TSTP Solution File: ALG127+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:03:51 EDT 2024
% Result : Theorem 3.82s 0.94s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f657)
% 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) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) ) )
& ( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e13 = op1(e13,e12) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e13 = op1(e13,e11) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e13,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e12,e13) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e12,e11) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e12,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e11,e13) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e11,e12) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e11,e10) )
| ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e10 = op1(e10,e13) )
| ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e10,e12) )
| ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e10 = op1(e10,e11) )
| ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,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) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) ) )
& ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e23 = op2(e23,e22) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e23,e21) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e23,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e22 = op2(e22,e23) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e22,e21) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e22,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e21,e23) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e21,e22) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e21,e20) )
| ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e20,e23) )
| ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e20 = op2(e20,e22) )
| ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e20 = op2(e20,e21) )
| ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,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(e12,op1(e12,op1(e12,e12)))
& e10 = op1(e12,op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(e22,op2(e22,op2(e22,e22)))
& e20 = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& h1(e11) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e10) = op2(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(e21,op2(e21,op2(e21,e21)))
& h2(e10) = op2(e21,op2(e21,e21))
& e21 = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(e22,op2(e22,op2(e22,e22))) = h3(e11)
& op2(e22,op2(e22,e22)) = h3(e10)
& e22 = h3(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& h4(e11) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e10) = op2(e23,op2(e23,e23))
& e23 = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
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,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e10 = op1(e10,e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e10,e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e10 = op1(e10,e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e11,e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e11,e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e11,e13) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e12,e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e12,e11) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e12,e13) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e13,e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e13 = op1(e13,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e13 = op1(e13,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f37,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f38,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f39,plain,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| sP17
| sP16
| sP15 )
& ( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e13 = op1(e13,e13) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f40,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e20 = op2(e20,e21) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e20 = op2(e20,e22) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e20,e23) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e21,e20) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e21,e22) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e21,e23) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e22,e20) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e22,e21) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f51,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e22 = op2(e22,e23) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e23,e20) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f53,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e23 = op2(e23,e21) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f54,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e23 = op2(e23,e22) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f58,plain,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| sP35
| sP34
| sP33 )
& ( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e23 = op2(e23,e23) )
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ) ),
inference(definition_folding,[],[f11,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40]) ).
fof(f59,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f65,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f66,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f67,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f68,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f69,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f70,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f71,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP47
| sP46
| sP45
| 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) )
| sP44
| sP43
| sP42
| 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) )
| sP41
| sP40
| sP39
| 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) )
| sP38
| sP37
| sP36
| 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,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f72,plain,
( ( ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP17 ),
inference(nnf_transformation,[],[f38]) ).
fof(f73,plain,
( ( ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP16 ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
( ( ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP15 ),
inference(nnf_transformation,[],[f36]) ).
fof(f75,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e13 = op1(e13,e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f76,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e13 = op1(e13,e11) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f77,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e13,e10) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f78,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e12 = op1(e12,e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f79,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e12 = op1(e12,e12) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f80,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e12 = op1(e12,e11) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f81,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e12 = op1(e12,e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f82,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e11 = op1(e11,e13) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f83,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e11 = op1(e11,e12) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f84,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e11 = op1(e11,e11) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f85,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e11 = op1(e11,e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f86,plain,
( ( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 != op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e11 != op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) != e13 )
& e10 = op1(e10,e13) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f87,plain,
( ( ( e13 != op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e11 != op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e10 != op1(e10,e12)
| op1(e10,e10) != e12 )
& e10 = op1(e10,e12) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f88,plain,
( ( ( e13 != op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e12 != op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e10 != op1(e10,e11)
| op1(e10,e10) != e11 )
& e10 = op1(e10,e11) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f89,plain,
( ( ( e13 != op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 != op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& e10 = op1(e10,e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f90,plain,
( ( ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f91,plain,
( ( ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f92,plain,
( ( ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f93,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e23 = op2(e23,e22) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f95,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e23,e20) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f96,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e22 = op2(e22,e23) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f97,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e22 = op2(e22,e22) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f98,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e22 = op2(e22,e21) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f99,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e22 = op2(e22,e20) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f100,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e21 = op2(e21,e23) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f101,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e21 = op2(e21,e22) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f102,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e21 = op2(e21,e21) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f103,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e21 = op2(e21,e20) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f104,plain,
( ( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e22 != op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e21 != op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) != e23 )
& e20 = op2(e20,e23) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f105,plain,
( ( ( e23 != op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e21 != op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) != e22 )
& e20 = op2(e20,e22) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f106,plain,
( ( ( e23 != op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e22 != op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) != e21 )
& e20 = op2(e20,e21) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f107,plain,
( ( ( e23 != op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 != op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 != op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& e20 = op2(e20,e20) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f108,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP47 ),
inference(nnf_transformation,[],[f70]) ).
fof(f109,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP46 ),
inference(nnf_transformation,[],[f69]) ).
fof(f110,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP45 ),
inference(nnf_transformation,[],[f68]) ).
fof(f111,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP44 ),
inference(nnf_transformation,[],[f67]) ).
fof(f112,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f113,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f120,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f124,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f125,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f126,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f127,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f133,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f135,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f136,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f170,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f172,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f173,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f178,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f217,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f228,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f229,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f231,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f233,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f239,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f240,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f241,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f243,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f256,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f258,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f260,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f264,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f265,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f267,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f270,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f271,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f279,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f283,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f286,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f288,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f289,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f291,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f294,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f295,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f297,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f298,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f303,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f304,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f306,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f308,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f311,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f312,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f313,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f314,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f315,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f316,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f317,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f318,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f321,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f322,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f323,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f340,plain,
( e12 = op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f72]) ).
fof(f345,plain,
( e11 = op1(e11,e11)
| ~ sP16 ),
inference(cnf_transformation,[],[f73]) ).
fof(f349,plain,
( e13 = op1(e13,e11)
| e11 != op1(e13,e13)
| ~ sP16 ),
inference(cnf_transformation,[],[f73]) ).
fof(f350,plain,
( e10 = op1(e10,e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f74]) ).
fof(f352,plain,
( e11 = op1(e11,e10)
| e10 != op1(e11,e11)
| ~ sP15 ),
inference(cnf_transformation,[],[f74]) ).
