TSTP Solution File: ALG123+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG123+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:03:49 EDT 2024
% Result : Theorem 4.01s 1.11s
% Output : CNFRefutation 4.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f639)
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| 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,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(e13,e12) )
| ( ( 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(e13,e11) )
| ( ( 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(e13,e10) )
| ( ( 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(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,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(e12,e11) )
| ( ( 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(e12,e10) )
| ( ( 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(e11,e13) )
| ( ( 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(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,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(e11,e10) )
| ( ( 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(e10,e13) )
| ( ( 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(e10,e12) )
| ( ( 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(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/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| 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,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(e23,e22) )
| ( ( 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(e23,e21) )
| ( ( 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(e23,e20) )
| ( ( 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(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,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(e22,e21) )
| ( ( 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(e22,e20) )
| ( ( 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(e21,e23) )
| ( ( 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(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,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(e21,e20) )
| ( ( 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(e20,e23) )
| ( ( 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(e20,e22) )
| ( ( 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(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/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& op2(e20,e20) = h1(e10)
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e12)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& op2(e21,e21) = h2(e10)
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( op2(op2(e22,e22),e22) = h3(e12)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& op2(e22,e22) = h3(e10)
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e12)
& op2(op2(op2(e23,e23),e23),e23) = h4(e11)
& op2(e23,e23) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox/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/sandbox/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,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(e10,e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,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(e10,e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,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(e10,e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,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(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,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(e11,e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,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(e11,e13) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,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(e12,e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,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(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,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(e12,e13) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,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(e13,e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,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(e13,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,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(e13,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f36,plain,
( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| 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) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f10,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f37,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) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,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(e20,e21) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,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(e20,e22) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
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) )
& e23 = op2(e20,e23) )
| ~ 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(e21,e20) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,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) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,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(e21,e22) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,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(e21,e23) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,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(e22,e20) )
| ~ 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(e22,e21) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,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) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,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(e22,e23) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,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(e23,e20) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,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(e23,e21) )
| ~ 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(e23,e22) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f52,plain,
( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| 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) )
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ) ),
inference(definition_folding,[],[f11,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).
fof(f53,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f65,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP41
| sP40
| sP39
| 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) )
| sP38
| sP37
| sP36
| 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) )
| sP35
| sP34
| sP33
| 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) )
| sP32
| sP31
| sP30
| 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,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53]) ).
fof(f66,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(e13,e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f67,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(e13,e11) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f68,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(e13,e10) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f69,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(e12,e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f70,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(f71,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(e12,e11) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
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 )
& e10 = op1(e12,e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
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 )
& e13 = op1(e11,e13) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f74,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(e11,e12) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f75,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(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 )
& e10 = op1(e11,e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
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(e10,e13) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f78,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(e10,e12) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f79,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(e10,e11) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f80,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(f81,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(e23,e22) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f82,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(e23,e21) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f83,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(e23,e20) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f84,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(e22,e23) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f85,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) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f86,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(e22,e21) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f87,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(e22,e20) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f88,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(e21,e23) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f89,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(e21,e22) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f90,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) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
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 )
& e20 = op2(e21,e20) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
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) )
& e23 = op2(e20,e23) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f93,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(e20,e22) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f94,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(e20,e21) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
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) )
& e20 = op2(e20,e20) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f96,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f97,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f98,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f108,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f114,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f116,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f120,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f123,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f126,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f168,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f171,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f209,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f212,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f230,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f232,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f234,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f235,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f237,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f239,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f241,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f242,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f254,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f255,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f259,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f260,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f262,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f267,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f268,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f269,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f273,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f274,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f282,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f285,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f286,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f287,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f289,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f290,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f292,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f293,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f295,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f297,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f298,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f299,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f300,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f301,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f302,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f303,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f304,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f305,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f306,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f307,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f308,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f309,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f310,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f311,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f328,plain,
( e12 = op1(e13,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f66]) ).
fof(f331,plain,
( e12 != op1(e12,e13)
| e13 != op1(e12,e12)
| ~ sP14 ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
( e11 = op1(e13,e11)
| ~ sP13 ),
inference(cnf_transformation,[],[f67]) ).
fof(f338,plain,
( e10 = op1(e13,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f68]) ).
fof(f343,plain,
( e13 = op1(e12,e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f69]) ).
fof(f348,plain,
( e12 = op1(e12,e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f70]) ).
fof(f353,plain,
( e11 = op1(e12,e11)
| ~ sP9 ),
inference(cnf_transformation,[],[f71]) ).
fof(f358,plain,
( e10 = op1(e12,e10)
| ~ sP8 ),
inference(cnf_transformation,[],[f72]) ).
fof(f363,plain,
( e13 = op1(e11,e13)
| ~ sP7 ),
inference(cnf_transformation,[],[f73]) ).
fof(f364,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e11
| ~ sP7 ),
inference(cnf_transformation,[],[f73]) ).
fof(f369,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e11
| ~ sP6 ),
inference(cnf_transformation,[],[f74]) ).
fof(f373,plain,
( e11 = op1(e11,e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f75]) ).
fof(f379,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e11
| ~ sP4 ),
inference(cnf_transformation,[],[f76]) ).
