TSTP Solution File: ALG111+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:45 EDT 2024
% Result : Theorem 3.54s 1.09s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f482)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 != op1(e12,e12)
| e13 != op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e13 != op1(e13,e13) )
& ( op1(e10,e10) != e13
| e13 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 != op1(e12,e12)
| e13 != op1(e13,e12) )
& ( e12 != op1(e11,e11)
| e13 != op1(e13,e12) )
& ( op1(e10,e10) != e12
| e13 != op1(e13,e12) )
& ( e11 != op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 != op1(e12,e12)
| e13 != op1(e13,e11) )
& ( e11 != op1(e11,e11)
| e13 != op1(e13,e11) )
& ( op1(e10,e10) != e11
| e13 != op1(e13,e11) )
& ( e10 != op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 != op1(e12,e12)
| e13 != op1(e13,e10) )
& ( e10 != op1(e11,e11)
| e13 != op1(e13,e10) )
& ( e10 != op1(e10,e10)
| e13 != op1(e13,e10) )
& ( e13 != op1(e13,e13)
| e12 != op1(e12,e13) )
& ( e13 != op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e11,e11)
| e12 != op1(e12,e13) )
& ( op1(e10,e10) != e13
| e12 != op1(e12,e13) )
& ( e12 != op1(e13,e13)
| e12 != op1(e12,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 != op1(e11,e11)
| e12 != op1(e12,e12) )
& ( op1(e10,e10) != e12
| e12 != op1(e12,e12) )
& ( e11 != op1(e13,e13)
| e12 != op1(e12,e11) )
& ( e11 != op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e12 != op1(e12,e11) )
& ( op1(e10,e10) != e11
| e12 != op1(e12,e11) )
& ( e10 != op1(e13,e13)
| e12 != op1(e12,e10) )
& ( e10 != op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 != op1(e11,e11)
| e12 != op1(e12,e10) )
& ( e10 != op1(e10,e10)
| e12 != op1(e12,e10) )
& ( e13 != op1(e13,e13)
| e11 != op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e11 != op1(e11,e13) )
& ( e13 != op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e13
| e11 != op1(e11,e13) )
& ( e12 != op1(e13,e13)
| e11 != op1(e11,e12) )
& ( e12 != op1(e12,e12)
| e11 != op1(e11,e12) )
& ( e12 != op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) != e12
| e11 != op1(e11,e12) )
& ( e11 != op1(e13,e13)
| e11 != op1(e11,e11) )
& ( e11 != op1(e12,e12)
| e11 != op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) != e11
| e11 != op1(e11,e11) )
& ( e10 != op1(e13,e13)
| e11 != op1(e11,e10) )
& ( e10 != op1(e12,e12)
| e11 != op1(e11,e10) )
& ( e10 != op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 != op1(e10,e10)
| e11 != op1(e11,e10) )
& ( e13 != op1(e13,e13)
| e10 != op1(e10,e13) )
& ( e13 != op1(e12,e12)
| e10 != op1(e10,e13) )
& ( e13 != op1(e11,e11)
| e10 != op1(e10,e13) )
& ( op1(e10,e10) != e13
| e10 != op1(e10,e13) )
& ( e12 != op1(e13,e13)
| e10 != op1(e10,e12) )
& ( e12 != op1(e12,e12)
| e10 != op1(e10,e12) )
& ( e12 != op1(e11,e11)
| e10 != op1(e10,e12) )
& ( op1(e10,e10) != e12
| e10 != op1(e10,e12) )
& ( e11 != op1(e13,e13)
| e10 != op1(e10,e11) )
& ( e11 != op1(e12,e12)
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e11)
| e10 != op1(e10,e11) )
& ( op1(e10,e10) != e11
| e10 != op1(e10,e11) )
& ( e10 != op1(e13,e13)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e12)
| e10 != op1(e10,e10) )
& ( e10 != op1(e11,e11)
| e10 != op1(e10,e10) )
& ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e22,e22)
| e23 != op2(e23,e23) )
& ( e23 != op2(e21,e21)
| e23 != op2(e23,e23) )
& ( op2(e20,e20) != e23
| e23 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 != op2(e22,e22)
| e23 != op2(e23,e22) )
& ( e22 != op2(e21,e21)
| e23 != op2(e23,e22) )
& ( op2(e20,e20) != e22
| e23 != op2(e23,e22) )
& ( e21 != op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 != op2(e22,e22)
| e23 != op2(e23,e21) )
& ( e21 != op2(e21,e21)
| e23 != op2(e23,e21) )
& ( op2(e20,e20) != e21
| e23 != op2(e23,e21) )
& ( e20 != op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 != op2(e22,e22)
| e23 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e23 != op2(e23,e20) )
& ( e20 != op2(e20,e20)
| e23 != op2(e23,e20) )
& ( e23 != op2(e23,e23)
| e22 != op2(e22,e23) )
& ( e23 != op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 != op2(e21,e21)
| e22 != op2(e22,e23) )
& ( op2(e20,e20) != e23
| e22 != op2(e22,e23) )
& ( e22 != op2(e23,e23)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e21,e21)
| e22 != op2(e22,e22) )
& ( op2(e20,e20) != e22
| e22 != op2(e22,e22) )
& ( e21 != op2(e23,e23)
| e22 != op2(e22,e21) )
& ( e21 != op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 != op2(e21,e21)
| e22 != op2(e22,e21) )
& ( op2(e20,e20) != e21
| e22 != op2(e22,e21) )
& ( e20 != op2(e23,e23)
| e22 != op2(e22,e20) )
& ( e20 != op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 != op2(e21,e21)
| e22 != op2(e22,e20) )
& ( e20 != op2(e20,e20)
| e22 != op2(e22,e20) )
& ( e23 != op2(e23,e23)
| e21 != op2(e21,e23) )
& ( e23 != op2(e22,e22)
| e21 != op2(e21,e23) )
& ( e23 != op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) != e23
| e21 != op2(e21,e23) )
& ( e22 != op2(e23,e23)
| e21 != op2(e21,e22) )
& ( e22 != op2(e22,e22)
| e21 != op2(e21,e22) )
& ( e22 != op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) != e22
| e21 != op2(e21,e22) )
& ( e21 != op2(e23,e23)
| e21 != op2(e21,e21) )
& ( e21 != op2(e22,e22)
| e21 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) != e21
| e21 != op2(e21,e21) )
& ( e20 != op2(e23,e23)
| e21 != op2(e21,e20) )
& ( e20 != op2(e22,e22)
| e21 != op2(e21,e20) )
& ( e20 != op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 != op2(e20,e20)
| e21 != op2(e21,e20) )
& ( e23 != op2(e23,e23)
| e20 != op2(e20,e23) )
& ( e23 != op2(e22,e22)
| e20 != op2(e20,e23) )
& ( e23 != op2(e21,e21)
| e20 != op2(e20,e23) )
& ( op2(e20,e20) != e23
| e20 != op2(e20,e23) )
& ( e22 != op2(e23,e23)
| e20 != op2(e20,e22) )
& ( e22 != op2(e22,e22)
| e20 != op2(e20,e22) )
& ( e22 != op2(e21,e21)
| e20 != op2(e20,e22) )
& ( op2(e20,e20) != e22
| e20 != op2(e20,e22) )
& ( e21 != op2(e23,e23)
| e20 != op2(e20,e21) )
& ( e21 != op2(e22,e22)
| e20 != op2(e20,e21) )
& ( e21 != op2(e21,e21)
| e20 != op2(e20,e21) )
& ( op2(e20,e20) != e21
| e20 != op2(e20,e21) )
& ( e20 != op2(e23,e23)
| e20 != op2(e20,e20) )
& ( e20 != op2(e22,e22)
| e20 != op2(e20,e20) )
& ( e20 != op2(e21,e21)
| e20 != op2(e20,e20) )
& ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& op2(e20,e20) = h1(e11)
& h1(e10) = op2(e20,op2(e20,e20))
& e20 = h1(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(e21,op2(e21,e21))
& e21 = h2(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(e22,op2(e22,e22))
