%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG108+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 : Fri Sep 25 12:53:28 PM UTC 2026
% Result : Theorem 4.37s 1.86s
% Output : CNFRefutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 59
% Syntax : Number of formulae : 762 ( 288 unt; 42 def)
% Number of atoms : 3552 (3033 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 4170 (1380 ~;1829 |; 961 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 44 ( 42 usr; 43 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(e23,e23),op2(e23,e23))
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(e23,e23)
& h4(e13) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| 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)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| 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)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| 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)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| 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(ennf_transformation,[],[f19]) ).
fof(f75,plain,
( ~ sP2
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f76,plain,
( ~ sP1
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f78,plain,
( ~ sP26
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f79,plain,
( ~ sP25
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f80,plain,
( ~ sP24
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f81,plain,
( ~ sP23
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f82,plain,
( ~ sP22
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f83,plain,
( ~ sP21
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f84,plain,
( ~ sP20
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f85,plain,
( ~ sP19
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f86,plain,
( ~ sP18
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f87,plain,
( ~ sP17
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f88,plain,
( ~ sP16
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f89,plain,
( ~ sP15
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f90,plain,
( ~ sP14
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f91,plain,
( ~ sP13
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f93,plain,
( ~ sP41
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f94,plain,
( ~ sP40
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f95,plain,
( ~ sP39
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f96,plain,
( ~ sP38
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f97,plain,
( ~ sP37
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f98,plain,
( ~ sP36
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f99,plain,
( ~ sP35
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f100,plain,
( ~ sP34
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f101,plain,
( ~ sP33
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f102,plain,
( ~ sP32
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f103,plain,
( ~ sP31
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f104,plain,
( ~ sP30
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f105,plain,
( ~ sP29
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f106,plain,
( ~ sP28
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f146,plain,
( ~ sP2
| e21 != h4(e11) ),
inference(cnf_transformation,[],[f75]) ).
fof(f149,plain,
( ~ sP1
| e22 != h4(e12) ),
inference(cnf_transformation,[],[f76]) ).
fof(f159,plain,
( sP0
| sP1
| sP2
| e20 != h4(e10)
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f172,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f173,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f174,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f175,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f176,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f177,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f194,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f195,plain,
e11 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f196,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f197,plain,
( ~ sP26
| e13 != op1(e11,e13) ),
inference(cnf_transformation,[],[f78]) ).
fof(f198,plain,
( ~ sP26
| e12 != op1(e11,e12) ),
inference(cnf_transformation,[],[f78]) ).
fof(f208,plain,
( ~ sP25
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f79]) ).
fof(f213,plain,
( ~ sP24
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f80]) ).
fof(f219,plain,
( ~ sP23
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f81]) ).
fof(f223,plain,
( ~ sP22
| e11 != op1(e11,e11) ),
inference(cnf_transformation,[],[f82]) ).
fof(f225,plain,
( ~ sP22
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f82]) ).
fof(f227,plain,
( ~ sP21
| e13 != op1(e12,e13) ),
inference(cnf_transformation,[],[f83]) ).
fof(f228,plain,
( ~ sP21
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f83]) ).
fof(f231,plain,
( ~ sP21
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f83]) ).
fof(f235,plain,
( ~ sP20
| e11 != op1(e13,e11) ),
inference(cnf_transformation,[],[f84]) ).
fof(f237,plain,
( ~ sP20
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f84]) ).
fof(f243,plain,
( ~ sP19
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f85]) ).
fof(f244,plain,
( ~ sP19
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f85]) ).
fof(f245,plain,
( ~ sP18
| e13 != op1(e11,e13) ),
inference(cnf_transformation,[],[f86]) ).
fof(f246,plain,
( ~ sP18
| e12 != op1(e11,e12) ),
inference(cnf_transformation,[],[f86]) ).
fof(f252,plain,
( ~ sP17
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f87]) ).
fof(f255,plain,
( ~ sP17
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f87]) ).
fof(f261,plain,
( ~ sP16
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f88]) ).
fof(f267,plain,
( ~ sP15
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f89]) ).
fof(f274,plain,
( ~ sP14
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f90]) ).
fof(f280,plain,
( ~ sP13
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f91]) ).
fof(f290,plain,
( sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f291,plain,
( sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f293,plain,
( op1(e13,e13) = op1(op1(e13,e13),e13)
| op1(e12,e13) = op1(op1(e12,e13),e12)
| op1(e11,e13) = op1(op1(e11,e13),e11)
| op1(e10,e13) = op1(op1(e10,e13),e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f294,plain,
( op1(e13,e12) = op1(op1(e13,e12),e13)
| op1(e12,e12) = op1(op1(e12,e12),e12)
| op1(e11,e12) = op1(op1(e11,e12),e11)
| op1(e10,e12) = op1(op1(e10,e12),e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f295,plain,
( op1(e13,e11) = op1(op1(e13,e11),e13)
| op1(e12,e11) = op1(op1(e12,e11),e12)
| op1(e11,e11) = op1(op1(e11,e11),e11)
| op1(e10,e11) = op1(op1(e10,e11),e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f296,plain,
( op1(e13,e10) = op1(op1(e13,e10),e13)
| op1(e12,e10) = op1(op1(e12,e10),e12)
| op1(e11,e10) = op1(op1(e11,e10),e11)
| op1(e10,e10) = op1(op1(e10,e10),e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f297,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f298,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f299,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f300,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f301,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f302,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f303,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f304,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f307,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f309,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f310,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f312,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f313,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f314,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f315,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f316,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f317,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f318,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f319,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f320,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f321,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f323,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f325,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f327,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f328,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f331,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f334,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f337,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f339,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f342,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f344,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f345,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f346,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f348,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f349,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f350,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f352,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f354,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f355,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f357,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f360,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f361,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f362,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f363,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f367,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f369,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f370,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f375,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f376,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f378,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f381,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f382,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f393,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f394,plain,
e21 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f395,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f396,plain,
( ~ sP41
| e23 != op2(e21,e23) ),
inference(cnf_transformation,[],[f93]) ).
fof(f399,plain,
( ~ sP41
| e20 != op2(e21,e20) ),
inference(cnf_transformation,[],[f93]) ).
fof(f400,plain,
( ~ sP41
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f93]) ).
fof(f407,plain,
( ~ sP40
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f94]) ).
fof(f412,plain,
( ~ sP39
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f95]) ).
fof(f418,plain,
( ~ sP38
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f96]) ).
fof(f422,plain,
( ~ sP37
| e21 != op2(e21,e21) ),
inference(cnf_transformation,[],[f97]) ).
fof(f424,plain,
( ~ sP37
| e21 = op2(e21,e21) ),
inference(cnf_transformation,[],[f97]) ).
fof(f427,plain,
( ~ sP36
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f98]) ).
fof(f430,plain,
( ~ sP36
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f98]) ).
fof(f431,plain,
( ~ sP36
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f98]) ).
fof(f434,plain,
( ~ sP35
| e21 != op2(e23,e21) ),
inference(cnf_transformation,[],[f99]) ).
fof(f436,plain,
( ~ sP35
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f99]) ).
fof(f442,plain,
( ~ sP34
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f100]) ).
fof(f443,plain,
( ~ sP34
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f100]) ).
fof(f444,plain,
( ~ sP33
| e23 != op2(e21,e23) ),
inference(cnf_transformation,[],[f101]) ).
fof(f445,plain,
( ~ sP33
| e22 != op2(e21,e22) ),
inference(cnf_transformation,[],[f101]) ).
fof(f447,plain,
( ~ sP33
| e20 != op2(e21,e20) ),
inference(cnf_transformation,[],[f101]) ).
fof(f449,plain,
( ~ sP33
| e21 = op2(e22,e22) ),
inference(cnf_transformation,[],[f101]) ).
fof(f451,plain,
( ~ sP32
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f102]) ).
fof(f454,plain,
( ~ sP32
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f102]) ).
fof(f460,plain,
( ~ sP31
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f103]) ).
fof(f466,plain,
( ~ sP30
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f104]) ).
fof(f473,plain,
( ~ sP29
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f105]) ).
fof(f479,plain,
( ~ sP28
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f106]) ).
