TSTP Solution File: ALG068+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG068+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:33 EDT 2024
% Result : Theorem 3.26s 1.17s
% Output : CNFRefutation 3.26s
% 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,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,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,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| 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,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| 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,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(definition_folding,[],[f9,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(f35,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f37,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f38,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f39,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f41,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f42,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f43,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f44,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f47,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f49,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f50,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f51,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f53,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f54,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f55,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f56,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f59,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(f61,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(f66,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(f67,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(f68,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(f69,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(f70,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(f71,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(f72,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(f73,plain,
( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,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(f77,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(f80,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(f81,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(f83,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,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(f101,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(f102,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(f103,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(f104,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(f109,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(f111,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(f112,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(f113,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(f115,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(f116,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(f117,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(f119,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(f122,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(f123,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f125,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(f126,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(f128,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(f129,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(f130,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(f131,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(f133,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(f135,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f139,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(f141,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(f143,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(f146,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f181,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f186,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f224,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f226,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f229,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f230,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f240,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f241,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f242,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f243,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f246,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f260,plain,
( e3 != op(op(e4,e3),e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f263,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f264,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f266,plain,
( e1 != op(op(e4,e1),e4)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f267,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f269,plain,
( e0 != op(op(e4,e0),e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f270,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f272,plain,
( e4 != op(op(e3,e4),e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f277,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f278,plain,
( e2 != op(op(e3,e2),e3)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f280,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f281,plain,
( e1 != op(op(e3,e1),e3)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f282,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f284,plain,
( e0 != op(op(e3,e0),e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f286,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f290,plain,
( e3 != op(op(e2,e3),e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f296,plain,
( e1 != op(op(e2,e1),e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f297,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f299,plain,
( e0 != op(op(e2,e0),e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f300,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f301,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f304,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f305,plain,
( e3 != op(op(e1,e3),e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f307,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f314,plain,
( e0 != op(op(e1,e0),e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f315,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f316,plain,
( e0 = op(op(e0,e4),e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f318,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f319,plain,
( e0 = op(op(e0,e3),e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f321,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f322,plain,
( e0 = op(op(e0,e2),e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f324,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f325,plain,
( e0 = op(op(e0,e1),e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f331,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f333,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f34]) ).
fof(f334,plain,
( e0 = op(e0,e4)
| op(e0,e0) != e4 ),
inference(cnf_transformation,[],[f34]) ).
fof(f335,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f340,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f344,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f345,plain,
( e3 = op(e3,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f346,plain,
( e3 = op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f347,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f349,plain,
( e3 = op(e3,e4)
| e4 != op(e3,e3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f350,plain,
( e4 = op(e4,e0)
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f352,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f357,plain,
( e4 != op(op(e4,e4),e4)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_49,plain,
( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 ),
inference(cnf_transformation,[],[f83]) ).
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,[],[f81]) ).
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,[],[f80]) ).
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,[],[f77]) ).
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,[],[f75]) ).
cnf(c_59,plain,
( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(cnf_transformation,[],[f73]) ).
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,[],[f72]) ).
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,[],[f71]) ).
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,[],[f70]) ).
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,[],[f69]) ).
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,[],[f68]) ).
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,[],[f67]) ).
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,[],[f66]) ).
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,[],[f61]) ).
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,[],[f59]) ).
cnf(c_74,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_75,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f93]) ).
cnf(c_76,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f92]) ).
cnf(c_77,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f91]) ).
cnf(c_78,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f90]) ).
cnf(c_79,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f89]) ).
cnf(c_80,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f88]) ).
cnf(c_81,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f87]) ).
cnf(c_82,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f86]) ).
cnf(c_83,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f85]) ).
cnf(c_84,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f84]) ).
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,[],[f143]) ).
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,[],[f141]) ).
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,[],[f139]) ).
cnf(c_91,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_93,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_94,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 ),
inference(cnf_transformation,[],[f135]) ).
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,[],[f133]) ).
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,[],[f131]) ).
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,[],[f130]) ).