fof(f355,plain,
( e13 = op1(e13,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f75]) ).
fof(f360,plain,
( e13 = op1(e13,e11)
| ~ sP13 ),
inference(cnf_transformation,[],[f76]) ).
fof(f365,plain,
( e13 = op1(e13,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f77]) ).
fof(f370,plain,
( e12 = op1(e12,e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f78]) ).
fof(f373,plain,
( e12 != op1(e12,e13)
| e13 != op1(e12,e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f78]) ).
fof(f375,plain,
( e12 = op1(e12,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f79]) ).
fof(f380,plain,
( e12 = op1(e12,e11)
| ~ sP9 ),
inference(cnf_transformation,[],[f80]) ).
fof(f385,plain,
( e12 = op1(e12,e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f81]) ).
fof(f390,plain,
( e11 = op1(e11,e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f82]) ).
fof(f395,plain,
( e11 = op1(e11,e12)
| ~ sP6 ),
inference(cnf_transformation,[],[f83]) ).
fof(f400,plain,
( e11 = op1(e11,e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f84]) ).
fof(f405,plain,
( e11 = op1(e11,e10)
| ~ sP4 ),
inference(cnf_transformation,[],[f85]) ).
fof(f410,plain,
( e10 = op1(e10,e13)
| ~ sP3 ),
inference(cnf_transformation,[],[f86]) ).
fof(f411,plain,
( e10 != op1(e10,e13)
| op1(e10,e10) != e13
| ~ sP3 ),
inference(cnf_transformation,[],[f86]) ).
fof(f415,plain,
( e10 = op1(e10,e12)
| ~ sP2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f416,plain,
( e10 != op1(e10,e12)
| op1(e10,e10) != e12
| ~ sP2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f420,plain,
( e10 = op1(e10,e11)
| ~ sP1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f425,plain,
( e10 = op1(e10,e10)
| ~ sP0 ),
inference(cnf_transformation,[],[f89]) ).
fof(f430,plain,
( e13 = op1(e13,e13)
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f433,plain,
( e12 != op1(e12,e13)
| e13 != op1(e12,e12)
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f438,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12)
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f39]) ).
fof(f440,plain,
( e22 = op2(e22,e22)
| ~ sP35 ),
inference(cnf_transformation,[],[f90]) ).
fof(f445,plain,
( e21 = op2(e21,e21)
| ~ sP34 ),
inference(cnf_transformation,[],[f91]) ).
fof(f450,plain,
( e20 = op2(e20,e20)
| ~ sP33 ),
inference(cnf_transformation,[],[f92]) ).
fof(f452,plain,
( e21 = op2(e21,e20)
| e20 != op2(e21,e21)
| ~ sP33 ),
inference(cnf_transformation,[],[f92]) ).
fof(f455,plain,
( e23 = op2(e23,e22)
| ~ sP32 ),
inference(cnf_transformation,[],[f93]) ).
fof(f465,plain,
( e23 = op2(e23,e20)
| ~ sP30 ),
inference(cnf_transformation,[],[f95]) ).
fof(f470,plain,
( e22 = op2(e22,e23)
| ~ sP29 ),
inference(cnf_transformation,[],[f96]) ).
fof(f473,plain,
( e22 != op2(e22,e23)
| e23 != op2(e22,e22)
| ~ sP29 ),
inference(cnf_transformation,[],[f96]) ).
fof(f475,plain,
( e22 = op2(e22,e22)
| ~ sP28 ),
inference(cnf_transformation,[],[f97]) ).
fof(f480,plain,
( e22 = op2(e22,e21)
| ~ sP27 ),
inference(cnf_transformation,[],[f98]) ).
fof(f485,plain,
( e22 = op2(e22,e20)
| ~ sP26 ),
inference(cnf_transformation,[],[f99]) ).
fof(f490,plain,
( e21 = op2(e21,e23)
| ~ sP25 ),
inference(cnf_transformation,[],[f100]) ).
fof(f495,plain,
( e21 = op2(e21,e22)
| ~ sP24 ),
inference(cnf_transformation,[],[f101]) ).
fof(f500,plain,
( e21 = op2(e21,e21)
| ~ sP23 ),
inference(cnf_transformation,[],[f102]) ).
fof(f505,plain,
( e21 = op2(e21,e20)
| ~ sP22 ),
inference(cnf_transformation,[],[f103]) ).
fof(f510,plain,
( e20 = op2(e20,e23)
| ~ sP21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f512,plain,
( e21 != op2(e21,e23)
| e23 != op2(e21,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f104]) ).
fof(f515,plain,
( e20 = op2(e20,e22)
| ~ sP20 ),
inference(cnf_transformation,[],[f105]) ).
fof(f520,plain,
( e20 = op2(e20,e21)
| ~ sP19 ),
inference(cnf_transformation,[],[f106]) ).
fof(f525,plain,
( e20 = op2(e20,e20)
| ~ sP18 ),
inference(cnf_transformation,[],[f107]) ).
fof(f530,plain,
( e23 = op2(e23,e23)
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f58]) ).
fof(f533,plain,
( e22 != op2(e22,e23)
| e23 != op2(e22,e22)
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f58]) ).
fof(f537,plain,
( e21 = op2(e21,e23)
| e23 != op2(e21,e21)
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f58]) ).
fof(f538,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22)
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f58]) ).
fof(f540,plain,
e10 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f541,plain,
e11 = op1(e12,op1(e12,op1(e12,e12))),
inference(cnf_transformation,[],[f12]) ).
fof(f542,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f543,plain,
e20 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f544,plain,
e21 = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[],[f13]) ).
fof(f545,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f549,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f553,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f554,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f555,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f556,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f557,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f558,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f559,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f560,plain,
h4(e11) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[],[f17]) ).
fof(f561,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f565,plain,
( e22 != h4(e13)
| ~ sP47 ),
inference(cnf_transformation,[],[f108]) ).
fof(f566,plain,
( e21 != h4(e10)
| ~ sP46 ),
inference(cnf_transformation,[],[f109]) ).
fof(f571,plain,
( e20 != h4(e11)
| ~ sP45 ),
inference(cnf_transformation,[],[f110]) ).