fof(f489,plain,
( sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f490,plain,
( sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f492,plain,
( op2(e23,e23) = op2(op2(e23,e23),e23)
| op2(e22,e23) = op2(op2(e22,e23),e22)
| op2(e21,e23) = op2(op2(e21,e23),e21)
| op2(e20,e23) = op2(op2(e20,e23),e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f493,plain,
( op2(e23,e22) = op2(op2(e23,e22),e23)
| op2(e22,e22) = op2(op2(e22,e22),e22)
| op2(e21,e22) = op2(op2(e21,e22),e21)
| op2(e20,e22) = op2(op2(e20,e22),e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f494,plain,
( op2(e23,e21) = op2(op2(e23,e21),e23)
| op2(e22,e21) = op2(op2(e22,e21),e22)
| op2(e21,e21) = op2(op2(e21,e21),e21)
| op2(e20,e21) = op2(op2(e20,e21),e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f495,plain,
( op2(e23,e20) = op2(op2(e23,e20),e23)
| op2(e22,e20) = op2(op2(e22,e20),e22)
| op2(e21,e20) = op2(op2(e21,e20),e21)
| op2(e20,e20) = op2(op2(e20,e20),e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f496,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f497,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f498,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f499,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f500,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f501,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f502,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f503,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f504,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f505,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f506,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f507,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f508,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f510,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f511,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f512,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f513,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f514,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f515,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f516,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f520,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f521,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f523,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f524,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f525,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f526,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f527,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f528,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f530,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f531,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f532,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f535,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f536,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f537,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f538,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f539,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f540,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f541,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f542,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f543,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f544,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f545,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f547,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f548,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f549,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f550,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f551,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f553,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f554,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f555,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f557,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f558,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f559,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f560,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f561,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f562,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f563,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f564,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f565,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f566,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f567,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f568,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f569,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f570,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f571,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f572,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f573,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f574,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f575,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f580,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f581,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f583,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f585,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f586,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f587,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f588,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f589,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f590,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f592,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f595,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f598,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f599,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f600,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f602,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f604,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f606,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f607,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
fof(f608,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f610,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f611,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f612,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f613,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
tcf(c_86,plain,
( ~ sP2
| ( h4(e11) != e21 ) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_91,plain,
( ~ sP1
| ( h4(e12) != e22 ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_109,negated_conjecture,
( sP0
| sP1
| sP2
| ( h4(e10) != e20 )
| ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
| ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
| ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
| ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
| ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
| ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
| ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
| ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
| ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
| ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
| ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
| ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
| ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
| ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
| ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
| ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_113,plain,
e10 != e11,
inference(cnf_transformation,[],[f177]) ).
tcf(c_114,plain,
e10 != e12,
inference(cnf_transformation,[],[f176]) ).
tcf(c_115,plain,
e10 != e13,
inference(cnf_transformation,[],[f175]) ).
tcf(c_116,plain,
e11 != e12,
inference(cnf_transformation,[],[f174]) ).
tcf(c_117,plain,
e11 != e13,
inference(cnf_transformation,[],[f173]) ).
tcf(c_118,plain,
e12 != e13,
inference(cnf_transformation,[],[f172]) ).
tcf(c_135,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f196]) ).
tcf(c_136,plain,
op1(op1(e13,e13),op1(e13,e13)) = e11,
inference(cnf_transformation,[],[f195]) ).
tcf(c_137,plain,
op1(op1(e13,e13),e13) = e12,
inference(cnf_transformation,[],[f194]) ).
tcf(c_142,plain,
( ~ sP26
| ( op1(e11,e12) != e12 ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_143,plain,
( ~ sP26
| ( op1(e11,e13) != e13 ) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_144,plain,
( ( op1(e10,e10) = e12 )
| ~ sP25 ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_151,plain,
( ( op1(e10,e13) = e10 )
| ~ sP24 ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_157,plain,
( ( op1(e11,e10) = e11 )
| ~ sP23 ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_163,plain,
( ( op1(e11,e11) = e11 )
| ~ sP22 ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_165,plain,
( ~ sP22
| ( op1(e11,e11) != e11 ) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_169,plain,
( ( op1(e11,e12) = e11 )
| ~ sP21 ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_172,plain,
( ~ sP21
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_173,plain,
( ~ sP21
| ( op1(e12,e13) != e13 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_175,plain,
( ( op1(e11,e13) = e11 )
| ~ sP20 ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_177,plain,
( ~ sP20
| ( op1(e13,e11) != e11 ) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_180,plain,
( ( op1(e12,e12) = e10 )
| ~ sP19 ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_181,plain,
( ( op1(e12,e10) = e12 )
| ~ sP19 ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_190,plain,
( ~ sP18
| ( op1(e11,e12) != e12 ) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_191,plain,
( ~ sP18
| ( op1(e11,e13) != e13 ) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_193,plain,
( ( op1(e12,e12) = e12 )
| ~ sP17 ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_196,plain,
( ~ sP17
| ( op1(e12,e12) != e12 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_199,plain,
( ( op1(e12,e13) = e12 )
| ~ sP16 ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_205,plain,
( ( op1(e13,e10) = e13 )
| ~ sP15 ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_210,plain,
( ( op1(e13,e13) = e11 )
| ~ sP14 ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_216,plain,
( ( op1(e13,e13) = e12 )
| ~ sP13 ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_228,plain,
( ( op1(op1(e13,e10),e13) = op1(e13,e10) )
| ( op1(op1(e12,e10),e12) = op1(e12,e10) )
| ( op1(op1(e11,e10),e11) = op1(e11,e10) )
| ( op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_229,plain,
( ( op1(op1(e13,e11),e13) = op1(e13,e11) )
| ( op1(op1(e12,e11),e12) = op1(e12,e11) )
| ( op1(op1(e11,e11),e11) = op1(e11,e11) )
| ( op1(op1(e10,e11),e10) = op1(e10,e11) ) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_230,plain,
( ( op1(op1(e13,e12),e13) = op1(e13,e12) )
| ( op1(op1(e12,e12),e12) = op1(e12,e12) )
| ( op1(op1(e11,e12),e11) = op1(e11,e12) )
| ( op1(op1(e10,e12),e10) = op1(e10,e12) ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_231,plain,
( ( op1(op1(e13,e13),e13) = op1(e13,e13) )
| ( op1(op1(e12,e13),e12) = op1(e12,e13) )
| ( op1(op1(e11,e13),e11) = op1(e11,e13) )
| ( op1(op1(e10,e13),e10) = op1(e10,e13) ) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_233,plain,
( sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_234,plain,
( sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| ( op1(e10,e10) != e10 ) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_238,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f344]) ).
tcf(c_240,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f342]) ).
tcf(c_243,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f339]) ).
tcf(c_245,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f337]) ).
tcf(c_248,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f334]) ).
tcf(c_251,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f331]) ).
tcf(c_254,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f328]) ).
tcf(c_255,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f327]) ).
tcf(c_257,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f325]) ).
tcf(c_259,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f323]) ).
tcf(c_261,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f321]) ).
tcf(c_262,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f320]) ).
tcf(c_263,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f319]) ).
tcf(c_264,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f318]) ).
tcf(c_265,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f317]) ).
tcf(c_266,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f316]) ).
tcf(c_267,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f315]) ).
tcf(c_268,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f314]) ).
tcf(c_269,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f313]) ).
tcf(c_270,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f312]) ).
tcf(c_272,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f310]) ).
tcf(c_273,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f309]) ).
tcf(c_275,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f307]) ).
tcf(c_278,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f304]) ).
tcf(c_279,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f303]) ).
tcf(c_280,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f302]) ).
tcf(c_281,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f301]) ).
tcf(c_282,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f300]) ).
tcf(c_283,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f299]) ).
tcf(c_284,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f298]) ).
tcf(c_285,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f297]) ).
tcf(c_286,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_287,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_292,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_293,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_295,plain,
( ( op1(e13,e11) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_297,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_299,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_300,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_301,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e11,e11) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_302,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_303,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_305,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_307,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_308,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_310,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_312,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e10) = e11 ) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_313,plain,
( ( op1(e13,e13) = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 )
| ( op1(e10,e13) = e11 ) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_314,plain,
( ( op1(e13,e13) = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_316,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_317,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_328,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_329,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e12 )
| ( op1(e12,e13) = e11 )
| ( op1(e12,e13) = e10 ) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_332,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_334,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[],[f395]) ).
tcf(c_335,plain,
op2(op2(e23,e23),op2(e23,e23)) = e21,
inference(cnf_transformation,[],[f394]) ).
tcf(c_336,plain,
op2(op2(e23,e23),e23) = e22,
inference(cnf_transformation,[],[f393]) ).
tcf(c_338,plain,
( ( op2(e20,e21) = e20 )
| ~ sP41 ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_339,plain,
( ~ sP41
| ( op2(e21,e20) != e20 ) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_342,plain,
( ~ sP41
| ( op2(e21,e23) != e23 ) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_343,plain,
( ( op2(e20,e20) = e22 )
| ~ sP40 ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_350,plain,
( ( op2(e20,e23) = e20 )
| ~ sP39 ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_356,plain,
( ( op2(e21,e20) = e21 )
| ~ sP38 ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_362,plain,
( ( op2(e21,e21) = e21 )
| ~ sP37 ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_364,plain,
( ~ sP37
| ( op2(e21,e21) != e21 ) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_367,plain,
( ( op2(e21,e21) = e22 )
| ~ sP36 ),
inference(cnf_transformation,[],[f431]) ).