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,[],[f129]) ).
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,[],[f128]) ).
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,[],[f126]) ).
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,[],[f125]) ).
cnf(c_106,plain,
( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(cnf_transformation,[],[f123]) ).
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,[],[f122]) ).
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,[],[f119]) ).
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,[],[f117]) ).
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,[],[f116]) ).
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,[],[f115]) ).
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,[],[f113]) ).
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,[],[f112]) ).
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,[],[f111]) ).
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,[],[f109]) ).
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,[],[f104]) ).
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,[],[f103]) ).
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,[],[f102]) ).
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,[],[f101]) ).
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,[],[f97]) ).
cnf(c_136,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f243]) ).
cnf(c_137,plain,
op(e4,e3) != op(e4,e2),
inference(cnf_transformation,[],[f242]) ).
cnf(c_138,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f241]) ).
cnf(c_139,plain,
op(e4,e3) != op(e4,e1),
inference(cnf_transformation,[],[f240]) ).
cnf(c_140,plain,
op(e4,e2) != op(e4,e1),
inference(cnf_transformation,[],[f239]) ).
cnf(c_146,plain,
op(e3,e4) != op(e3,e2),
inference(cnf_transformation,[],[f233]) ).
cnf(c_149,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f230]) ).
cnf(c_150,plain,
op(e3,e2) != op(e3,e1),
inference(cnf_transformation,[],[f229]) ).
cnf(c_153,plain,
op(e3,e2) != op(e3,e0),
inference(cnf_transformation,[],[f226]) ).
cnf(c_154,plain,
op(e3,e1) != op(e3,e0),
inference(cnf_transformation,[],[f225]) ).
cnf(c_155,plain,
op(e2,e4) != op(e2,e3),
inference(cnf_transformation,[],[f224]) ).
cnf(c_156,plain,
op(e2,e4) != op(e2,e2),
inference(cnf_transformation,[],[f223]) ).
cnf(c_157,plain,
op(e2,e3) != op(e2,e2),
inference(cnf_transformation,[],[f222]) ).
cnf(c_158,plain,
op(e2,e4) != op(e2,e1),
inference(cnf_transformation,[],[f221]) ).
cnf(c_159,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f220]) ).
cnf(c_161,plain,
op(e2,e4) != op(e2,e0),
inference(cnf_transformation,[],[f218]) ).
cnf(c_162,plain,
op(e2,e3) != op(e2,e0),
inference(cnf_transformation,[],[f217]) ).
cnf(c_164,plain,
op(e2,e1) != op(e2,e0),
inference(cnf_transformation,[],[f215]) ).
cnf(c_165,plain,
op(e1,e4) != op(e1,e3),
inference(cnf_transformation,[],[f214]) ).
cnf(c_166,plain,
op(e1,e4) != op(e1,e2),
inference(cnf_transformation,[],[f213]) ).
cnf(c_168,plain,
op(e1,e4) != op(e1,e1),
inference(cnf_transformation,[],[f211]) ).
cnf(c_169,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f210]) ).
cnf(c_170,plain,
op(e1,e2) != op(e1,e1),
inference(cnf_transformation,[],[f209]) ).
cnf(c_171,plain,
op(e1,e4) != op(e1,e0),
inference(cnf_transformation,[],[f208]) ).
cnf(c_172,plain,
op(e1,e3) != op(e1,e0),
inference(cnf_transformation,[],[f207]) ).
cnf(c_177,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f202]) ).
cnf(c_178,plain,
op(e0,e4) != op(e0,e1),
inference(cnf_transformation,[],[f201]) ).
cnf(c_182,plain,
op(e0,e3) != op(e0,e0),
inference(cnf_transformation,[],[f197]) ).
cnf(c_183,plain,
op(e0,e2) != op(e0,e0),
inference(cnf_transformation,[],[f196]) ).
cnf(c_184,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f195]) ).
cnf(c_185,plain,
op(e4,e4) != op(e3,e4),
inference(cnf_transformation,[],[f194]) ).
