TSTP Solution File: ALG057+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG057+1 : TPTP v8.2.0. 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 : Mon Jun 24 03:56:59 EDT 2024
% Result : Theorem 0.49s 1.16s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| sP9
| sP8 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| sP7
| sP6 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| sP5
| sP4 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| sP3
| sP2 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f45,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f46,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f47,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f48,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f49,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f51,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f52,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f53,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f54,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f55,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f57,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f58,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f59,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f60,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f61,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f63,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f64,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f65,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f66,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f67,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f69,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f71,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f72,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f73,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f74,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f75,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f76,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f77,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f78,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f79,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f89,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f90,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f91,plain,
( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f92,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f94,plain,
( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f95,plain,
( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f97,plain,
( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f99,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f100,plain,
( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f101,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f102,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f104,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f160,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f161,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f163,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f164,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
op(e1,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f224,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f226,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f227,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f228,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f229,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f231,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f232,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f234,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f235,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f236,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f237,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f238,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f240,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f241,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f242,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f246,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f247,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f248,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f249,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f250,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f252,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f253,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f254,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f255,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f256,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f257,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f258,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f259,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f260,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f261,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f262,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f263,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f264,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f265,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f267,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f268,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f269,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f270,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f271,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f272,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f273,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f274,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f275,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f281,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP33 ),
inference(cnf_transformation,[],[f45]) ).
fof(f284,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP32 ),
inference(cnf_transformation,[],[f46]) ).
fof(f287,plain,
( e1 != op(op(e4,e1),e4)
| ~ sP31 ),
inference(cnf_transformation,[],[f47]) ).
fof(f288,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f48]) ).
fof(f292,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP29 ),
inference(cnf_transformation,[],[f49]) ).
fof(f298,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP27 ),
inference(cnf_transformation,[],[f51]) ).
fof(f301,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f52]) ).
fof(f303,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f53]) ).
fof(f307,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f54]) ).
fof(f311,plain,
( e3 != op(op(e2,e3),e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f55]) ).
fof(f316,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f57]) ).
fof(f318,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f58]) ).
fof(f322,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f59]) ).
fof(f325,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f60]) ).
fof(f329,plain,
( e2 != op(op(e1,e2),e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f61]) ).
fof(f333,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f63]) ).
fof(f338,plain,
( e4 != op(op(e0,e4),e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f64]) ).
fof(f339,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP13 ),
inference(cnf_transformation,[],[f65]) ).
fof(f342,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f66]) ).
fof(f346,plain,
( e0 = op(op(e0,e1),e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f67]) ).
fof(f351,plain,
( e4 != op(e1,op(e1,e4))
| ~ sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f352,plain,
( e1 = op(e4,op(e1,e4))
| ~ sP9 ),
inference(cnf_transformation,[],[f69]) ).
fof(f353,plain,
( e4 != op(e0,op(e0,e4))
| ~ sP8 ),
inference(cnf_transformation,[],[f70]) ).
fof(f354,plain,
( e0 = op(e4,op(e0,e4))
| ~ sP8 ),
inference(cnf_transformation,[],[f70]) ).
fof(f355,plain,
( e3 != op(e1,op(e1,e3))
| ~ sP7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f356,plain,
( e1 = op(e3,op(e1,e3))
| ~ sP7 ),
inference(cnf_transformation,[],[f71]) ).
fof(f357,plain,
( e3 != op(e0,op(e0,e3))
| ~ sP6 ),
inference(cnf_transformation,[],[f72]) ).
fof(f358,plain,
( e0 = op(e3,op(e0,e3))
| ~ sP6 ),
inference(cnf_transformation,[],[f72]) ).
fof(f359,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f73]) ).
fof(f360,plain,
( e1 = op(e2,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f73]) ).
fof(f361,plain,
( e2 != op(e0,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f362,plain,
( e0 = op(e2,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f74]) ).
fof(f363,plain,
( e1 != op(e1,op(e1,e1))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f364,plain,
( e1 = op(e1,op(e1,e1))
| ~ sP3 ),
inference(cnf_transformation,[],[f75]) ).
fof(f365,plain,
( e1 != op(e0,op(e0,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f366,plain,
( e0 = op(e1,op(e0,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f367,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f368,plain,
( e1 = op(e0,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f369,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f370,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f371,plain,
( e0 != op(e4,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f372,plain,
( e0 != op(e4,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f373,plain,
( e0 != op(e4,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f374,plain,
( e0 != op(e4,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f375,plain,
( e4 = op(e0,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f376,plain,
( e4 = op(e0,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f377,plain,
( e4 = op(e0,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f378,plain,
( e4 = op(e0,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f380,plain,
( e1 != op(e4,op(e4,e1))
| e1 != op(e3,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f382,plain,
( e1 != op(e4,op(e4,e1))
| e3 = op(e1,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f383,plain,
( e4 = op(e1,op(e4,e1))
| e1 != op(e3,op(e3,e1))
| e1 != op(e2,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f384,plain,
( e4 = op(e1,op(e4,e1))
| e1 != op(e3,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f385,plain,
( e4 = op(e1,op(e4,e1))
| e3 = op(e1,op(e3,e1))
| e1 != op(e2,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f386,plain,
( e4 = op(e1,op(e4,e1))
| e3 = op(e1,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f387,plain,
( e2 != op(e4,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f388,plain,
( e2 != op(e4,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f389,plain,
( e2 != op(e4,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f390,plain,
( e2 != op(e4,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f391,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f392,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f393,plain,
( e4 = op(e2,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f394,plain,
( e4 = op(e2,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f44]) ).
fof(f400,plain,
( e4 = op(e3,op(e4,e3))
| e3 != op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f402,plain,
( e4 = op(e3,op(e4,e3))
| e3 = op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f44]) ).
fof(f404,plain,
( e4 != op(e4,op(e4,e4))
| e4 != op(e3,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f406,plain,
( e4 != op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f408,plain,
( e4 = op(e4,op(e4,e4))
| e4 != op(e3,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f410,plain,
( e4 = op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f413,plain,
( e4 != op(op(e4,e4),e4)
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_50,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_51,plain,
( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_52,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_53,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_55,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_56,plain,
( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_57,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_58,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_60,plain,
( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_61,plain,
( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_62,plain,
( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_63,plain,
( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_64,plain,
( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_65,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_66,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_67,plain,
( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_68,plain,
( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_69,plain,
( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_70,plain,
( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_71,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_72,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_73,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_74,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_82,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f106]) ).
cnf(c_83,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f105]) ).
cnf(c_84,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f104]) ).