tcf(c_368,plain,
( ( op2(e21,e22) = e21 )
| ~ sP36 ),
inference(cnf_transformation,[],[f430]) ).
tcf(c_371,plain,
( ~ sP36
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_374,plain,
( ( op2(e21,e23) = e21 )
| ~ sP35 ),
inference(cnf_transformation,[],[f436]) ).
tcf(c_376,plain,
( ~ sP35
| ( op2(e23,e21) != e21 ) ),
inference(cnf_transformation,[],[f434]) ).
tcf(c_379,plain,
( ( op2(e22,e22) = e20 )
| ~ sP34 ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_380,plain,
( ( op2(e22,e20) = e22 )
| ~ sP34 ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_385,plain,
( ( op2(e22,e22) = e21 )
| ~ sP33 ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_387,plain,
( ~ sP33
| ( op2(e21,e20) != e20 ) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_389,plain,
( ~ sP33
| ( op2(e21,e22) != e22 ) ),
inference(cnf_transformation,[],[f445]) ).
tcf(c_390,plain,
( ~ sP33
| ( op2(e21,e23) != e23 ) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_392,plain,
( ( op2(e22,e22) = e22 )
| ~ sP32 ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_395,plain,
( ~ sP32
| ( op2(e22,e22) != e22 ) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_398,plain,
( ( op2(e22,e23) = e22 )
| ~ sP31 ),
inference(cnf_transformation,[],[f460]) ).
tcf(c_404,plain,
( ( op2(e23,e20) = e23 )
| ~ sP30 ),
inference(cnf_transformation,[],[f466]) ).
tcf(c_409,plain,
( ( op2(e23,e23) = e21 )
| ~ sP29 ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_415,plain,
( ( op2(e23,e23) = e22 )
| ~ sP28 ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_427,plain,
( ( op2(op2(e20,e20),e20) = op2(e20,e20) )
| ( op2(op2(e23,e20),e23) = op2(e23,e20) )
| ( op2(op2(e22,e20),e22) = op2(e22,e20) )
| ( op2(op2(e21,e20),e21) = op2(e21,e20) ) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_428,plain,
( ( op2(op2(e20,e21),e20) = op2(e20,e21) )
| ( op2(op2(e23,e21),e23) = op2(e23,e21) )
| ( op2(op2(e22,e21),e22) = op2(e22,e21) )
| ( op2(op2(e21,e21),e21) = op2(e21,e21) ) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_429,plain,
( ( op2(op2(e20,e22),e20) = op2(e20,e22) )
| ( op2(op2(e23,e22),e23) = op2(e23,e22) )
| ( op2(op2(e22,e22),e22) = op2(e22,e22) )
| ( op2(op2(e21,e22),e21) = op2(e21,e22) ) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_430,plain,
( ( op2(op2(e20,e23),e20) = op2(e20,e23) )
| ( op2(op2(e23,e23),e23) = op2(e23,e23) )
| ( op2(op2(e22,e23),e22) = op2(e22,e23) )
| ( op2(op2(e21,e23),e21) = op2(e21,e23) ) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_432,plain,
( sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_433,plain,
( sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| ( op2(e20,e20) != e20 ) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_437,plain,
e21 != e20,
inference(cnf_transformation,[],[f501]) ).
tcf(c_438,plain,
e22 != e20,
inference(cnf_transformation,[],[f500]) ).
tcf(c_439,plain,
e23 != e20,
inference(cnf_transformation,[],[f499]) ).
tcf(c_440,plain,
e21 != e22,
inference(cnf_transformation,[],[f498]) ).
tcf(c_441,plain,
e21 != e23,
inference(cnf_transformation,[],[f497]) ).
tcf(c_442,plain,
e22 != e23,
inference(cnf_transformation,[],[f496]) ).
tcf(c_443,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f549]) ).
tcf(c_444,plain,
op2(e22,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f548]) ).
tcf(c_445,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f547]) ).
tcf(c_447,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f545]) ).
tcf(c_448,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f544]) ).
tcf(c_449,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f543]) ).
tcf(c_450,plain,
op2(e22,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f542]) ).
tcf(c_451,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f541]) ).
tcf(c_452,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f540]) ).
tcf(c_453,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f539]) ).
tcf(c_454,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f538]) ).
tcf(c_455,plain,
op2(e21,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f537]) ).
tcf(c_456,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f536]) ).
tcf(c_457,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f535]) ).
tcf(c_460,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f532]) ).
tcf(c_461,plain,
op2(e21,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f531]) ).
tcf(c_462,plain,
op2(e22,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f530]) ).
tcf(c_464,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f528]) ).
tcf(c_465,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f527]) ).
tcf(c_466,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f526]) ).
tcf(c_467,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f525]) ).
tcf(c_468,plain,
op2(e20,e22) != op2(e20,e20),
inference(cnf_transformation,[],[f524]) ).
tcf(c_469,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f523]) ).
tcf(c_471,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f521]) ).
tcf(c_472,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f520]) ).
tcf(c_476,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f516]) ).
tcf(c_477,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f515]) ).
tcf(c_478,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f514]) ).
tcf(c_479,plain,
op2(e22,e21) != op2(e22,e20),
inference(cnf_transformation,[],[f513]) ).
tcf(c_480,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f512]) ).
tcf(c_481,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f511]) ).
tcf(c_482,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f510]) ).
tcf(c_484,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f508]) ).
tcf(c_485,plain,
op2(e23,e21) != op2(e23,e20),
inference(cnf_transformation,[],[f507]) ).
tcf(c_486,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f506]) ).
tcf(c_487,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f505]) ).
tcf(c_488,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f504]) ).
tcf(c_489,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f503]) ).
tcf(c_490,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f502]) ).
tcf(c_491,plain,
( ( op2(e20,e20) = e20 )
| ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f581]) ).
tcf(c_492,plain,
( ( op2(e20,e20) = e20 )
| ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e21,e20) = e20 ) ),
inference(cnf_transformation,[],[f580]) ).
tcf(c_497,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f575]) ).
tcf(c_498,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e21,e20) = e23 ) ),
inference(cnf_transformation,[],[f574]) ).
tcf(c_499,plain,
( ( op2(e21,e20) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f573]) ).
tcf(c_500,plain,
( ( op2(e20,e21) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f572]) ).
tcf(c_501,plain,
( ( op2(e21,e20) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 ) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_502,plain,
( ( op2(e20,e21) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e21,e21) = e21 ) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_503,plain,
( ( op2(e21,e20) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e21) = e22 ) ),
inference(cnf_transformation,[],[f569]) ).
tcf(c_504,plain,
( ( op2(e20,e21) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e22 ) ),
inference(cnf_transformation,[],[f568]) ).
tcf(c_505,plain,
( ( op2(e21,e20) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e21) = e23 ) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_506,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 ) ),
inference(cnf_transformation,[],[f566]) ).
tcf(c_507,plain,
( ( op2(e22,e20) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e21) = e20 ) ),
inference(cnf_transformation,[],[f565]) ).
tcf(c_508,plain,
( ( op2(e20,e22) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f564]) ).
tcf(c_509,plain,
( ( op2(e22,e20) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(cnf_transformation,[],[f563]) ).
tcf(c_510,plain,
( ( op2(e20,e22) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(cnf_transformation,[],[f562]) ).
tcf(c_511,plain,
( ( op2(e22,e20) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22 ) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_512,plain,
( ( op2(e20,e22) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(cnf_transformation,[],[f560]) ).
tcf(c_513,plain,
( ( op2(e22,e20) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 ) ),
inference(cnf_transformation,[],[f559]) ).
tcf(c_514,plain,
( ( op2(e20,e22) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 ) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_515,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e23,e23) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_517,plain,
( ( op2(e23,e20) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 ) ),
inference(cnf_transformation,[],[f555]) ).
tcf(c_518,plain,
( ( op2(e20,e23) = e21 )
| ( op2(e23,e23) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 ) ),
inference(cnf_transformation,[],[f554]) ).
tcf(c_519,plain,
( ( op2(e23,e20) = e22 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(cnf_transformation,[],[f553]) ).
tcf(c_521,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 ) ),
inference(cnf_transformation,[],[f551]) ).
tcf(c_522,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 ) ),
inference(cnf_transformation,[],[f550]) ).
tcf(c_525,plain,
( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f595]) ).
tcf(c_528,plain,
( ( op2(e21,e21) = e20 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 ) ),
inference(cnf_transformation,[],[f592]) ).