fof(f387,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP3 ),
inference(cnf_transformation,[],[f77]) ).
fof(f392,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f397,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f402,plain,
( e13 != op1(e13,e10)
| e10 != op1(e13,e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f403,plain,
( e13 = op1(e13,e13)
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f406,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,[],[f36]) ).
fof(f408,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f36]) ).
fof(f410,plain,
( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f36]) ).
fof(f415,plain,
( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ),
inference(cnf_transformation,[],[f36]) ).
fof(f420,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f36]) ).
fof(f421,plain,
( e13 = op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f36]) ).
fof(f425,plain,
( e22 = op2(e23,e22)
| ~ sP29 ),
inference(cnf_transformation,[],[f81]) ).
fof(f428,plain,
( e22 != op2(e22,e23)
| e23 != op2(e22,e22)
| ~ sP29 ),
inference(cnf_transformation,[],[f81]) ).
fof(f430,plain,
( e21 = op2(e23,e21)
| ~ sP28 ),
inference(cnf_transformation,[],[f82]) ).
fof(f435,plain,
( e20 = op2(e23,e20)
| ~ sP27 ),
inference(cnf_transformation,[],[f83]) ).
fof(f440,plain,
( e23 = op2(e22,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f84]) ).
fof(f445,plain,
( e22 = op2(e22,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f85]) ).
fof(f450,plain,
( e21 = op2(e22,e21)
| ~ sP24 ),
inference(cnf_transformation,[],[f86]) ).
fof(f455,plain,
( e20 = op2(e22,e20)
| ~ sP23 ),
inference(cnf_transformation,[],[f87]) ).
fof(f460,plain,
( e23 = op2(e21,e23)
| ~ sP22 ),
inference(cnf_transformation,[],[f88]) ).
fof(f461,plain,
( e20 != op2(e20,e21)
| op2(e20,e20) != e21
| ~ sP22 ),
inference(cnf_transformation,[],[f88]) ).
fof(f466,plain,
( e20 != op2(e20,e21)
| op2(e20,e20) != e21
| ~ sP21 ),
inference(cnf_transformation,[],[f89]) ).
fof(f470,plain,
( e21 = op2(e21,e21)
| ~ sP20 ),
inference(cnf_transformation,[],[f90]) ).
fof(f476,plain,
( e20 != op2(e20,e21)
| op2(e20,e20) != e21
| ~ sP19 ),
inference(cnf_transformation,[],[f91]) ).
fof(f484,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP18 ),
inference(cnf_transformation,[],[f92]) ).
fof(f489,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP17 ),
inference(cnf_transformation,[],[f93]) ).
fof(f494,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP16 ),
inference(cnf_transformation,[],[f94]) ).
fof(f499,plain,
( e23 != op2(e23,e20)
| e20 != op2(e23,e23)
| ~ sP15 ),
inference(cnf_transformation,[],[f95]) ).
fof(f500,plain,
( e23 = op2(e23,e23)
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f52]) ).
fof(f503,plain,
( e22 != op2(e22,e23)
| e23 != op2(e22,e22)
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f52]) ).
fof(f505,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f52]) ).
fof(f507,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f52]) ).
fof(f517,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f52]) ).
fof(f518,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f52]) ).
fof(f522,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f523,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f524,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f525,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f526,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f527,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f529,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f533,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f537,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f538,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f539,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f540,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f541,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f542,plain,
op2(op2(op2(e23,e23),e23),e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f543,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f546,plain,
( e22 != h4(e12)
| ~ sP41 ),
inference(cnf_transformation,[],[f96]) ).
fof(f549,plain,
( e21 != h4(e11)
| ~ sP40 ),
inference(cnf_transformation,[],[f97]) ).
fof(f552,plain,
( e20 != h4(e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f98]) ).
fof(f606,plain,
( e23 != h4(e12)
| sP41
| sP40
| sP39
| 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,[],[f65]) ).
fof(f607,plain,
( e23 != h4(e13)
| sP41
| sP40
| sP39
| 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,[],[f65]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_51,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_52,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_56,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_58,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_65,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_70,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_73,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_74,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_80,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_83,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_87,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_91,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_93,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_94,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_100,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_106,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_108,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_111,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_112,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_116,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_118,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_121,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_122,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_125,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[],[f191]) ).
cnf(c_127,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_128,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_135,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_136,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_139,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_141,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_142,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_146,plain,
op1(e13,e13) != op1(e13,e11),
inference(cnf_transformation,[],[f250]) ).
cnf(c_149,plain,
op1(e13,e12) != op1(e13,e10),
inference(cnf_transformation,[],[f247]) ).
cnf(c_150,plain,
op1(e13,e11) != op1(e13,e10),
inference(cnf_transformation,[],[f246]) ).
cnf(c_152,plain,
op1(e12,e13) != op1(e12,e11),
inference(cnf_transformation,[],[f244]) ).
cnf(c_154,plain,
op1(e12,e13) != op1(e12,e10),
inference(cnf_transformation,[],[f242]) ).
cnf(c_155,plain,
op1(e12,e12) != op1(e12,e10),
inference(cnf_transformation,[],[f241]) ).
cnf(c_157,plain,
op1(e11,e13) != op1(e11,e12),
inference(cnf_transformation,[],[f239]) ).
