%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG038+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 11:47:51 AM UTC 2026
% Result : Theorem 0.14s 10.55s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 137
% Syntax : Number of formulae : 687 ( 115 unt; 121 def)
% Number of atoms : 2618 (1641 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 3041 (1110 ~;1319 |; 491 &)
% ( 121 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 123 ( 121 usr; 122 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 )
& 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 )
& 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( e13 = op1(e11,e11)
& e12 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,op1(e11,e11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( e23 = op2(e21,e21)
& e22 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,op2(e21,e21))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h2(e13) = op2(e21,e21)
& h2(e12) = op2(e21,op2(e21,e21))
& h2(e10) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( h3(e13) = op2(e22,e22)
& h3(e12) = op2(e22,op2(e22,e22))
& h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( h4(e13) = op2(e23,e23)
& h4(e12) = op2(e23,op2(e23,e23))
& h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f31,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
op1(unit1,e10) = e10,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
op1(e10,unit1) = e10,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
op1(unit1,e11) = e11,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
op1(e11,unit1) = e11,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
op1(e12,unit1) = e12,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
op1(e13,unit1) = e13,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f54,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f57,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f60,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
op2(unit2,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f97,plain,
op2(unit2,e21) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f98,plain,
op2(e21,unit2) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f99,plain,
op2(unit2,e22) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f100,plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f101,plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f102,plain,
op2(e23,unit2) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f103,plain,
( unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f106,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f107,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f110,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f111,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f126,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f130,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f145,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f148,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f150,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f152,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f162,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f165,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f166,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f171,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f172,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f176,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f179,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f183,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f190,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f191,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f192,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f193,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f195,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f197,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f198,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f203,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f204,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f205,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f206,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f207,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f209,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f214,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f215,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f224,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f226,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f232,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f233,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f234,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f235,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f236,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f237,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f238,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f240,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f241,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f242,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f243,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f270,plain,
e10 = op1(e11,op1(e11,op1(e11,e11))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f271,plain,
e12 = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f272,plain,
e13 = op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f273,plain,
e20 = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f274,plain,
e22 = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f275,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f280,plain,
h2(e11) = e21,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f281,plain,
h2(e10) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f282,plain,
h2(e12) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f283,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h3(e10) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f286,plain,
h3(e12) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f287,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f291,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f292,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f293,definition,
( sP0_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f294,definition,
( sP1_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f295,definition,
( sP2_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f296,definition,
( sP3_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f297,definition,
( sP4_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f298,definition,
( sP5_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f299,definition,
( sP6_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f300,definition,
( sP7_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f301,definition,
( sP8_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f302,definition,
( sP9_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f303,definition,
( sP10_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f304,definition,
( sP11_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f305,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP11_prd
| sP10_prd
| sP9_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP8_prd
| sP7_prd
| sP6_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP5_prd
| sP4_prd
| sP3_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP2_prd
| sP1_prd
| sP0_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f292,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293]) ).
fof(f313,plain,
( h2(e13) != e23
| sP5_prd
| sP4_prd
| sP3_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f340,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP3_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f341,plain,
( h2(e10) != e20
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP4_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f348,plain,
( h2(e11) != e21
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP5_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f355,plain,
( h2(e12) != e22
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f394,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f400,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f413,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f426,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f433,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f449,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f455,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f462,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f472,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f474,plain,
( sQ24_spl
| op1(e11,e12) != e10 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f481,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f485,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f504,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f511,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f31,f511,f514,f517,f520]) ).
fof(f533,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f537,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f559,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f569,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f576,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f36,f576,f579,f582,f585]) ).
fof(f589,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f602,definition,
( sQ64_spl
<=> unit1 = e10 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ64_spl
| unit1 = e10 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ65_spl
<=> unit1 = e11 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ65_spl
| unit1 = e11 ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ66_spl
<=> unit1 = e12 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ66_spl
| unit1 = e12 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ67_spl
<=> unit1 = e13 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ67_spl
| unit1 = e13 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f46,f602,f605,f608,f611]) ).
fof(f619,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f400,f413,f426,f439]) ).
fof(f622,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f54,f403,f455,f507,f559]) ).
fof(f625,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f57,f449,f462,f475,f488]) ).
fof(f628,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f60,f413,f465,f517,f569]) ).
fof(f638,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f70,f429,f481,f533,f585]) ).
fof(f640,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f72,f433,f485,f537,f589]) ).
fof(f642,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f74,f436,f488,f540,f592]) ).
fof(f647,definition,
( sQ68_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ68_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ69_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ69_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ70_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ70_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ71_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f657,plain,
( ~ sQ71_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f79,f647,f650,f653,f656]) ).