cnf(c_186,plain,
op(e4,e4) != op(e2,e4),
inference(cnf_transformation,[],[f193]) ).
cnf(c_187,plain,
op(e3,e4) != op(e2,e4),
inference(cnf_transformation,[],[f192]) ).
cnf(c_188,plain,
op(e4,e4) != op(e1,e4),
inference(cnf_transformation,[],[f191]) ).
cnf(c_189,plain,
op(e3,e4) != op(e1,e4),
inference(cnf_transformation,[],[f190]) ).
cnf(c_190,plain,
op(e2,e4) != op(e1,e4),
inference(cnf_transformation,[],[f189]) ).
cnf(c_192,plain,
op(e3,e4) != op(e0,e4),
inference(cnf_transformation,[],[f187]) ).
cnf(c_193,plain,
op(e2,e4) != op(e0,e4),
inference(cnf_transformation,[],[f186]) ).
cnf(c_194,plain,
op(e1,e4) != op(e0,e4),
inference(cnf_transformation,[],[f185]) ).
cnf(c_195,plain,
op(e4,e3) != op(e3,e3),
inference(cnf_transformation,[],[f184]) ).
cnf(c_196,plain,
op(e4,e3) != op(e2,e3),
inference(cnf_transformation,[],[f183]) ).
cnf(c_197,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f182]) ).
cnf(c_198,plain,
op(e4,e3) != op(e1,e3),
inference(cnf_transformation,[],[f181]) ).
cnf(c_199,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f180]) ).
cnf(c_200,plain,
op(e2,e3) != op(e1,e3),
inference(cnf_transformation,[],[f179]) ).
cnf(c_201,plain,
op(e4,e3) != op(e0,e3),
inference(cnf_transformation,[],[f178]) ).
cnf(c_202,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f177]) ).
cnf(c_203,plain,
op(e2,e3) != op(e0,e3),
inference(cnf_transformation,[],[f176]) ).
cnf(c_204,plain,
op(e1,e3) != op(e0,e3),
inference(cnf_transformation,[],[f175]) ).
cnf(c_205,plain,
op(e4,e2) != op(e3,e2),
inference(cnf_transformation,[],[f174]) ).
cnf(c_206,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f173]) ).
cnf(c_208,plain,
op(e4,e2) != op(e1,e2),
inference(cnf_transformation,[],[f171]) ).
cnf(c_209,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f170]) ).
cnf(c_210,plain,
op(e2,e2) != op(e1,e2),
inference(cnf_transformation,[],[f169]) ).
cnf(c_211,plain,
op(e4,e2) != op(e0,e2),
inference(cnf_transformation,[],[f168]) ).
cnf(c_212,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f167]) ).
cnf(c_214,plain,
op(e1,e2) != op(e0,e2),
inference(cnf_transformation,[],[f165]) ).
cnf(c_215,plain,
op(e4,e1) != op(e3,e1),
inference(cnf_transformation,[],[f164]) ).
cnf(c_216,plain,
op(e4,e1) != op(e2,e1),
inference(cnf_transformation,[],[f163]) ).
cnf(c_217,plain,
op(e3,e1) != op(e2,e1),
inference(cnf_transformation,[],[f162]) ).
cnf(c_218,plain,
op(e4,e1) != op(e1,e1),
inference(cnf_transformation,[],[f161]) ).
cnf(c_219,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f160]) ).
cnf(c_220,plain,
op(e2,e1) != op(e1,e1),
inference(cnf_transformation,[],[f159]) ).
cnf(c_221,plain,
op(e4,e1) != op(e0,e1),
inference(cnf_transformation,[],[f158]) ).
cnf(c_222,plain,
op(e3,e1) != op(e0,e1),
inference(cnf_transformation,[],[f157]) ).
cnf(c_223,plain,
op(e2,e1) != op(e0,e1),
inference(cnf_transformation,[],[f156]) ).
cnf(c_224,plain,
op(e1,e1) != op(e0,e1),
inference(cnf_transformation,[],[f155]) ).