fof(f576,plain,
( e22 != h3(e12)
| ~ sP44 ),
inference(cnf_transformation,[],[f111]) ).
fof(f578,plain,
( e21 != h3(e10)
| ~ sP43 ),
inference(cnf_transformation,[],[f112]) ).
fof(f579,plain,
( e21 != h3(e11)
| ~ sP43 ),
inference(cnf_transformation,[],[f112]) ).
fof(f582,plain,
( e20 != h3(e10)
| ~ sP42 ),
inference(cnf_transformation,[],[f113]) ).
fof(f621,plain,
( e23 != h3(e13)
| sP44
| sP43
| sP42
| 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,[],[f71]) ).
fof(f622,plain,
( e23 != h4(e10)
| sP47
| sP46
| sP45
| 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,[],[f71]) ).
fof(f624,plain,
( e23 != h4(e12)
| sP47
| sP46
| sP45
| 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,[],[f71]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_51,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_57,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_58,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_59,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_60,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_62,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_63,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_67,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_69,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_70,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_77,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_81,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_82,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_85,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_88,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_89,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_90,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_95,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_106,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_108,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_110,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_111,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_115,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_118,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_120,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_129,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_130,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_134,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_135,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f193]) ).
cnf(c_136,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_137,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_138,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_140,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_142,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_143,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_144,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_148,plain,
op1(e13,e13) != op1(e13,e10),
inference(cnf_transformation,[],[f260]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f258]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f256]) ).
cnf(c_153,plain,
op1(e12,e12) != op1(e12,e11),
inference(cnf_transformation,[],[f255]) ).
cnf(c_156,plain,
op1(e12,e11) != op1(e12,e10),
inference(cnf_transformation,[],[f252]) ).
cnf(c_158,plain,
op1(e11,e13) != op1(e11,e11),
inference(cnf_transformation,[],[f250]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f249]) ).
cnf(c_160,plain,
op1(e11,e13) != op1(e11,e10),
inference(cnf_transformation,[],[f248]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f246]) ).
cnf(c_165,plain,
op1(e10,e12) != op1(e10,e11),
inference(cnf_transformation,[],[f243]) ).
cnf(c_167,plain,
op1(e10,e12) != op1(e10,e10),
inference(cnf_transformation,[],[f241]) ).
cnf(c_168,plain,
op1(e10,e11) != op1(e10,e10),
inference(cnf_transformation,[],[f240]) ).
cnf(c_169,plain,
op1(e13,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f239]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f237]) ).
cnf(c_173,plain,
op1(e12,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f235]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f233]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f231]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f229]) ).
cnf(c_180,plain,
op1(e11,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f228]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f227]) ).
cnf(c_182,plain,
op1(e13,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f226]) ).
cnf(c_183,plain,
op1(e12,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f225]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f224]) ).
cnf(c_185,plain,
op1(e12,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f223]) ).
cnf(c_186,plain,
op1(e11,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f222]) ).
cnf(c_187,plain,
op1(e13,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f221]) ).
cnf(c_188,plain,
op1(e13,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f220]) ).
cnf(c_189,plain,
op1(e12,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f219]) ).
cnf(c_191,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f217]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f216]) ).
cnf(c_193,plain,
op2(e23,e23) != op2(e23,e22),
inference(cnf_transformation,[],[f311]) ).
cnf(c_196,plain,
op2(e23,e23) != op2(e23,e20),
inference(cnf_transformation,[],[f308]) ).
cnf(c_198,plain,
op2(e23,e21) != op2(e23,e20),
inference(cnf_transformation,[],[f306]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f304]) ).
cnf(c_201,plain,
op2(e22,e22) != op2(e22,e21),
inference(cnf_transformation,[],[f303]) ).
cnf(c_204,plain,
op2(e22,e21) != op2(e22,e20),
inference(cnf_transformation,[],[f300]) ).
cnf(c_205,plain,
op2(e21,e23) != op2(e21,e22),
inference(cnf_transformation,[],[f299]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f298]) ).
cnf(c_207,plain,
op2(e21,e22) != op2(e21,e21),
inference(cnf_transformation,[],[f297]) ).
cnf(c_209,plain,
op2(e21,e22) != op2(e21,e20),
inference(cnf_transformation,[],[f295]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f294]) ).
cnf(c_213,plain,
op2(e20,e22) != op2(e20,e21),
inference(cnf_transformation,[],[f291]) ).
cnf(c_215,plain,
op2(e20,e22) != op2(e20,e20),
inference(cnf_transformation,[],[f289]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f288]) ).
cnf(c_217,plain,
op2(e23,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f287]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f286]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f285]) ).
cnf(c_221,plain,
op2(e22,e23) != op2(e20,e23),
inference(cnf_transformation,[],[f283]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f281]) ).
cnf(c_225,plain,
op2(e22,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f279]) ).
cnf(c_226,plain,
op2(e23,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f278]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f277]) ).
cnf(c_228,plain,
op2(e21,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f276]) ).
cnf(c_231,plain,
op2(e22,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f273]) ).
cnf(c_233,plain,
op2(e22,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f271]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f270]) ).
cnf(c_235,plain,
op2(e23,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f269]) ).
cnf(c_236,plain,
op2(e23,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f268]) ).
cnf(c_237,plain,
op2(e22,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f267]) ).
cnf(c_239,plain,
op2(e22,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f265]) ).
cnf(c_240,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f264]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f317]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f316]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f315]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f314]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f313]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f312]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f323]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f322]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f321]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f320]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f319]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f318]) ).
cnf(c_272,plain,
( ~ sP17
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_273,plain,
( op1(e13,e13) != e11
| ~ sP16
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_276,plain,
( ~ sP16
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_279,plain,
( op1(e11,e11) != e10
| ~ sP15
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_280,plain,
( ~ sP15
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_285,plain,
( ~ sP14
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_288,plain,
( op1(e11,e11) != e11
| ~ sP13 ),
inference(cnf_transformation,[],[f627]) ).
cnf(c_290,plain,
( ~ sP13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_294,plain,
( op1(e10,e10) != e10
| ~ sP12 ),
inference(cnf_transformation,[],[f628]) ).