fof(f663,definition,
( sQ73_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f669,definition,
( sQ75_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f670,plain,
( ~ sQ75_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f676,definition,
( sQ77_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ77_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,definition,
( sQ78_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( ~ sQ78_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,definition,
( sQ79_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f683,plain,
( ~ sQ79_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f689,definition,
( sQ81_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ81_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f695,definition,
( sQ83_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f702,definition,
( sQ85_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ85_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f708,definition,
( sQ87_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ87_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f741,definition,
( sQ97_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ97_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f754,definition,
( sQ101_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ101_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ102_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ102_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ103_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ103_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f764,definition,
( sQ104_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ104_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ105_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f770,definition,
( sQ106_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ106_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ107_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ107_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f88,f764,f767,f770,f773]) ).
fof(f783,definition,
( sQ110_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ110_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ111_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ111_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f790,definition,
( sQ112_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f793,definition,
( sQ113_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ113_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ114_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ114_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ115_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ115_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f90,f790,f793,f796,f799]) ).
fof(f806,definition,
( sQ117_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ117_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f812,definition,
( sQ119_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ119_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f816,definition,
( sQ120_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f819,definition,
( sQ121_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f822,definition,
( sQ122_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ122_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ123_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f92,f816,f819,f822,f825]) ).
fof(f832,definition,
( sQ125_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ125_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f842,definition,
( sQ128_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ128_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ129_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ129_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ130_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ130_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ131_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ131_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f94,f842,f845,f848,f851]) ).
fof(f855,definition,
( sQ132_spl
<=> unit2 = e20 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ132_spl
| unit2 = e20 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ133_spl
<=> unit2 = e21 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ133_spl
| unit2 = e21 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,definition,
( sQ134_spl
<=> unit2 = e22 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ134_spl
| unit2 = e22 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ135_spl
<=> unit2 = e23 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ135_spl
| unit2 = e23 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f103,f855,f858,f861,f864]) ).
fof(f870,plain,
( sQ81_spl
| sQ77_spl
| sQ73_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f106,f650,f663,f676,f689]) ).
fof(f871,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f107,f650,f702,f754,f806]) ).
fof(f874,plain,
( sQ83_spl
| sQ79_spl
| sQ75_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f110,f656,f669,f682,f695]) ).
fof(f875,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f111,f656,f708,f760,f812]) ).
fof(f888,plain,
( sQ114_spl
| sQ110_spl
| sQ106_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f124,f757,f770,f783,f796]) ).
fof(f890,plain,
( sQ115_spl
| sQ111_spl
| sQ107_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f126,f760,f773,f786,f799]) ).
fof(f894,plain,
( sQ129_spl
| sQ125_spl
| sQ121_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f130,f806,f819,f832,f845]) ).
fof(f981,definition,
( sQ159_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( sQ159_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ160_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( sQ160_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ161_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( sQ161_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,definition,
( sQ162_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( sQ162_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,definition,
( sQ163_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( sQ163_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ164_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( sQ164_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ165_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ165_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ166_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ166_spl
| h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1004,plain,
( sQ166_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,definition,
( sQ167_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( sQ167_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,definition,
( sQ168_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( sQ168_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,definition,
( sQ169_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( sQ169_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,definition,
( sQ170_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( sQ170_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,definition,
( sQ171_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( sQ171_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,definition,
( sQ172_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( sQ172_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
( sQ173_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( sQ173_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,definition,
( sQ174_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
( sQ174_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,definition,
( sQ175_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1032,definition,
( sQ176_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1035,definition,
( sQ177_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1050,definition,
( sQ181_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( sQ181_spl
| h2(e13) != e23 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1053,plain,
( ~ sQ181_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ168_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ165_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ162_spl
| ~ sQ161_spl
| ~ sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f313,f981,f984,f987,f990,f993,f996,f999,f1002,f1005,f1008,f1011,f1014,f1017,f1020,f1023,f1026,f1029,f1032,f1035,f1050]) ).
fof(f1196,definition,
( sQ227_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ227_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1198,plain,
( sQ227_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1251,definition,
( sQ240_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ240_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1253,plain,
( sQ240_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,plain,
( ~ sQ240_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f341,f1029,f1251]) ).
fof(f1272,definition,
( sQ245_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ245_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,plain,
( ~ sQ245_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f348,f1032,f1272]) ).
fof(f1293,definition,
( sQ250_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ250_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,plain,
( ~ sQ250_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f355,f1035,f1293]) ).
fof(f1327,definition,
( sQ258_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1348,definition,
( sQ263_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1365,definition,
( sQ267_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ135_spl
| op2(e21,e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f865,f98]) ).
fof(f1422,plain,
( ~ sQ67_spl
| op1(e11,e13) = e11 ),
inference(backward_demodulation,[status(thm)],[f612,f41]) ).
fof(f1582,plain,
e10 = op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f271,f270]) ).
fof(f1583,plain,
e12 = op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f272,f271]) ).
fof(f1586,plain,
op1(e11,e10) != e13,
inference(backward_demodulation,[status(thm)],[f272,f166]) ).
fof(f1588,plain,
e13 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f272,f145]) ).
fof(f1595,plain,
e20 = op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f274,f273]) ).
fof(f1613,plain,
e22 = op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f275,f274]) ).
fof(f1616,plain,
op2(e21,e20) != e23,
inference(backward_demodulation,[status(thm)],[f275,f214]) ).
fof(f1618,plain,
e23 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f275,f193]) ).