& e22 = h3(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e12)
& op2(e23,e23) = h4(e11)
& op2(e23,op2(e23,e23)) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| 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) )
| sP8
| sP7
| sP6
| 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) )
| sP5
| sP4
| sP3
| 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) )
| sP2
| sP1
| sP0
| 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,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f34,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f35,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f36,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f46,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f51,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f55,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f56,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f63,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f83,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f126,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f141,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f153,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f176,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f192,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f196,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f199,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f200,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f201,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f203,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f207,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f214,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f238,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f239,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f240,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f241,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f243,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f244,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f245,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f246,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f247,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f249,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f273,plain,
( e11 != op1(e13,e13)
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f279,plain,
( e13 != op1(e11,e11)
| e10 != op1(e10,e13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f305,plain,
( e11 != op1(e13,e13)
| e12 != op1(e12,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f312,plain,
( e13 != op1(e12,e12)
| e12 != op1(e12,e13) ),
inference(cnf_transformation,[],[f10]) ).
fof(f321,plain,
( e11 != op1(e13,e13)
| e13 != op1(e13,e11) ),
inference(cnf_transformation,[],[f10]) ).
fof(f337,plain,
( e21 != op2(e23,e23)
| e20 != op2(e20,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f343,plain,
( e23 != op2(e21,e21)
| e20 != op2(e20,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f369,plain,
( e21 != op2(e23,e23)
| e22 != op2(e22,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f376,plain,
( e23 != op2(e22,e22)
| e22 != op2(e22,e23) ),
inference(cnf_transformation,[],[f11]) ).
fof(f385,plain,
( e21 != op2(e23,e23)
| e23 != op2(e23,e21) ),
inference(cnf_transformation,[],[f11]) ).
fof(f394,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f395,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f396,plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f397,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f398,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f399,plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f402,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f405,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f406,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f407,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f409,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
fof(f410,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f412,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f413,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f414,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f415,plain,
op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f418,plain,
( e22 != h4(e12)
| ~ sP11 ),
inference(cnf_transformation,[],[f34]) ).
fof(f421,plain,
( e21 != h4(e11)
| ~ sP10 ),
inference(cnf_transformation,[],[f35]) ).
fof(f424,plain,
( e20 != h4(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f476,plain,
( e23 != h4(e10)
| sP11
| sP10
| sP9
| 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,[],[f33]) ).
fof(f478,plain,
( e23 != h4(e12)
| sP11
| sP10
| sP9
| 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,[],[f33]) ).
fof(f479,plain,
( e23 != h4(e13)
| sP11
| sP10
| sP9
| 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,[],[f33]) ).
cnf(c_49,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_54,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_55,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_59,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_64,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_65,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_75,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_76,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_80,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_84,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_86,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_95,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_96,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_97,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_102,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_103,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_107,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_112,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_113,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_123,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_124,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_128,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_132,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_134,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_143,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_144,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_151,plain,
op1(e12,e13) != op1(e12,e12),
inference(cnf_transformation,[],[f183]) ).
