TSTP Solution File: ALG110+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG110+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:45 EDT 2024
% Result : Theorem 4.13s 1.10s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 36
% Syntax : Number of formulae : 301 ( 135 unt; 0 def)
% Number of atoms : 1826 (1710 equ)
% Maximal formula atoms : 128 ( 6 avg)
% Number of connectives : 2230 ( 705 ~; 972 |; 553 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e13 = 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) )
& ( e12 = 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) )
& ( e11 = 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) )
& ( e10 = 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) )
& ( e13 = 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) )
& ( e12 = 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) )
& ( e11 = 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) )
& ( e10 = 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) )
& ( e13 = 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) )
& ( e12 = 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) )
& ( e11 = 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) )
& ( e10 = 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) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = 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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e23 = 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) )
& ( e22 = 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) )
& ( e21 = 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) )
& ( e20 = 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) )
& ( e23 = 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) )
& ( e22 = 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) )
& ( e21 = 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) )
& ( e20 = 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) )
& ( e23 = 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) )
& ( e22 = 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) )
& ( e21 = 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) )
& ( e20 = 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) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = 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) ) ),
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,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e13 != op1(e13,e10)
& e10 = op1(e10,e13) ) )
& ( ( e12 != op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) ) )
& ( ( e11 != op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) ) )
& ( ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) ) )
& ( ( e22 != op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e22 != op2(e22,e20)
& e20 = op2(e20,e22) ) )
& ( ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) ) )
& ( ( e20 != op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e10 = op1(op1(e12,e12),op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e20 = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& e20 = h1(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& e21 = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f18,conjecture,
( ( ( 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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( 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(negated_conjecture,[],[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(f21,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e11)
& e11 = op1(e11,e13) )
| sP3 )
& ( ( e12 != op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) )
| sP2 )
& ( ( e11 != op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| sP1 )
& ( ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e10) )
| sP0 ) ),
inference(definition_folding,[],[f10,f24,f23,f22,f21]) ).
fof(f26,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f30,plain,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e21)
& e21 = op2(e21,e23) )
| sP7 )
& ( ( e22 != op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e21,e22) )
| sP6 )
& ( ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| sP5 )
& ( ( e20 != op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e21)
& e21 = op2(e21,e20) )
| sP4 ) ),
inference(definition_folding,[],[f11,f29,f28,f27,f26]) ).
fof(f31,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f33,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f35,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f37,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f38,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f43,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP19
| sP18
| sP17
| 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) )
| sP16
| sP15
| sP14
| 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) )
| sP13
| sP12
| sP11
| 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) )
| sP10
| sP9
| sP8
| 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,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f46,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f49,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP6 ),
inference(nnf_transformation,[],[f28]) ).
fof(f50,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f51,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f55,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f56,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f57,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP14 ),
inference(nnf_transformation,[],[f37]) ).
fof(f65,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f118,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(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f179,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f198,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f200,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f211,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f216,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f220,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f221,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f222,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f223,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f225,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f227,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f235,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f237,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f241,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f242,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f245,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f246,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f248,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f249,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f250,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f251,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f252,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f255,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f257,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f258,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f259,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f260,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f261,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f264,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f266,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f267,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f288,plain,
( e10 = op1(e10,e11)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f290,plain,
( e10 = op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f291,plain,
( e10 != op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f292,plain,
( e13 = op1(e13,e10)
| e12 = op1(e12,e10)
| e11 = op1(e11,e10)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f293,plain,
( e13 = op1(e13,e10)
| e12 = op1(e12,e10)
| e10 != op1(e10,e11)
| sP0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f300,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,e11)
| e11 = op1(e11,e11)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f301,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,e11)
| e11 != op1(e11,e11)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f326,plain,
( e20 = op2(e20,e22)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f328,plain,
( e20 = op2(e20,e21)
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
fof(f330,plain,
( e20 = op2(e20,e20)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f331,plain,
( e20 != op2(e20,e20)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f332,plain,
( e23 = op2(e23,e20)
| e22 = op2(e22,e20)
| e21 = op2(e21,e20)
| sP4 ),
inference(cnf_transformation,[],[f30]) ).