cnf(c_159,plain,
op1(e11,e12) != op1(e11,e11),
inference(cnf_transformation,[],[f237]) ).
cnf(c_161,plain,
op1(e11,e12) != op1(e11,e10),
inference(cnf_transformation,[],[f235]) ).
cnf(c_162,plain,
op1(e11,e11) != op1(e11,e10),
inference(cnf_transformation,[],[f234]) ).
cnf(c_164,plain,
op1(e10,e13) != op1(e10,e11),
inference(cnf_transformation,[],[f232]) ).
cnf(c_166,plain,
op1(e10,e13) != op1(e10,e10),
inference(cnf_transformation,[],[f230]) ).
cnf(c_171,plain,
op1(e12,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f225]) ).
cnf(c_173,plain,
op1(e12,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f223]) ).
cnf(c_174,plain,
op1(e11,e13) != op1(e10,e13),
inference(cnf_transformation,[],[f222]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f221]) ).
cnf(c_176,plain,
op1(e13,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f220]) ).
cnf(c_177,plain,
op1(e12,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f219]) ).
cnf(c_182,plain,
op1(e13,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f214]) ).
cnf(c_184,plain,
op1(e13,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f212]) ).
cnf(c_187,plain,
op1(e13,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f209]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f206]) ).
cnf(c_191,plain,
op1(e12,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f205]) ).
cnf(c_193,plain,
op2(e23,e23) != op2(e23,e22),
inference(cnf_transformation,[],[f299]) ).
cnf(c_194,plain,
op2(e23,e23) != op2(e23,e21),
inference(cnf_transformation,[],[f298]) ).
cnf(c_195,plain,
op2(e23,e22) != op2(e23,e21),
inference(cnf_transformation,[],[f297]) ).
cnf(c_197,plain,
op2(e23,e22) != op2(e23,e20),
inference(cnf_transformation,[],[f295]) ).
cnf(c_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f293]) ).
cnf(c_200,plain,
op2(e22,e23) != op2(e22,e21),
inference(cnf_transformation,[],[f292]) ).
cnf(c_202,plain,
op2(e22,e23) != op2(e22,e20),
inference(cnf_transformation,[],[f290]) ).
cnf(c_203,plain,
op2(e22,e22) != op2(e22,e20),
inference(cnf_transformation,[],[f289]) ).
cnf(c_205,plain,
op2(e21,e23) != op2(e21,e22),
inference(cnf_transformation,[],[f287]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f286]) ).
cnf(c_207,plain,
op2(e21,e22) != op2(e21,e21),
inference(cnf_transformation,[],[f285]) ).
cnf(c_210,plain,
op2(e21,e21) != op2(e21,e20),
inference(cnf_transformation,[],[f282]) ).
cnf(c_212,plain,
op2(e20,e23) != op2(e20,e21),
inference(cnf_transformation,[],[f280]) ).
cnf(c_214,plain,
op2(e20,e23) != op2(e20,e20),
inference(cnf_transformation,[],[f278]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f276]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f274]) ).
cnf(c_219,plain,
op2(e22,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f273]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f269]) ).
cnf(c_224,plain,
op2(e23,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f268]) ).
cnf(c_225,plain,
op2(e22,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f267]) ).
cnf(c_230,plain,
op2(e23,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f262]) ).
cnf(c_232,plain,
op2(e23,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f260]) ).
cnf(c_233,plain,
op2(e22,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f259]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f258]) ).
cnf(c_235,plain,
op2(e23,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f257]) ).
cnf(c_236,plain,
op2(e23,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f256]) ).
cnf(c_237,plain,
op2(e22,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f255]) ).
cnf(c_238,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f254]) ).
cnf(c_240,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f252]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f305]) ).
cnf(c_242,plain,
e13 != e11,
inference(cnf_transformation,[],[f304]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f303]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f302]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f301]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f300]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f311]) ).
cnf(c_248,plain,
e23 != e21,
inference(cnf_transformation,[],[f310]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f309]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f308]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f307]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f306]) ).
cnf(c_270,plain,
( op1(e12,e13) != e12
| op1(e12,e12) != e13
| ~ sP14 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_273,plain,
( ~ sP14
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[],[f328]) ).
cnf(c_278,plain,
( ~ sP13
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_283,plain,
( ~ sP12
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_288,plain,
( ~ sP11
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_290,plain,
( op1(e12,e12) != e12
| ~ sP10 ),
inference(cnf_transformation,[],[f612]) ).
cnf(c_293,plain,
( ~ sP10
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_298,plain,
( ~ sP9
| op1(e12,e11) = e11 ),
inference(cnf_transformation,[],[f353]) ).
cnf(c_300,plain,
( op1(e12,e12) != e12
| ~ sP8 ),
inference(cnf_transformation,[],[f614]) ).
cnf(c_303,plain,
( ~ sP8
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_307,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP7 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_308,plain,
( ~ sP7
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_312,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP6 ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_316,plain,
( op1(e11,e11) != e11
| ~ sP5 ),
inference(cnf_transformation,[],[f617]) ).
cnf(c_318,plain,
( ~ sP5
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_322,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP4 ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_324,plain,
( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP3 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_329,plain,
( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP2 ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_334,plain,
( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP1 ),
inference(cnf_transformation,[],[f397]) ).