cnf(c_153,plain,
op1(e12,e12) != op1(e12,e11),
inference(cnf_transformation,[],[f181]) ).
cnf(c_158,plain,
op1(e11,e13) != op1(e11,e11),
inference(cnf_transformation,[],[f176]) ).
cnf(c_168,plain,
op1(e10,e11) != op1(e10,e10),
inference(cnf_transformation,[],[f166]) ).
cnf(c_170,plain,
op1(e13,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f164]) ).
cnf(c_175,plain,
op1(e13,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f159]) ).
cnf(c_179,plain,
op1(e12,e12) != op1(e10,e12),
inference(cnf_transformation,[],[f155]) ).
cnf(c_181,plain,
op1(e13,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f153]) ).
cnf(c_182,plain,
op1(e13,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f152]) ).
cnf(c_183,plain,
op1(e12,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f151]) ).
cnf(c_186,plain,
op1(e11,e11) != op1(e10,e11),
inference(cnf_transformation,[],[f148]) ).
cnf(c_190,plain,
op1(e13,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f144]) ).
cnf(c_192,plain,
op1(e11,e10) != op1(e10,e10),
inference(cnf_transformation,[],[f142]) ).
cnf(c_199,plain,
op2(e22,e23) != op2(e22,e22),
inference(cnf_transformation,[],[f231]) ).
cnf(c_201,plain,
op2(e22,e22) != op2(e22,e21),
inference(cnf_transformation,[],[f229]) ).
cnf(c_206,plain,
op2(e21,e23) != op2(e21,e21),
inference(cnf_transformation,[],[f224]) ).
cnf(c_216,plain,
op2(e20,e21) != op2(e20,e20),
inference(cnf_transformation,[],[f214]) ).
cnf(c_218,plain,
op2(e23,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f212]) ).
cnf(c_223,plain,
op2(e23,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f207]) ).
cnf(c_227,plain,
op2(e22,e22) != op2(e20,e22),
inference(cnf_transformation,[],[f203]) ).
cnf(c_229,plain,
op2(e23,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f201]) ).
cnf(c_230,plain,
op2(e23,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f200]) ).
cnf(c_231,plain,
op2(e22,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f199]) ).
cnf(c_234,plain,
op2(e21,e21) != op2(e20,e21),
inference(cnf_transformation,[],[f196]) ).
cnf(c_238,plain,
op2(e23,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f192]) ).
cnf(c_240,plain,
op2(e21,e20) != op2(e20,e20),
inference(cnf_transformation,[],[f190]) ).
cnf(c_241,plain,
e13 != e12,
inference(cnf_transformation,[],[f243]) ).
cnf(c_243,plain,
e12 != e11,
inference(cnf_transformation,[],[f241]) ).
cnf(c_244,plain,
e13 != e10,
inference(cnf_transformation,[],[f240]) ).
cnf(c_245,plain,
e12 != e10,
inference(cnf_transformation,[],[f239]) ).
cnf(c_246,plain,
e11 != e10,
inference(cnf_transformation,[],[f238]) ).
cnf(c_247,plain,
e23 != e22,
inference(cnf_transformation,[],[f249]) ).
cnf(c_249,plain,
e22 != e21,
inference(cnf_transformation,[],[f247]) ).
cnf(c_250,plain,
e23 != e20,
inference(cnf_transformation,[],[f246]) ).
cnf(c_251,plain,
e22 != e20,
inference(cnf_transformation,[],[f245]) ).
cnf(c_252,plain,
e21 != e20,
inference(cnf_transformation,[],[f244]) ).
cnf(c_269,plain,
op1(e13,e13) != e13,
inference(cnf_transformation,[],[f480]) ).
cnf(c_277,plain,
( op1(e13,e13) != e11
| op1(e13,e11) != e13 ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_286,plain,
( op1(e12,e13) != e12
| op1(e12,e12) != e13 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_290,plain,
op1(e12,e12) != e12,
inference(cnf_transformation,[],[f481]) ).
cnf(c_293,plain,
( op1(e13,e13) != e11
| op1(e12,e11) != e12 ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_311,plain,
op1(e11,e11) != e11,
inference(cnf_transformation,[],[f482]) ).
cnf(c_319,plain,
( op1(e11,e11) != e13
| op1(e10,e13) != e10 ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_325,plain,
( op1(e13,e13) != e11
| op1(e10,e11) != e10 ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_332,plain,
op1(e10,e10) != e10,
inference(cnf_transformation,[],[f483]) ).
cnf(c_333,plain,
op2(e23,e23) != e23,
inference(cnf_transformation,[],[f484]) ).
cnf(c_341,plain,
( op2(e23,e23) != e21
| op2(e23,e21) != e23 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_350,plain,
( op2(e22,e23) != e22
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_354,plain,
op2(e22,e22) != e22,
inference(cnf_transformation,[],[f485]) ).
cnf(c_357,plain,
( op2(e23,e23) != e21
| op2(e22,e21) != e22 ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_375,plain,
op2(e21,e21) != e21,
inference(cnf_transformation,[],[f486]) ).
cnf(c_383,plain,
( op2(e21,e21) != e23
| op2(e20,e23) != e20 ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_389,plain,
( op2(e23,e23) != e21
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[],[f337]) ).
cnf(c_396,plain,
op2(e20,e20) != e20,
inference(cnf_transformation,[],[f487]) ).
