%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG116+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 12:53:29 PM UTC 2026
% Result : Theorem 3.46s 1.19s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 35
% Syntax : Number of formulae : 354 ( 181 unt; 18 def)
% Number of atoms : 1842 (1722 equ)
% Maximal formula atoms : 128 ( 5 avg)
% Number of connectives : 2148 ( 660 ~; 947 |; 541 &)
% ( 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 : 20 ( 18 usr; 19 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e10),op1(e13,e10)) = e10 )
| ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 )
| ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e20),op2(e23,e20)) = e20 )
| ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e20 )
| ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),e13)
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),e23)
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox2/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/sandbox2/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(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f43,plain,
( ~ sP1
| ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f45,plain,
( ~ sP5
| ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f46,plain,
( ~ sP4
| ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = 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(f61,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,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(f77,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
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(f102,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
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(f107,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
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(f118,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
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(f122,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
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(f132,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
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(f135,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
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(f145,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = 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(f153,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e11,e10) != op1(e11,e11),
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(f186,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op1(e10,e12) != op1(e12,e12),
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(f193,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f195,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e11,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(f204,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f206,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f209,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f210,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f215,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
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(f219,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f223,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f226,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f227,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f228,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
op2(e21,e23) != op2(e22,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(f234,plain,
op2(e22,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(f241,plain,
op2(e21,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(f244,plain,
op2(e20,e21) != op2(e22,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(f249,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f253,plain,
e11 != e13,
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(f280,plain,
( ~ sP2
| e13 = op1(op1(e11,e13),op1(e11,e13)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f281,plain,
( ~ sP2
| e12 = op1(op1(e11,e12),op1(e11,e12)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f283,plain,
( ~ sP2
| e10 = op1(op1(e11,e10),op1(e11,e10)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f284,plain,
( ~ sP1
| e13 = op1(op1(e12,e13),op1(e12,e13)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f285,plain,
( ~ sP1
| e12 = op1(op1(e12,e12),op1(e12,e12)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f287,plain,
( ~ sP1
| e10 = op1(op1(e12,e10),op1(e12,e10)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f292,plain,
( sP0
| sP1
| sP2
| e13 = op1(op1(e10,e13),op1(e10,e13)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f293,plain,
( sP0
| sP1
| sP2
| e12 = op1(op1(e10,e12),op1(e10,e12)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f296,plain,
( ~ sP5
| e23 = op2(op2(e21,e23),op2(e21,e23)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f297,plain,
( ~ sP5
| e22 = op2(op2(e21,e22),op2(e21,e22)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f300,plain,
( ~ sP4
| e23 = op2(op2(e22,e23),op2(e22,e23)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f303,plain,
( ~ sP4
| e20 = op2(op2(e22,e20),op2(e22,e20)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f308,plain,
( sP3
| sP4
| sP5
| e23 = op2(op2(e20,e23),op2(e20,e23)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f309,plain,
( sP3
| sP4
| sP5
| e22 = op2(op2(e20,e22),op2(e20,e22)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f310,plain,
( sP3
| sP4
| sP5
| e21 = op2(op2(e20,e21),op2(e20,e21)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f312,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f313,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f314,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f315,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f316,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f317,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f318,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f319,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f323,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f324,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f326,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f327,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f330,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f331,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f332,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f333,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f372,plain,
( ~ sP8
| e21 != h4(e11) ),
inference(cnf_transformation,[],[f57]) ).
fof(f375,plain,
( ~ sP7
| e22 != h4(e12) ),
inference(cnf_transformation,[],[f58]) ).
fof(f385,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_51,plain,
( ( op1(e10,e12) = e13 )
| ( op1(e10,e12) = e12 )
| ( op1(e10,e12) = e11 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_53,plain,
( ( op1(e11,e10) = e13 )
| ( op1(e11,e10) = e12 )
| ( op1(e11,e10) = e11 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_57,plain,
( ( op1(e12,e10) = e13 )
| ( op1(e12,e10) = e12 )
| ( op1(e12,e10) = e11 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_58,plain,
( ( op1(e12,e11) = e13 )
| ( op1(e12,e11) = e12 )
| ( op1(e12,e11) = e11 )
| ( op1(e12,e11) = e10 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_61,plain,
( ( op1(e13,e10) = e13 )
| ( op1(e13,e10) = e12 )
| ( op1(e13,e10) = e11 )
| ( op1(e13,e10) = e10 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_63,plain,
( ( op1(e13,e12) = e13 )
| ( op1(e13,e12) = e12 )
| ( op1(e13,e12) = e11 )
| ( op1(e13,e12) = e10 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_65,plain,
( ( op1(e10,e13) = e10 )
| ( op1(e10,e12) = e10 )
| ( op1(e10,e11) = e10 )
| ( op1(e10,e10) = e10 ) ),
inference(cnf_transformation,[],[f107]) ).