fof(f1619,plain,
op2(e20,e21) != e23,
inference(backward_demodulation,[status(thm)],[f275,f190]) ).
fof(f1702,plain,
( sQ172_spl
| h2(op1(e13,e11)) != op2(h2(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f280,f1022]) ).
fof(f1705,plain,
( sQ168_spl
| h2(op1(e12,e11)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f280,f1010]) ).
fof(f1707,plain,
( sQ166_spl
| h2(op1(e11,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f280,f1004]) ).
fof(f1711,plain,
( sQ165_spl
| h2(op1(e11,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f1001]) ).
fof(f1712,plain,
( sQ164_spl
| h2(e13) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f998]) ).
fof(f1713,plain,
( sQ164_spl
| h2(e13) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f280,f1712]) ).
fof(f1714,plain,
( sQ164_spl
| h2(e13) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f280,f1713]) ).
fof(f1715,plain,
( sQ163_spl
| h2(op1(e11,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f995]) ).
fof(f1718,plain,
( sQ160_spl
| h2(op1(e10,e11)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f280,f986]) ).
fof(f1824,plain,
( ~ sQ113_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f794,f207]) ).
fof(f1875,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f680,f683]) ).
fof(f1876,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1875,f243]) ).
fof(f1877,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1876]) ).
fof(f1881,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f758,f761]) ).
fof(f1882,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1881,f243]) ).
fof(f1883,plain,
( ~ sQ103_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1936,plain,
( ~ sQ15_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f443,f165]) ).
fof(f1938,plain,
( ~ sQ15_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f443,f162]) ).
fof(f1942,plain,
( ~ sQ59_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f586,f179]) ).
fof(f1960,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f440,f443]) ).
fof(f1961,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1960,f237]) ).
fof(f1962,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1961]) ).
fof(f1972,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f538,f541]) ).
fof(f1973,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f232]) ).
fof(f1974,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f2024,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f505,f508]) ).
fof(f2025,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2024,f237]) ).
fof(f2026,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2025]) ).
fof(f2027,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f473,f476]) ).
fof(f2028,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f232]) ).
fof(f2029,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2028]) ).
fof(f2071,plain,
( ~ sQ113_spl
| ~ sQ129_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f846,f1824]) ).
fof(f2072,plain,
( ~ sQ113_spl
| ~ sQ129_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2071]) ).
fof(f2073,plain,
( ~ sQ113_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f2072]) ).
fof(f2090,plain,
( ~ sQ15_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1938,f403,f442]) ).
fof(f2095,plain,
( ~ sQ21_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f463,f272]) ).
fof(f2096,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2095,f236]) ).
fof(f2097,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2096]) ).
fof(f2108,plain,
( ~ sQ134_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f862,f98]) ).
fof(f2124,plain,
( ~ sQ134_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1595,f2108]) ).
fof(f2125,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2124,f238]) ).
fof(f2126,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2137,plain,
( ~ sQ65_spl
| op1(e11,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f606,f40]) ).
fof(f2141,plain,
( ~ sQ65_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f2137,f462,f605]) ).
fof(f2157,plain,
( sQ166_spl
| h2(e12) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1583,f1707]) ).
fof(f2174,plain,
( ~ sQ64_spl
| op1(e10,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f603,f38]) ).
fof(f2184,plain,
op2(e20,e22) != h3(e13),
inference(backward_demodulation,[status(thm)],[f287,f197]) ).
fof(f2195,plain,
h3(e12) = op2(e22,h3(e13)),
inference(forward_demodulation,[status(thm)],[f287,f286]) ).
fof(f2202,plain,
e22 != op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f1613,f205]) ).
fof(f2211,plain,
( ~ sQ119_spl
| ~ sQ117_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f807,f813]) ).
fof(f2212,plain,
( ~ sQ119_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2211,f242]) ).
fof(f2213,plain,
( ~ sQ119_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f2212]) ).
fof(f2217,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f1618]) ).
fof(f2218,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f2217]) ).
fof(f2232,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f1619]) ).
fof(f2233,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f2232]) ).
fof(f2238,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f1616]) ).
fof(f2239,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f2238]) ).
fof(f2267,plain,
( ~ sQ70_spl
| e22 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f654,f209]) ).
fof(f2284,plain,
( ~ sQ29_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f489,f1583]) ).
fof(f2285,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2284,f235]) ).
fof(f2286,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f2285]) ).
fof(f2297,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f291,f204]) ).
fof(f2307,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f1586]) ).
fof(f2308,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2313,plain,
( sQ24_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1582,f474]) ).
fof(f2314,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2313]) ).
fof(f2315,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2318,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f1588]) ).
fof(f2319,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2329,plain,
( ~ sQ27_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1582,f482]) ).
fof(f2330,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2329,f234]) ).
fof(f2331,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f2330]) ).
fof(f2371,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1936,f429,f442]) ).
fof(f2382,plain,
op2(e21,e20) != e20,
inference(forward_demodulation,[status(thm)],[f1595,f215]) ).