fof(f334,plain,
( e23 = op2(e23,e20)
| e20 != op2(e20,e22)
| e21 = op2(e21,e20)
| sP4 ),
inference(cnf_transformation,[],[f30]) ).
fof(f340,plain,
( e23 = op2(e23,e21)
| e22 = op2(e22,e21)
| e21 = op2(e21,e21)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f341,plain,
( e23 = op2(e23,e21)
| e22 = op2(e22,e21)
| e21 != op2(e21,e21)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f342,plain,
( e23 = op2(e23,e21)
| e21 != op2(e21,e22)
| e21 = op2(e21,e21)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f343,plain,
( e23 = op2(e23,e21)
| e21 != op2(e21,e22)
| e21 != op2(e21,e21)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f348,plain,
( e23 = op2(e23,e22)
| e22 = op2(e22,e22)
| e21 = op2(e21,e22)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f350,plain,
( e23 = op2(e23,e22)
| e22 != op2(e22,e22)
| e21 = op2(e21,e22)
| sP6 ),
inference(cnf_transformation,[],[f30]) ).
fof(f364,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f365,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f366,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f367,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f368,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f369,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f373,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f377,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f378,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f379,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f380,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f381,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f400,plain,
( e22 != h3(e12)
| ~ sP16 ),
inference(cnf_transformation,[],[f55]) ).
fof(f403,plain,
( e21 != h3(e11)
| ~ sP15 ),
inference(cnf_transformation,[],[f56]) ).
fof(f406,plain,
( e20 != h3(e10)
| ~ sP14 ),
inference(cnf_transformation,[],[f57]) ).
fof(f445,plain,
( e23 != h3(e13)
| sP16
| sP15
| sP14
| 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)) ),
inference(cnf_transformation,[],[f43]) ).
cnf(c_53,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_55,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_56,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_63,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_65,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_70,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_80,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_81,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_90,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_91,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_98,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_100,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_101,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_104,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_106,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_110,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_126,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_131,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_138,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f206]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f202]) ).
cnf(c_151,plain,
op1(e12,e13) != op1(e12,e12),
inference(cnf_transformation,[],[f201]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f200]) ).
cnf(c_153,plain,
op1(e12,e12) != op1(e12,e11),
inference(cnf_transformation,[],[f199]) ).
cnf(c_154,plain,
op1(e12,e13) != op1(e12,e10),
inference(cnf_transformation,[],[f198]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f197]) ).
cnf(c_156,plain,
op1(e12,e11) != op1(e12,e10),
inference(cnf_transformation,[],[f196]) ).
cnf(c_158,plain,
op1(e11,e13) != op1(e11,e11),
inference(cnf_transformation,[],[f194]) ).
cnf(c_164,plain,
op1(e10,e13) != op1(e10,e11),
inference(cnf_transformation,[],[f188]) ).
cnf(c_169,plain,
op1(e13,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f183]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f181]) ).
cnf(c_172,plain,
op1(e13,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f180]) ).
cnf(c_173,plain,
op1(e12,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f179]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f173]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f171]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f168]) ).
cnf(c_185,plain,
op1(e12,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f167]) ).
cnf(c_188,plain,
op1(e13,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f164]) ).
cnf(c_189,plain,
op1(e12,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f163]) ).
cnf(c_191,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f161]) ).
cnf(c_193,plain,
op2(e23,e23) != op2(e23,e22),
inference(cnf_transformation,[],[f255]) ).
cnf(c_196,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f252]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f251]) ).
cnf(c_198,plain,
op2(e23,e21) != op2(e23,e20),
inference(cnf_transformation,[],[f250]) ).
cnf(c_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f249]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f248]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f246]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f245]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f242]) ).
cnf(c_207,plain,
op2(e21,e22) != op2(e21,e21),
inference(cnf_transformation,[],[f241]) ).
cnf(c_209,plain,
op2(e21,e22) != op2(e21,e20),
inference(cnf_transformation,[],[f239]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f238]) ).
cnf(c_211,plain,
op2(e20,e23) != op2(e20,e22),
inference(cnf_transformation,[],[f237]) ).
