%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG125+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 : n015.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 12:53:31 PM UTC 2026
% Result : Theorem 2.49s 1.97s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 67
% Syntax : Number of formulae : 512 ( 224 unt; 50 def)
% Number of atoms : 2478 (2272 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 2866 ( 964 ~;1293 |; 609 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 52 ( 50 usr; 51 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,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13)))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),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(f42,plain,
( ~ sP2
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f43,plain,
( ~ sP1
| ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f45,plain,
( ~ sP5
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f46,plain,
( ~ sP4
| ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f57,plain,
( ~ sP8
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f58,plain,
( ~ sP7
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f60,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f101,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f134,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f169,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f170,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f177,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f178,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f203,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f216,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f217,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f218,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f220,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f223,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f228,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f232,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f233,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f236,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f237,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f240,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f242,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f243,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f246,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f248,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f249,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f253,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f254,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f255,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f256,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f259,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f260,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f261,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f262,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f263,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f281,plain,
( ~ sP2
| op1(e11,e12) != op1(e12,op1(e11,e12)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f283,plain,
( ~ sP2
| op1(e11,e10) != op1(e10,op1(e11,e10)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f285,plain,
( ~ sP1
| op1(e12,e12) != op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f286,plain,
( ~ sP1
| op1(e12,e11) != op1(e11,op1(e12,e11)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f287,plain,
( ~ sP1
| op1(e12,e10) != op1(e10,op1(e12,e10)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f294,plain,
( e13 = op1(e13,e11)
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f24]) ).
fof(f298,plain,
( e12 = op1(e12,e11)
| e11 != op1(e12,e12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f299,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ),
inference(cnf_transformation,[],[f24]) ).
fof(f303,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f24]) ).
fof(f308,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f24]) ).
fof(f310,plain,
( sP0
| sP1
| sP2
| op1(e10,e12) != op1(e12,op1(e10,e12)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f312,plain,
( sP0
| sP1
| sP2
| op1(e10,e10) != op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f314,plain,
( ~ sP5
| op2(e21,e22) != op2(e22,op2(e21,e22)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f316,plain,
( ~ sP5
| op2(e21,e20) != op2(e20,op2(e21,e20)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f318,plain,
( ~ sP4
| op2(e22,e22) != op2(e22,op2(e22,e22)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f319,plain,
( ~ sP4
| op2(e22,e21) != op2(e21,op2(e22,e21)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f320,plain,
( ~ sP4
| op2(e22,e20) != op2(e20,op2(e22,e20)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f327,plain,
( e23 = op2(e23,e21)
| e21 != op2(e23,e23) ),
inference(cnf_transformation,[],[f28]) ).
fof(f332,plain,
( e22 = op2(e22,e20)
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f28]) ).
fof(f336,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f28]) ).
fof(f341,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f28]) ).
fof(f343,plain,
( sP3
| sP4
| sP5
| op2(e20,e22) != op2(e22,op2(e20,e22)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f345,plain,
( sP3
| sP4
| sP5
| op2(e20,e20) != op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f346,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(cnf_transformation,[],[f12]) ).
fof(f347,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f348,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f349,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[],[f13]) ).
fof(f350,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f351,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f353,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f357,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f361,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f364,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f365,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f366,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f367,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f406,plain,
( ~ sP8
| e21 != h4(e11) ),
inference(cnf_transformation,[],[f57]) ).
fof(f409,plain,
( ~ sP7
| e22 != h4(e12) ),
inference(cnf_transformation,[],[f58]) ).
fof(f419,plain,
( sP6
| sP7
| sP8
| 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,[],[f41]) ).
tcf(c_49,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e12 )
| ( op1(e10,e10) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_55,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 )
| ( op1(e11,e12) = e11 )
| ( op1(e11,e12) = e10 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_56,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 )
| ( op1(e11,e13) = e11 )
| ( op1(e11,e13) = e10 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_59,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e12) = e10 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_62,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e11) = e12 )
| ( op1(e13,e11) = e11 )
| ( op1(e13,e11) = e10 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_64,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12 )
| ( op1(e13,e13) = e11 )
| ( op1(e13,e13) = e10 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_66,plain,
( ( op1(e13,e10) = e10 )
| ( op1(e12,e10) = e10 )
| ( op1(e11,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_67,plain,
( ( op1(e10,e13) = e11 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e11) = e11 )
| ( op1(e10,e10) = e11 ) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_71,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e11) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_72,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e11,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_76,plain,
( ( op1(e13,e11) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_78,plain,
( ( op1(e13,e11) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e11,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_83,plain,
( ( op1(e12,e13) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e10) = e11 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_84,plain,
( ( op1(e13,e12) = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_85,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e10) = e12 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_86,plain,
( ( op1(e13,e12) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_87,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e11) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_88,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_89,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e13,e12) = e10 )
| ( op1(e13,e11) = e10 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_90,plain,
( ( op1(e13,e13) = e10 )
| ( op1(e12,e13) = e10 )
| ( op1(e11,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_96,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_99,plain,
( ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e22) = e20 ) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_100,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_103,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e22) = e20 ) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_110,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e21) = e22 )
| ( op2(e23,e21) = e21 )
| ( op2(e23,e21) = e20 ) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_112,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22 )
| ( op2(e23,e23) = e21 )
| ( op2(e23,e23) = e20 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_113,plain,
( ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_115,plain,
( ( op2(e20,e23) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e20) = e21 ) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_117,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e20) = e22 ) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_119,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_120,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_125,plain,
( ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e20) = e22 ) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_126,plain,
( ( op2(e23,e21) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e21,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_127,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e21,e20) = e23 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_129,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e22) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_131,plain,
( ( op2(e22,e23) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_132,plain,
( ( op2(e23,e22) = e21 )
| ( op2(e22,e22) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_134,plain,
( ( op2(e23,e22) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_135,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_137,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e23,e22) = e20 )
| ( op2(e23,e21) = e20 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_138,plain,
( ( op2(e23,e23) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_144,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_145,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f203]) ).