cnf(c_85,plain,
( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_86,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_88,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_89,plain,
( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_90,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_92,plain,
( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_95,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_96,plain,
( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_97,plain,
( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_98,plain,
( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_99,plain,
( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_100,plain,
( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_101,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_103,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_104,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_107,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_109,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_110,plain,
( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_111,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_112,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_113,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_114,plain,
( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_115,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_116,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_117,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_118,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_119,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_120,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_121,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_122,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_123,plain,
( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_124,plain,
( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_125,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_126,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_127,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_128,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_129,plain,
( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_130,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_131,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_132,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_133,plain,
( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_134,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_135,plain,
op(e4,e4) != op(e4,e3),
inference(cnf_transformation,[],[f264]) ).
cnf(c_136,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f263]) ).
cnf(c_137,plain,
op(e4,e3) != op(e4,e2),
inference(cnf_transformation,[],[f262]) ).
cnf(c_138,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f261]) ).
cnf(c_139,plain,
op(e4,e3) != op(e4,e1),
inference(cnf_transformation,[],[f260]) ).
cnf(c_140,plain,
op(e4,e2) != op(e4,e1),
inference(cnf_transformation,[],[f259]) ).
cnf(c_141,plain,
op(e4,e4) != op(e4,e0),
inference(cnf_transformation,[],[f258]) ).
cnf(c_142,plain,
op(e4,e3) != op(e4,e0),
inference(cnf_transformation,[],[f257]) ).
cnf(c_143,plain,
op(e4,e2) != op(e4,e0),
inference(cnf_transformation,[],[f256]) ).
cnf(c_144,plain,
op(e4,e1) != op(e4,e0),
inference(cnf_transformation,[],[f255]) ).
cnf(c_145,plain,
op(e3,e4) != op(e3,e3),
inference(cnf_transformation,[],[f254]) ).
cnf(c_146,plain,
op(e3,e4) != op(e3,e2),
inference(cnf_transformation,[],[f253]) ).
cnf(c_147,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f252]) ).
cnf(c_148,plain,
op(e3,e4) != op(e3,e1),
inference(cnf_transformation,[],[f251]) ).
cnf(c_149,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f250]) ).
cnf(c_150,plain,
op(e3,e2) != op(e3,e1),
inference(cnf_transformation,[],[f249]) ).
cnf(c_151,plain,
op(e3,e4) != op(e3,e0),
inference(cnf_transformation,[],[f248]) ).
cnf(c_152,plain,
op(e3,e3) != op(e3,e0),
inference(cnf_transformation,[],[f247]) ).
cnf(c_153,plain,
op(e3,e2) != op(e3,e0),
inference(cnf_transformation,[],[f246]) ).
cnf(c_154,plain,
op(e3,e1) != op(e3,e0),
inference(cnf_transformation,[],[f245]) ).
cnf(c_155,plain,
op(e2,e4) != op(e2,e3),
inference(cnf_transformation,[],[f244]) ).
cnf(c_157,plain,
op(e2,e3) != op(e2,e2),
inference(cnf_transformation,[],[f242]) ).
cnf(c_158,plain,
op(e2,e4) != op(e2,e1),
inference(cnf_transformation,[],[f241]) ).
cnf(c_159,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f240]) ).
cnf(c_160,plain,
op(e2,e2) != op(e2,e1),
inference(cnf_transformation,[],[f239]) ).
cnf(c_161,plain,
op(e2,e4) != op(e2,e0),
inference(cnf_transformation,[],[f238]) ).
cnf(c_162,plain,
op(e2,e3) != op(e2,e0),
inference(cnf_transformation,[],[f237]) ).
cnf(c_163,plain,
op(e2,e2) != op(e2,e0),
inference(cnf_transformation,[],[f236]) ).
cnf(c_164,plain,
op(e2,e1) != op(e2,e0),
inference(cnf_transformation,[],[f235]) ).
cnf(c_165,plain,
op(e1,e4) != op(e1,e3),
inference(cnf_transformation,[],[f234]) ).
cnf(c_166,plain,
op(e1,e4) != op(e1,e2),
inference(cnf_transformation,[],[f233]) ).
cnf(c_167,plain,
op(e1,e3) != op(e1,e2),
inference(cnf_transformation,[],[f232]) ).
cnf(c_168,plain,
op(e1,e4) != op(e1,e1),
inference(cnf_transformation,[],[f231]) ).
cnf(c_169,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f230]) ).
cnf(c_170,plain,
op(e1,e2) != op(e1,e1),
inference(cnf_transformation,[],[f229]) ).
cnf(c_171,plain,
op(e1,e4) != op(e1,e0),
inference(cnf_transformation,[],[f228]) ).
cnf(c_172,plain,
op(e1,e3) != op(e1,e0),
inference(cnf_transformation,[],[f227]) ).
cnf(c_173,plain,
op(e1,e2) != op(e1,e0),
inference(cnf_transformation,[],[f226]) ).
cnf(c_174,plain,
op(e1,e1) != op(e1,e0),
inference(cnf_transformation,[],[f225]) ).
cnf(c_175,plain,
op(e0,e4) != op(e0,e3),
inference(cnf_transformation,[],[f224]) ).
cnf(c_176,plain,
op(e0,e4) != op(e0,e2),
inference(cnf_transformation,[],[f223]) ).
cnf(c_177,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f222]) ).
cnf(c_178,plain,
op(e0,e4) != op(e0,e1),
inference(cnf_transformation,[],[f221]) ).
cnf(c_179,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f220]) ).
cnf(c_180,plain,
op(e0,e2) != op(e0,e1),
inference(cnf_transformation,[],[f219]) ).
cnf(c_181,plain,
op(e0,e4) != op(e0,e0),
inference(cnf_transformation,[],[f218]) ).
cnf(c_182,plain,
op(e0,e3) != op(e0,e0),
inference(cnf_transformation,[],[f217]) ).
cnf(c_183,plain,
op(e0,e2) != op(e0,e0),
inference(cnf_transformation,[],[f216]) ).
cnf(c_184,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f215]) ).
cnf(c_188,plain,
op(e4,e4) != op(e1,e4),
inference(cnf_transformation,[],[f211]) ).
cnf(c_189,plain,
op(e3,e4) != op(e1,e4),
inference(cnf_transformation,[],[f210]) ).
cnf(c_190,plain,
op(e2,e4) != op(e1,e4),
inference(cnf_transformation,[],[f209]) ).
cnf(c_191,plain,
op(e4,e4) != op(e0,e4),
inference(cnf_transformation,[],[f208]) ).
cnf(c_192,plain,
op(e3,e4) != op(e0,e4),
inference(cnf_transformation,[],[f207]) ).
cnf(c_193,plain,
op(e2,e4) != op(e0,e4),
inference(cnf_transformation,[],[f206]) ).
cnf(c_194,plain,
op(e1,e4) != op(e0,e4),
inference(cnf_transformation,[],[f205]) ).