cnf(c_295,plain,
( ~ sP12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_297,plain,
( op1(e12,e13) != e12
| op1(e12,e12) != e13
| ~ sP11 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_300,plain,
( ~ sP11
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_302,plain,
( op1(e12,e12) != e12
| ~ sP10 ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_305,plain,
( ~ sP10
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_308,plain,
( op1(e11,e11) != e11
| ~ sP9 ),
inference(cnf_transformation,[],[f631]) ).
cnf(c_310,plain,
( ~ sP9
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_315,plain,
( ~ sP8
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_320,plain,
( ~ sP7
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_325,plain,
( ~ sP6
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[],[f395]) ).
cnf(c_328,plain,
( op1(e11,e11) != e11
| ~ sP5 ),
inference(cnf_transformation,[],[f635]) ).
cnf(c_330,plain,
( ~ sP5
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_335,plain,
( ~ sP4
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_339,plain,
( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP3 ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_340,plain,
( ~ sP3
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_344,plain,
( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP2 ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_345,plain,
( ~ sP2
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_348,plain,
( op1(e11,e11) != e11
| ~ sP1 ),
inference(cnf_transformation,[],[f639]) ).
cnf(c_350,plain,
( ~ sP1
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_354,plain,
( op1(e10,e10) != e10
| ~ sP0 ),
inference(cnf_transformation,[],[f640]) ).
cnf(c_355,plain,
( ~ sP0
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_356,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f438]) ).
cnf(c_360,plain,
( op1(e13,e13) != e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f641]) ).
cnf(c_361,plain,
( op1(e12,e13) != e12
| op1(e12,e12) != e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_364,plain,
( op1(e13,e13) = e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f430]) ).
cnf(c_368,plain,
( ~ sP35
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f440]) ).
cnf(c_372,plain,
( ~ sP34
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_375,plain,
( op2(e21,e21) != e20
| ~ sP33
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_376,plain,
( ~ sP33
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_381,plain,
( ~ sP32
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],[f455]) ).
cnf(c_384,plain,
( op2(e21,e21) != e21
| ~ sP31 ),
inference(cnf_transformation,[],[f643]) ).
cnf(c_390,plain,
( op2(e20,e20) != e20
| ~ sP30 ),
inference(cnf_transformation,[],[f644]) ).
cnf(c_391,plain,
( ~ sP30
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_393,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23
| ~ sP29 ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_396,plain,
( ~ sP29
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],[f470]) ).
cnf(c_398,plain,
( op2(e22,e22) != e22
| ~ sP28 ),
inference(cnf_transformation,[],[f646]) ).
cnf(c_401,plain,
( ~ sP28
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f475]) ).
cnf(c_404,plain,
( op2(e21,e21) != e21
| ~ sP27 ),
inference(cnf_transformation,[],[f647]) ).
cnf(c_406,plain,
( ~ sP27
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[],[f480]) ).
cnf(c_411,plain,
( ~ sP26
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f485]) ).
cnf(c_416,plain,
( ~ sP25
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_421,plain,
( ~ sP24
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[],[f495]) ).
cnf(c_424,plain,
( op2(e21,e21) != e21
| ~ sP23 ),
inference(cnf_transformation,[],[f651]) ).
cnf(c_426,plain,
( ~ sP23
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f500]) ).
cnf(c_431,plain,
( ~ sP22
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f505]) ).
cnf(c_434,plain,
( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP21 ),
inference(cnf_transformation,[],[f512]) ).
cnf(c_436,plain,
( ~ sP21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],[f510]) ).
cnf(c_441,plain,
( ~ sP20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f515]) ).
cnf(c_444,plain,
( op2(e21,e21) != e21
| ~ sP19 ),
inference(cnf_transformation,[],[f655]) ).
cnf(c_446,plain,
( ~ sP19
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f520]) ).
cnf(c_450,plain,
( op2(e20,e20) != e20
| ~ sP18 ),
inference(cnf_transformation,[],[f656]) ).
cnf(c_451,plain,
( ~ sP18
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f525]) ).
cnf(c_452,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_453,plain,
( op2(e21,e21) != e23
| op2(e21,e23) = e21
| sP35
| sP34
| sP33 ),
inference(cnf_transformation,[],[f537]) ).
cnf(c_456,plain,
( op2(e23,e23) != e23
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f657]) ).
cnf(c_457,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_460,plain,
( op2(e23,e23) = e23
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18 ),
inference(cnf_transformation,[],[f530]) ).
cnf(c_461,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[],[f542]) ).
cnf(c_462,plain,
op1(e12,op1(e12,op1(e12,e12))) = e11,
inference(cnf_transformation,[],[f541]) ).
cnf(c_463,plain,
op1(e12,op1(e12,e12)) = e10,
inference(cnf_transformation,[],[f540]) ).
cnf(c_464,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f545]) ).
cnf(c_465,plain,
op2(e22,op2(e22,op2(e22,e22))) = e21,
inference(cnf_transformation,[],[f544]) ).
cnf(c_466,plain,
op2(e22,op2(e22,e22)) = e20,
inference(cnf_transformation,[],[f543]) ).
cnf(c_467,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f549]) ).
cnf(c_471,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f553]) ).
cnf(c_475,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f557]) ).
cnf(c_476,plain,
op2(e22,op2(e22,op2(e22,e22))) = h3(e11),
inference(cnf_transformation,[],[f556]) ).
cnf(c_477,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f555]) ).
cnf(c_478,plain,
h3(e12) = e22,
inference(cnf_transformation,[],[f554]) ).
cnf(c_479,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f561]) ).
cnf(c_480,plain,
op2(e23,op2(e23,op2(e23,e23))) = h4(e11),
inference(cnf_transformation,[],[f560]) ).
cnf(c_481,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f559]) ).
cnf(c_482,plain,
h4(e12) = e23,
inference(cnf_transformation,[],[f558]) ).
cnf(c_483,plain,
( h4(e13) != e22
| ~ sP47 ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_490,plain,
( h4(e10) != e21
| ~ sP46 ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_493,plain,
( h4(e11) != e20
| ~ sP45 ),
inference(cnf_transformation,[],[f571]) ).
cnf(c_496,plain,
( h3(e12) != e22
| ~ sP44 ),
inference(cnf_transformation,[],[f576]) ).