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_70,plain,
( ( op1(e13,e10) = e12 )
| ( op1(e12,e10) = e12 )
| ( op1(e11,e10) = e12 )
| ( op1(e10,e10) = e12 ) ),
inference(cnf_transformation,[],[f102]) ).
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_73,plain,
( ( op1(e11,e13) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e11,e11) = e10 )
| ( op1(e11,e10) = e10 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_81,plain,
( ( op1(e12,e13) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e12,e11) = e10 )
| ( op1(e12,e10) = e10 ) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_82,plain,
( ( op1(e13,e12) = e10 )
| ( op1(e12,e12) = e10 )
| ( op1(e11,e12) = e10 )
| ( op1(e10,e12) = e10 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_95,plain,
( ( op1(e13,e13) = e13 )
| ( op1(e13,e12) = e13 )
| ( op1(e13,e11) = e13 )
| ( op1(e13,e10) = e13 ) ),
inference(cnf_transformation,[],[f77]) ).
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_97,plain,
( ( op2(e20,e20) = e23 )
| ( op2(e20,e20) = e22 )
| ( op2(e20,e20) = e21 )
| ( op2(e20,e20) = e20 ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_98,plain,
( ( op2(e20,e21) = e23 )
| ( op2(e20,e21) = e22 )
| ( op2(e20,e21) = e21 )
| ( op2(e20,e21) = e20 ) ),
inference(cnf_transformation,[],[f122]) ).
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_102,plain,
( ( op2(e21,e21) = e23 )
| ( op2(e21,e21) = e22 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e21) = e20 ) ),
inference(cnf_transformation,[],[f118]) ).
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_104,plain,
( ( op2(e21,e23) = e23 )
| ( op2(e21,e23) = e22 )
| ( op2(e21,e23) = e21 )
| ( op2(e21,e23) = e20 ) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_105,plain,
( ( op2(e22,e20) = e23 )
| ( op2(e22,e20) = e22 )
| ( op2(e22,e20) = e21 )
| ( op2(e22,e20) = e20 ) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_106,plain,
( ( op2(e22,e21) = e23 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e21) = e21 )
| ( op2(e22,e21) = e20 ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_107,plain,
( ( op2(e22,e22) = e23 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e22) = e21 )
| ( op2(e22,e22) = e20 ) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_108,plain,
( ( op2(e22,e23) = e23 )
| ( op2(e22,e23) = e22 )
| ( op2(e22,e23) = e21 )
| ( op2(e22,e23) = e20 ) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_109,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e23,e20) = e22 )
| ( op2(e23,e20) = e21 )
| ( op2(e23,e20) = e20 ) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_111,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e23,e22) = e22 )
| ( op2(e23,e22) = e21 )
| ( op2(e23,e22) = e20 ) ),
inference(cnf_transformation,[],[f109]) ).
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_120,plain,
( ( op2(e23,e20) = e23 )
| ( op2(e22,e20) = e23 )
| ( op2(e21,e20) = e23 )
| ( op2(e20,e20) = e23 ) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_123,plain,
( ( op2(e21,e23) = e21 )
| ( op2(e21,e22) = e21 )
| ( op2(e21,e21) = e21 )
| ( op2(e21,e20) = e21 ) ),
inference(cnf_transformation,[],[f145]) ).
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_128,plain,
( ( op2(e23,e21) = e23 )
| ( op2(e22,e21) = e23 )
| ( op2(e21,e21) = e23 )
| ( op2(e20,e21) = e23 ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_133,plain,
( ( op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22 )
| ( op2(e22,e21) = e22 )
| ( op2(e22,e20) = e22 ) ),
inference(cnf_transformation,[],[f135]) ).