fof(f2390,plain,
( ~ sQ37_spl
| e11 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f515,f176]) ).
fof(f2391,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f395,f401]) ).
fof(f2392,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2391,f233]) ).
fof(f2393,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2392]) ).
fof(f2394,plain,
( ~ sQ110_spl
| h3(e13) = e22 ),
inference(backward_demodulation,[status(thm)],[f784,f287]) ).
fof(f2395,plain,
( ~ sQ110_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2394,f1348,f783]) ).
fof(f2427,plain,
e10 != op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f1582,f152]) ).
fof(f2435,plain,
( sQ165_spl
| h2(e10) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1582,f1711]) ).
fof(f2440,plain,
( sQ245_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f280,f1274]) ).
fof(f2441,plain,
( sQ245_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2440]) ).
fof(f2442,plain,
sQ245_spl,
inference(contradiction_clause,[status(thm)],[f2441]) ).
fof(f2447,plain,
op1(e10,e12) != e10,
inference(forward_demodulation,[status(thm)],[f1582,f148]) ).
fof(f2456,plain,
( ~ sQ115_spl
| op2(e20,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f800,f203]) ).
fof(f2460,plain,
( ~ sQ115_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f2456,f695,f799]) ).
fof(f2465,plain,
( ~ sQ131_spl
| h4(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f852,f291]) ).
fof(f2466,plain,
( ~ sQ131_spl
| sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2465,f1198]) ).
fof(f2467,plain,
( ~ sQ131_spl
| sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2466]) ).
fof(f2482,plain,
e22 != op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f1613,f206]) ).
fof(f2495,plain,
( sQ163_spl
| ~ sQ17_spl
| h2(e11) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f450,f1715]) ).
fof(f2496,plain,
( sQ163_spl
| ~ sQ17_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f2495]) ).
fof(f2523,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2390,f540,f514]) ).
fof(f2524,plain,
e10 != op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f1582,f171]) ).
fof(f2528,plain,
( ~ sQ64_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f603,f43]) ).
fof(f2532,plain,
( ~ sQ64_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f603,f44]) ).
fof(f2541,plain,
( ~ sQ64_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2174,f394,f602]) ).
fof(f2543,plain,
( ~ sQ64_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2528,f504,f602]) ).
fof(f2554,plain,
( ~ sQ64_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f2532,f442,f602]) ).
fof(f2558,plain,
( sQ164_spl
| h2(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f275,f1714]) ).
fof(f2563,plain,
( ~ sQ77_spl
| e21 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f677,f198]) ).
fof(f2565,plain,
( ~ sQ77_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f2563,f832,f676]) ).
fof(f2570,plain,
( ~ sQ133_spl
| op2(e21,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f859,f95]) ).
fof(f2571,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2570,f2382]) ).
fof(f2572,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2571]) ).
fof(f2582,plain,
( ~ sQ97_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f742,f1613]) ).
fof(f2583,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2582,f241]) ).
fof(f2584,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f2583]) ).
fof(f2590,plain,
h2(e13) = e23,
inference(forward_demodulation,[status(thm)],[f275,f283]) ).
fof(f2591,plain,
( sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2590,f1052]) ).
fof(f2592,plain,
sQ181_spl,
inference(contradiction_clause,[status(thm)],[f2591]) ).
fof(f2593,plain,
( sQ164_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f2558,f1050,f996]) ).
fof(f2599,plain,
( ~ sQ132_spl
| op2(e20,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f856,f99]) ).
fof(f2601,plain,
( ~ sQ132_spl
| op2(e20,e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f856,f97]) ).
fof(f2606,plain,
( ~ sQ132_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2599,f679,f855]) ).
fof(f2607,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f2482]) ).
fof(f2608,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f2607]) ).
fof(f2612,plain,
( sQ162_spl
| h2(op1(e10,e13)) != op2(h2(e10),e23) ),
inference(backward_demodulation,[status(thm)],[f2590,f992]) ).
fof(f2613,plain,
( sQ172_spl
| h2(op1(e13,e11)) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2590,f1702]) ).
fof(f2618,plain,
( ~ sQ166_spl
| h2(op1(e11,e13)) = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f280,f1003]) ).
fof(f2619,plain,
( ~ sQ166_spl
| h2(op1(e11,e13)) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2590,f2618]) ).
fof(f2620,plain,
( ~ sQ132_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f856,f100]) ).
fof(f2622,plain,
( ~ sQ132_spl
| op2(e20,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f856,f101]) ).
fof(f2623,plain,
( ~ sQ132_spl
| e23 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2625,f226]) ).
fof(f2625,plain,
( ~ sQ132_spl
| op2(e23,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f856,f102]) ).
fof(f2626,plain,
( ~ sQ132_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f2623,f825,f855]) ).
fof(f2630,plain,
( sQ170_spl
| h2(op1(e12,e13)) != op2(h2(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f2590,f1016]) ).