cnf(c_501,plain,
( h3(e11) != e21
| ~ sP43 ),
inference(cnf_transformation,[],[f579]) ).
cnf(c_502,plain,
( h3(e10) != e21
| ~ sP43 ),
inference(cnf_transformation,[],[f578]) ).
cnf(c_506,plain,
( h3(e10) != e20
| ~ sP42 ),
inference(cnf_transformation,[],[f582]) ).
cnf(c_532,negated_conjecture,
( 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))
| h4(e12) != e23
| sP47
| sP46
| sP45 ),
inference(cnf_transformation,[],[f624]) ).
cnf(c_534,negated_conjecture,
( 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))
| h4(e10) != e23
| sP47
| sP46
| sP45 ),
inference(cnf_transformation,[],[f622]) ).
cnf(c_535,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
| sP44
| sP43
| sP42 ),
inference(cnf_transformation,[],[f621]) ).
cnf(c_571,plain,
~ sP18,
inference(global_subsumption_just,[status(thm)],[c_451,c_451,c_450]) ).
cnf(c_573,plain,
~ sP23,
inference(global_subsumption_just,[status(thm)],[c_426,c_426,c_424]) ).
cnf(c_575,plain,
~ sP28,
inference(global_subsumption_just,[status(thm)],[c_401,c_401,c_398]) ).
cnf(c_577,plain,
~ sP29,
inference(global_subsumption_just,[status(thm)],[c_396,c_464,c_396,c_393]) ).
cnf(c_579,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_355,c_355,c_354]) ).
cnf(c_581,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_330,c_330,c_328]) ).
cnf(c_583,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_305,c_305,c_302]) ).
cnf(c_585,plain,
~ sP11,
inference(global_subsumption_just,[status(thm)],[c_300,c_461,c_300,c_297]) ).
cnf(c_603,plain,
( op2(e22,e23) = e22
| sP35
| sP34
| sP33 ),
inference(global_subsumption_just,[status(thm)],[c_452,c_464,c_452]) ).
cnf(c_655,plain,
( op1(e12,e13) = e12
| sP17
| sP16
| sP15 ),
inference(global_subsumption_just,[status(thm)],[c_356,c_461,c_356]) ).
cnf(c_665,plain,
( op1(e10,e10) != e12
| ~ sP2 ),
inference(global_subsumption_just,[status(thm)],[c_344,c_345,c_344]) ).
cnf(c_667,plain,
( op1(e10,e10) != e13
| ~ sP3 ),
inference(global_subsumption_just,[status(thm)],[c_339,c_340,c_339]) ).
cnf(c_707,plain,
( sP19
| sP20
| sP21
| sP22
| sP32
| sP31
| sP30
| sP27
| sP26
| sP25
| sP24 ),
inference(global_subsumption_just,[status(thm)],[c_460,c_460,c_456,c_571,c_573,c_575,c_577]) ).
cnf(c_708,plain,
( sP32
| sP31
| sP30
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19 ),
inference(renaming,[status(thm)],[c_707]) ).
cnf(c_709,plain,
( sP1
| sP2
| sP3
| sP4
| sP14
| sP13
| sP12
| sP9
| sP8
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_364,c_364,c_360,c_579,c_581,c_583,c_585]) ).
cnf(c_710,plain,
( sP14
| sP13
| sP12
| sP9
| sP8
| sP7
| sP6
| sP4
| sP3
| sP2
| sP1 ),
inference(renaming,[status(thm)],[c_709]) ).
cnf(c_719,plain,
op2(e22,e22) = e23,
inference(global_subsumption_just,[status(thm)],[c_102,c_464]) ).
cnf(c_725,plain,
op1(e12,e12) = e13,
inference(global_subsumption_just,[status(thm)],[c_54,c_461]) ).
cnf(c_731,plain,
( sP19
| sP20
| sP21
| sP22
| sP32
| sP31
| sP30
| sP27
| sP26
| sP25
| sP24 ),
inference(global_subsumption_just,[status(thm)],[c_457,c_708]) ).
cnf(c_732,plain,
( sP32
| sP31
| sP30
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19 ),
inference(renaming,[status(thm)],[c_731]) ).
cnf(c_737,plain,
( sP1
| sP2
| sP3
| sP4
| sP14
| sP13
| sP12
| sP9
| sP8
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_361,c_710]) ).
cnf(c_738,plain,
( sP14
| sP13
| sP12
| sP9
| sP8
| sP7
| sP6
| sP4
| sP3
| sP2
| sP1 ),
inference(renaming,[status(thm)],[c_737]) ).
cnf(c_761,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))
| sP43
| sP42 ),
inference(global_subsumption_just,[status(thm)],[c_535,c_478,c_496,c_535]) ).
cnf(c_762,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
| sP43
| sP42 ),
inference(renaming,[status(thm)],[c_761]) ).
cnf(c_763,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))
| sP47
| sP46
| sP45 ),
inference(global_subsumption_just,[status(thm)],[c_534,c_482,c_532]) ).
cnf(c_764,negated_conjecture,
( 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))
| sP47
| sP46
| sP45 ),
inference(renaming,[status(thm)],[c_763]) ).
cnf(c_767,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))
| sP47
| sP46
| sP45 ),
inference(global_subsumption_just,[status(thm)],[c_532,c_764]) ).
cnf(c_768,negated_conjecture,
( 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))
| sP47
| sP46
| sP45 ),
inference(renaming,[status(thm)],[c_767]) ).
cnf(c_3211,plain,
h3(e13) = e23,
inference(light_normalisation,[status(thm)],[c_475,c_719]) ).
cnf(c_3223,plain,
op2(e22,e23) = e20,
inference(light_normalisation,[status(thm)],[c_466,c_719]) ).
cnf(c_3224,plain,
op1(e12,e13) = e10,
inference(light_normalisation,[status(thm)],[c_463,c_725]) ).
cnf(c_3225,plain,
( ~ sP33
| h1(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_376,c_467]) ).
cnf(c_3226,plain,
( ~ sP34
| h2(e13) = e21 ),
inference(light_normalisation,[status(thm)],[c_372,c_471]) ).
cnf(c_3227,plain,
( ~ sP35
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_368,c_719]) ).