tcf(c_530,plain,
( ( op2(e21,e23) = e20 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 ) ),
inference(cnf_transformation,[],[f590]) ).
tcf(c_531,plain,
( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f589]) ).
tcf(c_532,plain,
( ( op2(e22,e21) = e20 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e21 ) ),
inference(cnf_transformation,[],[f588]) ).
tcf(c_533,plain,
( ( op2(e22,e22) = e20 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 ) ),
inference(cnf_transformation,[],[f587]) ).
tcf(c_534,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 ) ),
inference(cnf_transformation,[],[f586]) ).
tcf(c_535,plain,
( ( op2(e23,e20) = e20 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e21 ) ),
inference(cnf_transformation,[],[f585]) ).
tcf(c_537,plain,
( ( op2(e23,e22) = e20 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 ) ),
inference(cnf_transformation,[],[f583]) ).
tcf(c_540,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f600]) ).
tcf(c_541,plain,
op2(op2(e20,e20),op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f599]) ).
tcf(c_542,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f598]) ).
tcf(c_544,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f604]) ).
tcf(c_546,plain,
op2(op2(e21,e21),e21) = h2(e12),
inference(cnf_transformation,[],[f602]) ).
tcf(c_548,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f608]) ).
tcf(c_549,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f607]) ).
tcf(c_550,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f606]) ).
tcf(c_551,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f613]) ).
tcf(c_552,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f612]) ).
tcf(c_553,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f611]) ).
tcf(c_554,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f610]) ).
tcf(c_561,plain,
~ sP32,
inference(global_subsumption_just,[status(thm)],[c_392,c_392,c_395]) ).
tcf(c_565,plain,
~ sP37,
inference(global_subsumption_just,[status(thm)],[c_362,c_362,c_364]) ).
tcf(c_575,plain,
~ sP17,
inference(global_subsumption_just,[status(thm)],[c_193,c_193,c_196]) ).
tcf(c_579,plain,
~ sP22,
inference(global_subsumption_just,[status(thm)],[c_163,c_163,c_165]) ).
tcf(c_683,plain,
op2(e23,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_515,c_334]) ).
tcf(c_689,plain,
op1(e13,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_310,c_135]) ).
tcf(c_3071,plain,
h4(e10) = e20,
inference(light_normalisation,[status(thm)],[c_552,c_683]) ).
tcf(c_3074,plain,
( ( e22 = e20 )
| ~ sP28 ),
inference(light_normalisation,[status(thm)],[c_415,c_683]) ).
tcf(c_3075,plain,
~ sP28,
inference(forward_subsumption_resolution,[status(thm)],[c_3074,c_438]) ).
tcf(c_3078,plain,
( ( e21 = e20 )
| ~ sP29 ),
inference(light_normalisation,[status(thm)],[c_409,c_683]) ).
tcf(c_3079,plain,
~ sP29,
inference(forward_subsumption_resolution,[status(thm)],[c_3078,c_437]) ).
tcf(c_3097,plain,
( ( h3(e10) = e21 )
| ~ sP33 ),
inference(light_normalisation,[status(thm)],[c_385,c_548]) ).
tcf(c_3108,plain,
( ( h3(e10) = e20 )
| ~ sP34 ),
inference(light_normalisation,[status(thm)],[c_379,c_548]) ).
tcf(c_3130,plain,
( ( h2(e10) = e22 )
| ~ sP36 ),
inference(light_normalisation,[status(thm)],[c_367,c_544]) ).
tcf(c_3163,plain,
( ( h1(e10) = e22 )
| ~ sP40 ),
inference(light_normalisation,[status(thm)],[c_343,c_540]) ).
tcf(c_3181,plain,
op2(e20,e23) = e22,
inference(light_normalisation,[status(thm)],[c_336,c_683]) ).
tcf(c_3182,plain,
( ( e22 = e20 )
| ~ sP39 ),
inference(demodulation,[status(thm)],[c_350,c_3181]) ).
tcf(c_3183,plain,
~ sP39,
inference(forward_subsumption_resolution,[status(thm)],[c_3182,c_438]) ).
tcf(c_3188,plain,
( ( e10 = e12 )
| ~ sP13 ),
inference(light_normalisation,[status(thm)],[c_216,c_689]) ).
tcf(c_3189,plain,
~ sP13,
inference(forward_subsumption_resolution,[status(thm)],[c_3188,c_114]) ).
tcf(c_3194,plain,
( ( e10 = e11 )
| ~ sP14 ),
inference(light_normalisation,[status(thm)],[c_210,c_689]) ).
tcf(c_3195,plain,
~ sP14,
inference(forward_subsumption_resolution,[status(thm)],[c_3194,c_113]) ).
tcf(c_3272,plain,
op1(e10,e13) = e12,
inference(light_normalisation,[status(thm)],[c_137,c_689]) ).
tcf(c_3273,plain,
( ( e10 = e12 )
| ~ sP24 ),
inference(demodulation,[status(thm)],[c_151,c_3272]) ).
tcf(c_3274,plain,
~ sP24,
inference(forward_subsumption_resolution,[status(thm)],[c_3273,c_114]) ).
tcf(c_3386,plain,
h4(e12) = e22,
inference(light_normalisation,[status(thm)],[c_554,c_683,c_3181]) ).
tcf(c_3388,plain,
( ~ sP1
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_91,c_3386]) ).
tcf(c_3389,plain,
~ sP1,
inference(equality_resolution_simp,[status(thm)],[c_3388]) ).
tcf(c_3390,plain,
op2(h3(e10),e22) = h3(e12),
inference(light_normalisation,[status(thm)],[c_550,c_548]) ).
tcf(c_3391,plain,
op2(h2(e10),e21) = h2(e12),
inference(light_normalisation,[status(thm)],[c_546,c_544]) ).
tcf(c_3392,plain,
op2(h1(e10),e20) = h1(e12),
inference(light_normalisation,[status(thm)],[c_542,c_540]) ).
tcf(c_3393,plain,
op2(e23,e22) != e20,
inference(light_normalisation,[status(thm)],[c_490,c_683]) ).
tcf(c_3394,plain,
op2(e23,e21) != e20,
inference(light_normalisation,[status(thm)],[c_489,c_683]) ).
tcf(c_3395,plain,
op2(e23,e20) != e20,
inference(light_normalisation,[status(thm)],[c_487,c_683]) ).
tcf(c_3396,plain,
op2(e22,e23) != h3(e10),
inference(light_normalisation,[status(thm)],[c_484,c_548]) ).
tcf(c_3397,plain,
op2(e22,e21) != h3(e10),
inference(light_normalisation,[status(thm)],[c_482,c_548]) ).
tcf(c_3398,plain,
op2(e22,e20) != h3(e10),
inference(light_normalisation,[status(thm)],[c_480,c_548]) ).
tcf(c_3399,plain,
op2(e21,e23) != h2(e10),
inference(light_normalisation,[status(thm)],[c_477,c_544]) ).
tcf(c_3400,plain,
op2(e21,e22) != h2(e10),
inference(light_normalisation,[status(thm)],[c_476,c_544]) ).
tcf(c_3402,plain,
op2(e20,e22) != e22,
inference(light_normalisation,[status(thm)],[c_472,c_3181]) ).
tcf(c_3403,plain,
op2(e20,e21) != e22,
inference(light_normalisation,[status(thm)],[c_471,c_3181]) ).
tcf(c_3404,plain,
h1(e10) != e22,
inference(light_normalisation,[status(thm)],[c_469,c_540,c_3181]) ).
tcf(c_3405,plain,
~ sP40,
inference(backward_subsumption_resolution,[status(thm)],[c_3163,c_3404]) ).
tcf(c_3406,plain,
op2(e20,e22) != h1(e10),
inference(light_normalisation,[status(thm)],[c_468,c_540]) ).
tcf(c_3407,plain,
op2(e20,e21) != h1(e10),
inference(light_normalisation,[status(thm)],[c_467,c_540]) ).
tcf(c_3408,plain,
op2(e22,e23) != e20,
inference(light_normalisation,[status(thm)],[c_466,c_683]) ).
tcf(c_3409,plain,
op2(e21,e23) != e20,
inference(light_normalisation,[status(thm)],[c_465,c_683]) ).
tcf(c_3411,plain,
op2(e22,e23) != e22,
inference(light_normalisation,[status(thm)],[c_462,c_3181]) ).
tcf(c_3412,plain,
~ sP31,
inference(backward_subsumption_resolution,[status(thm)],[c_398,c_3411]) ).
tcf(c_3413,plain,
op2(e21,e23) != e22,
inference(light_normalisation,[status(thm)],[c_461,c_3181]) ).