fof(f2631,plain,
( sQ171_spl
| h2(op1(e13,e10)) != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2590,f1019]) ).
fof(f2643,plain,
( sQ173_spl
| h2(op1(e13,e12)) != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2590,f1025]) ).
fof(f2653,plain,
( ~ sQ67_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1422,f488,f611]) ).
fof(f2658,plain,
( sQ174_spl
| h2(op1(e13,e13)) != op2(e23,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2590,f1028]) ).
fof(f2659,plain,
( sQ174_spl
| h2(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2590,f2658]) ).
fof(f2671,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f2524]) ).
fof(f2672,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f2671]) ).
fof(f2676,plain,
( ~ sQ132_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2620,f220]) ).
fof(f2708,plain,
( ~ sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f797,f2202]) ).
fof(f2709,plain,
( ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2708]) ).
fof(f2710,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f2709]) ).
fof(f2712,plain,
( ~ sQ132_spl
| e23 != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f2622,f2297]) ).
fof(f2723,plain,
( ~ sQ64_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f603,f44]) ).
fof(f2724,plain,
( ~ sQ64_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f603,f43]) ).
fof(f2739,plain,
( ~ sQ64_spl
| ~ sQ13_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f437,f2723]) ).
fof(f2740,plain,
( ~ sQ64_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2739,f236]) ).
fof(f2741,plain,
( ~ sQ64_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2740]) ).
fof(f2753,plain,
( ~ sQ132_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f856,f95]) ).
fof(f2759,plain,
h3(e10) = op2(e22,op2(e22,h3(e13))),
inference(backward_demodulation,[status(thm)],[f287,f285]) ).
fof(f2761,plain,
h2(e10) = op2(e21,op2(e21,e23)),
inference(forward_demodulation,[status(thm)],[f275,f281]) ).
fof(f2770,plain,
( ~ sQ166_spl
| h2(e10) = op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f2771,f2761]) ).
fof(f2771,plain,
( ~ sQ166_spl
| h2(e12) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1583,f2619]) ).
fof(f2776,plain,
h2(e12) = op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f275,f282]) ).
fof(f2786,plain,
( ~ sQ166_spl
| h2(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f1613,f2771]) ).
fof(f2787,plain,
( ~ sQ166_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2786,f1293,f1002]) ).
fof(f2805,plain,
( ~ sQ166_spl
| ~ sQ250_spl
| h2(e10) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1294,f2770]) ).
fof(f2806,plain,
( ~ sQ166_spl
| ~ sQ250_spl
| h2(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f1595,f2805]) ).
fof(f2807,plain,
( ~ sQ166_spl
| ~ sQ250_spl
| sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2806,f1253]) ).
fof(f2808,plain,
( ~ sQ166_spl
| ~ sQ250_spl
| sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f2807]) ).
fof(f2832,plain,
( sQ174_spl
| h2(op1(e13,e13)) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f291,f2659]) ).
fof(f2843,plain,
( ~ sQ132_spl
| e21 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f2601,f191]) ).
fof(f2844,plain,
( ~ sQ132_spl
| e21 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2601,f192]) ).
fof(f2852,plain,
( ~ sQ10_spl
| e12 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f427,f150]) ).
fof(f2853,plain,
( ~ sQ71_spl
| ~ sQ132_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2753,f657]) ).
fof(f2854,plain,
( ~ sQ71_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2853,f240]) ).
fof(f2855,plain,
( ~ sQ71_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f2854]) ).
fof(f2857,plain,
( ~ sQ106_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f2676]) ).
fof(f2858,plain,
( ~ sQ106_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2860,plain,
( ~ sQ227_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f2712]) ).
fof(f2861,plain,
( ~ sQ227_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2872,plain,
( ~ sQ78_spl
| e22 != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f680,f2184]) ).
fof(f2873,plain,
( ~ sQ111_spl
| h3(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f787,f287]) ).
fof(f2899,plain,
( ~ sQ132_spl
| ~ sQ81_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f690,f2622]) ).
fof(f2900,plain,
( ~ sQ132_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2899,f242]) ).
fof(f2901,plain,
( ~ sQ132_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2900]) ).
fof(f2902,plain,
( ~ sQ69_spl
| ~ sQ132_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2753,f651]) ).
fof(f2903,plain,
( ~ sQ69_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2902,f238]) ).
fof(f2904,plain,
( ~ sQ69_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2910,plain,
( ~ sQ64_spl
| op1(e10,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f603,f40]) ).
fof(f2916,plain,
( ~ sQ64_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f603,f45]) ).
fof(f2918,plain,
( ~ sQ64_spl
| e12 != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f2724,f172]) ).
fof(f2941,plain,
( ~ sQ61_spl
| op1(e13,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f593,f183]) ).
fof(f2946,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2941,f579,f592]) ).
fof(f2947,plain,
( ~ sQ58_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f2852]) ).
fof(f2948,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2947]) ).
fof(f2949,plain,
( ~ sQ38_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f518,f2918]) ).