cnf(c_3228,plain,
( ~ sP17
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_272,c_725]) ).
cnf(c_3233,plain,
( e12 = e10
| sP17
| sP16
| sP15 ),
inference(light_normalisation,[status(thm)],[c_655,c_3224]) ).
cnf(c_3247,plain,
( e22 = e20
| sP35
| sP34
| sP33 ),
inference(light_normalisation,[status(thm)],[c_603,c_3223]) ).
cnf(c_3248,plain,
op2(e23,h4(e13)) = h4(e10),
inference(light_normalisation,[status(thm)],[c_481,c_479]) ).
cnf(c_3249,plain,
h3(e10) = e20,
inference(light_normalisation,[status(thm)],[c_477,c_719,c_3223]) ).
cnf(c_3253,plain,
( h2(e13) != e21
| ~ sP19 ),
inference(light_normalisation,[status(thm)],[c_444,c_471]) ).
cnf(c_3260,plain,
( h2(e13) != e21
| ~ sP27 ),
inference(light_normalisation,[status(thm)],[c_404,c_471]) ).
cnf(c_3261,plain,
( h1(e13) != e20
| ~ sP30 ),
inference(light_normalisation,[status(thm)],[c_390,c_467]) ).
cnf(c_3262,plain,
( h2(e13) != e21
| ~ sP31 ),
inference(light_normalisation,[status(thm)],[c_384,c_471]) ).
cnf(c_3267,plain,
op2(e21,e20) != h1(e13),
inference(light_normalisation,[status(thm)],[c_240,c_467]) ).
cnf(c_3268,plain,
op2(e22,e20) != h1(e13),
inference(light_normalisation,[status(thm)],[c_239,c_467]) ).
cnf(c_3270,plain,
op2(e20,e21) != h2(e13),
inference(light_normalisation,[status(thm)],[c_234,c_471]) ).
cnf(c_3271,plain,
op2(e22,e21) != h2(e13),
inference(light_normalisation,[status(thm)],[c_231,c_471]) ).
cnf(c_3273,plain,
op2(e20,e22) != e23,
inference(light_normalisation,[status(thm)],[c_227,c_719]) ).
cnf(c_3274,plain,
op2(e21,e22) != e23,
inference(light_normalisation,[status(thm)],[c_225,c_719]) ).
cnf(c_3275,plain,
op2(e23,e22) != e23,
inference(light_normalisation,[status(thm)],[c_223,c_719]) ).
cnf(c_3276,plain,
op2(e20,e23) != e20,
inference(light_normalisation,[status(thm)],[c_221,c_3223]) ).
cnf(c_3278,plain,
op2(e21,e23) != e20,
inference(light_normalisation,[status(thm)],[c_219,c_3223]) ).
cnf(c_3279,plain,
op2(e21,e23) != h4(e13),
inference(light_normalisation,[status(thm)],[c_218,c_479]) ).
cnf(c_3280,plain,
h4(e13) != e20,
inference(light_normalisation,[status(thm)],[c_217,c_479,c_3223]) ).
cnf(c_3281,plain,
op2(e20,e21) != h1(e13),
inference(light_normalisation,[status(thm)],[c_216,c_467]) ).
cnf(c_3282,plain,
op2(e20,e22) != h1(e13),
inference(light_normalisation,[status(thm)],[c_215,c_467]) ).
cnf(c_3284,plain,
op2(e21,e20) != h2(e13),
inference(light_normalisation,[status(thm)],[c_210,c_471]) ).
cnf(c_3285,plain,
op2(e21,e22) != h2(e13),
inference(light_normalisation,[status(thm)],[c_207,c_471]) ).
cnf(c_3286,plain,
op2(e21,e23) != h2(e13),
inference(light_normalisation,[status(thm)],[c_206,c_471]) ).
cnf(c_3289,plain,
op2(e22,e21) != e23,
inference(light_normalisation,[status(thm)],[c_201,c_719]) ).
cnf(c_3290,plain,
op2(e22,e21) != e20,
inference(light_normalisation,[status(thm)],[c_200,c_3223]) ).
cnf(c_3292,plain,
op2(e23,e20) != h4(e13),
inference(light_normalisation,[status(thm)],[c_196,c_479]) ).
cnf(c_3294,plain,
op2(e23,e22) != h4(e13),
inference(light_normalisation,[status(thm)],[c_193,c_479]) ).
cnf(c_3295,plain,
op1(e10,e12) != e13,
inference(light_normalisation,[status(thm)],[c_179,c_725]) ).
cnf(c_3296,plain,
op1(e11,e12) != e13,
inference(light_normalisation,[status(thm)],[c_177,c_725]) ).
cnf(c_3297,plain,
op1(e13,e12) != e13,
inference(light_normalisation,[status(thm)],[c_175,c_725]) ).
cnf(c_3298,plain,
op1(e10,e13) != e10,
inference(light_normalisation,[status(thm)],[c_173,c_3224]) ).
cnf(c_3299,plain,
op1(e11,e13) != e10,
inference(light_normalisation,[status(thm)],[c_171,c_3224]) ).
cnf(c_3300,plain,
op1(e13,e13) != e10,
inference(light_normalisation,[status(thm)],[c_169,c_3224]) ).
cnf(c_3303,plain,
op1(e12,e11) != e13,
inference(light_normalisation,[status(thm)],[c_153,c_725]) ).
cnf(c_3304,plain,
op1(e12,e11) != e10,
inference(light_normalisation,[status(thm)],[c_152,c_3224]) ).
cnf(c_3306,plain,
op2(e22,e20) = e21,
inference(light_normalisation,[status(thm)],[c_465,c_719,c_3223]) ).
cnf(c_3307,plain,
op1(e12,e10) = e11,
inference(light_normalisation,[status(thm)],[c_462,c_725,c_3224]) ).
cnf(c_3308,plain,
op2(e23,h4(e10)) = h4(e11),
inference(light_normalisation,[status(thm)],[c_480,c_479,c_3248]) ).
cnf(c_3309,plain,
h3(e11) = e21,
inference(light_normalisation,[status(thm)],[c_476,c_719,c_3223,c_3306]) ).
cnf(c_3312,plain,
( h2(e13) != e20
| ~ sP33
| op2(e21,e20) = e21 ),
inference(light_normalisation,[status(thm)],[c_375,c_471]) ).