tcf(c_146,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f202]) ).
tcf(c_147,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f201]) ).
tcf(c_148,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f200]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f198]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f195]) ).
tcf(c_156,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f192]) ).
tcf(c_157,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f191]) ).
tcf(c_163,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f185]) ).
tcf(c_165,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f183]) ).
tcf(c_167,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f181]) ).
tcf(c_168,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f180]) ).
tcf(c_170,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f178]) ).
tcf(c_171,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f177]) ).
tcf(c_174,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f174]) ).
tcf(c_176,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f172]) ).
tcf(c_178,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f170]) ).
tcf(c_179,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f169]) ).
tcf(c_182,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f166]) ).
tcf(c_183,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f165]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f164]) ).
tcf(c_193,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f251]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f249]) ).
tcf(c_196,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f248]) ).
tcf(c_198,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f246]) ).
tcf(c_199,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f245]) ).
tcf(c_201,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f243]) ).
tcf(c_202,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f242]) ).
tcf(c_204,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f240]) ).
tcf(c_205,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f239]) ).
tcf(c_206,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f238]) ).
tcf(c_207,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f237]) ).
tcf(c_208,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f236]) ).
tcf(c_211,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f233]) ).
tcf(c_212,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f232]) ).
tcf(c_213,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f231]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f228]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f225]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f223]) ).
tcf(c_224,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f220]) ).
tcf(c_226,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f218]) ).
tcf(c_227,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f217]) ).
tcf(c_228,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f216]) ).
tcf(c_241,plain,
e10 != e11,
inference(cnf_transformation,[],[f257]) ).
tcf(c_242,plain,
e10 != e12,
inference(cnf_transformation,[],[f256]) ).
tcf(c_243,plain,
e10 != e13,
inference(cnf_transformation,[],[f255]) ).
tcf(c_244,plain,
e11 != e12,
inference(cnf_transformation,[],[f254]) ).
tcf(c_245,plain,
e11 != e13,
inference(cnf_transformation,[],[f253]) ).
tcf(c_246,plain,
e12 != e13,
inference(cnf_transformation,[],[f252]) ).
tcf(c_247,plain,
e20 != e21,
inference(cnf_transformation,[],[f263]) ).
tcf(c_248,plain,
e20 != e22,
inference(cnf_transformation,[],[f262]) ).
tcf(c_249,plain,
e20 != e23,
inference(cnf_transformation,[],[f261]) ).
tcf(c_250,plain,
e21 != e22,
inference(cnf_transformation,[],[f260]) ).
tcf(c_251,plain,
e21 != e23,
inference(cnf_transformation,[],[f259]) ).
tcf(c_252,plain,
e22 != e23,
inference(cnf_transformation,[],[f258]) ).
tcf(c_269,plain,
( ~ sP2
| ( op1(e10,op1(e11,e10)) != op1(e11,e10) ) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_271,plain,
( ~ sP2
| ( op1(e12,op1(e11,e12)) != op1(e11,e12) ) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_273,plain,
( ~ sP1
| ( op1(e10,op1(e12,e10)) != op1(e12,e10) ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_274,plain,
( ~ sP1
| ( op1(e11,op1(e12,e11)) != op1(e12,e11) ) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_275,plain,
( ~ sP1
| ( op1(e12,op1(e12,e12)) != op1(e12,e12) ) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_281,plain,
( sP0
| sP1
| sP2
| ( op1(e10,op1(e10,e10)) != op1(e10,e10) ) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_283,plain,
( sP0
| sP1
| sP2
| ( op1(e12,op1(e10,e12)) != op1(e10,e12) ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_285,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e11) = e11 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_289,plain,
( ( op1(e11,e10) = e11 )
| ( op1(e11,e11) != e10 ) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_292,plain,
( ( op1(e12,e10) = e12 )
| ( op1(e12,e12) != e10 ) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_293,plain,
( ( op1(e12,e11) = e12 )
| ( op1(e12,e12) != e11 ) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_296,plain,
( ( op1(e13,e11) = e13 )
| ( op1(e13,e13) != e11 ) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_298,plain,
( ~ sP5
| ( op2(e20,op2(e21,e20)) != op2(e21,e20) ) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_300,plain,
( ~ sP5
| ( op2(e22,op2(e21,e22)) != op2(e21,e22) ) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_302,plain,
( ~ sP4
| ( op2(e20,op2(e22,e20)) != op2(e22,e20) ) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_303,plain,
( ~ sP4
| ( op2(e21,op2(e22,e21)) != op2(e22,e21) ) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_304,plain,
( ~ sP4
| ( op2(e22,op2(e22,e22)) != op2(e22,e22) ) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_310,plain,
( sP3
| sP4
| sP5
| ( op2(e20,op2(e20,e20)) != op2(e20,e20) ) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_312,plain,
( sP3
| sP4
| sP5
| ( op2(e22,op2(e20,e22)) != op2(e20,e22) ) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_314,plain,
( ( op2(e23,e23) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_318,plain,
( ( op2(e21,e20) = e21 )
| ( op2(e21,e21) != e20 ) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_321,plain,
( ( op2(e22,e20) = e22 )
| ( op2(e22,e22) != e20 ) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_325,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e23,e23) != e21 ) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_327,plain,
op1(op1(e13,e13),op1(e13,e13)) = e10,
inference(cnf_transformation,[],[f348]) ).
tcf(c_328,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f347]) ).