fof(f2950,plain,
( ~ sQ38_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2949]) ).
fof(f2966,plain,
( ~ sQ6_spl
| ~ sQ64_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f2910,f414]) ).
fof(f2967,plain,
( ~ sQ6_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2966,f235]) ).
fof(f2968,plain,
( ~ sQ6_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2967]) ).
fof(f2970,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f2427]) ).
fof(f2971,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f2970]) ).
fof(f2983,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1942,f559,f585]) ).
fof(f2988,plain,
( ~ sQ22_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f466,f272]) ).
fof(f2989,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2988,f237]) ).
fof(f2990,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f2989]) ).
fof(f2999,plain,
( ~ sQ104_spl
| e20 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f765,f224]) ).
fof(f3002,plain,
( ~ sQ128_spl
| h4(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f843,f291]) ).
fof(f3003,plain,
( ~ sQ128_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f3002,f1365,f842]) ).
fof(f3088,plain,
( ~ sQ111_spl
| h3(e10) = op2(e22,op2(e22,e23)) ),
inference(forward_demodulation,[status(thm)],[f2873,f2759]) ).
fof(f3089,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| h3(e10) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f794,f3088]) ).
fof(f3090,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f765,f3089]) ).
fof(f3117,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f434,f443]) ).
fof(f3118,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3117,f234]) ).
fof(f3119,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3118]) ).
fof(f3154,plain,
( sQ174_spl
| ~ sQ60_spl
| h2(e10) != h4(e13) ),
inference(backward_demodulation,[status(thm)],[f590,f2832]) ).
fof(f3158,plain,
( sQ174_spl
| ~ sQ60_spl
| ~ sQ166_spl
| ~ sQ250_spl
| e20 != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f2806,f3154]) ).
fof(f3164,plain,
( ~ sQ104_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2999,f790,f764]) ).
fof(f3171,plain,
( ~ sQ78_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f2872,f1348,f679]) ).
fof(f3191,plain,
( ~ sQ132_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2843,f767,f855]) ).
fof(f3193,plain,
( sQ174_spl
| ~ sQ60_spl
| ~ sQ166_spl
| ~ sQ250_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f3158,f1365,f1293,f1002,f589,f1026]) ).
fof(f3216,plain,
( sQ173_spl
| ~ sQ57_spl
| h2(e11) != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f580,f2643]) ).
fof(f3217,plain,
( sQ173_spl
| ~ sQ57_spl
| e21 != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f3216]) ).
fof(f3218,plain,
( sQ173_spl
| ~ sQ57_spl
| ~ sQ250_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1294,f3217]) ).
fof(f3219,plain,
( sQ173_spl
| ~ sQ57_spl
| ~ sQ250_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f833,f3218]) ).
fof(f3220,plain,
( sQ173_spl
| ~ sQ57_spl
| ~ sQ250_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3219]) ).
fof(f3221,plain,
( sQ173_spl
| ~ sQ57_spl
| ~ sQ250_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3220]) ).
fof(f3222,plain,
h2(e12) = e22,
inference(forward_demodulation,[status(thm)],[f1613,f2776]) ).
fof(f3225,plain,
( sQ166_spl
| h2(e12) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2590,f2157]) ).
fof(f3226,plain,
( sQ166_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f1613,f3225]) ).
fof(f3270,plain,
( sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3222,f3226]) ).
fof(f3271,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f3270]) ).
fof(f3283,plain,
( sQ172_spl
| ~ sQ54_spl
| h2(e12) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f570,f2613]) ).
fof(f3284,plain,
( sQ171_spl
| ~ sQ64_spl
| h2(e13) != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2916,f2631]) ).
fof(f3285,plain,
( sQ171_spl
| ~ sQ64_spl
| e23 != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2590,f3284]) ).
fof(f3286,plain,
( sQ171_spl
| ~ sQ64_spl
| ~ sQ240_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1252,f3285]) ).
fof(f3287,plain,
( sQ170_spl
| ~ sQ45_spl
| h2(e11) != op2(h2(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f541,f2630]) ).
fof(f3288,plain,
( sQ170_spl
| ~ sQ45_spl
| e21 != op2(h2(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f280,f3287]) ).
fof(f3289,plain,
( sQ169_spl
| ~ sQ43_spl
| h2(e13) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f534,f1013]) ).
fof(f3290,plain,
( sQ169_spl
| ~ sQ43_spl
| e23 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2590,f3289]) ).
fof(f3294,plain,
( sQ168_spl
| ~ sQ36_spl
| h2(e10) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f512,f1705]) ).
fof(f3295,plain,
( sQ168_spl
| ~ sQ36_spl
| ~ sQ240_spl
| e20 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1252,f3294]) ).
fof(f3300,plain,
( sQ163_spl
| ~ sQ17_spl
| ~ sQ240_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1252,f2496]) ).
fof(f3301,plain,
( sQ163_spl
| ~ sQ17_spl
| ~ sQ240_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f703,f3300]) ).