cnf(c_195,plain,
op(e4,e3) != op(e3,e3),
inference(cnf_transformation,[],[f204]) ).
cnf(c_196,plain,
op(e4,e3) != op(e2,e3),
inference(cnf_transformation,[],[f203]) ).
cnf(c_197,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f202]) ).
cnf(c_198,plain,
op(e4,e3) != op(e1,e3),
inference(cnf_transformation,[],[f201]) ).
cnf(c_199,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f200]) ).
cnf(c_200,plain,
op(e2,e3) != op(e1,e3),
inference(cnf_transformation,[],[f199]) ).
cnf(c_201,plain,
op(e4,e3) != op(e0,e3),
inference(cnf_transformation,[],[f198]) ).
cnf(c_202,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f197]) ).
cnf(c_203,plain,
op(e2,e3) != op(e0,e3),
inference(cnf_transformation,[],[f196]) ).
cnf(c_204,plain,
op(e1,e3) != op(e0,e3),
inference(cnf_transformation,[],[f195]) ).
cnf(c_205,plain,
op(e4,e2) != op(e3,e2),
inference(cnf_transformation,[],[f194]) ).
cnf(c_206,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f193]) ).
cnf(c_207,plain,
op(e3,e2) != op(e2,e2),
inference(cnf_transformation,[],[f192]) ).
cnf(c_208,plain,
op(e4,e2) != op(e1,e2),
inference(cnf_transformation,[],[f191]) ).
cnf(c_209,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f190]) ).
cnf(c_210,plain,
op(e2,e2) != op(e1,e2),
inference(cnf_transformation,[],[f189]) ).
cnf(c_211,plain,
op(e4,e2) != op(e0,e2),
inference(cnf_transformation,[],[f188]) ).
cnf(c_212,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f187]) ).
cnf(c_213,plain,
op(e2,e2) != op(e0,e2),
inference(cnf_transformation,[],[f186]) ).
cnf(c_214,plain,
op(e1,e2) != op(e0,e2),
inference(cnf_transformation,[],[f185]) ).
cnf(c_215,plain,
op(e4,e1) != op(e3,e1),
inference(cnf_transformation,[],[f184]) ).
cnf(c_216,plain,
op(e4,e1) != op(e2,e1),
inference(cnf_transformation,[],[f183]) ).
cnf(c_217,plain,
op(e3,e1) != op(e2,e1),
inference(cnf_transformation,[],[f182]) ).
cnf(c_218,plain,
op(e4,e1) != op(e1,e1),
inference(cnf_transformation,[],[f181]) ).
cnf(c_219,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f180]) ).
cnf(c_220,plain,
op(e2,e1) != op(e1,e1),
inference(cnf_transformation,[],[f179]) ).
cnf(c_221,plain,
op(e4,e1) != op(e0,e1),
inference(cnf_transformation,[],[f178]) ).
cnf(c_222,plain,
op(e3,e1) != op(e0,e1),
inference(cnf_transformation,[],[f177]) ).
cnf(c_223,plain,
op(e2,e1) != op(e0,e1),
inference(cnf_transformation,[],[f176]) ).
cnf(c_224,plain,
op(e1,e1) != op(e0,e1),
inference(cnf_transformation,[],[f175]) ).
cnf(c_225,plain,
op(e4,e0) != op(e3,e0),
inference(cnf_transformation,[],[f174]) ).
cnf(c_226,plain,
op(e4,e0) != op(e2,e0),
inference(cnf_transformation,[],[f173]) ).
cnf(c_227,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f172]) ).
cnf(c_228,plain,
op(e4,e0) != op(e1,e0),
inference(cnf_transformation,[],[f171]) ).
cnf(c_229,plain,
op(e3,e0) != op(e1,e0),
inference(cnf_transformation,[],[f170]) ).
cnf(c_230,plain,
op(e2,e0) != op(e1,e0),
inference(cnf_transformation,[],[f169]) ).
cnf(c_231,plain,
op(e4,e0) != op(e0,e0),
inference(cnf_transformation,[],[f168]) ).
cnf(c_232,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f167]) ).
cnf(c_233,plain,
op(e2,e0) != op(e0,e0),
inference(cnf_transformation,[],[f166]) ).
cnf(c_234,plain,
op(e1,e0) != op(e0,e0),
inference(cnf_transformation,[],[f165]) ).
cnf(c_235,plain,
e4 != e3,
inference(cnf_transformation,[],[f274]) ).
cnf(c_236,plain,
e4 != e2,
inference(cnf_transformation,[],[f273]) ).
cnf(c_237,plain,
e3 != e2,
inference(cnf_transformation,[],[f272]) ).
cnf(c_238,plain,
e4 != e1,
inference(cnf_transformation,[],[f271]) ).
cnf(c_239,plain,
e3 != e1,
inference(cnf_transformation,[],[f270]) ).
cnf(c_240,plain,
e2 != e1,
inference(cnf_transformation,[],[f269]) ).
cnf(c_241,plain,
e4 != e0,
inference(cnf_transformation,[],[f268]) ).
cnf(c_242,plain,
e3 != e0,
inference(cnf_transformation,[],[f267]) ).
cnf(c_243,plain,
e2 != e0,
inference(cnf_transformation,[],[f266]) ).
cnf(c_244,plain,
e1 != e0,
inference(cnf_transformation,[],[f265]) ).
cnf(c_245,plain,
op(e2,e2) = e4,
inference(cnf_transformation,[],[f278]) ).
cnf(c_246,plain,
op(e2,op(e2,e2)) = e3,
inference(cnf_transformation,[],[f277]) ).
cnf(c_247,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
inference(cnf_transformation,[],[f276]) ).
cnf(c_248,plain,
op(op(e2,e2),op(e2,e2)) = e0,
inference(cnf_transformation,[],[f275]) ).
cnf(c_249,plain,
( op(op(e4,e3),e4) != e3
| ~ sP33 ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_252,plain,
( op(op(e4,e2),e4) != e2
| ~ sP32 ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_255,plain,
( op(op(e4,e1),e4) != e1
| ~ sP31 ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_260,plain,
( op(e4,e0) != op(e0,e4)
| ~ sP30 ),
inference(cnf_transformation,[],[f288]) ).
cnf(c_262,plain,
( ~ sP29
| op(op(e3,e4),e4) = e3 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_266,plain,
~ sP28,
inference(cnf_transformation,[],[f414]) ).
cnf(c_268,plain,
( ~ sP27
| op(op(e3,e2),e2) = e3 ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_271,plain,
( ~ sP26
| op(op(e3,e1),e1) = e3 ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_275,plain,
( op(e3,e0) != op(e0,e3)
| ~ sP25 ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_277,plain,
( ~ sP24
| op(op(e2,e4),e4) = e2 ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_279,plain,
( op(op(e2,e3),e2) != e3
| ~ sP23 ),
inference(cnf_transformation,[],[f311]) ).