cnf(c_397,plain,
op1(op1(e13,op1(e13,e13)),op1(e13,e13)) = e12,
inference(cnf_transformation,[],[f396]) ).
cnf(c_398,plain,
op1(e13,e13) = e11,
inference(cnf_transformation,[],[f395]) ).
cnf(c_399,plain,
op1(e13,op1(e13,e13)) = e10,
inference(cnf_transformation,[],[f394]) ).
cnf(c_400,plain,
op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = e22,
inference(cnf_transformation,[],[f399]) ).
cnf(c_401,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f398]) ).
cnf(c_402,plain,
op2(e23,op2(e23,e23)) = e20,
inference(cnf_transformation,[],[f397]) ).
cnf(c_404,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f402]) ).
cnf(c_407,plain,
op2(op2(e21,op2(e21,e21)),op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f407]) ).
cnf(c_408,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f406]) ).
cnf(c_409,plain,
op2(e21,op2(e21,e21)) = h2(e10),
inference(cnf_transformation,[],[f405]) ).
cnf(c_412,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f410]) ).
cnf(c_413,plain,
op2(e22,op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f409]) ).
cnf(c_415,plain,
op2(op2(e23,op2(e23,e23)),op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f415]) ).
cnf(c_416,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f414]) ).
cnf(c_417,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f413]) ).
cnf(c_418,plain,
h4(e13) = e23,
inference(cnf_transformation,[],[f412]) ).
cnf(c_420,plain,
( h4(e12) != e22
| ~ sP11 ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_425,plain,
( h4(e11) != e21
| ~ sP10 ),
inference(cnf_transformation,[],[f421]) ).
cnf(c_430,plain,
( h4(e10) != e20
| ~ sP9 ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_467,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
| sP11
| sP10
| sP9 ),
inference(cnf_transformation,[],[f479]) ).
cnf(c_468,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
| sP11
| sP10
| sP9 ),
inference(cnf_transformation,[],[f478]) ).
cnf(c_470,negated_conjecture,
( op2(h4(e13),h4(e13)) != h4(op1(e13,e13))
| op2(h4(e13),h4(e12)) != h4(op1(e13,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e13,e11))
| op2(h4(e13),h4(e10)) != h4(op1(e13,e10))
| op2(h4(e12),h4(e13)) != h4(op1(e12,e13))
| op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
| op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
| op2(h4(e12),h4(e10)) != h4(op1(e12,e10))
| op2(h4(e11),h4(e13)) != h4(op1(e11,e13))
| op2(h4(e11),h4(e12)) != h4(op1(e11,e12))
| op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
| op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
| op2(h4(e10),h4(e13)) != h4(op1(e10,e13))
| op2(h4(e10),h4(e12)) != h4(op1(e10,e12))
| op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
| op2(h4(e10),h4(e10)) != h4(op1(e10,e10))
| h4(e10) != e23
| sP11
| sP10
| sP9 ),
inference(cnf_transformation,[],[f476]) ).
cnf(c_639,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_144,c_401,c_396,c_389,c_144]) ).
cnf(c_641,plain,
( op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_143,c_396,c_143]) ).
cnf(c_642,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20 ),
inference(renaming,[status(thm)],[c_641]) ).
cnf(c_645,plain,
( op2(e21,e22) = e21
| op2(e21,e23) = e21
| op2(e21,e20) = e21 ),
inference(global_subsumption_just,[status(thm)],[c_134,c_375,c_134]) ).
cnf(c_646,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e20) = e21 ),
inference(renaming,[status(thm)],[c_645]) ).
cnf(c_653,plain,
( op2(e22,e23) = e22
| op2(e22,e20) = e22 ),
inference(global_subsumption_just,[status(thm)],[c_124,c_401,c_354,c_357,c_124]) ).
cnf(c_655,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(global_subsumption_just,[status(thm)],[c_123,c_354,c_123]) ).
cnf(c_661,plain,
( op2(e23,e22) = e23
| op2(e23,e20) = e23 ),
inference(global_subsumption_just,[status(thm)],[c_114,c_401,c_333,c_341,c_114]) ).
cnf(c_663,plain,
( op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(global_subsumption_just,[status(thm)],[c_113,c_333,c_113]) ).
cnf(c_665,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(global_subsumption_just,[status(thm)],[c_112,c_396,c_112]) ).
cnf(c_666,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21 ),
inference(renaming,[status(thm)],[c_665]) ).
cnf(c_669,plain,
( op2(e21,e21) = e22
| op2(e21,e21) = e23
| op2(e21,e21) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_107,c_375,c_107]) ).
cnf(c_670,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e20 ),
inference(renaming,[status(thm)],[c_669]) ).
cnf(c_671,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_103,c_401,c_357,c_103]) ).
cnf(c_673,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(global_subsumption_just,[status(thm)],[c_102,c_354,c_102]) ).
cnf(c_677,plain,
op2(e23,e23) = e21,
inference(global_subsumption_just,[status(thm)],[c_97,c_401]) ).
cnf(c_679,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_96,c_398,c_332,c_325,c_96]) ).
cnf(c_681,plain,
( op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_95,c_332,c_95]) ).
cnf(c_682,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10 ),
inference(renaming,[status(thm)],[c_681]) ).
cnf(c_685,plain,
( op1(e11,e12) = e11
| op1(e11,e13) = e11
| op1(e11,e10) = e11 ),
inference(global_subsumption_just,[status(thm)],[c_86,c_311,c_86]) ).