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_136,plain,
( ( op2(e23,e22) = e23 )
| ( op2(e22,e22) = e23 )
| ( op2(e21,e22) = e23 )
| ( op2(e20,e22) = e23 ) ),
inference(cnf_transformation,[],[f132]) ).
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_149,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f199]) ).
tcf(c_150,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f198]) ).
tcf(c_151,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f197]) ).
tcf(c_153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f195]) ).
tcf(c_154,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f194]) ).
tcf(c_155,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f193]) ).
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_158,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f190]) ).
tcf(c_162,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f186]) ).
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_175,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f173]) ).
tcf(c_177,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f171]) ).
tcf(c_184,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f164]) ).
tcf(c_186,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f162]) ).
tcf(c_187,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f161]) ).
tcf(c_188,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f160]) ).
tcf(c_189,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f159]) ).
tcf(c_190,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f158]) ).
tcf(c_192,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f156]) ).
tcf(c_195,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f249]) ).
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_200,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f244]) ).
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_203,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f241]) ).
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_210,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f234]) ).
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_214,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f230]) ).
tcf(c_215,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f229]) ).
tcf(c_216,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f228]) ).
tcf(c_217,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f227]) ).
tcf(c_218,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f226]) ).
tcf(c_219,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f225]) ).
tcf(c_220,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f224]) ).
tcf(c_221,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f223]) ).
tcf(c_222,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f222]) ).
tcf(c_225,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f219]) ).
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_229,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f215]) ).
tcf(c_230,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f214]) ).
tcf(c_231,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f213]) ).
tcf(c_232,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f212]) ).
tcf(c_233,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f211]) ).
tcf(c_234,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f210]) ).
tcf(c_235,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f209]) ).
tcf(c_237,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f207]) ).
tcf(c_238,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f206]) ).
tcf(c_240,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f204]) ).
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_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,
( ( op1(op1(e11,e10),op1(e11,e10)) = e10 )
| ~ sP2 ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_271,plain,
( ( op1(op1(e11,e12),op1(e11,e12)) = e12 )
| ~ sP2 ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_272,plain,
( ( op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ~ sP2 ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_273,plain,
( ( op1(op1(e12,e10),op1(e12,e10)) = e10 )
| ~ sP1 ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_275,plain,
( ( op1(op1(e12,e12),op1(e12,e12)) = e12 )
| ~ sP1 ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_276,plain,
( ( op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ~ sP1 ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_283,plain,
( sP0
| sP1
| sP2
| ( op1(op1(e10,e12),op1(e10,e12)) = e12 ) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_284,plain,
( sP0
| sP1
| sP2
| ( op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_287,plain,
( ( op2(op2(e21,e22),op2(e21,e22)) = e22 )
| ~ sP5 ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_288,plain,
( ( op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ~ sP5 ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_289,plain,
( ( op2(op2(e22,e20),op2(e22,e20)) = e20 )
| ~ sP4 ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_292,plain,
( ( op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ~ sP4 ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_298,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e20,e21),op2(e20,e21)) = e21 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_299,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e20,e22),op2(e20,e22)) = e22 ) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_300,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_301,plain,
op1(e13,op1(e13,e13)) = e10,
inference(cnf_transformation,[],[f314]) ).
tcf(c_302,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f313]) ).
tcf(c_303,plain,
op1(op1(e13,op1(e13,e13)),e13) = e12,
inference(cnf_transformation,[],[f312]) ).
tcf(c_304,plain,
op2(e23,op2(e23,e23)) = e20,
inference(cnf_transformation,[],[f317]) ).
tcf(c_305,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f316]) ).
tcf(c_306,plain,
op2(op2(e23,op2(e23,e23)),e23) = e22,
inference(cnf_transformation,[],[f315]) ).
tcf(c_309,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f319]) ).
tcf(c_310,plain,
op2(op2(e20,op2(e20,e20)),e20) = h1(e12),
inference(cnf_transformation,[],[f318]) ).
tcf(c_312,plain,
op2(e21,op2(e21,e21)) = h2(e10),
inference(cnf_transformation,[],[f324]) ).
tcf(c_313,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f323]) ).
tcf(c_317,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f327]) ).
tcf(c_318,plain,
op2(op2(e22,op2(e22,e22)),e22) = h3(e12),
inference(cnf_transformation,[],[f326]) ).
tcf(c_319,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f333]) ).
tcf(c_320,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f332]) ).