cnf(c_284,plain,
~ sP22,
inference(cnf_transformation,[],[f415]) ).
cnf(c_286,plain,
( ~ sP21
| op(op(e2,e1),e1) = e2 ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_290,plain,
( op(e2,e0) != op(e0,e2)
| ~ sP20 ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_292,plain,
( ~ sP19
| op(op(e1,e4),e4) = e1 ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_295,plain,
( ~ sP18
| op(op(e1,e3),e3) = e1 ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_297,plain,
( op(op(e1,e2),e1) != e2
| ~ sP17 ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_302,plain,
~ sP16,
inference(cnf_transformation,[],[f416]) ).
cnf(c_305,plain,
( op(e1,e0) != op(e0,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_306,plain,
( op(op(e0,e4),e0) != e4
| ~ sP14 ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_311,plain,
( op(e3,e0) != op(e0,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_314,plain,
( op(e2,e0) != op(e0,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_316,plain,
( ~ sP11
| op(op(e0,e1),e1) = e0 ),
inference(cnf_transformation,[],[f346]) ).
cnf(c_320,plain,
~ sP10,
inference(cnf_transformation,[],[f417]) ).
cnf(c_321,plain,
( ~ sP9
| op(e4,op(e1,e4)) = e1 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_322,plain,
( op(e1,op(e1,e4)) != e4
| ~ sP9 ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_323,plain,
( ~ sP8
| op(e4,op(e0,e4)) = e0 ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_324,plain,
( op(e0,op(e0,e4)) != e4
| ~ sP8 ),
inference(cnf_transformation,[],[f353]) ).
cnf(c_325,plain,
( ~ sP7
| op(e3,op(e1,e3)) = e1 ),
inference(cnf_transformation,[],[f356]) ).
cnf(c_326,plain,
( op(e1,op(e1,e3)) != e3
| ~ sP7 ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_327,plain,
( ~ sP6
| op(e3,op(e0,e3)) = e0 ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_328,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP6 ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_329,plain,
( ~ sP5
| op(e2,op(e1,e2)) = e1 ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_330,plain,
( op(e1,op(e1,e2)) != e2
| ~ sP5 ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_331,plain,
( ~ sP4
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_332,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP4 ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_333,plain,
( ~ sP3
| op(e1,op(e1,e1)) = e1 ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_334,plain,
( op(e1,op(e1,e1)) != e1
| ~ sP3 ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_335,plain,
( ~ sP2
| op(e1,op(e0,e1)) = e0 ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_336,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP2 ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_337,plain,
( ~ sP1
| op(e0,op(e1,e0)) = e1 ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_338,plain,
( op(e1,op(e1,e0)) != e0
| ~ sP1 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_339,plain,
( ~ sP0
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_340,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP0 ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_341,negated_conjecture,
( op(op(e4,e4),e4) != e4
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_343,negated_conjecture,
( sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10 ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_344,negated_conjecture,
( op(e4,op(e4,e4)) = e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_346,negated_conjecture,
( op(e3,op(e3,e4)) != e4
| op(e4,op(e4,e4)) = e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_348,negated_conjecture,
( op(e4,op(e4,e4)) != e4
| op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_350,negated_conjecture,
( op(e4,op(e4,e4)) != e4
| op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_352,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e3,e3)) = e3
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_354,negated_conjecture,
( op(e3,op(e3,e3)) != e3
| op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_360,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f394]) ).
cnf(c_361,negated_conjecture,
( op(e2,op(e2,e2)) != e2
| op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_362,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_363,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_364,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_365,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e2,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_366,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e2,e2)) = e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f388]) ).
cnf(c_367,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| op(e2,op(e2,e2)) != e2
| sP5
| sP4 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_368,negated_conjecture,
( op(e1,op(e4,e1)) = e4
| op(e1,op(e3,e1)) = e3
| op(e1,op(e2,e1)) = e2
| sP3
| sP2 ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_369,negated_conjecture,
( op(e2,op(e2,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e3,e1)) = e3
| sP3
| sP2 ),
inference(cnf_transformation,[],[f385]) ).
cnf(c_370,negated_conjecture,
( op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e2,e1)) = e2
| sP3
| sP2 ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_371,negated_conjecture,
( op(e3,op(e3,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e4,e1)) = e4
| sP3
| sP2 ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_372,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e2,e1)) = e2
| sP3
| sP2 ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_374,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e2,e1)) = e2
| sP3
| sP2 ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_376,negated_conjecture,
( op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| op(e0,op(e2,e0)) = e2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_377,negated_conjecture,
( op(e2,op(e2,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| sP1
| sP0 ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_378,negated_conjecture,
( op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e2,e0)) = e2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_379,negated_conjecture,
( op(e3,op(e3,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e4,e0)) = e4
| sP1
| sP0 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_380,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e2,e0)) = e2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_381,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| sP1
| sP0 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_382,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e2,e0)) = e2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_383,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e2,op(e2,e0)) != e0
| sP1
| sP0 ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_384,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_339,c_339,c_340]) ).
cnf(c_386,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_333,c_333,c_334]) ).
cnf(c_408,plain,
( sP11
| sP12
| sP13
| sP14
| sP15
| sP23
| sP24
| sP25
| sP26
| sP27
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_343,c_320,c_302,c_284,c_266,c_343]) ).
cnf(c_409,negated_conjecture,
( sP33
| sP32
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP24
| sP23
| sP21
| sP20
| sP19
| sP18
| sP17
| sP15
| sP14
| sP13
| sP12
| sP11 ),
inference(renaming,[status(thm)],[c_408]) ).
cnf(c_410,plain,
( sP1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4 ),
inference(global_subsumption_just,[status(thm)],[c_376,c_376,c_384]) ).
cnf(c_411,negated_conjecture,
( op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| op(e0,op(e2,e0)) = e2
| sP1 ),
inference(renaming,[status(thm)],[c_410]) ).
cnf(c_412,plain,
( op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_368,c_368,c_386]) ).
cnf(c_413,negated_conjecture,
( op(e1,op(e4,e1)) = e4
| op(e1,op(e3,e1)) = e3
| op(e1,op(e2,e1)) = e2
| sP2 ),
inference(renaming,[status(thm)],[c_412]) ).
cnf(c_414,plain,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_360,c_360,c_361]) ).
cnf(c_415,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_414]) ).
cnf(c_416,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_352,c_352,c_354]) ).
cnf(c_418,negated_conjecture,
( op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_344,c_344,c_348]) ).
cnf(c_420,plain,
( sP1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e3,e0)) = e3
| op(e4,op(e4,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_380,c_339,c_340,c_380]) ).
cnf(c_421,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e0,op(e3,e0)) = e3
| op(e0,op(e2,e0)) = e2
| sP1 ),
inference(renaming,[status(thm)],[c_420]) ).