tcf(c_329,plain,
op1(e13,op1(op1(e13,e13),op1(e13,e13))) = e12,
inference(cnf_transformation,[],[f346]) ).
tcf(c_330,plain,
op2(op2(e23,e23),op2(e23,e23)) = e20,
inference(cnf_transformation,[],[f351]) ).
tcf(c_331,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f350]) ).
tcf(c_332,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = e22,
inference(cnf_transformation,[],[f349]) ).
tcf(c_335,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f353]) ).
tcf(c_339,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f357]) ).
tcf(c_343,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f361]) ).
tcf(c_345,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f367]) ).
tcf(c_346,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f366]) ).
tcf(c_347,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f365]) ).
tcf(c_348,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
inference(cnf_transformation,[],[f364]) ).
tcf(c_386,plain,
( ~ sP8
| ( h4(e11) != e21 ) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_391,plain,
( ~ sP7
| ( h4(e12) != e22 ) ),
inference(cnf_transformation,[],[f409]) ).
tcf(c_409,negated_conjecture,
( sP6
| sP7
| sP8
| ( 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,[],[f419]) ).
tcf(c_449,plain,
op2(e23,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_112,c_331]) ).
tcf(c_451,plain,
op2(e23,e21) = e23,
inference(global_subsumption_just,[status(thm)],[c_110,c_331,c_325]) ).
tcf(c_461,plain,
op1(e13,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_64,c_328]) ).
tcf(c_463,plain,
op1(e13,e11) = e13,
inference(global_subsumption_just,[status(thm)],[c_62,c_328,c_296]) ).
tcf(c_2373,plain,
h4(e11) = e21,
inference(light_normalisation,[status(thm)],[c_347,c_449]) ).
tcf(c_2387,plain,
( ~ sP8
| ( e21 != e21 ) ),
inference(demodulation,[status(thm)],[c_386,c_2373]) ).
tcf(c_2388,plain,
~ sP8,
inference(equality_resolution_simp,[status(thm)],[c_2387]) ).
tcf(c_2488,plain,
op2(e21,e23) != h2(e11),
inference(light_normalisation,[status(thm)],[c_227,c_339]) ).
tcf(c_2489,plain,
op2(e21,e22) != h2(e11),
inference(light_normalisation,[status(thm)],[c_226,c_339]) ).
tcf(c_2491,plain,
op2(e20,e23) != h1(e11),
inference(light_normalisation,[status(thm)],[c_219,c_335]) ).
tcf(c_2494,plain,
op2(e22,e23) != e21,
inference(light_normalisation,[status(thm)],[c_216,c_449]) ).
tcf(c_2496,plain,
op2(e20,e23) != e21,
inference(light_normalisation,[status(thm)],[c_213,c_449]) ).
tcf(c_2498,plain,
op2(e21,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_208,c_343]) ).
tcf(c_2499,plain,
op2(e20,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_206,c_343]) ).
tcf(c_2500,plain,
op2(e22,e21) != e23,
inference(light_normalisation,[status(thm)],[c_204,c_451]) ).
tcf(c_2502,plain,
op2(e22,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_202,c_339]) ).
tcf(c_2503,plain,
op2(e20,e21) != e23,
inference(light_normalisation,[status(thm)],[c_201,c_451]) ).
tcf(c_2504,plain,
op2(e20,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_199,c_339]) ).
tcf(c_2505,plain,
op2(e23,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_195,c_335]) ).
tcf(c_2507,plain,
op2(e21,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_193,c_335]) ).
tcf(c_2513,plain,
op1(e12,e13) != e11,
inference(light_normalisation,[status(thm)],[c_168,c_461]) ).
tcf(c_2514,plain,
op1(e11,e13) != e11,
inference(light_normalisation,[status(thm)],[c_167,c_461]) ).
tcf(c_2515,plain,
op1(e10,e13) != e11,
inference(light_normalisation,[status(thm)],[c_165,c_461]) ).
tcf(c_2516,plain,
op1(e12,e11) != e13,
inference(light_normalisation,[status(thm)],[c_156,c_463]) ).
tcf(c_2518,plain,
op1(e10,e11) != e13,
inference(light_normalisation,[status(thm)],[c_153,c_463]) ).
tcf(c_2519,plain,
h2(e11) = e20,
inference(light_normalisation,[status(thm)],[c_330,c_449,c_339]) ).
tcf(c_2520,plain,
op2(e20,e21) != e20,
inference(demodulation,[status(thm)],[c_2504,c_2519]) ).
tcf(c_2521,plain,
op2(e22,e21) != e20,
inference(demodulation,[status(thm)],[c_2502,c_2519]) ).
tcf(c_2524,plain,
op2(e21,e22) != e20,
inference(demodulation,[status(thm)],[c_2489,c_2519]) ).
tcf(c_2525,plain,
op2(e21,e23) != e20,
inference(demodulation,[status(thm)],[c_2488,c_2519]) ).
tcf(c_2527,plain,
op2(e21,e21) = e20,
inference(demodulation,[status(thm)],[c_339,c_2519]) ).
tcf(c_2528,plain,
op1(e11,e11) = e10,
inference(light_normalisation,[status(thm)],[c_327,c_461]) ).
tcf(c_2533,plain,
op1(e11,e12) != e10,
inference(demodulation,[status(thm)],[c_178,c_2528]) ).
tcf(c_2534,plain,
op1(e11,e13) != e10,
inference(demodulation,[status(thm)],[c_179,c_2528]) ).
tcf(c_2535,plain,
h4(e10) = e20,
inference(light_normalisation,[status(thm)],[c_346,c_449,c_2527]) ).