tcf(c_321,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f331]) ).
tcf(c_322,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
inference(cnf_transformation,[],[f330]) ).
tcf(c_360,plain,
( ~ sP8
| ( h4(e11) != e21 ) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_365,plain,
( ~ sP7
| ( h4(e12) != e22 ) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_383,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,[],[f385]) ).
fof(f21,definition,
( ~ sP0
| ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e10),op1(e13,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ~ sP1
| ( op1(op1(e12,e13),op1(e12,e13)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ~ sP2
| ( op1(op1(e11,e13),op1(e11,e13)) = e13
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e10),op1(e11,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,plain,
( sP0
| sP1
| sP2
| ( op1(op1(e10,e13),op1(e10,e13)) = e13
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
inference(definition_folding,[],[f10,f23,f22,f21]) ).
fof(f25,definition,
( ~ sP3
| ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e20),op2(e23,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ~ sP4
| ( op2(op2(e22,e23),op2(e22,e23)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ~ sP5
| ( op2(op2(e21,e23),op2(e21,e23)) = e23
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e20),op2(e21,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f28,plain,
( sP3
| sP4
| sP5
| ( op2(op2(e20,e23),op2(e20,e23)) = e23
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e20),op2(e20,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(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e10),op1(e13,e10)) = e10 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f47,plain,
( ~ sP3
| ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e20),op2(e23,e20)) = 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(f288,plain,
( ~ sP0
| e13 = op1(op1(e13,e13),op1(e13,e13)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f290,plain,
( ~ sP0
| e11 = op1(op1(e13,e11),op1(e13,e11)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f304,plain,
( ~ sP3
| e23 = op2(op2(e23,e23),op2(e23,e23)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f306,plain,
( ~ sP3
| e21 = op2(op2(e23,e21),op2(e23,e21)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f378,plain,
( ~ sP6
| e23 != h4(e13) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_278,plain,
( ( op1(op1(e13,e11),op1(e13,e11)) = e11 )
| ~ sP0 ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_280,plain,
( ( op1(op1(e13,e13),op1(e13,e13)) = e13 )
| ~ sP0 ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_294,plain,
( ( op2(op2(e23,e21),op2(e23,e21)) = e21 )
| ~ sP3 ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_296,plain,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23 )
| ~ sP3 ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_370,plain,
( ~ sP6
| ( h4(e13) != e23 ) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_429,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_383,c_319,c_370,c_383]) ).
tcf(c_430,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_429]) ).
tcf(c_4143,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_430,c_365,c_360,c_322,c_321,c_320,c_319,c_318,c_317,c_313,c_312,c_310,c_309,c_306,c_305,c_304,c_303,c_302,c_301,c_300,c_299,c_298,c_296,c_294,c_292,c_289,c_288,c_287,c_284,c_283,c_280,c_278,c_276,c_275,c_273,c_272,c_271,c_269,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_243,c_242,c_241,c_240,c_238,c_237,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_213,c_212,c_211,c_210,c_206,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_195,c_192,c_190,c_189,c_188,c_187,c_186,c_184,c_177,c_175,c_174,c_171,c_170,c_162,c_158,c_157,c_156,c_155,c_154,c_153,c_151,c_150,c_149,c_148,c_147,c_146,c_145,c_144,c_138,c_136,c_134,c_133,c_128,c_126,c_123,c_120,c_115,c_111,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_102,c_99,c_98,c_97,c_96,c_95,c_82,c_81,c_73,c_71,c_70,c_66,c_65,c_63,c_61,c_58,c_57,c_53,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG116+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 04:49:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.46/1.19 % SZS status Started for theBenchmark.p
% 3.46/1.19 % SZS status Theorem for theBenchmark.p
% 3.46/1.19
% 3.46/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.46/1.19
% 3.46/1.19 % ------ iProver source info
% 3.46/1.19
% 3.46/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.46/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.46/1.19 % git: non_committed_changes: false
% 3.46/1.19
% 3.46/1.19 % ------ Parsing...
% 3.46/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.46/1.19
% 3.46/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.46/1.19
% 3.46/1.19 % ------ Preprocessing...%
% 3.46/1.19
% 3.46/1.19 % SZS status Theorem for theBenchmark.p
% 3.46/1.19
% 3.46/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.19
% 3.46/1.19
%------------------------------------------------------------------------------