cnf(c_422,plain,
( sP1
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| op(e3,op(e3,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_378,c_339,c_340,c_378]) ).
cnf(c_423,negated_conjecture,
( op(e3,op(e3,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e2,e0)) = e2
| sP1 ),
inference(renaming,[status(thm)],[c_422]) ).
cnf(c_424,plain,
( sP1
| op(e0,op(e3,e0)) = e3
| op(e0,op(e4,e0)) = e4
| op(e2,op(e2,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_377,c_339,c_340,c_377]) ).
cnf(c_425,negated_conjecture,
( op(e2,op(e2,e0)) != e0
| op(e0,op(e4,e0)) = e4
| op(e0,op(e3,e0)) = e3
| sP1 ),
inference(renaming,[status(thm)],[c_424]) ).
cnf(c_426,plain,
( op(e1,op(e2,e1)) = e2
| op(e1,op(e3,e1)) = e3
| op(e4,op(e4,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_372,c_333,c_334,c_372]) ).
cnf(c_427,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e1,op(e3,e1)) = e3
| op(e1,op(e2,e1)) = e2
| sP2 ),
inference(renaming,[status(thm)],[c_426]) ).
cnf(c_428,plain,
( op(e1,op(e2,e1)) = e2
| op(e1,op(e4,e1)) = e4
| op(e3,op(e3,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_370,c_333,c_334,c_370]) ).
cnf(c_429,negated_conjecture,
( op(e3,op(e3,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e2,e1)) = e2
| sP2 ),
inference(renaming,[status(thm)],[c_428]) ).
cnf(c_430,plain,
( op(e1,op(e3,e1)) = e3
| op(e1,op(e4,e1)) = e4
| op(e2,op(e2,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_369,c_333,c_334,c_369]) ).
cnf(c_431,negated_conjecture,
( op(e2,op(e2,e1)) != e1
| op(e1,op(e4,e1)) = e4
| op(e1,op(e3,e1)) = e3
| sP2 ),
inference(renaming,[status(thm)],[c_430]) ).
cnf(c_432,plain,
( op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_364,c_364,c_365]) ).
cnf(c_433,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_432]) ).
cnf(c_434,plain,
( op(e2,op(e4,e2)) = e4
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_362,c_362,c_363]) ).
cnf(c_435,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_434]) ).
cnf(c_436,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_361,c_415]) ).
cnf(c_440,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_354,c_416]) ).
cnf(c_444,negated_conjecture,
( op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_348,c_418]) ).
cnf(c_446,negated_conjecture,
( op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_346,c_346,c_350]) ).
cnf(c_450,plain,
( sP1
| op(e0,op(e2,e0)) = e2
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_382,c_339,c_340,c_382]) ).
cnf(c_451,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e0,op(e2,e0)) = e2
| sP1 ),
inference(renaming,[status(thm)],[c_450]) ).
cnf(c_452,plain,
( sP1
| op(e0,op(e3,e0)) = e3
| op(e2,op(e2,e0)) != e0
| op(e4,op(e4,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_381,c_339,c_340,c_381]) ).
cnf(c_453,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e3,e0)) = e3
| sP1 ),
inference(renaming,[status(thm)],[c_452]) ).
cnf(c_454,plain,
( sP1
| op(e0,op(e4,e0)) = e4
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_379,c_339,c_340,c_379]) ).
cnf(c_455,negated_conjecture,
( op(e3,op(e3,e0)) != e0
| op(e2,op(e2,e0)) != e0
| op(e0,op(e4,e0)) = e4
| sP1 ),
inference(renaming,[status(thm)],[c_454]) ).
cnf(c_456,plain,
( op(e1,op(e2,e1)) = e2
| op(e3,op(e3,e1)) != e1
| op(e4,op(e4,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_374,c_333,c_334,c_374]) ).
cnf(c_457,negated_conjecture,
( op(e4,op(e4,e1)) != e1
| op(e3,op(e3,e1)) != e1
| op(e1,op(e2,e1)) = e2
| sP2 ),
inference(renaming,[status(thm)],[c_456]) ).
cnf(c_460,plain,
( op(e1,op(e4,e1)) = e4
| op(e2,op(e2,e1)) != e1
| op(e3,op(e3,e1)) != e1
| sP2 ),
inference(global_subsumption_just,[status(thm)],[c_371,c_333,c_334,c_371]) ).
cnf(c_461,negated_conjecture,
( op(e3,op(e3,e1)) != e1
| op(e2,op(e2,e1)) != e1
| op(e1,op(e4,e1)) = e4
| sP2 ),
inference(renaming,[status(thm)],[c_460]) ).
cnf(c_462,plain,
( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_366,c_366,c_367]) ).
cnf(c_463,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_462]) ).
cnf(c_464,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_365,c_433]) ).
cnf(c_466,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_363,c_435]) ).
cnf(c_474,negated_conjecture,
( op(e3,op(e3,e4)) != e4
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_350,c_446]) ).
cnf(c_480,plain,
( sP1
| op(e2,op(e2,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e4,op(e4,e0)) != e0 ),
inference(global_subsumption_just,[status(thm)],[c_383,c_339,c_340,c_383]) ).
cnf(c_481,negated_conjecture,
( op(e4,op(e4,e0)) != e0
| op(e3,op(e3,e0)) != e0
| op(e2,op(e2,e0)) != e0
| sP1 ),
inference(renaming,[status(thm)],[c_480]) ).
cnf(c_484,plain,
( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_367,c_463]) ).
cnf(c_485,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_484]) ).
cnf(c_494,plain,
op(e2,e2) = e4,
inference(global_subsumption_just,[status(thm)],[c_61,c_245]) ).
cnf(c_498,plain,
( sP11
| sP12
| sP13
| sP14
| sP15
| sP23
| sP24
| sP25
| sP26
| sP27
| sP33
| sP32
| sP31
| sP30
| sP29
| sP21
| sP20
| sP19
| sP18
| sP17 ),
inference(global_subsumption_just,[status(thm)],[c_341,c_409]) ).
cnf(c_499,negated_conjecture,
( sP33
| sP32
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP24
| sP23
| sP21
| sP20
| sP19
| sP18
| sP17
| sP15
| sP14
| sP13
| sP12
| sP11 ),
inference(renaming,[status(thm)],[c_498]) ).
cnf(c_2058,plain,
op(e2,e4) = e3,
inference(light_normalisation,[status(thm)],[c_246,c_494]) ).
cnf(c_2059,plain,
op(e0,e2) != e4,
inference(light_normalisation,[status(thm)],[c_213,c_494]) ).
cnf(c_2060,plain,
op(e1,e2) != e4,
inference(light_normalisation,[status(thm)],[c_210,c_494]) ).