tcf(c_2550,plain,
op2(e23,e20) = e22,
inference(light_normalisation,[status(thm)],[c_332,c_449,c_2527]) ).
tcf(c_2551,plain,
h1(e11) != e22,
inference(demodulation,[status(thm)],[c_2505,c_2550]) ).
tcf(c_2553,plain,
op2(e22,e20) != e22,
inference(demodulation,[status(thm)],[c_198,c_2550]) ).
tcf(c_2557,plain,
op1(e13,e10) = e12,
inference(light_normalisation,[status(thm)],[c_329,c_461,c_2528]) ).
tcf(c_2558,plain,
op1(e10,e10) != e12,
inference(demodulation,[status(thm)],[c_147,c_2557]) ).
tcf(c_2560,plain,
op1(e12,e10) != e12,
inference(demodulation,[status(thm)],[c_150,c_2557]) ).
tcf(c_2564,plain,
h4(e12) = e22,
inference(light_normalisation,[status(thm)],[c_348,c_449,c_2527,c_2550]) ).
tcf(c_2565,plain,
( ~ sP7
| ( e22 != e22 ) ),
inference(demodulation,[status(thm)],[c_391,c_2564]) ).
tcf(c_2566,plain,
~ sP7,
inference(equality_resolution_simp,[status(thm)],[c_2565]) ).
tcf(c_2586,plain,
( ( op2(e22,e20) = e22 )
| ( h3(e11) != e20 ) ),
inference(light_normalisation,[status(thm)],[c_321,c_343]) ).
tcf(c_2587,plain,
h3(e11) != e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2586,c_2553]) ).
tcf(c_2590,plain,
( ( op2(e21,e20) = e21 )
| ( e20 != e20 ) ),
inference(demodulation,[status(thm)],[c_318,c_2527]) ).
tcf(c_2591,plain,
op2(e21,e20) = e21,
inference(equality_resolution_simp,[status(thm)],[c_2590]) ).
tcf(c_2594,plain,
h1(e11) != e21,
inference(demodulation,[status(thm)],[c_2507,c_2591]) ).
tcf(c_2595,plain,
op2(e22,e20) != e21,
inference(demodulation,[status(thm)],[c_196,c_2591]) ).
tcf(c_2596,plain,
op2(e21,e22) != e21,
inference(demodulation,[status(thm)],[c_224,c_2591]) ).
tcf(c_2630,plain,
( ~ sP4
| ( op2(e22,h3(e11)) != h3(e11) ) ),
inference(light_normalisation,[status(thm)],[c_304,c_343]) ).
tcf(c_2654,plain,
( ~ sP5
| ( op2(e20,e21) != e21 ) ),
inference(light_normalisation,[status(thm)],[c_298,c_2591]) ).
tcf(c_2671,plain,
op1(e12,e12) != e10,
inference(forward_subsumption_resolution,[status(thm)],[c_292,c_2560]) ).
tcf(c_2674,plain,
( ( op1(e11,e10) = e11 )
| ( e10 != e10 ) ),
inference(demodulation,[status(thm)],[c_289,c_2528]) ).
tcf(c_2675,plain,
op1(e11,e10) = e11,
inference(equality_resolution_simp,[status(thm)],[c_2674]) ).
tcf(c_2678,plain,
op1(e10,e10) != e11,
inference(demodulation,[status(thm)],[c_145,c_2675]) ).
tcf(c_2679,plain,
op1(e12,e10) != e11,
inference(demodulation,[status(thm)],[c_148,c_2675]) ).
tcf(c_2680,plain,
op1(e11,e12) != e11,
inference(demodulation,[status(thm)],[c_176,c_2675]) ).
tcf(c_2730,plain,
( ~ sP2
| ( op1(e10,e11) != e11 ) ),
inference(light_normalisation,[status(thm)],[c_269,c_2675]) ).
tcf(c_2761,plain,
( sP3
| sP4
| sP5
| ( op2(e20,h1(e11)) != h1(e11) ) ),
inference(light_normalisation,[status(thm)],[c_310,c_335]) ).
tcf(c_2806,plain,
( ( e21 = e23 )
| ( e20 = e21 )
| ( h3(e11) = e22 )
| ( h1(e11) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_314,c_449,c_335,c_343,c_2527]) ).
tcf(c_2807,plain,
( ( h3(e11) = e22 )
| ( h1(e11) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2806,c_251,c_247]) ).
tcf(c_2814,plain,
( ( e11 = e13 )
| ( e10 = e11 )
| ( op1(e12,e12) = e12 )
| ( op1(e10,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_285,c_461,c_2528]) ).
tcf(c_2815,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e10,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2814,c_245,c_241]) ).
tcf(c_2822,plain,
( ( e21 = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_144,c_449]) ).
tcf(c_2823,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e20,e23) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2822,c_251]) ).
tcf(c_2844,plain,
( ( e20 = e21 )
| ( op2(e22,e23) = e20 )
| ( op2(e21,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_138,c_449]) ).
tcf(c_2845,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2844,c_247,c_2525]) ).
tcf(c_2852,plain,
( ( e20 = e23 )
| ( e20 = e22 )
| ( e20 = e21 )
| ( op2(e23,e22) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_137,c_449,c_451,c_2550]) ).
tcf(c_2853,plain,
op2(e23,e22) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_2852,c_249,c_248,c_247]) ).
tcf(c_2856,plain,
op2(e20,e22) != e20,
inference(demodulation,[status(thm)],[c_207,c_2853]) ).
tcf(c_2876,plain,
( ( h3(e11) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_135,c_343]) ).
tcf(c_2877,plain,
( ( h3(e11) = e23 )
| ( op2(e22,e23) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2876,c_2500]) ).