tcf(c_3414,plain,
op2(e23,e22) != h3(e10),
inference(light_normalisation,[status(thm)],[c_460,c_548]) ).
tcf(c_3416,plain,
op2(e20,e22) != h3(e10),
inference(light_normalisation,[status(thm)],[c_456,c_548]) ).
tcf(c_3417,plain,
op2(e23,e21) != h2(e10),
inference(light_normalisation,[status(thm)],[c_453,c_544]) ).
tcf(c_3418,plain,
op2(e22,e21) != h2(e10),
inference(light_normalisation,[status(thm)],[c_452,c_544]) ).
tcf(c_3419,plain,
op2(e20,e21) != h2(e10),
inference(light_normalisation,[status(thm)],[c_449,c_544]) ).
tcf(c_3420,plain,
op2(e23,e20) != h1(e10),
inference(light_normalisation,[status(thm)],[c_445,c_540]) ).
tcf(c_3421,plain,
op2(e22,e20) != h1(e10),
inference(light_normalisation,[status(thm)],[c_444,c_540]) ).
tcf(c_3422,plain,
op2(e21,e20) != h1(e10),
inference(light_normalisation,[status(thm)],[c_443,c_540]) ).
tcf(c_3479,plain,
( ~ sP36
| ( h3(e10) != e22 ) ),
inference(light_normalisation,[status(thm)],[c_371,c_548]) ).
tcf(c_3525,plain,
op1(e13,e12) != e10,
inference(light_normalisation,[status(thm)],[c_285,c_689]) ).
tcf(c_3526,plain,
op1(e13,e11) != e10,
inference(light_normalisation,[status(thm)],[c_284,c_689]) ).
tcf(c_3527,plain,
op1(e13,e10) != e10,
inference(light_normalisation,[status(thm)],[c_282,c_689]) ).
tcf(c_3528,plain,
op1(e10,e12) != e12,
inference(light_normalisation,[status(thm)],[c_267,c_3272]) ).
tcf(c_3529,plain,
op1(e10,e11) != e12,
inference(light_normalisation,[status(thm)],[c_266,c_3272]) ).
tcf(c_3530,plain,
op1(e10,e10) != e12,
inference(light_normalisation,[status(thm)],[c_264,c_3272]) ).
tcf(c_3531,plain,
~ sP25,
inference(backward_subsumption_resolution,[status(thm)],[c_144,c_3530]) ).
tcf(c_3532,plain,
op1(e12,e13) != e10,
inference(light_normalisation,[status(thm)],[c_261,c_689]) ).
tcf(c_3535,plain,
op1(e12,e13) != e12,
inference(light_normalisation,[status(thm)],[c_257,c_3272]) ).
tcf(c_3536,plain,
~ sP16,
inference(backward_subsumption_resolution,[status(thm)],[c_199,c_3535]) ).
tcf(c_3622,plain,
h1(e10) = e21,
inference(light_normalisation,[status(thm)],[c_335,c_683,c_540]) ).
tcf(c_3626,plain,
op2(e21,e20) != e21,
inference(demodulation,[status(thm)],[c_3422,c_3622]) ).
tcf(c_3627,plain,
op2(e22,e20) != e21,
inference(demodulation,[status(thm)],[c_3421,c_3622]) ).
tcf(c_3628,plain,
op2(e23,e20) != e21,
inference(demodulation,[status(thm)],[c_3420,c_3622]) ).
tcf(c_3629,plain,
op2(e20,e21) != e21,
inference(demodulation,[status(thm)],[c_3407,c_3622]) ).
tcf(c_3630,plain,
op2(e20,e22) != e21,
inference(demodulation,[status(thm)],[c_3406,c_3622]) ).
tcf(c_3632,plain,
op2(e21,e20) = h1(e12),
inference(demodulation,[status(thm)],[c_3392,c_3622]) ).
tcf(c_3636,plain,
op2(e20,e20) = e21,
inference(demodulation,[status(thm)],[c_540,c_3622]) ).
tcf(c_3638,plain,
( ~ sP41
| ( h1(e12) != e20 ) ),
inference(demodulation,[status(thm)],[c_339,c_3632]) ).
tcf(c_3639,plain,
( ~ sP33
| ( h1(e12) != e20 ) ),
inference(demodulation,[status(thm)],[c_387,c_3632]) ).
tcf(c_3641,plain,
op2(e23,e20) != h1(e12),
inference(demodulation,[status(thm)],[c_447,c_3632]) ).
tcf(c_3645,plain,
( ( h1(e12) = e21 )
| ~ sP38 ),
inference(demodulation,[status(thm)],[c_356,c_3632]) ).
tcf(c_3658,plain,
h1(e12) != e21,
inference(light_normalisation,[status(thm)],[c_3626,c_3632]) ).
tcf(c_3659,plain,
~ sP38,
inference(backward_subsumption_resolution,[status(thm)],[c_3645,c_3658]) ).
tcf(c_3660,plain,
op1(e10,e10) = e11,
inference(light_normalisation,[status(thm)],[c_136,c_689]) ).
tcf(c_3664,plain,
op1(e11,e10) != e11,
inference(demodulation,[status(thm)],[c_238,c_3660]) ).
tcf(c_3666,plain,
op1(e13,e10) != e11,
inference(demodulation,[status(thm)],[c_240,c_3660]) ).
tcf(c_3667,plain,
op1(e10,e11) != e11,
inference(demodulation,[status(thm)],[c_262,c_3660]) ).
tcf(c_3668,plain,
op1(e10,e12) != e11,
inference(demodulation,[status(thm)],[c_263,c_3660]) ).
tcf(c_3671,plain,
~ sP23,
inference(backward_subsumption_resolution,[status(thm)],[c_157,c_3664]) ).
tcf(c_3672,plain,
h4(e11) = e21,
inference(light_normalisation,[status(thm)],[c_553,c_683,c_3636]) ).
tcf(c_3673,plain,
( ~ sP2
| ( e21 != e21 ) ),
inference(demodulation,[status(thm)],[c_86,c_3672]) ).
tcf(c_3674,plain,
~ sP2,
inference(equality_resolution_simp,[status(thm)],[c_3673]) ).
tcf(c_3675,plain,
op2(h3(e10),h3(e10)) = h3(e11),
inference(light_normalisation,[status(thm)],[c_549,c_548]) ).
tcf(c_3677,plain,
h1(e11) = h2(e10),
inference(light_normalisation,[status(thm)],[c_541,c_544,c_3636]) ).
tcf(c_3682,plain,
op2(e20,e21) != h1(e11),
inference(demodulation,[status(thm)],[c_3419,c_3677]) ).
tcf(c_3683,plain,
op2(e22,e21) != h1(e11),
inference(demodulation,[status(thm)],[c_3418,c_3677]) ).
tcf(c_3684,plain,
op2(e23,e21) != h1(e11),
inference(demodulation,[status(thm)],[c_3417,c_3677]) ).
tcf(c_3685,plain,
op2(e21,e22) != h1(e11),
inference(demodulation,[status(thm)],[c_3400,c_3677]) ).
tcf(c_3686,plain,
op2(e21,e23) != h1(e11),
inference(demodulation,[status(thm)],[c_3399,c_3677]) ).
tcf(c_3687,plain,
op2(h1(e11),e21) = h2(e12),
inference(demodulation,[status(thm)],[c_3391,c_3677]) ).
tcf(c_3690,plain,
( ( h1(e11) = e22 )
| ~ sP36 ),
inference(demodulation,[status(thm)],[c_3130,c_3677]) ).
tcf(c_3692,plain,
op2(e21,e21) = h1(e11),
inference(demodulation,[status(thm)],[c_544,c_3677]) ).
tcf(c_3755,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_537,c_3393]) ).
tcf(c_3775,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_535,c_3395,c_3628]) ).
tcf(c_3782,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_534,c_3408,c_3411]) ).
tcf(c_3789,plain,
( ( h3(e10) = e20 )
| ( h3(e10) = e23 )
| ( h3(e10) = e22 )
| ( h3(e10) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_533,c_548]) ).
tcf(c_3810,plain,
( ( op2(e22,e20) = e20 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_531,c_3627]) ).
tcf(c_3820,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_530,c_3409,c_3413]) ).
tcf(c_3835,plain,
( ( h1(e11) = e20 )
| ( h1(e11) = e23 )
| ( h1(e11) = e22 )
| ( h1(e11) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_528,c_3692]) ).
tcf(c_3859,plain,
( ( op2(e20,e22) = e20 )
| ( op2(e20,e22) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_525,c_3402,c_3630]) ).
tcf(c_3873,plain,
( ( e23 = e20 )
| ( e22 = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_522,c_683,c_3181]) ).