cnf(c_2061,plain,
op(e3,e2) != e4,
inference(light_normalisation,[status(thm)],[c_207,c_494]) ).
cnf(c_2062,plain,
op(e4,e2) != e4,
inference(light_normalisation,[status(thm)],[c_206,c_494]) ).
cnf(c_2063,plain,
op(e0,e4) != e3,
inference(light_normalisation,[status(thm)],[c_193,c_2058]) ).
cnf(c_2064,plain,
op(e1,e4) != e3,
inference(light_normalisation,[status(thm)],[c_190,c_2058]) ).
cnf(c_2067,plain,
op(e2,e0) != e4,
inference(light_normalisation,[status(thm)],[c_163,c_494]) ).
cnf(c_2068,plain,
op(e2,e0) != e3,
inference(light_normalisation,[status(thm)],[c_161,c_2058]) ).
cnf(c_2069,plain,
op(e2,e1) != e4,
inference(light_normalisation,[status(thm)],[c_160,c_494]) ).
cnf(c_2070,plain,
op(e2,e1) != e3,
inference(light_normalisation,[status(thm)],[c_158,c_2058]) ).
cnf(c_2071,plain,
op(e2,e3) != e4,
inference(light_normalisation,[status(thm)],[c_157,c_494]) ).
cnf(c_2073,plain,
op(e2,e3) != e3,
inference(light_normalisation,[status(thm)],[c_155,c_2058]) ).
cnf(c_2148,plain,
( ~ sP24
| op(e3,e4) = e2 ),
inference(light_normalisation,[status(thm)],[c_277,c_2058]) ).
cnf(c_2187,plain,
op(e4,e4) = e0,
inference(light_normalisation,[status(thm)],[c_248,c_494]) ).
cnf(c_2188,plain,
op(e4,e3) != e0,
inference(demodulation,[status(thm)],[c_135,c_2187]) ).
cnf(c_2189,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm)],[c_136,c_2187]) ).
cnf(c_2190,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm)],[c_138,c_2187]) ).
cnf(c_2191,plain,
op(e4,e0) != e0,
inference(demodulation,[status(thm)],[c_141,c_2187]) ).
cnf(c_2194,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm)],[c_188,c_2187]) ).
cnf(c_2195,plain,
op(e0,e4) != e0,
inference(demodulation,[status(thm)],[c_191,c_2187]) ).
cnf(c_2391,plain,
op(e3,e4) = e1,
inference(light_normalisation,[status(thm)],[c_247,c_494,c_2058]) ).
cnf(c_2396,plain,
( ~ sP29
| op(e1,e4) = e3 ),
inference(demodulation,[status(thm)],[c_262,c_2391]) ).
cnf(c_2397,plain,
( ~ sP24
| e2 = e1 ),
inference(demodulation,[status(thm)],[c_2148,c_2391]) ).
cnf(c_2398,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm)],[c_145,c_2391]) ).
cnf(c_2399,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm)],[c_146,c_2391]) ).
cnf(c_2400,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm)],[c_148,c_2391]) ).
cnf(c_2401,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm)],[c_151,c_2391]) ).
cnf(c_2403,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm)],[c_189,c_2391]) ).
cnf(c_2404,plain,
op(e0,e4) != e1,
inference(demodulation,[status(thm)],[c_192,c_2391]) ).
cnf(c_2405,plain,
~ sP24,
inference(forward_subsumption_resolution,[status(thm)],[c_2397,c_240]) ).
cnf(c_2406,plain,
~ sP29,
inference(forward_subsumption_resolution,[status(thm)],[c_2396,c_2064]) ).
cnf(c_2411,plain,
( op(e4,e3) = e2
| op(e4,e1) = e3
| sP9
| sP8 ),
inference(light_normalisation,[status(thm)],[c_444,c_2058,c_2391]) ).
cnf(c_2441,plain,
( op(e3,e1) != e4
| op(e4,e3) = e2
| sP9
| sP8 ),
inference(light_normalisation,[status(thm)],[c_474,c_2058,c_2391]) ).
cnf(c_2503,plain,
( sP33
| sP32
| sP31
| sP30
| sP27
| sP26
| sP25
| sP23
| sP21
| sP20
| sP19
| sP18
| sP17
| sP15
| sP14
| sP13
| sP12
| sP11 ),
inference(forward_subsumption_resolution,[status(thm)],[c_499,c_2405,c_2406]) ).
cnf(c_2696,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_134,c_2195]) ).
cnf(c_2709,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_133,c_2191]) ).
cnf(c_2722,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_132,c_2404]) ).
cnf(c_2735,plain,
( op(e4,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_131,c_2401]) ).
cnf(c_2768,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_128,c_2063]) ).
cnf(c_2781,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_127,c_2068]) ).
cnf(c_2794,plain,
( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_126,c_2059]) ).
cnf(c_2807,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_125,c_2067]) ).
cnf(c_2820,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_124,c_2194]) ).
cnf(c_2833,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_123,c_2190]) ).
cnf(c_2846,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_122,c_2403]) ).
cnf(c_2859,plain,
( op(e4,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_121,c_2400]) ).
cnf(c_2892,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_118,c_2064]) ).
cnf(c_2905,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_117,c_2070]) ).
cnf(c_2918,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_116,c_2060]) ).
cnf(c_2931,plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_115,c_2069]) ).
cnf(c_2944,plain,
( op(e2,e3) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0
| e4 = e0
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_114,c_494,c_2058]) ).
cnf(c_2945,plain,
( op(e2,e3) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2944,c_242,c_241]) ).
cnf(c_2955,plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_113,c_494]) ).
cnf(c_2956,plain,
( op(e3,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2955,c_241,c_2189]) ).
cnf(c_2966,plain,
( op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1
| e4 = e1
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_112,c_494,c_2058]) ).
cnf(c_2967,plain,
( op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2966,c_239,c_238]) ).
cnf(c_2977,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_111,c_494]) ).
cnf(c_2978,plain,
( op(e4,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2977,c_238,c_2399]) ).
cnf(c_2988,plain,
( op(e2,e3) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2
| e4 = e2
| e3 = e2 ),
inference(light_normalisation,[status(thm)],[c_110,c_494,c_2058]) ).
cnf(c_2989,plain,
( op(e2,e3) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2988,c_237,c_236]) ).
cnf(c_2999,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2
| e4 = e2 ),
inference(light_normalisation,[status(thm)],[c_109,c_494]) ).
cnf(c_3000,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2999,c_236]) ).
cnf(c_3013,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_107,c_494]) ).
cnf(c_3014,plain,
( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3013,c_235]) ).
cnf(c_3027,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_104,c_2391]) ).
cnf(c_3028,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3027,c_244]) ).
cnf(c_3041,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_103,c_2188]) ).