cnf(c_225,plain,
op(e4,e0) != op(e3,e0),
inference(cnf_transformation,[],[f154]) ).
cnf(c_226,plain,
op(e4,e0) != op(e2,e0),
inference(cnf_transformation,[],[f153]) ).
cnf(c_227,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f152]) ).
cnf(c_230,plain,
op(e2,e0) != op(e1,e0),
inference(cnf_transformation,[],[f149]) ).
cnf(c_231,plain,
op(e4,e0) != op(e0,e0),
inference(cnf_transformation,[],[f148]) ).
cnf(c_232,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f147]) ).
cnf(c_233,plain,
op(e2,e0) != op(e0,e0),
inference(cnf_transformation,[],[f146]) ).
cnf(c_235,plain,
e4 != e3,
inference(cnf_transformation,[],[f254]) ).
cnf(c_236,plain,
e4 != e2,
inference(cnf_transformation,[],[f253]) ).
cnf(c_237,plain,
e3 != e2,
inference(cnf_transformation,[],[f252]) ).
cnf(c_238,plain,
e4 != e1,
inference(cnf_transformation,[],[f251]) ).
cnf(c_239,plain,
e3 != e1,
inference(cnf_transformation,[],[f250]) ).
cnf(c_240,plain,
e2 != e1,
inference(cnf_transformation,[],[f249]) ).
cnf(c_241,plain,
e4 != e0,
inference(cnf_transformation,[],[f248]) ).
cnf(c_242,plain,
e3 != e0,
inference(cnf_transformation,[],[f247]) ).
cnf(c_243,plain,
e2 != e0,
inference(cnf_transformation,[],[f246]) ).
cnf(c_244,plain,
e1 != e0,
inference(cnf_transformation,[],[f245]) ).
cnf(c_245,plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],[f257]) ).
cnf(c_246,plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],[f256]) ).
cnf(c_247,plain,
op(op(e4,e2),op(e4,e2)) = e0,
inference(cnf_transformation,[],[f255]) ).
cnf(c_248,plain,
( op(op(e4,e3),e4) != e3
| ~ sP23 ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_250,plain,
( op(e4,e3) != op(e3,e4)
| ~ sP23 ),
inference(cnf_transformation,[],[f258]) ).
cnf(c_251,plain,
( op(op(e4,e2),e4) != e2
| ~ sP22 ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_254,plain,
( op(op(e4,e1),e4) != e1
| ~ sP21 ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_256,plain,
( op(e4,e1) != op(e1,e4)
| ~ sP21 ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_257,plain,
( op(op(e4,e0),e4) != e0
| ~ sP20 ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_259,plain,
( op(e4,e0) != op(e0,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f267]) ).
cnf(c_260,plain,
( op(op(e3,e4),e3) != e4
| ~ sP19 ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_262,plain,
( op(e4,e3) != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_265,plain,
~ sP18,
inference(cnf_transformation,[],[f358]) ).
cnf(c_266,plain,
( op(op(e3,e2),e3) != e2
| ~ sP17 ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_267,plain,
( ~ sP17
| op(op(e3,e2),e2) = e3 ),
inference(cnf_transformation,[],[f277]) ).
cnf(c_269,plain,
( op(op(e3,e1),e3) != e1
| ~ sP16 ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_270,plain,
( ~ sP16
| op(op(e3,e1),e1) = e3 ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_272,plain,
( op(op(e3,e0),e3) != e0
| ~ sP15 ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_274,plain,
( op(e3,e0) != op(e0,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_276,plain,
( ~ sP14
| op(op(e2,e4),e4) = e2 ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_278,plain,
( op(op(e2,e3),e2) != e3
| ~ sP13 ),
inference(cnf_transformation,[],[f290]) ).
cnf(c_283,plain,
~ sP12,
inference(cnf_transformation,[],[f359]) ).