cnf(c_339,plain,
( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP0 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_346,plain,
( op1(e13,e13) != e10
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_347,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_351,plain,
( op1(e11,e11) != e12
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_355,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_356,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_357,plain,
( op1(e13,e13) != e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f623]) ).
cnf(c_358,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,[],[f406]) ).
cnf(c_361,plain,
( op1(e13,e13) = e13
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_363,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23
| ~ sP29 ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_366,plain,
( ~ sP29
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[],[f425]) ).
cnf(c_371,plain,
( ~ sP28
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[],[f430]) ).
cnf(c_376,plain,
( ~ sP27
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_381,plain,
( ~ sP26
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[],[f440]) ).
cnf(c_383,plain,
( op2(e22,e22) != e22
| ~ sP25 ),
inference(cnf_transformation,[],[f628]) ).
cnf(c_386,plain,
( ~ sP25
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_391,plain,
( ~ sP24
| op2(e22,e21) = e21 ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_393,plain,
( op2(e22,e22) != e22
| ~ sP23 ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_396,plain,
( ~ sP23
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f455]) ).
cnf(c_400,plain,
( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP22 ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_401,plain,
( ~ sP22
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[],[f460]) ).
cnf(c_405,plain,
( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP21 ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_409,plain,
( op2(e21,e21) != e21
| ~ sP20 ),
inference(cnf_transformation,[],[f633]) ).
cnf(c_411,plain,
( ~ sP20
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[],[f470]) ).
cnf(c_415,plain,
( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP19 ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_417,plain,
( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP18 ),
inference(cnf_transformation,[],[f484]) ).
cnf(c_422,plain,
( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP17 ),
inference(cnf_transformation,[],[f489]) ).
cnf(c_427,plain,
( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP16 ),
inference(cnf_transformation,[],[f494]) ).
cnf(c_432,plain,
( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP15 ),
inference(cnf_transformation,[],[f499]) ).
cnf(c_439,plain,
( op2(e23,e23) != e20
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_440,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],[f517]) ).
cnf(c_448,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[],[f507]) ).
cnf(c_449,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f505]) ).
cnf(c_450,plain,
( op2(e23,e23) != e23
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f639]) ).
cnf(c_451,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f503]) ).
cnf(c_454,plain,
( op2(e23,e23) = e23
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f500]) ).
cnf(c_455,plain,
op1(op1(e13,e13),e13) = e12,
inference(cnf_transformation,[],[f524]) ).
cnf(c_456,plain,
op1(op1(op1(e13,e13),e13),e13) = e11,
inference(cnf_transformation,[],[f523]) ).
cnf(c_457,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f522]) ).
cnf(c_458,plain,
op2(op2(e23,e23),e23) = e22,
inference(cnf_transformation,[],[f527]) ).
cnf(c_459,plain,
op2(op2(op2(e23,e23),e23),e23) = e21,
inference(cnf_transformation,[],[f526]) ).
cnf(c_460,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[],[f525]) ).
cnf(c_463,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f529]) ).
cnf(c_467,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f533]) ).
cnf(c_469,plain,
op2(op2(e22,e22),e22) = h3(e12),
inference(cnf_transformation,[],[f539]) ).
cnf(c_470,plain,
op2(op2(op2(e22,e22),e22),e22) = h3(e11),
inference(cnf_transformation,[],[f538]) ).
cnf(c_471,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f537]) ).
cnf(c_473,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f543]) ).
cnf(c_474,plain,
op2(op2(op2(e23,e23),e23),e23) = h4(e11),
inference(cnf_transformation,[],[f542]) ).
cnf(c_475,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f541]) ).
cnf(c_476,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f540]) ).
cnf(c_478,plain,
( h4(e12) != e22
| ~ sP41 ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_483,plain,
( h4(e11) != e21
| ~ sP40 ),
inference(cnf_transformation,[],[f549]) ).
cnf(c_488,plain,
( h4(e10) != e20
| ~ sP39 ),
inference(cnf_transformation,[],[f552]) ).
cnf(c_525,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(e13) != e23
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f607]) ).
cnf(c_526,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
| sP41
| sP40
| sP39 ),
inference(cnf_transformation,[],[f606]) ).
cnf(c_573,plain,
~ sP20,
inference(global_subsumption_just,[status(thm)],[c_411,c_411,c_409]) ).
cnf(c_575,plain,
~ sP25,
inference(global_subsumption_just,[status(thm)],[c_386,c_386,c_383]) ).
cnf(c_585,plain,
~ sP5,
inference(global_subsumption_just,[status(thm)],[c_318,c_318,c_316]) ).
cnf(c_587,plain,
~ sP10,
inference(global_subsumption_just,[status(thm)],[c_293,c_293,c_290]) ).
cnf(c_641,plain,
( op2(e20,e20) != e21
| ~ sP19 ),
inference(global_subsumption_just,[status(thm)],[c_415,c_448,c_415]) ).
cnf(c_653,plain,
( op2(e20,e20) != e21
| ~ sP21 ),
inference(global_subsumption_just,[status(thm)],[c_405,c_448,c_405]) ).