fof(f3302,plain,
( sQ163_spl
| ~ sQ17_spl
| ~ sQ240_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3301]) ).
fof(f3303,plain,
( sQ163_spl
| ~ sQ17_spl
| ~ sQ240_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3302]) ).
fof(f3309,plain,
( sQ160_spl
| ~ sQ64_spl
| h2(e11) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f2910,f1718]) ).
fof(f3310,plain,
( sQ160_spl
| ~ sQ64_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f280,f3309]) ).
fof(f3311,plain,
( sQ160_spl
| ~ sQ64_spl
| ~ sQ240_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1252,f3310]) ).
fof(f3340,plain,
( sQ165_spl
| ~ sQ240_spl
| e20 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1252,f2435]) ).
fof(f3349,plain,
( ~ sQ135_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1408,f741,f864]) ).
fof(f3358,plain,
( ~ sQ132_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f2844,f819,f855]) ).
fof(f3435,plain,
( ~ sQ132_spl
| op2(e20,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f856,f101]) ).
fof(f3445,plain,
( ~ sQ132_spl
| op2(e20,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f856,f99]) ).
fof(f3455,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f755,f758]) ).
fof(f3456,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3455,f241]) ).
fof(f3457,plain,
( ~ sQ102_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3456]) ).
fof(f3460,plain,
( ~ sQ111_spl
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2873,f287]) ).
fof(f3467,plain,
( ~ sQ111_spl
| h3(e12) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2873,f2195]) ).
fof(f3528,plain,
( sQ162_spl
| ~ sQ240_spl
| h2(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1252,f2612]) ).
fof(f3529,plain,
( sQ162_spl
| ~ sQ240_spl
| ~ sQ132_spl
| h2(op1(e10,e13)) != e23 ),
inference(forward_demodulation,[status(thm)],[f3435,f3528]) ).
fof(f3530,plain,
( sQ161_spl
| ~ sQ240_spl
| h2(op1(e10,e12)) != op2(e20,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1252,f989]) ).
fof(f3531,plain,
( sQ161_spl
| ~ sQ240_spl
| h2(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3222,f3530]) ).
fof(f3532,plain,
( sQ161_spl
| ~ sQ240_spl
| ~ sQ132_spl
| h2(op1(e10,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f3445,f3531]) ).
fof(f3535,plain,
( sQ159_spl
| ~ sQ240_spl
| h2(op1(e10,e10)) != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1252,f983]) ).
fof(f3536,plain,
( sQ159_spl
| ~ sQ240_spl
| h2(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1252,f3535]) ).
fof(f3537,plain,
( sQ159_spl
| ~ sQ240_spl
| ~ sQ68_spl
| h2(op1(e10,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f648,f3536]) ).
fof(f3581,plain,
( ~ sQ66_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f609,f39]) ).
fof(f3582,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3581,f2447]) ).
fof(f3583,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f3582]) ).
fof(f3672,plain,
( sQ172_spl
| ~ sQ54_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3222,f3283]) ).
fof(f3712,plain,
( ~ sQ70_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2267,f679,f653]) ).
fof(f3745,plain,
( ~ sQ64_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f603,f38]) ).
fof(f3751,plain,
( ~ sQ64_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f603,f43]) ).
fof(f3753,plain,
( ~ sQ64_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f603,f44]) ).
fof(f3759,plain,
( ~ sQ64_spl
| op1(e10,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f603,f42]) ).
fof(f3777,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl
| e20 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f3780,f195]) ).
fof(f3780,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl
| e20 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3090,f3089]) ).
fof(f3781,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f3777,f816,f764,f793,f786]) ).
fof(f3789,plain,
( sQ172_spl
| ~ sQ54_spl
| ~ sQ122_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f823,f3672]) ).
fof(f3790,plain,
( sQ172_spl
| ~ sQ54_spl
| ~ sQ122_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3789]) ).
fof(f3791,plain,
( sQ172_spl
| ~ sQ54_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f3790]) ).
fof(f3792,plain,
( sQ171_spl
| ~ sQ64_spl
| ~ sQ240_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3286,f812,f1251,f602,f1017]) ).
fof(f3796,plain,
( sQ170_spl
| ~ sQ45_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3222,f3288]) ).
fof(f3797,plain,
( sQ170_spl
| ~ sQ45_spl
| ~ sQ111_spl
| e21 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3467,f3796]) ).
fof(f3824,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| h3(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f794,f3467]) ).
fof(f3825,plain,
( ~ sQ111_spl
| ~ sQ113_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f3824,f1327,f793,f786]) ).
fof(f3826,plain,
( sQ170_spl
| ~ sQ45_spl
| ~ sQ111_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f3797,f1327,f786,f540,f1014]) ).
fof(f3829,plain,
( sQ169_spl
| ~ sQ43_spl
| e23 != op2(e22,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3222,f3290]) ).
fof(f3830,plain,
( sQ169_spl
| ~ sQ43_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3222,f3829]) ).