cnf(c_284,plain,
( op(op(e2,e1),e2) != e1
| ~ sP11 ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_287,plain,
( op(op(e2,e0),e2) != e0
| ~ sP10 ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_289,plain,
( op(e2,e0) != op(e0,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_291,plain,
( ~ sP9
| op(op(e1,e4),e4) = e1 ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_292,plain,
( op(e4,e1) != op(e1,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_293,plain,
( op(op(e1,e3),e1) != e3
| ~ sP8 ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_294,plain,
( ~ sP8
| op(op(e1,e3),e3) = e1 ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_297,plain,
( ~ sP7
| op(op(e1,e2),e2) = e1 ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_301,plain,
~ sP6,
inference(cnf_transformation,[],[f360]) ).
cnf(c_302,plain,
( op(op(e1,e0),e1) != e0
| ~ sP5 ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_306,plain,
( ~ sP4
| op(op(e0,e4),e4) = e0 ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_307,plain,
( op(e4,e0) != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_309,plain,
( ~ sP3
| op(op(e0,e3),e3) = e0 ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_310,plain,
( op(e3,e0) != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_312,plain,
( ~ sP2
| op(op(e0,e2),e2) = e0 ),
inference(cnf_transformation,[],[f322]) ).
cnf(c_313,plain,
( op(e2,e0) != op(e0,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_315,plain,
( ~ sP1
| op(op(e0,e1),e1) = e0 ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_316,plain,
( op(e1,e0) != op(e0,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_319,plain,
~ sP0,
inference(cnf_transformation,[],[f361]) ).
cnf(c_320,negated_conjecture,
( op(op(e4,e4),e4) != e4
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_322,negated_conjecture,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_324,negated_conjecture,
( op(e4,e4) != e2
| op(e4,e2) = e4 ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_326,negated_conjecture,
( op(e4,e4) != e0
| op(e4,e0) = e4 ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_327,negated_conjecture,
( op(e3,e3) != e4
| op(e3,e4) = e3 ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_328,negated_conjecture,
( op(e3,e3) != e2
| op(e3,e2) = e3 ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_329,negated_conjecture,
( op(e3,e3) != e1
| op(e3,e1) = e3 ),
inference(cnf_transformation,[],[f346]) ).
cnf(c_330,negated_conjecture,
( op(e3,e3) != e0
| op(e3,e0) = e3 ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_331,negated_conjecture,
( op(e2,e2) != e4
| op(e2,e4) = e2 ),
inference(cnf_transformation,[],[f344]) ).
cnf(c_334,negated_conjecture,
( op(e2,e2) != e0
| op(e2,e0) = e2 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_338,negated_conjecture,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_339,negated_conjecture,
( op(e0,e0) != e4
| op(e0,e4) = e0 ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_340,negated_conjecture,
( op(e0,e0) != e3
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_342,negated_conjecture,
( op(e0,e0) != e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[],[f331]) ).
cnf(c_359,plain,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP13
| sP14
| sP15
| sP16
| sP17
| sP23
| sP22
| sP21
| sP20
| sP19
| sP11
| sP10
| sP9
| sP8
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_322,c_319,c_301,c_283,c_265,c_322]) ).
cnf(c_360,negated_conjecture,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(renaming,[status(thm)],[c_359]) ).
cnf(c_369,plain,
op(e2,e4) = e3,
inference(global_subsumption_just,[status(thm)],[c_59,c_245]) ).
cnf(c_371,plain,
op(e4,e2) = e1,
inference(global_subsumption_just,[status(thm)],[c_51,c_246]) ).
cnf(c_375,plain,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP13
| sP14
| sP15
| sP16
| sP17
| sP23
| sP22
| sP21
| sP20
| sP19
| sP11
| sP10
| sP9
| sP8
| sP7 ),
inference(global_subsumption_just,[status(thm)],[c_320,c_360]) ).
cnf(c_376,negated_conjecture,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(renaming,[status(thm)],[c_375]) ).
cnf(c_1691,plain,
op(e0,e2) != e1,
inference(light_normalisation,[status(thm)],[c_211,c_371]) ).
cnf(c_1692,plain,
op(e1,e2) != e1,
inference(light_normalisation,[status(thm)],[c_208,c_371]) ).
