f8831,plain,
( ~ sQ403_spl
| ~ sQ402_spl
| ~ sQ148_spl
| e23 != h5(e10) ),
inference(backward_demodulation,[status(thm)],[f1194,f6163]) ).
fof(f8867,plain,
( ~ sQ136_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| e21 != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f8151,f6382]) ).
fof(f8911,plain,
( ~ sQ187_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f8151,f1319]) ).
fof(f8912,plain,
( ~ sQ187_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| sQ480_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8911,f2359]) ).
fof(f8913,plain,
( ~ sQ187_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| sQ480_spl ),
inference(contradiction_clause,[status(thm)],[f8912]) ).
fof(f9030,plain,
( ~ sQ74_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3218,f746,f906]) ).
fof(f9036,plain,
( ~ sQ91_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f6929,f881,f961]) ).
fof(f9160,plain,
( sQ310_spl
| ~ sQ82_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f8556,f1398,f932,f1767]) ).
fof(f9187,plain,
( ~ sQ136_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| ~ sQ186_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f8286,f8867]) ).
fof(f9188,plain,
( ~ sQ136_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| ~ sQ186_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9187]) ).
fof(f9189,plain,
( ~ sQ136_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ352_spl
| ~ sQ221_spl
| ~ sQ186_spl ),
inference(contradiction_clause,[status(thm)],[f9188]) ).
fof(f9208,plain,
( ~ sQ368_spl
| ~ sQ222_spl
| ~ sQ352_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ221_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f8157,f4694]) ).
fof(f9209,plain,
( ~ sQ368_spl
| ~ sQ222_spl
| ~ sQ352_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9208,f409]) ).
fof(f9210,plain,
( ~ sQ368_spl
| ~ sQ222_spl
| ~ sQ352_spl
| ~ sQ408_spl
| ~ sQ527_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f9209]) ).
fof(f9228,plain,
( ~ sQ255_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f8518,f1385,f1536]) ).
fof(f9241,plain,
( ~ sQ402_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f5344,f1286,f2058]) ).
fof(f9373,plain,
( sQ305_spl
| ~ sQ55_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f4047,f1312,f846,f1752]) ).
fof(f9433,plain,
( ~ sQ403_spl
| ~ sQ402_spl
| ~ sQ148_spl
| ~ sQ525_spl ),
inference(split_clause,[status(thm)],[f8831,f2546,f1193,f2058,f2061]) ).
fof(f9434,plain,
( ~ sQ514_spl
| ~ sQ402_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3753,f2500]) ).
fof(f9435,plain,
( ~ sQ514_spl
| ~ sQ402_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9434,f406]) ).
fof(f9436,plain,
( ~ sQ514_spl
| ~ sQ402_spl ),
inference(contradiction_clause,[status(thm)],[f9435]) ).
fof(f9555,plain,
( ~ sQ35_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4133,f1022,f782]) ).
fof(f9563,plain,
( ~ sQ108_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5350,f1047,f1015]) ).
fof(f9632,plain,
( ~ sQ128_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f4443,f197]) ).
fof(f9864,plain,
( ~ sQ128_spl
| e10 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f4444,f227]) ).
fof(f9865,plain,
( ~ sQ128_spl
| ~ sQ90_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f959,f9864]) ).
fof(f9866,plain,
( ~ sQ128_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9865]) ).
fof(f9867,plain,
( ~ sQ128_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f9866]) ).
fof(f9911,plain,
( ~ sQ128_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f9632,f670,f1079]) ).
fof(f9921,plain,
$false,
inference(sat_refutation,[status(thm)],[f781,f877,f893,f1037,f1069,f1085,f1094,f1097,f1102,f1103,f1108,f1111,f1115,f1117,f1120,f1121,f1123,f1127,f1247,f1263,f1295,f1327,f1343,f1551,f1554,f1566,f1575,f1580,f1581,f1586,f1592,f1593,f1595,f1597,f1598,f1602,f1603,f1607,f1608,f1825,f2234,f2259,f2284,f2309,f2364,f2397,f2544,f2557,f2675,f2685,f2708,f2724,f2745,f2757,f2793,f2810,f2829,f2839,f2878,f2893,f2896,f2902,f2905,f2911,f2914,f2920,f2923,f2926,f2929,f2953,f2974,f2980,f2983,f2989,f2992,f2995,f3001,f3004,f3072,f3186,f3206,f3255,f3258,f3270,f3343,f3346,f3352,f3358,f3367,f3406,f3429,f3432,f3435,f3438,f3448,f3494,f3498,f3504,f3507,f3513,f3525,f3545,f3554,f3563,f3569,f3573,f3585,f3588,f3591,f3600,f3606,f3609,f3612,f3615,f3618,f3621,f3624,f3627,f3630,f3633,f3636,f3639,f3642,f3645,f3648,f3651,f3657,f3670,f3676,f3691,f3801,f3826,f3846,f3850,f3929,f4029,f4065,f4100,f4136,f4176,f4215,f4222,f4235,f4239,f4243,f4252,f4322,f4347,f4417,f4433,f4442,f4455,f4515,f4522,f4529,f4536,f4559,f4562,f4644,f4671,f4676,f4781,f4786,f4809,f4844,f4894,f4910,f4926,f4959,f5006,f5040,f5068,f5124,f5125,f5175,f5182,f5193,f5207,f5239,f5242,f5244,f5327,f5341,f5380,f5396,f5397,f5414,f5427,f5477,f5514,f5547,f5549,f5607,f5621,f5641,f5646,f5683,f5698,f5715,f5761,f5827,f5860,f5889,f5927,f6074,f6087,f6177,f6223,f6238,f6271,f6279,f6288,f6292,f6301,f6315,f6324,f6337,f6348,f6350,f6354,f6461,f6528,f6548,f6576,f6606,f6614,f6615,f6616,f6617,f6618,f6635,f6637,f6712,f6758,f6767,f6770,f6786,f6803,f6825,f6830,f6850,f6871,f6897,f6909,f6934,f6936,f6951,f6963,f6998,f7001,f7007,f7028,f7061,f7064,f7100,f7149,f7198,f7199,f7280,f7343,f7396,f7427,f7430,f7477,f7488,f7516,f7541,f7600,f7611,f7678,f7682,f7752,f7765,f7783,f7797,f7861,f7878,f7880,f7886,f7889,f7897,f7971,f8033,f8050,f8080,f8085,f8086,f8097,f8115,f8259,f8473,f8486,f8495,f8496,f8497,f8498,f8532,f8551,f8557,f8558,f8563,f8564,f8569,f8725,f8731,f8732,f8735,f8793,f8913,f9030,f9036,f9160,f9189,f9210,f9228,f9241,f9373,f9433,f9436,f9555,f9563,f9867,f9911]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG048+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n009.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 12:54:32 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.15/5.40 % Drodi V4.1.1
% 0.15/6.10 % Refutation found
% 0.15/6.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/6.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.06/6.14 % Elapsed time: 0.757963 seconds
% 1.06/6.14 % CPU time: 5.603981 seconds
% 1.06/6.14 % Total memory used: 214.135 MB
% 1.06/6.14 % Net memory used: 212.260 MB
%------------------------------------------------------------------------------