cnf(c_3324,plain,
( h2(e13) != e23
| op2(e21,e23) = e21
| sP35
| sP34
| sP33 ),
inference(light_normalisation,[status(thm)],[c_453,c_471]) ).
cnf(c_3328,plain,
( op2(e21,e23) != e21
| h2(e13) != e23
| ~ sP21 ),
inference(light_normalisation,[status(thm)],[c_434,c_471]) ).
cnf(c_3346,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| h1(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_144,c_467]) ).
cnf(c_3347,plain,
( op2(e23,e20) = e20
| op2(e21,e20) = e20
| h1(e13) = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_143,c_467,c_3306]) ).
cnf(c_3348,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e13) = e21 ),
inference(light_normalisation,[status(thm)],[c_142,c_467]) ).
cnf(c_3349,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| h1(e13) = e22 ),
inference(light_normalisation,[status(thm)],[c_140,c_467]) ).
cnf(c_3351,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| h1(e13) = e23 ),
inference(light_normalisation,[status(thm)],[c_138,c_467]) ).
cnf(c_3352,plain,
( op2(e23,e20) = e23
| op2(e21,e20) = e23
| h1(e13) = e23
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_137,c_467,c_3306]) ).
cnf(c_3353,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e20) = e20
| h2(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_136,c_471]) ).
cnf(c_3354,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e20,e21) = e20
| h2(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_135,c_471]) ).
cnf(c_3355,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e20) = e21
| h2(e13) = e21 ),
inference(light_normalisation,[status(thm)],[c_134,c_471]) ).
cnf(c_3359,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e20) = e23
| h2(e13) = e23 ),
inference(light_normalisation,[status(thm)],[c_130,c_471]) ).
cnf(c_3360,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e20,e21) = e23
| h2(e13) = e23 ),
inference(light_normalisation,[status(thm)],[c_129,c_471]) ).
cnf(c_3362,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_125,c_719]) ).
cnf(c_3363,plain,
( op2(e22,e21) = e22
| e23 = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_124,c_719,c_3223,c_3306]) ).
cnf(c_3365,plain,
( op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20
| h4(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_120,c_479]) ).
cnf(c_3366,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21
| h4(e13) = e21 ),
inference(light_normalisation,[status(thm)],[c_118,c_479]) ).
cnf(c_3369,plain,
( op2(e21,e23) = e22
| op2(e20,e23) = e22
| h4(e13) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_115,c_479,c_3223]) ).
cnf(c_3370,plain,
( op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23
| h4(e13) = e23 ),
inference(light_normalisation,[status(thm)],[c_114,c_479]) ).
cnf(c_3373,plain,
( h2(e13) = e23
| h2(e13) = e22
| h2(e13) = e21
| h2(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_107,c_471]) ).
cnf(c_3374,plain,
( h4(e13) = e23
| h4(e13) = e22
| h4(e13) = e21
| h4(e13) = e20 ),
inference(light_normalisation,[status(thm)],[c_97,c_479]) ).
cnf(c_3375,plain,
( op1(e13,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_95,c_3307]) ).
cnf(c_3377,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_89,c_3307]) ).
cnf(c_3379,plain,
( op1(e13,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_77,c_725]) ).
cnf(c_3380,plain,
( op1(e12,e11) = e12
| e13 = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_76,c_725,c_3224,c_3307]) ).
cnf(c_3382,plain,
( op1(e13,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_69,c_3224]) ).
cnf(c_3383,plain,
( op1(e13,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_67,c_3224]) ).
cnf(c_3385,plain,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| 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(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e13),e23) != h4(op1(e13,e12))
| op2(h4(e11),e23) != h4(op1(e11,e12))
| op2(h4(e10),e23) != h4(op1(e10,e12))
| op2(e23,h4(e11)) != h4(op1(e12,e11))
| h4(e13) != h4(e13)
| h4(e11) != h4(e11)
| h4(e10) != h4(e10)
| sP47
| sP46
| sP45 ),
inference(light_normalisation,[status(thm)],[c_768,c_725,c_479,c_482,c_3224,c_3248,c_3307,c_3308]) ).
cnf(c_3386,plain,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| 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(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| op2(h4(e13),e23) != h4(op1(e13,e12))
| op2(h4(e11),e23) != h4(op1(e11,e12))
| op2(h4(e10),e23) != h4(op1(e10,e12))
| op2(e23,h4(e11)) != h4(op1(e12,e11))
| sP47
| sP46
| sP45 ),
inference(equality_resolution_simp,[status(thm)],[c_3385]) ).
cnf(c_3387,plain,
( h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13)
| h3(e13) != e23
| e23 != e23
| e21 != e21
| e20 != e20
| sP43
| sP42 ),
inference(light_normalisation,[status(thm)],[c_762,c_725,c_719,c_467,c_471,c_478,c_479,c_3211,c_3223,c_3224,c_3249,c_3306,c_3307,c_3309]) ).
cnf(c_3388,plain,
( h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13)
| h3(e13) != e23
| sP43
| sP42 ),
inference(equality_resolution_simp,[status(thm)],[c_3387]) ).
cnf(c_3389,plain,
( h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13)
| e23 != e23
| sP43
| sP42 ),
inference(demodulation,[status(thm)],[c_3388,c_3211]) ).
cnf(c_3390,plain,
( h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13)
| sP43
| sP42 ),
inference(equality_resolution_simp,[status(thm)],[c_3389]) ).
cnf(c_3421,plain,
( h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13)
| h3(e10) != e21
| sP42 ),
inference(resolution,[status(thm)],[c_3390,c_502]) ).
cnf(c_3422,plain,
( h3(op1(e13,e13)) != h4(e13)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e10,e13)) != op2(e20,e23)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != h1(e13) ),
inference(global_subsumption_just,[status(thm)],[c_3421,c_506,c_501,c_3249,c_3309,c_3390]) ).
cnf(c_4902,plain,
( op1(e10,e10) = e10
| e12 = e10
| sP17
| sP16 ),
inference(resolution,[status(thm)],[c_3233,c_280]) ).