fof(f3831,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ111_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3460,f3830]) ).
fof(f3832,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3831]) ).
fof(f3833,plain,
( sQ169_spl
| ~ sQ43_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3832]) ).
fof(f3843,plain,
( sQ168_spl
| ~ sQ36_spl
| ~ sQ240_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3222,f3295]) ).
fof(f3844,plain,
( sQ168_spl
| ~ sQ36_spl
| ~ sQ240_spl
| ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3780,f3843]) ).
fof(f3845,plain,
( sQ168_spl
| ~ sQ36_spl
| ~ sQ240_spl
| ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3844]) ).
fof(f3846,plain,
( sQ168_spl
| ~ sQ36_spl
| ~ sQ240_spl
| ~ sQ111_spl
| ~ sQ113_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f3845]) ).
fof(f3850,plain,
( sQ162_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl
| h2(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f3753,f3529]) ).
fof(f3851,plain,
( sQ162_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2590,f3850]) ).
fof(f3852,plain,
( sQ162_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3851]) ).
fof(f3853,plain,
( sQ162_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3852]) ).
fof(f3857,plain,
( sQ161_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f3759,f3532]) ).
fof(f3858,plain,
( sQ161_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3222,f3857]) ).
fof(f3859,plain,
( sQ161_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3858]) ).
fof(f3860,plain,
( sQ161_spl
| ~ sQ240_spl
| ~ sQ132_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3859]) ).
fof(f3865,plain,
( sQ160_spl
| ~ sQ64_spl
| ~ sQ240_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3311,f663,f1251,f602,f984]) ).
fof(f3870,plain,
( sQ159_spl
| ~ sQ240_spl
| ~ sQ68_spl
| ~ sQ64_spl
| h2(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f3745,f3537]) ).
fof(f3871,plain,
( sQ159_spl
| ~ sQ240_spl
| ~ sQ68_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1252,f3870]) ).
fof(f3872,plain,
( sQ159_spl
| ~ sQ240_spl
| ~ sQ68_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3871]) ).
fof(f3873,plain,
( sQ159_spl
| ~ sQ240_spl
| ~ sQ68_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3872]) ).
fof(f3881,plain,
( sQ165_spl
| ~ sQ240_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3222,f3340]) ).
fof(f3882,plain,
( sQ165_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1595,f3881]) ).
fof(f3883,plain,
( sQ165_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3882]) ).
fof(f3884,plain,
( sQ165_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f3883]) ).
fof(f3885,plain,
( sQ167_spl
| ~ sQ64_spl
| h2(e12) != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3751,f1007]) ).
fof(f3886,plain,
( sQ167_spl
| ~ sQ64_spl
| e22 != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3222,f3885]) ).
fof(f3887,plain,
( sQ167_spl
| ~ sQ64_spl
| e22 != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3222,f3886]) ).
fof(f3888,plain,
( sQ167_spl
| ~ sQ64_spl
| ~ sQ240_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1252,f3887]) ).
fof(f3889,plain,
( sQ167_spl
| ~ sQ64_spl
| ~ sQ240_spl
| ~ sQ132_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2620,f3888]) ).
fof(f3890,plain,
( sQ167_spl
| ~ sQ64_spl
| ~ sQ240_spl
| ~ sQ132_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3889]) ).
fof(f3891,plain,
( sQ167_spl
| ~ sQ64_spl
| ~ sQ240_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f3890]) ).
fof(f3892,plain,
$false,
inference(sat_refutation,[status(thm)],[f523,f588,f614,f619,f622,f625,f628,f638,f640,f642,f659,f776,f802,f828,f854,f867,f870,f871,f874,f875,f888,f890,f894,f1053,f1254,f1275,f1296,f1877,f1883,f1962,f1974,f2026,f2029,f2073,f2090,f2097,f2126,f2141,f2213,f2218,f2233,f2239,f2286,f2308,f2315,f2319,f2331,f2371,f2393,f2395,f2442,f2460,f2467,f2523,f2541,f2543,f2554,f2565,f2572,f2584,f2592,f2593,f2606,f2608,f2626,f2653,f2672,f2710,f2741,f2787,f2808,f2855,f2858,f2861,f2901,f2904,f2946,f2948,f2950,f2968,f2971,f2983,f2990,f3003,f3119,f3164,f3171,f3191,f3193,f3221,f3271,f3303,f3349,f3358,f3457,f3583,f3712,f3781,f3791,f3792,f3825,f3826,f3833,f3846,f3853,f3860,f3865,f3873,f3884,f3891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG038+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/10.38 % Computer : n008.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 12:55:07 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.14/10.41 % Drodi V4.1.1
% 0.14/10.55 % Refutation found
% 0.14/10.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.58 % Elapsed time: 0.173573 seconds
% 0.14/10.58 % CPU time: 1.022612 seconds
% 0.14/10.58 % Total memory used: 141.689 MB
% 0.14/10.58 % Net memory used: 141.286 MB
%------------------------------------------------------------------------------