tcf(c_3874,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3873,c_439,c_442]) ).
tcf(c_3881,plain,
( ( e23 = e20 )
| ( op2(e23,e20) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_521,c_683]) ).
tcf(c_3882,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e23,e21) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3881,c_439]) ).
tcf(c_3892,plain,
( ( e22 = e20 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_519,c_683]) ).
tcf(c_3893,plain,
( ( op2(e23,e20) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3892,c_438]) ).
tcf(c_3903,plain,
( ( e21 = e20 )
| ( e21 = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_518,c_683,c_3181]) ).
tcf(c_3904,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e21,e23) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3903,c_437,c_440]) ).
tcf(c_3911,plain,
( ( e21 = e20 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_517,c_683]) ).
tcf(c_3912,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e23,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3911,c_437,c_3628]) ).
tcf(c_3919,plain,
( ( h3(e10) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e23,e22) = e23 )
| ( op2(e21,e22) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_514,c_548]) ).
tcf(c_3932,plain,
( ( h3(e10) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e21) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_513,c_548]) ).
tcf(c_3945,plain,
( ( h3(e10) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_512,c_548]) ).
tcf(c_3946,plain,
( ( h3(e10) = e22 )
| ( op2(e23,e22) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3945,c_3402]) ).
tcf(c_3956,plain,
( ( h3(e10) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_511,c_548]) ).
tcf(c_3957,plain,
( ( h3(e10) = e22 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3956,c_3411]) ).
tcf(c_3967,plain,
( ( h3(e10) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_510,c_548]) ).
tcf(c_3968,plain,
( ( h3(e10) = e21 )
| ( op2(e23,e22) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3967,c_3630]) ).
tcf(c_3978,plain,
( ( h3(e10) = e21 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_509,c_548]) ).
tcf(c_3979,plain,
( ( h3(e10) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3978,c_3627]) ).
tcf(c_3989,plain,
( ( h3(e10) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e21,e22) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_508,c_548]) ).
tcf(c_3990,plain,
( ( h3(e10) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e21,e22) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3989,c_3393]) ).
tcf(c_4000,plain,
( ( h3(e10) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e22,e21) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_507,c_548]) ).
tcf(c_4001,plain,
( ( h3(e10) = e20 )
| ( op2(e22,e20) = e20 )
| ( op2(e22,e21) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4000,c_3408]) ).
tcf(c_4011,plain,
( ( h1(e11) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_506,c_3692]) ).
tcf(c_4024,plain,
( ( h1(e12) = e23 )
| ( h1(e11) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_505,c_3632,c_3692]) ).
tcf(c_4037,plain,
( ( h1(e11) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_504,c_3692]) ).
tcf(c_4038,plain,
( ( h1(e11) = e22 )
| ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4037,c_3403]) ).
tcf(c_4048,plain,
( ( h1(e12) = e22 )
| ( h1(e11) = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_503,c_3632,c_3692]) ).
tcf(c_4049,plain,
( ( h1(e12) = e22 )
| ( h1(e11) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4048,c_3413]) ).
tcf(c_4059,plain,
( ( h1(e11) = e21 )
| ( op2(e20,e21) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_502,c_3692]) ).
tcf(c_4060,plain,
( ( h1(e11) = e21 )
| ( op2(e23,e21) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4059,c_3629]) ).
tcf(c_4070,plain,
( ( h1(e12) = e21 )
| ( h1(e11) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_501,c_3632,c_3692]) ).
tcf(c_4071,plain,
( ( h1(e11) = e21 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4070,c_3658]) ).
tcf(c_4081,plain,
( ( h1(e11) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e22,e21) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_500,c_3692]) ).
tcf(c_4082,plain,
( ( h1(e11) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e22,e21) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4081,c_3394]) ).
tcf(c_4092,plain,
( ( h1(e12) = e20 )
| ( h1(e11) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e21,e22) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_499,c_3632,c_3692]) ).
tcf(c_4093,plain,
( ( h1(e12) = e20 )
| ( h1(e11) = e20 )
| ( op2(e21,e22) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4092,c_3409]) ).
tcf(c_4103,plain,
( ( e21 = e23 )
| ( h1(e12) = e23 )
| ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_498,c_3632,c_3636]) ).
tcf(c_4104,plain,
( ( h1(e12) = e23 )
| ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4103,c_441]) ).
tcf(c_4114,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_497,c_3181,c_3636]) ).
tcf(c_4115,plain,
( ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4114,c_442,c_441]) ).
tcf(c_4133,plain,
( ( e21 = e20 )
| ( h1(e12) = e20 )
| ( op2(e23,e20) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_492,c_3632,c_3636]) ).
tcf(c_4134,plain,
( ( h1(e12) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4133,c_437,c_3395]) ).
tcf(c_4141,plain,
( ( e22 = e20 )
| ( e21 = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_491,c_3181,c_3636]) ).
tcf(c_4142,plain,
( ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4141,c_438,c_437]) ).
tcf(c_4149,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_332,c_3525]) ).
tcf(c_4176,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e13) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_329,c_3535,c_3532]) ).
tcf(c_4256,plain,
( ( e12 = e13 )
| ( e10 = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_317,c_689,c_3272]) ).
tcf(c_4257,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4256,c_118,c_115]) ).
tcf(c_4264,plain,
( ( e10 = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_316,c_689]) ).
tcf(c_4265,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4264,c_115]) ).
tcf(c_4275,plain,
( ( e10 = e12 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_314,c_689]) ).
tcf(c_4276,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e10) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4275,c_114]) ).
tcf(c_4286,plain,
( ( e11 = e12 )
| ( e10 = e11 )
| ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_313,c_689,c_3272]) ).
tcf(c_4287,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e11,e13) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4286,c_116,c_113]) ).
tcf(c_4294,plain,
( ( e10 = e11 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e10) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_312,c_689]) ).
tcf(c_4295,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e13,e11) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4294,c_113,c_3666]) ).
tcf(c_4318,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_307,c_3528]) ).
tcf(c_4338,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_305,c_3668]) ).
tcf(c_4358,plain,
( ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303,c_3525]) ).
tcf(c_4368,plain,
( ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_302,c_3532]) ).
tcf(c_4394,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_299,c_3529]) ).
tcf(c_4414,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_297,c_3667]) ).
tcf(c_4434,plain,
( ( op1(e12,e11) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295,c_3526]) ).
tcf(c_4454,plain,
( ( e11 = e13 )
| ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_293,c_3660]) ).
tcf(c_4455,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4454,c_117]) ).
tcf(c_4465,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_292,c_3272,c_3660]) ).
tcf(c_4466,plain,
( ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4465,c_118,c_117]) ).
tcf(c_4484,plain,
( ( e10 = e11 )
| ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_287,c_3660]) ).
tcf(c_4485,plain,
( ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4484,c_113,c_3527]) ).
tcf(c_4492,plain,
( ( e10 = e12 )
| ( e10 = e11 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_286,c_3272,c_3660]) ).
tcf(c_4493,plain,
( ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4492,c_114,c_113]) ).
tcf(c_4500,plain,
( ( e22 = e20 )
| ( op2(e22,e20) = e22 )
| ( op2(op2(e22,e23),e22) = op2(e22,e23) )
| ( op2(op2(e21,e23),e21) = op2(e21,e23) ) ),
inference(light_normalisation,[status(thm)],[c_430,c_683,c_3181]) ).
tcf(c_4501,plain,
( ( op2(e22,e20) = e22 )
| ( op2(op2(e22,e23),e22) = op2(e22,e23) )
| ( op2(op2(e21,e23),e21) = op2(e21,e23) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4500,c_438]) ).
tcf(c_4511,plain,
( ( h3(e10) = h3(e12) )
| ( op2(op2(e20,e22),e20) = op2(e20,e22) )
| ( op2(op2(e23,e22),e23) = op2(e23,e22) )
| ( op2(op2(e21,e22),e21) = op2(e21,e22) ) ),
inference(light_normalisation,[status(thm)],[c_429,c_548,c_3390]) ).
tcf(c_4524,plain,
( ( h1(e11) = h2(e12) )
| ( op2(op2(e20,e21),e20) = op2(e20,e21) )
| ( op2(op2(e23,e21),e23) = op2(e23,e21) )
| ( op2(op2(e22,e21),e22) = op2(e22,e21) ) ),
inference(light_normalisation,[status(thm)],[c_428,c_3687,c_3692]) ).
tcf(c_4537,plain,
( ( h1(e12) = e21 )
| ( op2(h1(e12),e21) = h1(e12) )
| ( op2(op2(e23,e20),e23) = op2(e23,e20) )
| ( op2(op2(e22,e20),e22) = op2(e22,e20) ) ),
inference(light_normalisation,[status(thm)],[c_427,c_3632,c_3636]) ).