cnf(c_3054,plain,
( op(e4,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_101,c_2398]) ).
cnf(c_3067,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2
| e2 = e1 ),
inference(light_normalisation,[status(thm)],[c_100,c_2391]) ).
cnf(c_3068,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3067,c_240]) ).
cnf(c_3091,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_98,c_2391]) ).
cnf(c_3092,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3091,c_239]) ).
cnf(c_3105,plain,
( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_97,c_2073]) ).
cnf(c_3118,plain,
( op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_96,c_2391]) ).
cnf(c_3119,plain,
( op(e3,e3) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3118,c_238,c_2061]) ).
cnf(c_3129,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_95,c_2071]) ).
cnf(c_3142,plain,
( op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_92,c_2187]) ).
cnf(c_3143,plain,
( op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3142,c_244]) ).
cnf(c_3156,plain,
( op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_90,c_2187]) ).
cnf(c_3157,plain,
( op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3156,c_243]) ).
cnf(c_3170,plain,
( op(e1,e4) = e2
| op(e0,e4) = e2
| e3 = e2
| e2 = e1
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_89,c_2058,c_2187,c_2391]) ).
cnf(c_3171,plain,
( op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3170,c_243,c_240,c_237]) ).
cnf(c_3178,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_88,c_2187]) ).
cnf(c_3179,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3178,c_242]) ).
cnf(c_3192,plain,
( op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_86,c_2187]) ).
cnf(c_3193,plain,
( op(e4,e3) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3192,c_241,c_2062]) ).
cnf(c_3203,plain,
( op(e1,e4) = e4
| op(e0,e4) = e4
| e4 = e3
| e4 = e1
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_85,c_2058,c_2187,c_2391]) ).
cnf(c_3204,plain,
( op(e1,e4) = e4
| op(e0,e4) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_3203,c_241,c_238,c_235]) ).
cnf(c_3231,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_71,c_2059]) ).
cnf(c_3254,plain,
( op(e0,e4) = e4
| op(e0,e4) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_69,c_2195,c_2404,c_2063]) ).
cnf(c_3281,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_66,c_2060]) ).
cnf(c_3304,plain,
( op(e1,e4) = e4
| op(e1,e4) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_2194,c_2403,c_2064]) ).
cnf(c_3311,plain,
( op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_2068,c_2067]) ).
cnf(c_3321,plain,
( op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_2070,c_2069]) ).
cnf(c_3331,plain,
( op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_2073,c_2071]) ).
cnf(c_3341,plain,
( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_58,c_2401]) ).
cnf(c_3354,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_57,c_2400]) ).
cnf(c_3367,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_56,c_2399,c_2061]) ).
cnf(c_3377,plain,
( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_2398]) ).
cnf(c_3390,plain,
( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_2191]) ).
cnf(c_3403,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_52,c_2190]) ).
cnf(c_3416,plain,
( op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_51,c_2189,c_2062]) ).
cnf(c_3426,plain,
( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_50,c_2188]) ).
cnf(c_14079,plain,
op(e4,e1) = sP0_iProver_def,
definition ).
cnf(c_14080,plain,
op(e4,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_14081,plain,
op(e3,e1) = sP2_iProver_def,
definition ).
cnf(c_14082,plain,
op(e3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_14083,plain,
op(e2,e1) = sP4_iProver_def,
definition ).
cnf(c_14084,plain,
op(e2,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_14085,plain,
op(e4,e0) = sP6_iProver_def,
definition ).
cnf(c_14086,plain,
op(e4,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_14087,plain,
op(e3,e0) = sP8_iProver_def,
definition ).
cnf(c_14088,plain,
op(e3,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_14089,plain,
op(e2,e0) = sP10_iProver_def,
definition ).
cnf(c_14090,plain,
op(e2,sP10_iProver_def) = sP11_iProver_def,
definition ).
cnf(c_14091,plain,
op(e4,e3) = sP12_iProver_def,
definition ).
cnf(c_14093,plain,
op(e2,e3) = sP14_iProver_def,
definition ).
cnf(c_14095,plain,
op(e4,e2) = sP16_iProver_def,
definition ).
cnf(c_14096,plain,
op(e4,sP16_iProver_def) = sP17_iProver_def,
definition ).
cnf(c_14097,plain,
op(e3,e2) = sP18_iProver_def,
definition ).
cnf(c_14098,plain,
op(e3,sP18_iProver_def) = sP19_iProver_def,
definition ).
cnf(c_14099,plain,
op(e1,sP0_iProver_def) = sP20_iProver_def,
definition ).
cnf(c_14100,plain,
op(e1,sP2_iProver_def) = sP21_iProver_def,
definition ).
cnf(c_14101,plain,
op(e1,sP4_iProver_def) = sP22_iProver_def,
definition ).
cnf(c_14102,plain,
op(e0,sP6_iProver_def) = sP23_iProver_def,
definition ).
cnf(c_14103,plain,
op(e0,sP8_iProver_def) = sP24_iProver_def,
definition ).
cnf(c_14104,plain,
op(e0,sP10_iProver_def) = sP25_iProver_def,
definition ).
cnf(c_14105,plain,
op(e3,sP12_iProver_def) = sP26_iProver_def,
definition ).
cnf(c_14106,plain,
op(e3,sP14_iProver_def) = sP27_iProver_def,
definition ).
cnf(c_14107,plain,
op(e2,sP16_iProver_def) = sP28_iProver_def,
definition ).
cnf(c_14108,plain,
op(e2,sP18_iProver_def) = sP29_iProver_def,
definition ).
cnf(c_14110,negated_conjecture,
( sP7_iProver_def != e0
| sP9_iProver_def != e0
| sP11_iProver_def != e0
| sP1 ),
inference(demodulation,[status(thm)],[c_481,c_14089,c_14090,c_14087,c_14088,c_14085,c_14086]) ).
cnf(c_14112,negated_conjecture,
( sP17_iProver_def != e2
| sP19_iProver_def != e2
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_485,c_14097,c_14098,c_14095,c_14096]) ).
cnf(c_14113,negated_conjecture,
( sP3_iProver_def != e1
| sP5_iProver_def != e1
| sP20_iProver_def = e4
| sP2 ),
inference(demodulation,[status(thm)],[c_461,c_14099]) ).
cnf(c_14115,negated_conjecture,
( sP1_iProver_def != e1
| sP3_iProver_def != e1
| sP22_iProver_def = e2
| sP2 ),
inference(demodulation,[status(thm)],[c_457,c_14101]) ).
cnf(c_14116,negated_conjecture,
( sP9_iProver_def != e0
| sP11_iProver_def != e0
| sP23_iProver_def = e4
| sP1 ),
inference(demodulation,[status(thm)],[c_455,c_14102]) ).