cnf(c_1693,plain,
op(e2,e2) != e1,
inference(light_normalisation,[status(thm)],[c_206,c_371]) ).
cnf(c_1694,plain,
op(e3,e2) != e1,
inference(light_normalisation,[status(thm)],[c_205,c_371]) ).
cnf(c_1695,plain,
op(e0,e4) != e3,
inference(light_normalisation,[status(thm)],[c_193,c_369]) ).
cnf(c_1696,plain,
op(e1,e4) != e3,
inference(light_normalisation,[status(thm)],[c_190,c_369]) ).
cnf(c_1697,plain,
op(e3,e4) != e3,
inference(light_normalisation,[status(thm)],[c_187,c_369]) ).
cnf(c_1698,plain,
op(e4,e4) != e3,
inference(light_normalisation,[status(thm)],[c_186,c_369]) ).
cnf(c_1699,plain,
op(e2,e0) != e3,
inference(light_normalisation,[status(thm)],[c_161,c_369]) ).
cnf(c_1700,plain,
op(e2,e1) != e3,
inference(light_normalisation,[status(thm)],[c_158,c_369]) ).
cnf(c_1701,plain,
op(e2,e2) != e3,
inference(light_normalisation,[status(thm)],[c_156,c_369]) ).
cnf(c_1702,plain,
op(e2,e3) != e3,
inference(light_normalisation,[status(thm)],[c_155,c_369]) ).
cnf(c_1704,plain,
op(e4,e1) != e1,
inference(light_normalisation,[status(thm)],[c_140,c_371]) ).
cnf(c_1705,plain,
op(e4,e3) != e1,
inference(light_normalisation,[status(thm)],[c_137,c_371]) ).
cnf(c_1706,plain,
op(e4,e4) != e1,
inference(light_normalisation,[status(thm)],[c_136,c_371]) ).
cnf(c_1749,plain,
( ~ sP14
| op(e3,e4) = e2 ),
inference(light_normalisation,[status(thm)],[c_276,c_369]) ).
cnf(c_1787,plain,
op(e1,e1) = e0,
inference(light_normalisation,[status(thm)],[c_247,c_371]) ).
cnf(c_1788,plain,
op(e1,e4) != e0,
inference(demodulation,[status(thm)],[c_168,c_1787]) ).
cnf(c_1789,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm)],[c_169,c_1787]) ).
cnf(c_1790,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm)],[c_170,c_1787]) ).
cnf(c_1792,plain,
op(e4,e1) != e0,
inference(demodulation,[status(thm)],[c_218,c_1787]) ).
cnf(c_1793,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm)],[c_219,c_1787]) ).
cnf(c_1794,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm)],[c_220,c_1787]) ).
cnf(c_1795,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm)],[c_224,c_1787]) ).
cnf(c_1939,plain,
( op(e1,e4) != e2
| ~ sP22 ),
inference(light_normalisation,[status(thm)],[c_251,c_371]) ).
cnf(c_1952,plain,
op(e0,e0) != e1,
inference(forward_subsumption_resolution,[status(thm)],[c_342,c_1795]) ).
cnf(c_1965,plain,
( e0 != e0
| op(e1,e0) = e1 ),
inference(demodulation,[status(thm)],[c_338,c_1787]) ).
cnf(c_1966,plain,
op(e1,e0) = e1,
inference(equality_resolution_simp,[status(thm)],[c_1965]) ).
cnf(c_1967,plain,
( op(e1,e1) != e0
| ~ sP5 ),
inference(demodulation,[status(thm)],[c_302,c_1966]) ).
cnf(c_1969,plain,
( op(e0,e1) != e1
| ~ sP1 ),
inference(demodulation,[status(thm)],[c_316,c_1966]) ).
cnf(c_1972,plain,
op(e1,e4) != e1,
inference(demodulation,[status(thm)],[c_171,c_1966]) ).
cnf(c_1973,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm)],[c_172,c_1966]) ).
cnf(c_1977,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm)],[c_230,c_1966]) ).