tcf(c_4538,plain,
( ( op2(h1(e12),e21) = h1(e12) )
| ( op2(op2(e23,e20),e23) = op2(e23,e20) )
| ( op2(op2(e22,e20),e22) = op2(e22,e20) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4537,c_3658]) ).
tcf(c_4548,plain,
( ( e10 = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(op1(e12,e13),e12) = op1(e12,e13) )
| ( op1(op1(e11,e13),e11) = op1(e11,e13) ) ),
inference(light_normalisation,[status(thm)],[c_231,c_689,c_3272]) ).
tcf(c_4549,plain,
( ( op1(e12,e10) = e12 )
| ( op1(op1(e12,e13),e12) = op1(e12,e13) )
| ( op1(op1(e11,e13),e11) = op1(e11,e13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4548,c_114]) ).
tcf(c_4575,plain,
( ( op1(e11,e10) = e11 )
| ( op1(op1(e13,e10),e13) = op1(e13,e10) )
| ( op1(op1(e12,e10),e12) = op1(e12,e10) )
| ( op1(op1(e11,e10),e11) = op1(e11,e10) ) ),
inference(light_normalisation,[status(thm)],[c_228,c_3660]) ).
tcf(c_4576,plain,
( ( op1(op1(e13,e10),e13) = op1(e13,e10) )
| ( op1(op1(e12,e10),e12) = op1(e12,e10) )
| ( op1(op1(e11,e10),e11) = op1(e11,e10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4575,c_3664]) ).
fof(f21,definition,
( ~ sP0
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ~ sP3
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ~ sP4
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP5
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP6
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ~ sP7
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ~ sP8
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP9
| ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP10
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP11
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,plain,
( ( sP0
| sP1
| sP2
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| 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)) )
& ( sP3
| sP4
| sP5
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| 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)) )
& ( sP6
| sP7
| sP8
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| 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)) )
& ( sP9
| sP10
| sP11
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| 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(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f34,definition,
( ~ sP12
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP13
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP14
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP15
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP16
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP17
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP18
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ~ sP19
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ~ sP20
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ~ sP21
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ~ sP22
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ~ sP23
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ~ sP24
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 ) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ~ sP25
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ~ sP26
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f49,plain,
( ( sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| sP24
| sP25
| sP26
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
inference(definition_folding,[],[f10,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f50,definition,
( ~ sP27
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ~ sP28
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ~ sP29
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ~ sP30
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ~ sP31
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ~ sP32
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ~ sP33
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ~ sP34
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ~ sP35
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ~ sP36
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ~ sP37
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ~ sP38
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ~ sP39
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 ) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ~ sP40
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 ) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ~ sP41
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 ) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f65,plain,
( ( sP27
| sP28
| sP29
| sP30
| sP31
| sP32
| sP33
| sP34
| sP35
| sP36
| sP37
| sP38
| sP39
| sP40
| sP41
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
inference(definition_folding,[],[f11,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f77,plain,
( ~ sP0
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f92,plain,
( ~ sP12
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f107,plain,
( ~ sP27
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f152,plain,
( ~ sP0
| e23 != h4(e13) ),
inference(cnf_transformation,[],[f77]) ).
fof(f281,plain,
( ~ sP12
| e13 != op1(e13,e13) ),
inference(cnf_transformation,[],[f92]) ).
fof(f285,plain,
( ~ sP12
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f92]) ).
fof(f480,plain,
( ~ sP27
| e23 != op2(e23,e23) ),
inference(cnf_transformation,[],[f107]) ).
fof(f484,plain,
( ~ sP27
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_96,plain,
( ~ sP0
| ( h4(e13) != e23 ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_223,plain,
( ( op1(e13,e13) = e13 )
| ~ sP12 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_227,plain,
( ~ sP12
| ( op1(e13,e13) != e13 ) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_422,plain,
( ( op2(e23,e23) = e23 )
| ~ sP27 ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_426,plain,
( ~ sP27
| ( op2(e23,e23) != e23 ) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_555,plain,
~ sP27,
inference(global_subsumption_just,[status(thm)],[c_422,c_422,c_426]) ).
tcf(c_569,plain,
~ sP12,
inference(global_subsumption_just,[status(thm)],[c_223,c_223,c_227]) ).
tcf(c_655,plain,
( sP33
| sP34
| sP35
| sP36
| sP41
| sP40
| sP39
| sP38
| sP31
| sP30
| sP29
| sP28 ),
inference(global_subsumption_just,[status(thm)],[c_432,c_432,c_433,c_555,c_561,c_565]) ).
tcf(c_656,plain,
( sP28
| sP29
| sP30
| sP31
| sP33
| sP34
| sP35
| sP36
| sP38
| sP39
| sP40
| sP41 ),
inference(renaming,[status(thm)],[c_655]) ).
tcf(c_659,plain,
( sP18
| sP19
| sP20
| sP21
| sP26
| sP25
| sP24
| sP23
| sP16
| sP15
| sP14
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_233,c_233,c_234,c_569,c_575,c_579]) ).
tcf(c_660,plain,
( sP13
| sP14
| sP15
| sP16
| sP18
| sP19
| sP20
| sP21
| sP23
| sP24
| sP25
| sP26 ),
inference(renaming,[status(thm)],[c_659]) ).
tcf(c_669,plain,
( sP33
| sP34
| sP35
| sP36
| sP41
| sP40
| sP39
| sP38
| sP31
| sP30
| sP29
| sP28 ),
inference(global_subsumption_just,[status(thm)],[c_433,c_656]) ).
tcf(c_670,plain,
( sP28
| sP29
| sP30
| sP31
| sP33
| sP34
| sP35
| sP36
| sP38
| sP39
| sP40
| sP41 ),
inference(renaming,[status(thm)],[c_669]) ).
tcf(c_677,plain,
( sP18
| sP19
| sP20
| sP21
| sP26
| sP25
| sP24
| sP23
| sP16
| sP15
| sP14
| sP13 ),
inference(global_subsumption_just,[status(thm)],[c_234,c_660]) ).
tcf(c_678,plain,
( sP13
| sP14
| sP15
| sP16
| sP18
| sP19
| sP20
| sP21
| sP23
| sP24
| sP25
| sP26 ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_697,plain,
( ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) )
| ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
| ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
| ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
| ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
| ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
| ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
| ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
| ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
| ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
| ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
| ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
| ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
| ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
| ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
| ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
| ( h4(e10) != e20 )
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_109,c_551,c_96,c_109]) ).
tcf(c_698,negated_conjecture,
( sP1
| sP2
| ( h4(e10) != e20 )
| ( op2(h4(e13),h4(e13)) != h4(op1(e13,e13)) )
| ( op2(h4(e13),h4(e12)) != h4(op1(e13,e12)) )
| ( op2(h4(e13),h4(e11)) != h4(op1(e13,e11)) )
| ( op2(h4(e13),h4(e10)) != h4(op1(e13,e10)) )
| ( op2(h4(e12),h4(e13)) != h4(op1(e12,e13)) )
| ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12)) )
| ( op2(h4(e12),h4(e11)) != h4(op1(e12,e11)) )
| ( op2(h4(e12),h4(e10)) != h4(op1(e12,e10)) )
| ( op2(h4(e11),h4(e13)) != h4(op1(e11,e13)) )
| ( op2(h4(e11),h4(e12)) != h4(op1(e11,e12)) )
| ( op2(h4(e11),h4(e11)) != h4(op1(e11,e11)) )
| ( op2(h4(e11),h4(e10)) != h4(op1(e11,e10)) )
| ( op2(h4(e10),h4(e13)) != h4(op1(e10,e13)) )
| ( op2(h4(e10),h4(e12)) != h4(op1(e10,e12)) )
| ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11)) )
| ( op2(h4(e10),h4(e10)) != h4(op1(e10,e10)) ) ),
inference(renaming,[status(thm)],[c_697]) ).
tcf(c_3717,plain,
( sP15
| sP18
| sP19
| sP20
| sP21
| sP26 ),
inference(forward_subsumption_resolution,[status(thm)],[c_678,c_3189,c_3195,c_3536,c_3671,c_3274,c_3531]) ).
tcf(c_3736,plain,
( sP30
| sP33
| sP34
| sP35
| sP36
| sP41 ),
inference(forward_subsumption_resolution,[status(thm)],[c_670,c_3075,c_3079,c_3412,c_3659,c_3183,c_3405]) ).