cnf(c_686,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e10) = e11 ),
inference(renaming,[status(thm)],[c_685]) ).
cnf(c_693,plain,
( op1(e12,e13) = e12
| op1(e12,e10) = e12 ),
inference(global_subsumption_just,[status(thm)],[c_76,c_398,c_290,c_293,c_76]) ).
cnf(c_695,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(global_subsumption_just,[status(thm)],[c_75,c_290,c_75]) ).
cnf(c_701,plain,
( op1(e13,e12) = e13
| op1(e13,e10) = e13 ),
inference(global_subsumption_just,[status(thm)],[c_66,c_398,c_269,c_277,c_66]) ).
cnf(c_703,plain,
( op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(global_subsumption_just,[status(thm)],[c_65,c_269,c_65]) ).
cnf(c_705,plain,
( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(global_subsumption_just,[status(thm)],[c_64,c_332,c_64]) ).
cnf(c_706,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11 ),
inference(renaming,[status(thm)],[c_705]) ).
cnf(c_709,plain,
( op1(e11,e11) = e12
| op1(e11,e11) = e13
| op1(e11,e11) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_59,c_311,c_59]) ).
cnf(c_710,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e10 ),
inference(renaming,[status(thm)],[c_709]) ).
cnf(c_711,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_55,c_398,c_293,c_55]) ).
cnf(c_713,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(global_subsumption_just,[status(thm)],[c_54,c_290,c_54]) ).
cnf(c_717,plain,
op1(e13,e13) = e11,
inference(global_subsumption_just,[status(thm)],[c_49,c_398]) ).
cnf(c_743,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))
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_470,c_418,c_467]) ).
cnf(c_744,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))
| sP11
| sP10
| sP9 ),
inference(renaming,[status(thm)],[c_743]) ).
cnf(c_747,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))
| sP11
| sP10
| sP9 ),
inference(global_subsumption_just,[status(thm)],[c_468,c_744]) ).
cnf(c_748,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))
| sP11
| sP10
| sP9 ),
inference(renaming,[status(thm)],[c_747]) ).
cnf(c_2571,plain,
h4(e11) = e21,
inference(light_normalisation,[status(thm)],[c_416,c_677]) ).
cnf(c_2667,plain,
( e21 != e21
| ~ sP10 ),
inference(demodulation,[status(thm)],[c_425,c_2571]) ).
cnf(c_2668,plain,
~ sP10,
inference(equality_resolution_simp,[status(thm)],[c_2667]) ).
cnf(c_2679,plain,
op2(e23,e21) = e20,
inference(light_normalisation,[status(thm)],[c_402,c_677]) ).
cnf(c_2681,plain,
op1(e13,e11) = e10,
inference(light_normalisation,[status(thm)],[c_399,c_717]) ).
cnf(c_2683,plain,
h4(e10) = e20,
inference(light_normalisation,[status(thm)],[c_417,c_677,c_2679]) ).
cnf(c_2685,plain,
( e20 != e20
| ~ sP9 ),
inference(demodulation,[status(thm)],[c_430,c_2683]) ).
cnf(c_2686,plain,
~ sP9,
inference(equality_resolution_simp,[status(thm)],[c_2685]) ).
cnf(c_2687,plain,
op2(e22,h3(e11)) = h3(e10),
inference(light_normalisation,[status(thm)],[c_413,c_412]) ).
cnf(c_2688,plain,
op2(e21,h2(e11)) = h2(e10),
inference(light_normalisation,[status(thm)],[c_409,c_408]) ).
cnf(c_2690,plain,
op2(e21,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_240,c_404]) ).
cnf(c_2692,plain,
op2(e23,e20) != h1(e11),
inference(light_normalisation,[status(thm)],[c_238,c_404]) ).
cnf(c_2693,plain,
op2(e20,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_234,c_408]) ).
cnf(c_2695,plain,
op2(e22,e21) != h2(e11),
inference(light_normalisation,[status(thm)],[c_231,c_408]) ).
cnf(c_2696,plain,
h2(e11) != e20,
inference(light_normalisation,[status(thm)],[c_230,c_408,c_2679]) ).
cnf(c_2697,plain,
op2(e22,e21) != e20,
inference(light_normalisation,[status(thm)],[c_229,c_2679]) ).
cnf(c_2698,plain,
op2(e20,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_227,c_412]) ).
cnf(c_2700,plain,
op2(e23,e22) != h3(e11),
inference(light_normalisation,[status(thm)],[c_223,c_412]) ).
cnf(c_2702,plain,
op2(e21,e23) != e21,
inference(light_normalisation,[status(thm)],[c_218,c_677]) ).
cnf(c_2704,plain,
op2(e20,e21) != h1(e11),
inference(light_normalisation,[status(thm)],[c_216,c_404]) ).
cnf(c_2709,plain,
op2(e21,e23) != h2(e11),
inference(light_normalisation,[status(thm)],[c_206,c_408]) ).
cnf(c_2711,plain,
op2(e22,e21) != h3(e11),
inference(light_normalisation,[status(thm)],[c_201,c_412]) ).
cnf(c_2712,plain,
op2(e22,e23) != h3(e11),
inference(light_normalisation,[status(thm)],[c_199,c_412]) ).
cnf(c_2719,plain,
op1(e11,e11) != e10,
inference(light_normalisation,[status(thm)],[c_182,c_2681]) ).
cnf(c_2720,plain,
op1(e12,e11) != e10,
inference(light_normalisation,[status(thm)],[c_181,c_2681]) ).