cnf(c_659,plain,
( op2(e20,e20) != e21
| ~ sP22 ),
inference(global_subsumption_just,[status(thm)],[c_400,c_448,c_400]) ).
cnf(c_705,plain,
( op2(e22,e22) != e23
| ~ sP29 ),
inference(global_subsumption_just,[status(thm)],[c_363,c_440,c_363]) ).
cnf(c_731,plain,
( op1(e10,e10) != e11
| ~ sP4 ),
inference(global_subsumption_just,[status(thm)],[c_322,c_355,c_322]) ).
cnf(c_743,plain,
( op1(e10,e10) != e11
| ~ sP6 ),
inference(global_subsumption_just,[status(thm)],[c_312,c_355,c_312]) ).
cnf(c_749,plain,
( op1(e10,e10) != e11
| ~ sP7 ),
inference(global_subsumption_just,[status(thm)],[c_307,c_355,c_307]) ).
cnf(c_795,plain,
( op1(e12,e12) != e13
| ~ sP14 ),
inference(global_subsumption_just,[status(thm)],[c_270,c_347,c_270]) ).
cnf(c_797,plain,
( sP21
| sP22
| sP23
| sP24
| sP29
| sP28
| sP27
| sP26
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_454,c_460,c_439,c_432,c_427,c_422,c_417,c_454,c_450,c_573,c_575]) ).
cnf(c_798,plain,
( sP29
| sP28
| sP27
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(renaming,[status(thm)],[c_797]) ).
cnf(c_799,plain,
( sP6
| sP7
| sP8
| sP9
| sP14
| sP13
| sP12
| sP11
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_361,c_457,c_346,c_339,c_334,c_329,c_324,c_361,c_357,c_585,c_587]) ).
cnf(c_800,plain,
( sP14
| sP13
| sP12
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(renaming,[status(thm)],[c_799]) ).
cnf(c_813,plain,
op2(e23,e20) = e23,
inference(global_subsumption_just,[status(thm)],[c_100,c_460,c_439]) ).
cnf(c_815,plain,
op2(e23,e23) = e20,
inference(global_subsumption_just,[status(thm)],[c_97,c_460]) ).
cnf(c_825,plain,
op1(e13,e10) = e13,
inference(global_subsumption_just,[status(thm)],[c_52,c_457,c_346]) ).
cnf(c_827,plain,
op1(e13,e13) = e10,
inference(global_subsumption_just,[status(thm)],[c_49,c_457]) ).
cnf(c_833,plain,
( sP21
| sP22
| sP23
| sP24
| sP29
| sP28
| sP27
| sP26
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_451,c_798]) ).
cnf(c_834,plain,
( sP29
| sP28
| sP27
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(renaming,[status(thm)],[c_833]) ).
cnf(c_839,plain,
( sP6
| sP7
| sP8
| sP9
| sP14
| sP13
| sP12
| sP11
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_358,c_800]) ).
cnf(c_840,plain,
( sP14
| sP13
| sP12
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(renaming,[status(thm)],[c_839]) ).
cnf(c_869,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))
| sP41
| sP40
| sP39 ),
inference(global_subsumption_just,[status(thm)],[c_526,c_476,c_525]) ).
cnf(c_870,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))
| sP41
| sP40
| sP39 ),
inference(renaming,[status(thm)],[c_869]) ).
cnf(c_3009,plain,
h4(e10) = e20,
inference(light_normalisation,[status(thm)],[c_475,c_815]) ).
cnf(c_3016,plain,
( e20 != e20
| ~ sP39 ),
inference(demodulation,[status(thm)],[c_488,c_3009]) ).
cnf(c_3017,plain,
~ sP39,
inference(equality_resolution_simp,[status(thm)],[c_3016]) ).
cnf(c_3022,plain,
op2(e20,e23) = e22,
inference(light_normalisation,[status(thm)],[c_458,c_815]) ).
cnf(c_3023,plain,
op1(e10,e13) = e12,
inference(light_normalisation,[status(thm)],[c_455,c_827]) ).
cnf(c_3024,plain,
( ~ sP27
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_376,c_813]) ).
cnf(c_3025,plain,
( ~ sP12
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_283,c_825]) ).
cnf(c_3032,plain,
( h3(e10) != e23
| ~ sP29 ),
inference(light_normalisation,[status(thm)],[c_705,c_471]) ).
cnf(c_3052,plain,
( h1(e10) != e21
| ~ sP22 ),
inference(light_normalisation,[status(thm)],[c_659,c_463]) ).
cnf(c_3055,plain,
( h1(e10) != e21
| ~ sP21 ),
inference(light_normalisation,[status(thm)],[c_653,c_463]) ).
cnf(c_3058,plain,
( h1(e10) != e21
| ~ sP19 ),
inference(light_normalisation,[status(thm)],[c_641,c_463]) ).
cnf(c_3059,plain,
h4(e12) = e22,
inference(light_normalisation,[status(thm)],[c_473,c_815,c_3022]) ).
cnf(c_3060,plain,
op2(h3(e10),e22) = h3(e12),
inference(light_normalisation,[status(thm)],[c_469,c_471]) ).
cnf(c_3066,plain,
( h3(e10) != e22
| ~ sP23 ),
inference(light_normalisation,[status(thm)],[c_393,c_471]) ).