cnf(c_14117,negated_conjecture,
( sP7_iProver_def != e0
| sP11_iProver_def != e0
| sP24_iProver_def = e3
| sP1 ),
inference(demodulation,[status(thm)],[c_453,c_14103]) ).
cnf(c_14118,negated_conjecture,
( sP7_iProver_def != e0
| sP9_iProver_def != e0
| sP25_iProver_def = e2
| sP1 ),
inference(demodulation,[status(thm)],[c_451,c_14104]) ).
cnf(c_14121,negated_conjecture,
( sP19_iProver_def != e2
| sP28_iProver_def = e4
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_466,c_14107]) ).
cnf(c_14122,negated_conjecture,
( sP17_iProver_def != e2
| sP29_iProver_def = e3
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_464,c_14108]) ).
cnf(c_14123,negated_conjecture,
( sP5_iProver_def != e1
| sP20_iProver_def = e4
| sP21_iProver_def = e3
| sP2 ),
inference(demodulation,[status(thm)],[c_431]) ).
cnf(c_14124,negated_conjecture,
( sP3_iProver_def != e1
| sP20_iProver_def = e4
| sP22_iProver_def = e2
| sP2 ),
inference(demodulation,[status(thm)],[c_429]) ).
cnf(c_14125,negated_conjecture,
( sP1_iProver_def != e1
| sP21_iProver_def = e3
| sP22_iProver_def = e2
| sP2 ),
inference(demodulation,[status(thm)],[c_427]) ).
cnf(c_14126,negated_conjecture,
( sP11_iProver_def != e0
| sP23_iProver_def = e4
| sP24_iProver_def = e3
| sP1 ),
inference(demodulation,[status(thm)],[c_425]) ).
cnf(c_14127,negated_conjecture,
( sP9_iProver_def != e0
| sP23_iProver_def = e4
| sP25_iProver_def = e2
| sP1 ),
inference(demodulation,[status(thm)],[c_423]) ).
cnf(c_14128,negated_conjecture,
( sP7_iProver_def != e0
| sP24_iProver_def = e3
| sP25_iProver_def = e2
| sP1 ),
inference(demodulation,[status(thm)],[c_421]) ).
cnf(c_14129,negated_conjecture,
( sP26_iProver_def = e4
| sP27_iProver_def = e2
| sP7
| sP6 ),
inference(demodulation,[status(thm)],[c_440]) ).
cnf(c_14130,negated_conjecture,
( sP28_iProver_def = e4
| sP29_iProver_def = e3
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_436]) ).
cnf(c_14131,negated_conjecture,
( sP20_iProver_def = e4
| sP21_iProver_def = e3
| sP22_iProver_def = e2
| sP2 ),
inference(demodulation,[status(thm)],[c_413]) ).
cnf(c_14132,negated_conjecture,
( sP23_iProver_def = e4
| sP24_iProver_def = e3
| sP25_iProver_def = e2
| sP1 ),
inference(demodulation,[status(thm)],[c_411]) ).
cnf(c_15669,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_14132,c_14131,c_14130,c_14129,c_14128,c_14127,c_14126,c_14125,c_14124,c_14123,c_14122,c_14121,c_14118,c_14117,c_14116,c_14115,c_14113,c_14112,c_14110,c_14108,c_14107,c_14106,c_14105,c_14104,c_14103,c_14102,c_14101,c_14100,c_14099,c_14098,c_14097,c_14096,c_14095,c_14093,c_14091,c_14090,c_14089,c_14088,c_14087,c_14086,c_14085,c_14084,c_14083,c_14082,c_14081,c_14080,c_14079,c_3426,c_3416,c_3403,c_3390,c_3377,c_3367,c_3354,c_3341,c_3331,c_3321,c_3311,c_3304,c_3281,c_3254,c_3231,c_3204,c_3193,c_3179,c_3171,c_3157,c_3143,c_3129,c_3119,c_3105,c_3092,c_3068,c_3054,c_3041,c_3028,c_3014,c_3000,c_2989,c_2978,c_2967,c_2956,c_2945,c_2931,c_2918,c_2905,c_2892,c_2859,c_2846,c_2833,c_2820,c_2807,c_2794,c_2781,c_2768,c_2735,c_2722,c_2709,c_2696,c_2503,c_2441,c_2411,c_2401,c_2391,c_2194,c_2191,c_2189,c_2187,c_2073,c_2071,c_2070,c_2069,c_2068,c_2062,c_2061,c_2060,c_2059,c_2058,c_338,c_337,c_336,c_335,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_316,c_314,c_311,c_306,c_305,c_297,c_295,c_292,c_290,c_286,c_279,c_275,c_271,c_268,c_260,c_255,c_252,c_249,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_217,c_216,c_215,c_214,c_212,c_211,c_209,c_208,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_162,c_159,c_154,c_153,c_152,c_150,c_149,c_147,c_144,c_143,c_142,c_140,c_139,c_137,c_130,c_129,c_120,c_119,c_99,c_84,c_83,c_82,c_74,c_73,c_72,c_70,c_68,c_67,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 16:46:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 0.49/1.16 % SZS status Started for theBenchmark.p
% 0.49/1.16 % SZS status Theorem for theBenchmark.p
% 0.49/1.16
% 0.49/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.16
% 0.49/1.16 ------ iProver source info
% 0.49/1.16
% 0.49/1.16 git: date: 2024-06-12 09:56:46 +0000
% 0.49/1.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 0.49/1.16 git: non_committed_changes: false
% 0.49/1.16
% 0.49/1.16 ------ Parsing...
% 0.49/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing... sup_sim: 117 sf_s rm: 8 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.49/1.16
% 0.49/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.49/1.16 ------ Proving...
% 0.49/1.16 ------ Problem Properties
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 clauses 311
% 0.49/1.16 conjectures 24
% 0.49/1.16 EPR 36
% 0.49/1.16 Horn 222
% 0.49/1.16 unary 150
% 0.49/1.16 binary 74
% 0.49/1.16 lits 660
% 0.49/1.16 lits eq 536
% 0.49/1.16 fd_pure 0
% 0.49/1.16 fd_pseudo 0
% 0.49/1.16 fd_cond 0
% 0.49/1.16 fd_pseudo_cond 0
% 0.49/1.16 AC symbols 0
% 0.49/1.16
% 0.49/1.16 ------ Schedule dynamic 5 is on
% 0.49/1.16
% 0.49/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 ------
% 0.49/1.16 Current options:
% 0.49/1.16 ------
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 ------ Proving...
% 0.49/1.16
% 0.49/1.16
% 0.49/1.16 % SZS status Theorem for theBenchmark.p
% 0.49/1.16
% 0.49/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.30/1.17
% 3.30/1.17
%------------------------------------------------------------------------------