cnf(c_4903,plain,
( op1(e10,e10) = e10
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_4902,c_245,c_241,c_3228,c_4902]) ).
cnf(c_4911,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11
| e12 = e10
| sP17
| sP16 ),
inference(resolution,[status(thm)],[c_3233,c_279]) ).
cnf(c_4912,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11
| sP16 ),
inference(global_subsumption_just,[status(thm)],[c_4911,c_245,c_241,c_3228,c_4911]) ).
cnf(c_5028,plain,
( h2(e13) != e23
| h2(e13) != e20
| op2(e21,e23) = e21
| op2(e21,e20) = e21
| sP35
| sP34 ),
inference(resolution,[status(thm)],[c_3324,c_3312]) ).
cnf(c_5029,plain,
( op2(e21,e20) = e21
| h2(e13) != e20
| sP34 ),
inference(global_subsumption_just,[status(thm)],[c_5028,c_251,c_247,c_3227,c_3247,c_3312]) ).
cnf(c_5030,plain,
( h2(e13) != e20
| op2(e21,e20) = e21
| sP34 ),
inference(renaming,[status(thm)],[c_5029]) ).
cnf(c_5040,plain,
( h2(e13) != e23
| op2(e21,e23) = e21
| h1(e13) = e20
| sP35
| sP34 ),
inference(resolution,[status(thm)],[c_3324,c_3225]) ).
cnf(c_5041,plain,
( h1(e13) = e20
| sP34 ),
inference(global_subsumption_just,[status(thm)],[c_5040,c_251,c_247,c_3225,c_3227,c_3247]) ).
cnf(c_5298,plain,
( op1(e10,e10) != e13
| sP14
| sP13
| sP12
| sP9
| sP8
| sP7
| sP6
| sP4
| sP2
| sP1 ),
inference(resolution,[status(thm)],[c_738,c_667]) ).
cnf(c_5299,plain,
( sP13
| sP12
| sP9
| sP8
| sP7
| sP6
| sP4
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_5298,c_340,c_285,c_710,c_3297,c_3298]) ).
cnf(c_6268,plain,
( op1(e12,e11) = e12
| sP13
| sP12
| sP8
| sP7
| sP6
| sP4
| sP2
| sP1 ),
inference(resolution,[status(thm)],[c_5299,c_310]) ).
cnf(c_6269,plain,
op1(e12,e11) = e12,
inference(global_subsumption_just,[status(thm)],[c_6268,c_245,c_243,c_241,c_3380]) ).
cnf(c_6621,plain,
( op2(e21,e23) != e21
| h2(e13) != e23
| sP32
| sP31
| sP30
| sP27
| sP26
| sP25
| sP24
| sP22
| sP20
| sP19 ),
inference(resolution,[status(thm)],[c_732,c_3328]) ).
cnf(c_6622,plain,
( sP31
| sP30
| sP27
| sP26
| sP25
| sP24
| sP22
| sP20
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_6621,c_436,c_381,c_708,c_3275,c_3276]) ).
cnf(c_7669,plain,
( op2(e22,e21) = e22
| sP31
| sP30
| sP26
| sP25
| sP24
| sP22
| sP20
| sP19 ),
inference(resolution,[status(thm)],[c_6622,c_406]) ).
cnf(c_7670,plain,
op2(e22,e21) = e22,
inference(global_subsumption_just,[status(thm)],[c_7669,c_251,c_249,c_247,c_3363]) ).
cnf(c_8535,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_7670,c_6622,c_6269,c_5299,c_5041,c_5030,c_4912,c_4903,c_3422,c_3386,c_3383,c_3382,c_3379,c_3377,c_3375,c_3374,c_3373,c_3370,c_3369,c_3366,c_3365,c_3362,c_3360,c_3359,c_3355,c_3354,c_3353,c_3352,c_3351,c_3349,c_3348,c_3347,c_3346,c_3309,c_3308,c_3307,c_3306,c_3304,c_3303,c_3300,c_3299,c_3298,c_3296,c_3295,c_3294,c_3292,c_3290,c_3289,c_3286,c_3285,c_3284,c_3282,c_3281,c_3280,c_3279,c_3278,c_3276,c_3275,c_3274,c_3273,c_3271,c_3270,c_3268,c_3267,c_3262,c_3261,c_3260,c_3253,c_3249,c_3248,c_3226,c_3223,c_3211,c_665,c_493,c_490,c_483,c_482,c_478,c_471,c_467,c_464,c_446,c_441,c_431,c_421,c_416,c_411,c_391,c_350,c_348,c_345,c_335,c_325,c_320,c_315,c_308,c_295,c_294,c_290,c_288,c_276,c_273,c_252,c_251,c_250,c_249,c_248,c_246,c_245,c_244,c_243,c_242,c_241,c_237,c_236,c_235,c_233,c_228,c_226,c_213,c_209,c_205,c_204,c_198,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_168,c_167,c_165,c_162,c_160,c_159,c_158,c_156,c_150,c_148,c_111,c_110,c_108,c_106,c_96,c_90,c_88,c_87,c_85,c_82,c_81,c_70,c_64,c_63,c_62,c_60,c_59,c_58,c_57,c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.07 % Command : run_iprover %s %d THM
% 0.06/0.25 % Computer : n029.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Thu May 2 23:08:52 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.32 Running first-order theorem proving
% 0.10/0.32 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
% 3.82/0.94 % SZS status Started for theBenchmark.p
% 3.82/0.94 % SZS status Theorem for theBenchmark.p
% 3.82/0.94
% 3.82/0.94 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.82/0.94
% 3.82/0.94 ------ iProver source info
% 3.82/0.94
% 3.82/0.94 git: date: 2024-05-02 19:28:25 +0000
% 3.82/0.94 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.82/0.94 git: non_committed_changes: false
% 3.82/0.94
% 3.82/0.94 ------ Parsing...
% 3.82/0.94 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.82/0.94
% 3.82/0.94 ------ Preprocessing... sup_sim: 208 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e
% 3.82/0.94
% 3.82/0.94 ------ Preprocessing...
% 3.82/0.94
% 3.82/0.94 % SZS status Theorem for theBenchmark.p
% 3.82/0.94
% 3.82/0.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/0.95
% 3.82/0.96
%------------------------------------------------------------------------------