tcf(c_2887,plain,
( ( e20 = e22 )
| ( h3(e11) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_134,c_343,c_2853]) ).
tcf(c_2888,plain,
( ( h3(e11) = e22 )
| ( op2(e21,e22) = e22 )
| ( op2(e20,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2887,c_248]) ).
tcf(c_2909,plain,
( ( e20 = e21 )
| ( h3(e11) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_132,c_343,c_2853]) ).
tcf(c_2910,plain,
( ( h3(e11) = e21 )
| ( op2(e20,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2909,c_247,c_2596]) ).
tcf(c_2917,plain,
( ( h3(e11) = e21 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e20) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_131,c_343]) ).
tcf(c_2918,plain,
( ( h3(e11) = e21 )
| ( op2(e22,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2917,c_2494,c_2595]) ).
tcf(c_2925,plain,
( ( h3(e11) = e20 )
| ( op2(e22,e23) = e20 )
| ( op2(e22,e21) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_129,c_343]) ).
tcf(c_2926,plain,
( ( op2(e22,e23) = e20 )
| ( op2(e22,e20) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2925,c_2587,c_2521]) ).
tcf(c_2933,plain,
( ( e21 = e23 )
| ( e20 = e23 )
| ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_127,c_2527,c_2591]) ).
tcf(c_2934,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e22) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2933,c_251,c_249]) ).
tcf(c_2941,plain,
( ( e22 = e23 )
| ( e20 = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_126,c_451,c_2527]) ).
tcf(c_2942,plain,
( ( op2(e22,e21) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2941,c_252,c_248]) ).
tcf(c_2949,plain,
( ( e21 = e22 )
| ( e20 = e22 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_125,c_2527,c_2591]) ).
tcf(c_2950,plain,
( ( op2(e21,e23) = e22 )
| ( op2(e21,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2949,c_250,c_248]) ).
tcf(c_2965,plain,
( ( e22 = e23 )
| ( e21 = e23 )
| ( h1(e11) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_120,c_335,c_2550,c_2591]) ).
tcf(c_2966,plain,
( ( h1(e11) = e23 )
| ( op2(e22,e20) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2965,c_252,c_251]) ).
tcf(c_2973,plain,
( ( h1(e11) = e23 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(light_normalisation,[status(thm)],[c_119,c_335]) ).
tcf(c_2974,plain,
( ( h1(e11) = e23 )
| ( op2(e20,e23) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2973,c_2503]) ).
tcf(c_2984,plain,
( ( h1(e11) = e22 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(light_normalisation,[status(thm)],[c_117,c_335]) ).
tcf(c_2985,plain,
( ( op2(e20,e23) = e22 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e21) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2984,c_2551]) ).
tcf(c_2995,plain,
( ( h1(e11) = e21 )
| ( op2(e20,e23) = e21 )
| ( op2(e20,e22) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(light_normalisation,[status(thm)],[c_115,c_335]) ).
tcf(c_2996,plain,
( ( op2(e20,e22) = e21 )
| ( op2(e20,e21) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2995,c_2594,c_2496]) ).
tcf(c_3011,plain,
( ( h1(e11) = e20 )
| ( op2(e20,e23) = e20 )
| ( op2(e20,e22) = e20 )
| ( op2(e20,e21) = e20 ) ),
inference(light_normalisation,[status(thm)],[c_113,c_335]) ).
tcf(c_3012,plain,
( ( h1(e11) = e20 )
| ( op2(e20,e23) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3011,c_2856,c_2520]) ).
tcf(c_3061,plain,
( ( op2(e21,e22) = e23 )
| ( op2(e21,e22) = e22 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_103,c_2596,c_2524]) ).
tcf(c_3068,plain,
( ( op2(e20,e23) = e23 )
| ( op2(e20,e23) = e22 )
| ( op2(e20,e23) = e20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_100,c_2496]) ).
tcf(c_3078,plain,
( ( op2(e20,e22) = e23 )
| ( op2(e20,e22) = e22 )
| ( op2(e20,e22) = e21 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_99,c_2856]) ).
tcf(c_3103,plain,
( ( e11 = e13 )
| ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_96,c_461]) ).
tcf(c_3104,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e11,e13) = e13 )
| ( op1(e10,e13) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3103,c_245]) ).
tcf(c_3125,plain,
( ( e10 = e11 )
| ( op1(e12,e13) = e10 )
| ( op1(e11,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_90,c_461]) ).
tcf(c_3126,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e10,e13) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3125,c_241,c_2534]) ).
tcf(c_3133,plain,
( ( e10 = e13 )
| ( e10 = e12 )
| ( e10 = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_89,c_461,c_463,c_2557]) ).
tcf(c_3134,plain,
op1(e13,e12) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3133,c_243,c_242,c_241]) ).
tcf(c_3146,plain,
( ( e10 = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_88,c_3134]) ).
tcf(c_3147,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e11,e12) = e13 )
| ( op1(e10,e12) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3146,c_243]) ).
tcf(c_3157,plain,
( ( op1(e12,e13) = e13 )
| ( op1(e12,e12) = e13 )
| ( op1(e12,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87,c_2516]) ).
tcf(c_3167,plain,
( ( e10 = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_86,c_3134]) ).
tcf(c_3168,plain,
( ( op1(e12,e12) = e12 )
| ( op1(e11,e12) = e12 )
| ( op1(e10,e12) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3167,c_242]) ).
tcf(c_3178,plain,
( ( op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e11) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_85,c_2560]) ).
tcf(c_3188,plain,
( ( e10 = e11 )
| ( op1(e12,e12) = e11 )
| ( op1(e11,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_3134]) ).