cnf(c_3075,plain,
op2(e21,e20) != h1(e10),
inference(light_normalisation,[status(thm)],[c_240,c_463]) ).
cnf(c_3077,plain,
h1(e10) != e23,
inference(light_normalisation,[status(thm)],[c_238,c_463,c_813]) ).
cnf(c_3078,plain,
op2(e21,e20) != e23,
inference(light_normalisation,[status(thm)],[c_236,c_813]) ).
cnf(c_3079,plain,
op2(e22,e20) != e23,
inference(light_normalisation,[status(thm)],[c_235,c_813]) ).
cnf(c_3080,plain,
op2(e20,e21) != h2(e10),
inference(light_normalisation,[status(thm)],[c_234,c_467]) ).
cnf(c_3082,plain,
op2(e23,e21) != h2(e10),
inference(light_normalisation,[status(thm)],[c_230,c_467]) ).
cnf(c_3084,plain,
op2(e21,e22) != h3(e10),
inference(light_normalisation,[status(thm)],[c_225,c_471]) ).
cnf(c_3085,plain,
op2(e23,e22) != h3(e10),
inference(light_normalisation,[status(thm)],[c_223,c_471]) ).
cnf(c_3089,plain,
op2(e21,e23) != e20,
inference(light_normalisation,[status(thm)],[c_218,c_815]) ).
cnf(c_3091,plain,
op2(e20,e21) != h1(e10),
inference(light_normalisation,[status(thm)],[c_216,c_463]) ).
cnf(c_3093,plain,
h1(e10) != e22,
inference(light_normalisation,[status(thm)],[c_214,c_463,c_3022]) ).
cnf(c_3094,plain,
op2(e20,e21) != e22,
inference(light_normalisation,[status(thm)],[c_212,c_3022]) ).
cnf(c_3096,plain,
op2(e21,e20) != h2(e10),
inference(light_normalisation,[status(thm)],[c_210,c_467]) ).
cnf(c_3097,plain,
op2(e21,e22) != h2(e10),
inference(light_normalisation,[status(thm)],[c_207,c_467]) ).
cnf(c_3098,plain,
op2(e21,e23) != h2(e10),
inference(light_normalisation,[status(thm)],[c_206,c_467]) ).
cnf(c_3099,plain,
op2(e22,e20) != h3(e10),
inference(light_normalisation,[status(thm)],[c_203,c_471]) ).
cnf(c_3101,plain,
op2(e22,e23) != h3(e10),
inference(light_normalisation,[status(thm)],[c_199,c_471]) ).
cnf(c_3103,plain,
op2(e23,e22) != e23,
inference(light_normalisation,[status(thm)],[c_197,c_813]) ).
cnf(c_3105,plain,
op2(e23,e21) != e20,
inference(light_normalisation,[status(thm)],[c_194,c_815]) ).
cnf(c_3106,plain,
op2(e23,e22) != e20,
inference(light_normalisation,[status(thm)],[c_193,c_815]) ).
cnf(c_3107,plain,
op1(e10,e10) != e13,
inference(light_normalisation,[status(thm)],[c_190,c_825]) ).
cnf(c_3109,plain,
op1(e12,e10) != e13,
inference(light_normalisation,[status(thm)],[c_187,c_825]) ).
cnf(c_3110,plain,
op1(e11,e13) != e12,
inference(light_normalisation,[status(thm)],[c_174,c_3023]) ).
cnf(c_3111,plain,
op1(e12,e13) != e12,
inference(light_normalisation,[status(thm)],[c_173,c_3023]) ).
cnf(c_3115,plain,
op1(e10,e10) != e12,
inference(light_normalisation,[status(thm)],[c_166,c_3023]) ).
cnf(c_3116,plain,
op1(e10,e11) != e12,
inference(light_normalisation,[status(thm)],[c_164,c_3023]) ).
cnf(c_3118,plain,
op1(e13,e11) != e13,
inference(light_normalisation,[status(thm)],[c_150,c_825]) ).
cnf(c_3119,plain,
op1(e13,e12) != e13,
inference(light_normalisation,[status(thm)],[c_149,c_825]) ).
cnf(c_3121,plain,
op1(e13,e11) != e10,
inference(light_normalisation,[status(thm)],[c_146,c_827]) ).
cnf(c_3123,plain,
op2(e22,e23) = e21,
inference(light_normalisation,[status(thm)],[c_459,c_815,c_3022]) ).
cnf(c_3124,plain,
op1(e12,e13) = e11,
inference(light_normalisation,[status(thm)],[c_456,c_827,c_3023]) ).
cnf(c_3125,plain,
h4(e11) = e21,
inference(light_normalisation,[status(thm)],[c_474,c_815,c_3022,c_3123]) ).
cnf(c_3126,plain,
op2(h3(e12),e22) = h3(e11),
inference(light_normalisation,[status(thm)],[c_470,c_471,c_3060]) ).
cnf(c_3137,plain,
( h3(e10) != e23
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_440,c_471,c_3123]) ).
cnf(c_3143,plain,
( h1(e10) = e20
| h2(e10) = e21
| h3(e10) = e22
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_449,c_815,c_463,c_467,c_471]) ).