cnf(c_2722,plain,
op1(e11,e13) != e11,
inference(light_normalisation,[status(thm)],[c_170,c_717]) ).
cnf(c_2753,plain,
op2(e20,e21) = e22,
inference(light_normalisation,[status(thm)],[c_400,c_677,c_2679]) ).
cnf(c_2756,plain,
h1(e11) != e22,
inference(demodulation,[status(thm)],[c_2704,c_2753]) ).
cnf(c_2758,plain,
h2(e11) != e22,
inference(demodulation,[status(thm)],[c_2693,c_2753]) ).
cnf(c_2760,plain,
op1(e10,e11) = e12,
inference(light_normalisation,[status(thm)],[c_397,c_717,c_2681]) ).
cnf(c_2763,plain,
op1(e10,e10) != e12,
inference(demodulation,[status(thm)],[c_168,c_2760]) ).
cnf(c_2765,plain,
op1(e11,e11) != e12,
inference(demodulation,[status(thm)],[c_186,c_2760]) ).
cnf(c_2767,plain,
h4(e12) = e22,
inference(light_normalisation,[status(thm)],[c_415,c_677,c_2679,c_2753]) ).
cnf(c_2768,plain,
( e22 != e22
| ~ sP11 ),
inference(demodulation,[status(thm)],[c_420,c_2767]) ).
cnf(c_2769,plain,
~ sP11,
inference(equality_resolution_simp,[status(thm)],[c_2768]) ).
cnf(c_2771,plain,
op2(h2(e10),h2(e11)) = h2(e12),
inference(light_normalisation,[status(thm)],[c_407,c_408,c_2688]) ).
cnf(c_2781,plain,
( op2(e20,e23) != e20
| h2(e11) != e23 ),
inference(light_normalisation,[status(thm)],[c_383,c_408]) ).
cnf(c_2818,plain,
( op2(e22,e23) != e22
| h3(e11) != e23 ),
inference(light_normalisation,[status(thm)],[c_350,c_412]) ).
cnf(c_2881,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_711,c_2720]) ).
cnf(c_2886,plain,
op1(e11,e11) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_710,c_2719,c_2765]) ).
cnf(c_2888,plain,
( op1(e10,e13) != e10
| e13 != e13 ),
inference(demodulation,[status(thm)],[c_319,c_2886]) ).
cnf(c_2890,plain,
op1(e11,e13) != e13,
inference(demodulation,[status(thm)],[c_158,c_2886]) ).
cnf(c_2894,plain,
op1(e12,e11) != e13,
inference(demodulation,[status(thm)],[c_183,c_2886]) ).
cnf(c_2896,plain,
op1(e12,e11) = e11,
inference(backward_subsumption_resolution,[status(thm)],[c_2881,c_2894]) ).
cnf(c_2899,plain,
op1(e12,e12) != e11,
inference(demodulation,[status(thm)],[c_153,c_2896]) ).
cnf(c_2903,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_713,c_2899]) ).
cnf(c_2908,plain,
op1(e10,e13) != e10,
inference(equality_resolution_simp,[status(thm)],[c_2888]) ).
cnf(c_2909,plain,
op1(e10,e12) = e10,
inference(backward_subsumption_resolution,[status(thm)],[c_679,c_2908]) ).
cnf(c_2914,plain,
op1(e12,e12) != e10,
inference(demodulation,[status(thm)],[c_179,c_2909]) ).
cnf(c_2916,plain,
op1(e12,e12) = e13,
inference(backward_subsumption_resolution,[status(thm)],[c_2903,c_2914]) ).
cnf(c_2919,plain,
( op1(e12,e13) != e12
| e13 != e13 ),
inference(demodulation,[status(thm)],[c_286,c_2916]) ).
cnf(c_2920,plain,
op1(e12,e13) != e13,
inference(demodulation,[status(thm)],[c_151,c_2916]) ).
cnf(c_2922,plain,
op1(e13,e12) != e13,
inference(demodulation,[status(thm)],[c_175,c_2916]) ).
cnf(c_2925,plain,
op1(e13,e10) = e13,
inference(backward_subsumption_resolution,[status(thm)],[c_701,c_2922]) ).
cnf(c_2931,plain,
op1(e10,e10) != e13,
inference(demodulation,[status(thm)],[c_190,c_2925]) ).
cnf(c_2932,plain,
op1(e12,e13) != e12,
inference(equality_resolution_simp,[status(thm)],[c_2919]) ).
cnf(c_2933,plain,
op1(e12,e10) = e12,
inference(backward_subsumption_resolution,[status(thm)],[c_693,c_2932]) ).
cnf(c_2940,plain,
op1(e10,e10) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_706,c_2763,c_2931]) ).
cnf(c_2944,plain,
op1(e11,e10) != e11,
inference(demodulation,[status(thm)],[c_192,c_2940]) ).
cnf(c_2946,plain,
op1(e10,e13) = e13,
inference(forward_subsumption_resolution,[status(thm)],[c_703,c_2890,c_2920]) ).
cnf(c_2952,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_695,c_2909]) ).
cnf(c_2953,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2952,c_245]) ).
cnf(c_2958,plain,
op1(e11,e12) = e11,
inference(forward_subsumption_resolution,[status(thm)],[c_686,c_2944,c_2722]) ).
cnf(c_2959,plain,
( op1(e13,e12) = e12
| e12 = e11 ),
inference(demodulation,[status(thm)],[c_2953,c_2958]) ).
cnf(c_2965,plain,
op1(e13,e12) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_2959,c_243]) ).