cnf(c_213,plain,
op2(e20,e22) != op2(e20,e21),
inference(cnf_transformation,[],[f235]) ).
cnf(c_217,plain,
op2(e23,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f231]) ).
cnf(c_221,plain,
op2(e22,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f227]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f225]) ).
cnf(c_224,plain,
op2(e23,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f224]) ).
cnf(c_225,plain,
op2(e22,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f223]) ).
cnf(c_226,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f222]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f221]) ).
cnf(c_228,plain,
op2(e21,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f220]) ).
cnf(c_232,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f216]) ).
cnf(c_237,plain,
op2(e22,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f211]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f261]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f260]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f259]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f258]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f257]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f256]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f267]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f266]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f264]) ).
cnf(c_274,plain,
( ~ sP1
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_275,plain,
( op1(e10,e10) != e10
| ~ sP0 ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_276,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_299,plain,
( op1(e11,e11) != e11
| op1(e13,e11) = e13
| op1(e12,e11) = e12
| sP1 ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_300,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| op1(e11,e11) = e11
| sP1 ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_307,plain,
( op1(e10,e11) != e10
| op1(e13,e10) = e13
| op1(e12,e10) = e12
| sP0 ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_308,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11
| sP0 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_312,plain,
( ~ sP6
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f326]) ).
cnf(c_314,plain,
( ~ sP5
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_315,plain,
( op2(e20,e20) != e20
| ~ sP4 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_316,plain,
( ~ sP4
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_330,plain,
( op2(e22,e22) != e22
| op2(e23,e22) = e23
| op2(e21,e22) = e21
| sP6 ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_332,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e22
| op2(e21,e22) = e21
| sP6 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_337,plain,
( op2(e21,e22) != e21
| op2(e21,e21) != e21
| op2(e23,e21) = e23
| sP5 ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_338,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e23
| op2(e21,e21) = e21
| sP5 ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_339,plain,
( op2(e21,e21) != e21
| op2(e23,e21) = e23
| op2(e22,e21) = e22
| sP5 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_340,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e21) = e21
| sP5 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_346,plain,
( op2(e20,e22) != e20
| op2(e23,e20) = e23
| op2(e21,e20) = e21
| sP4 ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_348,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21
| sP4 ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_349,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[],[f366]) ).
cnf(c_350,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = e11,
inference(cnf_transformation,[],[f365]) ).
cnf(c_351,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
inference(cnf_transformation,[],[f364]) ).
cnf(c_352,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f369]) ).
cnf(c_353,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = e21,
inference(cnf_transformation,[],[f368]) ).
cnf(c_354,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
inference(cnf_transformation,[],[f367]) ).
cnf(c_355,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f373]) ).
cnf(c_359,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f377]) ).
cnf(c_363,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f381]) ).
cnf(c_364,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f380]) ).
cnf(c_365,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f379]) ).
cnf(c_366,plain,
h3(e12) = e22,
inference(cnf_transformation,[],[f378]) ).
cnf(c_384,plain,
( h3(e12) != e22
| ~ sP16 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_389,plain,
( h3(e11) != e21
| ~ sP15 ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_394,plain,
( h3(e10) != e20
| ~ sP14 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_423,negated_conjecture,
( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e13) != e23
| sP16
| sP15
| sP14 ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_459,plain,
~ sP4,
inference(global_subsumption_just,[status(thm)],[c_316,c_316,c_315]) ).
cnf(c_461,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_276,c_276,c_275]) ).
cnf(c_467,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
inference(global_subsumption_just,[status(thm)],[c_348,c_316,c_315,c_348]) ).
cnf(c_468,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e22
| op2(e21,e20) = e21 ),
inference(renaming,[status(thm)],[c_467]) ).
cnf(c_469,plain,
( op2(e22,e21) = e22
| op2(e23,e21) = e23
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_340,c_340,c_339]) ).
cnf(c_470,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| sP5 ),
inference(renaming,[status(thm)],[c_469]) ).
cnf(c_471,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e21
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_332,c_332,c_330]) ).
cnf(c_475,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
inference(global_subsumption_just,[status(thm)],[c_308,c_276,c_275,c_308]) ).