cnf(c_3144,plain,
( op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_356,c_827]) ).
cnf(c_3147,plain,
( op2(e20,e22) = e21
| op2(e20,e21) = e21
| h1(e10) = e21
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_142,c_463,c_3022]) ).
cnf(c_3148,plain,
( op2(e22,e20) = e21
| op2(e21,e20) = e21
| h1(e10) = e21
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_141,c_463,c_813]) ).
cnf(c_3149,plain,
( op2(e22,e20) = e22
| op2(e21,e20) = e22
| h1(e10) = e22
| e23 = e22 ),
inference(light_normalisation,[status(thm)],[c_139,c_463,c_813]) ).
cnf(c_3151,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e20) = e20
| h2(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_136,c_467]) ).
cnf(c_3152,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e20,e21) = e20
| h2(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_135,c_467]) ).
cnf(c_3159,plain,
( op2(e22,e21) = e20
| op2(e22,e20) = e20
| h3(e10) = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_128,c_471,c_3123]) ).
cnf(c_3160,plain,
( op2(e23,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20
| h3(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_127,c_471]) ).
cnf(c_3161,plain,
( op2(e23,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21
| h3(e10) = e21 ),
inference(light_normalisation,[status(thm)],[c_125,c_471]) ).
cnf(c_3162,plain,
( op2(e22,e21) = e22
| op2(e22,e20) = e22
| h3(e10) = e22
| e22 = e21 ),
inference(light_normalisation,[status(thm)],[c_124,c_471,c_3123]) ).
cnf(c_3164,plain,
( op2(e22,e21) = e23
| op2(e22,e20) = e23
| h3(e10) = e23
| e23 = e21 ),
inference(light_normalisation,[status(thm)],[c_122,c_471,c_3123]) ).
cnf(c_3165,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23
| h3(e10) = e23 ),
inference(light_normalisation,[status(thm)],[c_121,c_471]) ).
cnf(c_3166,plain,
( op2(e23,e22) = e21
| op2(e23,e21) = e21
| e23 = e21
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_118,c_815,c_813]) ).
cnf(c_3167,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e22
| e23 = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_116,c_815,c_813]) ).
cnf(c_3168,plain,
( op2(e21,e23) = e23
| e23 = e22
| e23 = e21
| e23 = e20 ),
inference(light_normalisation,[status(thm)],[c_113,c_815,c_3022,c_3123]) ).
cnf(c_3169,plain,
( h1(e10) = e23
| h1(e10) = e22
| h1(e10) = e21
| h1(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_112,c_463]) ).
cnf(c_3170,plain,
( h2(e10) = e23
| h2(e10) = e22
| h2(e10) = e21
| h2(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_107,c_467]) ).
cnf(c_3171,plain,
( h3(e10) = e23
| h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(light_normalisation,[status(thm)],[c_102,c_471]) ).
cnf(c_3174,plain,
( op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11
| e12 = e11 ),
inference(light_normalisation,[status(thm)],[c_94,c_3023]) ).
cnf(c_3175,plain,
( op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_93,c_825]) ).
cnf(c_3176,plain,
( op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12
| e13 = e12 ),
inference(light_normalisation,[status(thm)],[c_91,c_825]) ).
cnf(c_3178,plain,
( op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_80,c_3124]) ).
cnf(c_3179,plain,
( op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12
| e12 = e11 ),
inference(light_normalisation,[status(thm)],[c_76,c_3124]) ).
cnf(c_3180,plain,
( op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13
| e13 = e11 ),
inference(light_normalisation,[status(thm)],[c_74,c_3124]) ).
cnf(c_3181,plain,
( op1(e13,e12) = e11
| op1(e13,e11) = e11
| e13 = e11
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_70,c_827,c_825]) ).
cnf(c_3183,plain,
( op1(e11,e13) = e13
| e13 = e12
| e13 = e11
| e13 = e10 ),
inference(light_normalisation,[status(thm)],[c_65,c_827,c_3023,c_3124]) ).
cnf(c_3184,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP41
| sP40
| sP39 ),
inference(light_normalisation,[status(thm)],[c_870,c_827,c_815,c_463,c_467,c_471,c_476,c_813,c_825,c_3009,c_3022,c_3023,c_3059,c_3123,c_3124,c_3125]) ).
cnf(c_3185,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| sP41
| sP40
| sP39 ),
inference(equality_resolution_simp,[status(thm)],[c_3184]) ).
cnf(c_3216,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10)
| sP41
| sP40 ),
inference(resolution,[status(thm)],[c_3185,c_3017]) ).
cnf(c_3217,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e13,e11)) != op2(e23,e21)
| h4(op1(e12,e12)) != h3(e10)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e11,e11)) != h2(e10)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e10,e11)) != op2(e20,e21)
| h4(op1(e10,e10)) != h1(e10) ),
inference(global_subsumption_just,[status(thm)],[c_3216,c_483,c_478,c_3059,c_3125,c_3216]) ).
cnf(c_3255,plain,
( op1(e12,e12) != e13
| sP13
| sP12
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_840,c_795]) ).
cnf(c_3256,plain,
op1(e12,e12) != e13,
inference(global_subsumption_just,[status(thm)],[c_3255,c_347,c_3111]) ).