cnf(c_2969,plain,
( op1(e11,e10) = e10
| e13 = e10
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_682,c_2925,c_2933]) ).
cnf(c_2970,plain,
op1(e11,e10) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_2969,c_245,c_244]) ).
cnf(c_2975,plain,
( h3(e11) = e23
| h3(e11) = e21
| h3(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_673,c_412]) ).
cnf(c_2982,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e21 ),
inference(forward_subsumption_resolution,[status(thm)],[c_671,c_2697]) ).
cnf(c_2987,plain,
( h2(e11) = e23
| h2(e11) = e22
| h2(e11) = e20 ),
inference(light_normalisation,[status(thm)],[c_670,c_408]) ).
cnf(c_2988,plain,
h2(e11) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_2987,c_2696,c_2758]) ).
cnf(c_2990,plain,
( op2(e20,e23) != e20
| e23 != e23 ),
inference(demodulation,[status(thm)],[c_2781,c_2988]) ).
cnf(c_2991,plain,
op2(h2(e10),e23) = h2(e12),
inference(demodulation,[status(thm)],[c_2771,c_2988]) ).
cnf(c_2993,plain,
op2(e21,e23) != e23,
inference(demodulation,[status(thm)],[c_2709,c_2988]) ).
cnf(c_2997,plain,
op2(e22,e21) != e23,
inference(demodulation,[status(thm)],[c_2695,c_2988]) ).
cnf(c_2998,plain,
op2(e21,e23) = h2(e10),
inference(demodulation,[status(thm)],[c_2688,c_2988]) ).
cnf(c_3000,plain,
op2(e21,e21) = e23,
inference(demodulation,[status(thm)],[c_408,c_2988]) ).
cnf(c_3003,plain,
h2(e10) != e21,
inference(demodulation,[status(thm)],[c_2702,c_2998]) ).
cnf(c_3006,plain,
op2(e22,e21) = e21,
inference(backward_subsumption_resolution,[status(thm)],[c_2982,c_2997]) ).
cnf(c_3009,plain,
h3(e11) != e21,
inference(demodulation,[status(thm)],[c_2711,c_3006]) ).
cnf(c_3013,plain,
( h3(e11) = e23
| h3(e11) = e20 ),
inference(backward_subsumption_resolution,[status(thm)],[c_2975,c_3009]) ).
cnf(c_3018,plain,
h2(e10) != e23,
inference(light_normalisation,[status(thm)],[c_2993,c_2998]) ).
cnf(c_3019,plain,
op2(e20,e23) != e20,
inference(equality_resolution_simp,[status(thm)],[c_2990]) ).
cnf(c_3020,plain,
op2(e20,e22) = e20,
inference(backward_subsumption_resolution,[status(thm)],[c_639,c_3019]) ).
cnf(c_3025,plain,
h3(e11) != e20,
inference(demodulation,[status(thm)],[c_2698,c_3020]) ).
cnf(c_3027,plain,
h3(e11) = e23,
inference(backward_subsumption_resolution,[status(thm)],[c_3013,c_3025]) ).
cnf(c_3030,plain,
( op2(e22,e23) != e22
| e23 != e23 ),
inference(demodulation,[status(thm)],[c_2818,c_3027]) ).
cnf(c_3032,plain,
op2(e22,e23) != e23,
inference(demodulation,[status(thm)],[c_2712,c_3027]) ).
cnf(c_3034,plain,
op2(e23,e22) != e23,
inference(demodulation,[status(thm)],[c_2700,c_3027]) ).
cnf(c_3036,plain,
op2(e22,e23) = h3(e10),
inference(demodulation,[status(thm)],[c_2687,c_3027]) ).
cnf(c_3038,plain,
op2(e22,e22) = e23,
inference(demodulation,[status(thm)],[c_412,c_3027]) ).
cnf(c_3041,plain,
( op2(e22,e20) = e22
| h3(e10) = e22 ),
inference(demodulation,[status(thm)],[c_653,c_3036]) ).
cnf(c_3053,plain,
op2(e23,e20) = e23,
inference(backward_subsumption_resolution,[status(thm)],[c_661,c_3034]) ).
cnf(c_3059,plain,
h1(e11) != e23,
inference(demodulation,[status(thm)],[c_2692,c_3053]) ).
cnf(c_3060,plain,
h3(e10) != e23,
inference(light_normalisation,[status(thm)],[c_3032,c_3036]) ).
cnf(c_3061,plain,
op2(e22,e23) != e22,
inference(equality_resolution_simp,[status(thm)],[c_3030]) ).
cnf(c_3062,plain,
h3(e10) != e22,
inference(light_normalisation,[status(thm)],[c_3061,c_3036]) ).
cnf(c_3063,plain,
op2(e22,e20) = e22,
inference(backward_subsumption_resolution,[status(thm)],[c_3041,c_3062]) ).
cnf(c_3071,plain,
( h1(e11) = e23
| h1(e11) = e22
| h1(e11) = e21 ),
inference(light_normalisation,[status(thm)],[c_666,c_404]) ).
cnf(c_3072,plain,
h1(e11) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3071,c_2756,c_3059]) ).
cnf(c_3077,plain,
op2(e21,e20) != e21,
inference(demodulation,[status(thm)],[c_2690,c_3072]) ).
cnf(c_3081,plain,
op2(e20,e20) = e21,
inference(demodulation,[status(thm)],[c_404,c_3072]) ).