cnf(c_476,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e12
| op1(e11,e10) = e11 ),
inference(renaming,[status(thm)],[c_475]) ).
cnf(c_477,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e13
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_300,c_300,c_299]) ).
cnf(c_478,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| sP1 ),
inference(renaming,[status(thm)],[c_477]) ).
cnf(c_485,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23
| op2(e20,e22) != e20 ),
inference(global_subsumption_just,[status(thm)],[c_346,c_346,c_459]) ).
cnf(c_486,plain,
( op2(e20,e22) != e20
| op2(e23,e20) = e23
| op2(e21,e20) = e21 ),
inference(renaming,[status(thm)],[c_485]) ).
cnf(c_489,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_339,c_470]) ).
cnf(c_491,plain,
( op2(e23,e21) = e23
| op2(e21,e22) != e21
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_338,c_338,c_337]) ).
cnf(c_492,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e23
| sP5 ),
inference(renaming,[status(thm)],[c_491]) ).
cnf(c_497,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e21
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_330,c_471]) ).
cnf(c_507,plain,
( op1(e12,e10) = e12
| op1(e13,e10) = e13
| op1(e10,e11) != e10 ),
inference(global_subsumption_just,[status(thm)],[c_307,c_307,c_461]) ).
cnf(c_508,plain,
( op1(e10,e11) != e10
| op1(e13,e10) = e13
| op1(e12,e10) = e12 ),
inference(renaming,[status(thm)],[c_507]) ).
cnf(c_513,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e12
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_299,c_478]) ).
cnf(c_537,plain,
( op2(e21,e22) != e21
| op2(e23,e21) = e23
| sP5 ),
inference(global_subsumption_just,[status(thm)],[c_337,c_492]) ).
cnf(c_629,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| sP15
| sP14 ),
inference(global_subsumption_just,[status(thm)],[c_423,c_366,c_384,c_423]) ).
cnf(c_630,negated_conjecture,
( op2(h3(e13),h3(e13)) != h3(op1(e13,e13))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| h3(e13) != e23
| sP15
| sP14 ),
inference(renaming,[status(thm)],[c_629]) ).
cnf(c_5771,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_630,c_508,c_537,c_486,c_513,c_476,c_497,c_489,c_468,c_394,c_389,c_366,c_365,c_364,c_363,c_359,c_355,c_354,c_353,c_352,c_351,c_350,c_349,c_314,c_312,c_274,c_250,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_237,c_232,c_228,c_227,c_226,c_225,c_224,c_223,c_221,c_217,c_213,c_211,c_210,c_209,c_207,c_206,c_203,c_202,c_200,c_199,c_198,c_197,c_196,c_193,c_191,c_189,c_188,c_185,c_184,c_181,c_179,c_173,c_172,c_171,c_169,c_164,c_158,c_156,c_155,c_154,c_153,c_152,c_151,c_150,c_146,c_138,c_131,c_126,c_125,c_113,c_110,c_107,c_106,c_104,c_101,c_100,c_98,c_96,c_91,c_90,c_87,c_84,c_81,c_80,c_70,c_65,c_63,c_56,c_55,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG110+1 : TPTP v8.1.2. Released v2.7.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 22:39:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.13/1.10 % SZS status Started for theBenchmark.p
% 4.13/1.10 % SZS status Theorem for theBenchmark.p
% 4.13/1.10
% 4.13/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.13/1.10
% 4.13/1.10 ------ iProver source info
% 4.13/1.10
% 4.13/1.10 git: date: 2024-05-02 19:28:25 +0000
% 4.13/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.13/1.10 git: non_committed_changes: false
% 4.13/1.10
% 4.13/1.10 ------ Parsing...
% 4.13/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.10
% 4.13/1.10 ------ Preprocessing... sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 4.13/1.10
% 4.13/1.10 ------ Preprocessing...
% 4.13/1.10
% 4.13/1.10 % SZS status Theorem for theBenchmark.p
% 4.13/1.10
% 4.13/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.11
% 4.13/1.11
%------------------------------------------------------------------------------