tcf(c_3189,plain,
( ( op1(e12,e12) = e11 )
| ( op1(e10,e12) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3188,c_241,c_2680]) ).
tcf(c_3196,plain,
( ( op1(e12,e12) = e11 )
| ( op1(e12,e11) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83,c_2513,c_2679]) ).
tcf(c_3218,plain,
( ( e12 = e13 )
| ( e10 = e12 )
| ( op1(e12,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(light_normalisation,[status(thm)],[c_78,c_463,c_2528]) ).
tcf(c_3219,plain,
( ( op1(e12,e11) = e12 )
| ( op1(e10,e11) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3218,c_246,c_242]) ).
tcf(c_3234,plain,
( ( e11 = e13 )
| ( e10 = e11 )
| ( op1(e12,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(light_normalisation,[status(thm)],[c_76,c_463,c_2528]) ).
tcf(c_3235,plain,
( ( op1(e12,e11) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3234,c_245,c_241]) ).
tcf(c_3242,plain,
( ( e12 = e13 )
| ( e11 = e13 )
| ( op1(e12,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(light_normalisation,[status(thm)],[c_72,c_2557,c_2675]) ).
tcf(c_3243,plain,
( ( op1(e12,e10) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3242,c_246,c_245]) ).
tcf(c_3250,plain,
( ( op1(e10,e13) = e13 )
| ( op1(e10,e12) = e13 )
| ( op1(e10,e10) = e13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_71,c_2518]) ).
tcf(c_3270,plain,
( ( op1(e10,e12) = e11 )
| ( op1(e10,e11) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67,c_2515,c_2678]) ).
tcf(c_3277,plain,
( ( e10 = e12 )
| ( e10 = e11 )
| ( op1(e12,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(light_normalisation,[status(thm)],[c_66,c_2557,c_2675]) ).
tcf(c_3278,plain,
( ( op1(e12,e10) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3277,c_242,c_241]) ).
tcf(c_3302,plain,
( ( op1(e12,e12) = e13 )
| ( op1(e12,e12) = e12 )
| ( op1(e12,e12) = e11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_2671]) ).
tcf(c_3326,plain,
( ( op1(e11,e13) = e13 )
| ( op1(e11,e13) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56,c_2514,c_2534]) ).
tcf(c_3333,plain,
( ( op1(e11,e12) = e13 )
| ( op1(e11,e12) = e12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_2680,c_2533]) ).
tcf(c_3367,plain,
( ( op1(e10,e10) = e13 )
| ( op1(e10,e10) = e10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49,c_2558,c_2678]) ).
tcf(c_10071,definition,
iPr_def_10 = h1(e11),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_10074,definition,
iPr_def_13 = op1(e10,e12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_10077,definition,
iPr_def_16 = op1(e12,e10),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_10080,definition,
iPr_def_19 = op1(e12,e12),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_10083,definition,
iPr_def_22 = op1(e10,e11),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_10086,definition,
iPr_def_25 = op1(e10,e13),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_10089,definition,
iPr_def_28 = op1(e12,e11),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_10092,definition,
iPr_def_31 = op1(e12,e13),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_10094,definition,
iPr_def_33 = op2(e20,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_33])],[]) ).
tcf(c_10096,definition,
iPr_def_35 = op1(e11,e12),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_10099,definition,
iPr_def_38 = op1(e10,e10),
introduced(definition,[new_symbols(definition,[iPr_def_38])],[]) ).
tcf(c_10102,definition,
iPr_def_41 = op1(e11,e13),
introduced(definition,[new_symbols(definition,[iPr_def_41])],[]) ).
tcf(c_10104,definition,
iPr_def_43 = op2(e20,e21),
introduced(definition,[new_symbols(definition,[iPr_def_43])],[]) ).
tcf(c_10105,definition,
iPr_def_44 = h4(iPr_def_38),
introduced(definition,[new_symbols(definition,[iPr_def_44])],[]) ).
tcf(c_10106,definition,
iPr_def_45 = h4(iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_45])],[]) ).
tcf(c_10107,definition,
iPr_def_46 = h4(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_46])],[]) ).
tcf(c_10108,definition,
iPr_def_47 = op2(e20,e22),
introduced(definition,[new_symbols(definition,[iPr_def_47])],[]) ).
tcf(c_10109,definition,
iPr_def_48 = h4(iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_48])],[]) ).
tcf(c_10110,definition,
iPr_def_49 = op2(e20,e23),
introduced(definition,[new_symbols(definition,[iPr_def_49])],[]) ).
tcf(c_10111,definition,
iPr_def_50 = h4(iPr_def_35),
introduced(definition,[new_symbols(definition,[iPr_def_50])],[]) ).
tcf(c_10112,definition,
iPr_def_51 = op2(e21,e22),
introduced(definition,[new_symbols(definition,[iPr_def_51])],[]) ).
tcf(c_10113,definition,
iPr_def_52 = h4(iPr_def_41),
introduced(definition,[new_symbols(definition,[iPr_def_52])],[]) ).
tcf(c_10114,definition,
iPr_def_53 = op2(e21,e23),
introduced(definition,[new_symbols(definition,[iPr_def_53])],[]) ).
tcf(c_10115,definition,
iPr_def_54 = h4(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_54])],[]) ).
tcf(c_10116,definition,
iPr_def_55 = op2(e22,e20),
introduced(definition,[new_symbols(definition,[iPr_def_55])],[]) ).
tcf(c_10117,definition,
iPr_def_56 = h4(iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_56])],[]) ).
tcf(c_10118,definition,
iPr_def_57 = op2(e22,e21),
introduced(definition,[new_symbols(definition,[iPr_def_57])],[]) ).