tcf(c_4938,plain,
( sP1
| sP2
| ( e20 != e20 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( h4(e10) != e20 )
| ( h4(op1(e13,e12)) != op2(e23,e22) )
| ( h4(op1(e13,e11)) != op2(e23,e21) )
| ( h4(op1(e13,e10)) != op2(e23,e20) )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e10) )
| ( h4(op1(e12,e11)) != op2(e22,e21) )
| ( h4(op1(e12,e10)) != op2(e22,e20) )
| ( h4(op1(e11,e13)) != op2(e21,e23) )
| ( h4(op1(e11,e12)) != op2(e21,e22) )
| ( h4(op1(e11,e11)) != h1(e11) )
| ( h4(op1(e11,e10)) != h1(e12) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) ) ),
inference(light_normalisation,[status(thm)],[c_698,c_689,c_683,c_548,c_551,c_3071,c_3181,c_3272,c_3386,c_3632,c_3636,c_3660,c_3672,c_3692]) ).
tcf(c_4939,plain,
( sP1
| sP2
| ( h4(e10) != e20 )
| ( h4(op1(e13,e12)) != op2(e23,e22) )
| ( h4(op1(e13,e11)) != op2(e23,e21) )
| ( h4(op1(e13,e10)) != op2(e23,e20) )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e10) )
| ( h4(op1(e12,e11)) != op2(e22,e21) )
| ( h4(op1(e12,e10)) != op2(e22,e20) )
| ( h4(op1(e11,e13)) != op2(e21,e23) )
| ( h4(op1(e11,e12)) != op2(e21,e22) )
| ( h4(op1(e11,e11)) != h1(e11) )
| ( h4(op1(e11,e10)) != h1(e12) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) ) ),
inference(equality_resolution_simp,[status(thm)],[c_4938]) ).
tcf(c_4940,plain,
( sP1
| sP2
| ( e20 != e20 )
| ( h4(op1(e13,e12)) != op2(e23,e22) )
| ( h4(op1(e13,e11)) != op2(e23,e21) )
| ( h4(op1(e13,e10)) != op2(e23,e20) )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e10) )
| ( h4(op1(e12,e11)) != op2(e22,e21) )
| ( h4(op1(e12,e10)) != op2(e22,e20) )
| ( h4(op1(e11,e13)) != op2(e21,e23) )
| ( h4(op1(e11,e12)) != op2(e21,e22) )
| ( h4(op1(e11,e11)) != h1(e11) )
| ( h4(op1(e11,e10)) != h1(e12) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) ) ),
inference(demodulation,[status(thm)],[c_4939,c_3071]) ).
tcf(c_4941,plain,
( sP1
| sP2
| ( h4(op1(e13,e12)) != op2(e23,e22) )
| ( h4(op1(e13,e11)) != op2(e23,e21) )
| ( h4(op1(e13,e10)) != op2(e23,e20) )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e10) )
| ( h4(op1(e12,e11)) != op2(e22,e21) )
| ( h4(op1(e12,e10)) != op2(e22,e20) )
| ( h4(op1(e11,e13)) != op2(e21,e23) )
| ( h4(op1(e11,e12)) != op2(e21,e22) )
| ( h4(op1(e11,e11)) != h1(e11) )
| ( h4(op1(e11,e10)) != h1(e12) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) ) ),
inference(equality_resolution_simp,[status(thm)],[c_4940]) ).
tcf(c_4942,plain,
( ( h4(op1(e13,e12)) != op2(e23,e22) )
| ( h4(op1(e13,e11)) != op2(e23,e21) )
| ( h4(op1(e13,e10)) != op2(e23,e20) )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e10) )
| ( h4(op1(e12,e11)) != op2(e22,e21) )
| ( h4(op1(e12,e10)) != op2(e22,e20) )
| ( h4(op1(e11,e13)) != op2(e21,e23) )
| ( h4(op1(e11,e12)) != op2(e21,e22) )
| ( h4(op1(e11,e11)) != h1(e11) )
| ( h4(op1(e11,e10)) != h1(e12) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4941,c_3389,c_3674]) ).
tcf(c_4996,plain,
( sP18
| sP19
| sP20
| sP21
| sP26
| ( op1(e13,e10) = e13 ) ),
inference(resolution,[status(thm)],[c_3717,c_205]) ).
tcf(c_5021,plain,
( sP33
| sP34
| sP35
| sP36
| sP41
| ( op2(e23,e20) = e23 ) ),
inference(resolution,[status(thm)],[c_3736,c_404]) ).
tcf(c_14875,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_5021,c_4996,c_4942,c_4576,c_4549,c_4538,c_4524,c_4511,c_4501,c_4493,c_4485,c_4466,c_4455,c_4434,c_4414,c_4394,c_4368,c_4358,c_4338,c_4318,c_4295,c_4287,c_4276,c_4265,c_4257,c_4176,c_4149,c_4142,c_4134,c_4115,c_4104,c_4093,c_4082,c_4071,c_4060,c_4049,c_4038,c_4024,c_4011,c_4001,c_3990,c_3979,c_3968,c_3957,c_3946,c_3932,c_3919,c_3912,c_3904,c_3893,c_3882,c_3874,c_3859,c_3835,c_3820,c_3810,c_3789,c_3782,c_3775,c_3755,c_3692,c_3690,c_3687,c_3686,c_3685,c_3684,c_3683,c_3682,c_3675,c_3672,c_3660,c_3641,c_3639,c_3638,c_3636,c_3630,c_3479,c_3416,c_3414,c_3411,c_3398,c_3397,c_3396,c_3390,c_3386,c_3108,c_3097,c_3071,c_551,c_548,c_532,c_488,c_486,c_485,c_481,c_479,c_478,c_464,c_457,c_455,c_454,c_451,c_450,c_448,c_442,c_441,c_440,c_439,c_438,c_437,c_390,c_389,c_380,c_376,c_374,c_368,c_342,c_338,c_334,c_328,c_308,c_301,c_300,c_283,c_281,c_280,c_279,c_278,c_275,c_273,c_272,c_270,c_269,c_268,c_265,c_259,c_255,c_254,c_251,c_248,c_245,c_243,c_230,c_229,c_191,c_190,c_181,c_180,c_177,c_175,c_173,c_172,c_169,c_143,c_142,c_135,c_118,c_117,c_116,c_115,c_114,c_113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG108+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.58 % Computer : n017.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Fri Sep 25 04:43:02 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.63 Running first-order theorem proving
% 0.15/0.63 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.64
% 0.15/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.64
% 0.15/0.64 % Detected problem language: tptp
% 0.15/0.65 % Proving...
% 4.37/1.86 % SZS status Started for theBenchmark.p
% 4.37/1.86 % SZS status Theorem for theBenchmark.p
% 4.37/1.86
% 4.37/1.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.37/1.86
% 4.37/1.86 % ------ iProver source info
% 4.37/1.86
% 4.37/1.86 % git: date: 2026-07-19 20:42:38 +0200
% 4.37/1.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.37/1.86 % git: non_committed_changes: false
% 4.37/1.86
% 4.37/1.86 % ------ Parsing...
% 4.37/1.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.37/1.86
% 4.37/1.86 % ------ Preprocessing... sup_sim: 318 sf_s rm: 24 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.37/1.86
% 4.37/1.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.37/1.86
% 4.37/1.86 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.37/1.86 % ------ Proving...
% 4.37/1.86 % ------ Problem Properties
% 4.37/1.86
% 4.37/1.86 %
% 4.37/1.86 % clauses 300
% 4.37/1.86 % conjectures 0
% 4.37/1.86 % EPR 28
% 4.37/1.86 % Horn 205
% 4.37/1.86 % unary 142
% 4.37/1.86 % binary 84
% 4.37/1.86 % lits 658
% 4.37/1.86 % lits eq 572
% 4.37/1.86 % fd_pure 0
% 4.37/1.86 % fd_pseudo 0
% 4.37/1.86 % fd_cond 0
% 4.37/1.86 % fd_pseudo_cond 0
% 4.37/1.86 % AC symbols 0
% 4.37/1.86
% 4.37/1.86 % ------ Schedule dynamic 5 is on
% 4.37/1.86
% 4.37/1.86 % ------ no conjectures: strip conj schedule
% 4.37/1.86
% 4.37/1.86 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.37/1.86
% 4.37/1.86
% 4.37/1.86 % ------
% 4.37/1.86 % Current options:
% 4.37/1.86 % ------
% 4.37/1.86
% 4.37/1.86
% 4.37/1.86 %
% 4.37/1.86
% 4.37/1.86 % ------ Proving...
% 4.37/1.86 %
% 4.37/1.86
% 4.37/1.86 % SZS status Theorem for theBenchmark.p
% 4.37/1.86
% 4.37/1.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.37/1.86
% 4.37/1.86
%------------------------------------------------------------------------------