cnf(c_3087,plain,
( op2(e20,e23) = e23
| h2(e10) = e23
| h3(e10) = e23 ),
inference(light_normalisation,[status(thm)],[c_663,c_2998,c_3036]) ).
cnf(c_3088,plain,
op2(e20,e23) = e23,
inference(forward_subsumption_resolution,[status(thm)],[c_3087,c_3060,c_3018]) ).
cnf(c_3094,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_655,c_3020]) ).
cnf(c_3095,plain,
( op2(e23,e22) = e22
| op2(e21,e22) = e22 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3094,c_251]) ).
cnf(c_3100,plain,
( op2(e21,e22) = e21
| op2(e21,e20) = e21
| h2(e10) = e21 ),
inference(light_normalisation,[status(thm)],[c_646,c_2998]) ).
cnf(c_3101,plain,
op2(e21,e22) = e21,
inference(forward_subsumption_resolution,[status(thm)],[c_3100,c_3003,c_3077]) ).
cnf(c_3102,plain,
( op2(e23,e22) = e22
| e22 = e21 ),
inference(demodulation,[status(thm)],[c_3095,c_3101]) ).
cnf(c_3108,plain,
op2(e23,e22) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3102,c_249]) ).
cnf(c_3112,plain,
( op2(e21,e20) = e20
| e23 = e20
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_642,c_3053,c_3063]) ).
cnf(c_3113,plain,
op2(e21,e20) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3112,c_251,c_250]) ).
cnf(c_3118,plain,
( h2(e10) = e22
| e23 = e22
| e22 = e21
| e22 = e20 ),
inference(light_normalisation,[status(thm)],[c_132,c_2998,c_3000,c_3101,c_3113]) ).
cnf(c_3119,plain,
h2(e10) = e22,
inference(forward_subsumption_resolution,[status(thm)],[c_3118,c_251,c_249,c_247]) ).
cnf(c_3122,plain,
op2(e22,e23) = h2(e12),
inference(demodulation,[status(thm)],[c_2991,c_3119]) ).
cnf(c_3125,plain,
op2(e21,e23) = e22,
inference(demodulation,[status(thm)],[c_2998,c_3119]) ).
cnf(c_3128,plain,
h2(e12) = h3(e10),
inference(light_normalisation,[status(thm)],[c_3122,c_3036]) ).
cnf(c_3133,plain,
op2(e22,e23) = h2(e12),
inference(demodulation,[status(thm)],[c_3036,c_3128]) ).
cnf(c_3139,plain,
( h2(e12) = e20
| e23 = e20
| e22 = e20
| e21 = e20 ),
inference(light_normalisation,[status(thm)],[c_128,c_3006,c_3038,c_3063,c_3133]) ).
cnf(c_3140,plain,
h2(e12) = e20,
inference(forward_subsumption_resolution,[status(thm)],[c_3139,c_252,c_251,c_250]) ).
cnf(c_3145,plain,
op2(e22,e23) = e20,
inference(demodulation,[status(thm)],[c_3133,c_3140]) ).
cnf(c_3153,plain,
( op1(e11,e13) = e12
| e13 = e12
| e12 = e11
| e12 = e10 ),
inference(light_normalisation,[status(thm)],[c_84,c_2886,c_2958,c_2970]) ).
cnf(c_3154,plain,
op1(e11,e13) = e12,
inference(forward_subsumption_resolution,[status(thm)],[c_3153,c_245,c_243,c_241]) ).
cnf(c_3159,plain,
( op1(e12,e13) = e10
| e13 = e10
| e12 = e10
| e11 = e10 ),
inference(light_normalisation,[status(thm)],[c_80,c_2896,c_2916,c_2933]) ).
cnf(c_3160,plain,
op1(e12,e13) = e10,
inference(forward_subsumption_resolution,[status(thm)],[c_3159,c_246,c_245,c_244]) ).
cnf(c_3164,plain,
( e23 != e23
| e22 != e22
| e21 != e21
| e20 != e20
| sP11
| sP10
| sP9 ),
inference(light_normalisation,[status(thm)],[c_748,c_717,c_677,c_418,c_2571,c_2679,c_2681,c_2683,c_2753,c_2760,c_2767,c_2886,c_2896,c_2909,c_2916,c_2925,c_2933,c_2940,c_2946,c_2958,c_2965,c_2970,c_3000,c_3006,c_3020,c_3038,c_3053,c_3063,c_3081,c_3088,c_3101,c_3108,c_3113,c_3125,c_3145,c_3154,c_3160]) ).
cnf(c_3165,plain,
( sP11
| sP10
| sP9 ),
inference(equality_resolution_simp,[status(thm)],[c_3164]) ).
cnf(c_3166,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3165,c_2686,c_2668,c_2769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 2 23:11:03 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.54/1.09 % SZS status Started for theBenchmark.p
% 3.54/1.09 % SZS status Theorem for theBenchmark.p
% 3.54/1.09
% 3.54/1.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.54/1.09
% 3.54/1.09 ------ iProver source info
% 3.54/1.09
% 3.54/1.09 git: date: 2024-05-02 19:28:25 +0000
% 3.54/1.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.54/1.09 git: non_committed_changes: false
% 3.54/1.09
% 3.54/1.09 ------ Parsing...
% 3.54/1.09 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.54/1.09
% 3.54/1.09 ------ Preprocessing...
% 3.54/1.09
% 3.54/1.09 % SZS status Theorem for theBenchmark.p
% 3.54/1.09
% 3.54/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.10
% 3.54/1.10
%------------------------------------------------------------------------------