cnf(c_3285,plain,
( op1(e13,e12) = e12
| sP13
| sP12
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_840,c_273]) ).
cnf(c_3286,plain,
( sP13
| op1(e13,e12) = e12
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_3285,c_244,c_273,c_800,c_3025]) ).
cnf(c_3287,plain,
( op1(e13,e12) = e12
| sP13
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(renaming,[status(thm)],[c_3286]) ).
cnf(c_3314,plain,
( op1(e13,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(backward_subsumption_resolution,[status(thm)],[c_73,c_3256]) ).
cnf(c_3315,plain,
( op1(e12,e11) = e13
| op1(e12,e10) = e13
| e13 = e11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3180,c_3256]) ).
cnf(c_3334,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| sP11
| sP9
| sP8
| sP7
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_3287,c_278]) ).
cnf(c_3391,plain,
( h3(e10) != e23
| sP28
| sP27
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_834,c_3032]) ).
cnf(c_3392,plain,
h3(e10) != e23,
inference(global_subsumption_just,[status(thm)],[c_3391,c_249,c_3137]) ).
cnf(c_3397,plain,
( op2(e23,e22) = e22
| sP28
| sP27
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_834,c_366]) ).
cnf(c_3398,plain,
( sP28
| op2(e23,e22) = e22
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(global_subsumption_just,[status(thm)],[c_3397,c_250,c_366,c_798,c_3024]) ).
cnf(c_3399,plain,
( op2(e23,e22) = e22
| sP28
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(renaming,[status(thm)],[c_3398]) ).
cnf(c_3432,plain,
( op2(e22,e21) = e23
| op2(e22,e20) = e23
| e23 = e21 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3164,c_3392]) ).
cnf(c_3433,plain,
( op2(e23,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3165,c_3392]) ).
cnf(c_3434,plain,
( h3(e10) = e22
| h3(e10) = e21
| h3(e10) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[c_3171,c_3392]) ).
cnf(c_3446,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| sP26
| sP24
| sP23
| sP22
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_3399,c_371]) ).
cnf(c_4493,plain,
( op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e11,e13) = e13
| sP11
| sP9
| sP8
| sP6
| sP4 ),
inference(resolution,[status(thm)],[c_3334,c_308]) ).
cnf(c_4494,plain,
op1(e11,e13) = e13,
inference(global_subsumption_just,[status(thm)],[c_4493,c_244,c_242,c_241,c_3183]) ).
cnf(c_5236,plain,
( op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e21,e23) = e23
| sP26
| sP24
| sP23
| sP21
| sP19 ),
inference(resolution,[status(thm)],[c_3446,c_401]) ).
cnf(c_5237,plain,
op2(e21,e23) = e23,
inference(global_subsumption_just,[status(thm)],[c_5236,c_250,c_248,c_247,c_3168]) ).
cnf(c_6679,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_5237,c_4494,c_3446,c_3434,c_3433,c_3432,c_3334,c_3315,c_3314,c_3217,c_3181,c_3179,c_3178,c_3176,c_3175,c_3174,c_3170,c_3169,c_3167,c_3166,c_3162,c_3161,c_3160,c_3159,c_3152,c_3151,c_3149,c_3148,c_3147,c_3144,c_3143,c_3126,c_3125,c_3124,c_3123,c_3121,c_3119,c_3118,c_3116,c_3115,c_3110,c_3109,c_3107,c_3106,c_3105,c_3103,c_3101,c_3099,c_3098,c_3097,c_3096,c_3094,c_3093,c_3091,c_3089,c_3085,c_3084,c_3082,c_3080,c_3079,c_3078,c_3077,c_3075,c_3066,c_3060,c_3059,c_3058,c_3055,c_3052,c_3009,c_749,c_743,c_731,c_476,c_471,c_396,c_391,c_381,c_351,c_303,c_300,c_298,c_288,c_252,c_251,c_250,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_237,c_233,c_232,c_224,c_219,c_205,c_202,c_200,c_195,c_191,c_184,c_182,c_177,c_176,c_175,c_171,c_162,c_161,c_159,c_157,c_155,c_154,c_152,c_111,c_108,c_106,c_87,c_84,c_83,c_64,c_58,c_56,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG123+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 22:34:34 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.01/1.11 % SZS status Started for theBenchmark.p
% 4.01/1.11 % SZS status Theorem for theBenchmark.p
% 4.01/1.11
% 4.01/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.01/1.11
% 4.01/1.11 ------ iProver source info
% 4.01/1.11
% 4.01/1.11 git: date: 2024-05-02 19:28:25 +0000
% 4.01/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.01/1.11 git: non_committed_changes: false
% 4.01/1.11
% 4.01/1.11 ------ Parsing...
% 4.01/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.01/1.11
% 4.01/1.11 ------ Preprocessing... sup_sim: 204 sf_s rm: 15 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e
% 4.01/1.11
% 4.01/1.11 ------ Preprocessing...
% 4.01/1.11
% 4.01/1.11 % SZS status Theorem for theBenchmark.p
% 4.01/1.11
% 4.01/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.01/1.12
% 4.01/1.12
%------------------------------------------------------------------------------