tcf(c_10119,definition,
iPr_def_58 = h4(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_58])],[]) ).
tcf(c_10120,definition,
iPr_def_59 = h3(e11),
introduced(definition,[new_symbols(definition,[iPr_def_59])],[]) ).
tcf(c_10121,definition,
iPr_def_60 = h4(iPr_def_31),
introduced(definition,[new_symbols(definition,[iPr_def_60])],[]) ).
tcf(c_10122,definition,
iPr_def_61 = op2(e22,e23),
introduced(definition,[new_symbols(definition,[iPr_def_61])],[]) ).
tcf(c_10146,definition,
iPr_def_85 = op2(e22,iPr_def_59),
introduced(definition,[new_symbols(definition,[iPr_def_85])],[]) ).
fof(f21,definition,
( ~ sP0
| ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( sP0
| sP1
| sP2
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
inference(definition_folding,[],[f10,f23,f22,f21]) ).
fof(f25,definition,
( ~ sP3
| ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP4
| ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP5
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f28,plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( sP3
| sP4
| sP5
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
inference(definition_folding,[],[f11,f27,f26,f25]) ).
fof(f29,definition,
( ~ sP6
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ~ sP7
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ~ sP8
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ~ sP9
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ~ sP10
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ~ sP11
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ~ sP12
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ~ sP13
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ~ sP14
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ~ sP15
| ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ~ sP16
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ~ sP17
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f41,plain,
( ( sP6
| sP7
| sP8
| ( 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)) )
& ( sP9
| sP10
| sP11
| ( 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)) )
& ( sP12
| sP13
| sP14
| ( 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)) )
& ( sP15
| sP16
| sP17
| ( 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,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29]) ).
fof(f44,plain,
( ~ sP0
| ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f47,plain,
( ~ sP3
| ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f59,plain,
( ~ sP6
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f289,plain,
( ~ sP0
| op1(e13,e12) != op1(e12,op1(e13,e12)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f290,plain,
( ~ sP0
| op1(e13,e11) != op1(e11,op1(e13,e11)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f291,plain,
( ~ sP0
| op1(e13,e10) != op1(e10,op1(e13,e10)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f322,plain,
( ~ sP3
| op2(e23,e22) != op2(e22,op2(e23,e22)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f323,plain,
( ~ sP3
| op2(e23,e21) != op2(e21,op2(e23,e21)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f324,plain,
( ~ sP3
| op2(e23,e20) != op2(e20,op2(e23,e20)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f412,plain,
( ~ sP6
| e23 != h4(e13) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_277,plain,
( ~ sP0
| ( op1(e10,op1(e13,e10)) != op1(e13,e10) ) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_278,plain,
( ~ sP0
| ( op1(e11,op1(e13,e11)) != op1(e13,e11) ) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_279,plain,
( ~ sP0
| ( op1(e12,op1(e13,e12)) != op1(e13,e12) ) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_306,plain,
( ~ sP3
| ( op2(e20,op2(e23,e20)) != op2(e23,e20) ) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_307,plain,
( ~ sP3
| ( op2(e21,op2(e23,e21)) != op2(e23,e21) ) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_308,plain,
( ~ sP3
| ( op2(e22,op2(e23,e22)) != op2(e23,e22) ) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_396,plain,
( ~ sP6
| ( h4(e13) != e23 ) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_471,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 )
| sP8
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_409,c_345,c_396,c_409]) ).
tcf(c_472,negated_conjecture,
( sP7
| sP8
| ( 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_471]) ).
tcf(c_2612,plain,
( ~ sP3
| ( op2(e21,e23) != e23 ) ),
inference(light_normalisation,[status(thm)],[c_307,c_451]) ).
tcf(c_2619,plain,
( ~ sP3
| ( op2(e20,e22) != e22 ) ),
inference(light_normalisation,[status(thm)],[c_306,c_2550]) ).
tcf(c_2691,plain,
( ~ sP0
| ( op1(e11,e13) != e13 ) ),
inference(light_normalisation,[status(thm)],[c_278,c_463]) ).
tcf(c_2698,plain,
( ~ sP0
| ( op1(e10,e12) != e12 ) ),
inference(light_normalisation,[status(thm)],[c_277,c_2557]) ).
tcf(c_2854,plain,
( ~ sP3
| ( op2(e22,e20) != e20 ) ),
inference(demodulation,[status(thm)],[c_308,c_2853]) ).
tcf(c_3135,plain,
( ~ sP0
| ( op1(e12,e10) != e10 ) ),
inference(demodulation,[status(thm)],[c_279,c_3134]) ).
tcf(c_3623,plain,
( sP7
| sP8
| ( e23 != e23 )
| ( e22 != e22 )
| ( e21 != e21 )
| ( e20 != e20 )
| ( h4(e10) != e20 )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e11) )
| ( 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(e10,e13)) != op2(e20,e23) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) )
| ( h4(op1(e10,e10)) != h1(e11) ) ),
inference(light_normalisation,[status(thm)],[c_472,c_461,c_449,c_335,c_343,c_345,c_451,c_463,c_2373,c_2527,c_2528,c_2535,c_2550,c_2557,c_2564,c_2591,c_2675,c_2853,c_3134]) ).
tcf(c_3624,plain,
( sP7
| sP8
| ( h4(e10) != e20 )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e11) )
| ( 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(e10,e13)) != op2(e20,e23) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) )
| ( h4(op1(e10,e10)) != h1(e11) ) ),
inference(equality_resolution_simp,[status(thm)],[c_3623]) ).
tcf(c_3625,plain,
( sP7
| sP8
| ( e20 != e20 )
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e11) )
| ( 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(e10,e13)) != op2(e20,e23) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) )
| ( h4(op1(e10,e10)) != h1(e11) ) ),
inference(demodulation,[status(thm)],[c_3624,c_2535]) ).
tcf(c_3626,plain,
( sP7
| sP8
| ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e11) )
| ( 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(e10,e13)) != op2(e20,e23) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) )
| ( h4(op1(e10,e10)) != h1(e11) ) ),
inference(equality_resolution_simp,[status(thm)],[c_3625]) ).
tcf(c_3627,plain,
( ( h4(op1(e12,e13)) != op2(e22,e23) )
| ( h4(op1(e12,e12)) != h3(e11) )
| ( 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(e10,e13)) != op2(e20,e23) )
| ( h4(op1(e10,e12)) != op2(e20,e22) )
| ( h4(op1(e10,e11)) != op2(e20,e21) )
| ( h4(op1(e10,e10)) != h1(e11) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3626,c_2566,c_2388]) ).
tcf(c_10171,plain,
( ( iPr_def_60 != iPr_def_61 )
| ( iPr_def_58 != iPr_def_59 )
| ( iPr_def_56 != iPr_def_57 )
| ( iPr_def_54 != iPr_def_55 )
| ( iPr_def_52 != iPr_def_53 )
| ( iPr_def_50 != iPr_def_51 )
| ( iPr_def_48 != iPr_def_49 )
| ( iPr_def_46 != iPr_def_47 )
| ( iPr_def_45 != iPr_def_43 )
| ( iPr_def_44 != iPr_def_10 ) ),
inference(demodulation,[status(thm)],[c_3627,c_10122,c_10121,c_10120,c_10119,c_10118,c_10117,c_10116,c_10115,c_10114,c_10113,c_10112,c_10111,c_10110,c_10109,c_10108,c_10107,c_10106,c_10105]) ).
tcf(c_11352,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10171,c_10146,c_10122,c_10121,c_10120,c_10119,c_10118,c_10117,c_10116,c_10115,c_10114,c_10113,c_10112,c_10111,c_10110,c_10109,c_10108,c_10107,c_10106,c_10105,c_10104,c_10102,c_10099,c_10096,c_10094,c_10092,c_10089,c_10086,c_10083,c_10080,c_10077,c_10074,c_10071,c_3367,c_3333,c_3326,c_3302,c_3278,c_3270,c_3250,c_3243,c_3235,c_3219,c_3196,c_3189,c_3178,c_3168,c_3157,c_3147,c_3135,c_3126,c_3104,c_3078,c_3068,c_3061,c_3012,c_2996,c_2985,c_2974,c_2966,c_2950,c_2942,c_2934,c_2926,c_2918,c_2910,c_2888,c_2877,c_2854,c_2845,c_2823,c_2815,c_2807,c_2761,c_2730,c_2698,c_2691,c_2654,c_2630,c_2619,c_2612,c_2564,c_2535,c_2499,c_2498,c_2491,c_2373,c_345,c_343,c_335,c_312,c_303,c_302,c_300,c_293,c_283,c_281,c_275,c_274,c_273,c_271,c_252,c_251,c_250,c_249,c_246,c_245,c_244,c_243,c_242,c_228,c_221,c_212,c_211,c_205,c_184,c_183,c_182,c_174,c_171,c_170,c_163,c_157,c_146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG125+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 04:53:13 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 0.21/0.51
% 0.21/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.51
% 0.21/0.52 % Detected problem language: tptp
% 0.21/0.53 % Proving...
% 2.49/1.97 % SZS status Started for theBenchmark.p
% 2.49/1.97 % SZS status Theorem for theBenchmark.p
% 2.49/1.97
% 2.49/1.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.49/1.97
% 2.49/1.97 % ------ iProver source info
% 2.49/1.97
% 2.49/1.97 % git: date: 2026-07-19 20:42:38 +0200
% 2.49/1.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.49/1.97 % git: non_committed_changes: false
% 2.49/1.97
% 2.49/1.97 % ------ Parsing...
% 2.49/1.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.49/1.97
% 2.49/1.97 % ------ Preprocessing... sup_sim: 277 sf_s rm: 5 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.49/1.97
% 2.49/1.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.49/1.97
% 2.49/1.97 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.49/1.97 % ------ Proving...
% 2.49/1.97 % ------ Problem Properties
% 2.49/1.97
% 2.49/1.97 %
% 2.49/1.97 % clauses 345
% 2.49/1.97 % conjectures 0
% 2.49/1.97 % EPR 33
% 2.49/1.97 % Horn 272
% 2.49/1.97 % unary 229
% 2.49/1.97 % binary 79
% 2.49/1.97 % lits 563
% 2.49/1.97 % lits eq 496
% 2.49/1.97 % fd_pure 0
% 2.49/1.97 % fd_pseudo 0
% 2.49/1.97 % fd_cond 0
% 2.49/1.97 % fd_pseudo_cond 0
% 2.49/1.97 % AC symbols 0
% 2.49/1.97
% 2.49/1.97 % ------ Schedule dynamic 5 is on
% 2.49/1.97
% 2.49/1.97 % ------ no conjectures: strip conj schedule
% 2.49/1.97
% 2.49/1.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.49/1.97
% 2.49/1.97
% 2.49/1.97 % ------
% 2.49/1.97 % Current options:
% 2.49/1.97 % ------
% 2.49/1.97
% 2.49/1.97
% 2.49/1.97 %
% 2.49/1.97
% 2.49/1.97 % ------ Proving...
% 2.49/1.97 %
% 2.49/1.97
% 2.49/1.97 % SZS status Theorem for theBenchmark.p
% 2.49/1.97
% 2.49/1.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.49/1.98
% 2.49/1.98
%------------------------------------------------------------------------------