cnf(c_1987,plain,
( e0 != e0
| ~ sP5 ),
inference(demodulation,[status(thm)],[c_1967,c_1787]) ).
cnf(c_1988,plain,
~ sP5,
inference(equality_resolution_simp,[status(thm)],[c_1987]) ).
cnf(c_1996,plain,
( op(e2,e2) != e4
| e3 = e2 ),
inference(light_normalisation,[status(thm)],[c_331,c_369]) ).
cnf(c_1997,plain,
op(e2,e2) != e4,
inference(forward_subsumption_resolution,[status(thm)],[c_1996,c_237]) ).
cnf(c_2010,plain,
op(e3,e3) != e4,
inference(forward_subsumption_resolution,[status(thm)],[c_327,c_1697]) ).
cnf(c_2015,plain,
( op(e4,e4) != e2
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_324,c_371]) ).
cnf(c_2016,plain,
op(e4,e4) != e2,
inference(forward_subsumption_resolution,[status(thm)],[c_2015,c_238]) ).
cnf(c_2017,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| sP1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_376,c_1988]) ).
cnf(c_2085,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_132,c_1952,c_1691]) ).
cnf(c_2112,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_1695]) ).
cnf(c_2121,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e0,e0) = e3
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_127,c_1966]) ).
cnf(c_2122,plain,
( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e0,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2121,c_239,c_1699]) ).
cnf(c_2139,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e0,e0) = e4
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_125,c_1966]) ).
cnf(c_2140,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e0,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2139,c_238]) ).
cnf(c_2157,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| e2 = e1
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_120,c_1787,c_1966]) ).
cnf(c_2158,plain,
( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2157,c_243,c_240]) ).
cnf(c_2175,plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| e3 = e1
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_118,c_1787,c_1966]) ).
cnf(c_2176,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2175,c_242,c_239,c_1696]) ).
cnf(c_2181,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_117,c_1787]) ).
cnf(c_2182,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e0,e1) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2181,c_242,c_1700]) ).
cnf(c_2189,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| e4 = e1
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_116,c_1787,c_1966]) ).
cnf(c_2190,plain,
( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2189,c_241,c_238]) ).
cnf(c_2207,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_114,c_369]) ).
cnf(c_2208,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2207,c_242,c_1794]) ).
cnf(c_2215,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_113,c_371]) ).
cnf(c_2216,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2215,c_244,c_1790]) ).
cnf(c_2223,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_112,c_369]) ).
cnf(c_2224,plain,
( op(e2,e3) = e1
| op(e2,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2223,c_239,c_1977,c_1693]) ).
cnf(c_2229,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2
| e3 = e2 ),
inference(light_normalisation,[status(thm)],[c_110,c_369]) ).
cnf(c_2230,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2229,c_237]) ).
cnf(c_2249,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_107,c_371]) ).
cnf(c_2250,plain,
( op(e3,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2249,c_239,c_1701]) ).
cnf(c_2257,plain,
( op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_106,c_369]) ).
cnf(c_2258,plain,
( op(e2,e3) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2257,c_235,c_1997]) ).
cnf(c_2273,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_104,c_1793]) ).
cnf(c_2282,plain,
( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e0,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_103,c_1789]) ).
cnf(c_2298,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_101,c_1973,c_1705]) ).
cnf(c_2325,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_98,c_1697]) ).
cnf(c_2343,plain,
( op(e3,e4) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_96,c_2010]) ).
cnf(c_2361,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_94,c_371]) ).
cnf(c_2362,plain,
( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2361,c_244,c_1792]) ).
cnf(c_2369,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_93,c_369]) ).
cnf(c_2370,plain,
( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e0,e4) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2369,c_242,c_1788]) ).
cnf(c_2377,plain,
( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_91,c_369]) ).
cnf(c_2378,plain,
( op(e3,e4) = e1
| op(e0,e4) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2377,c_239,c_1972,c_1706]) ).
cnf(c_2383,plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2
| e2 = e1 ),
inference(light_normalisation,[status(thm)],[c_90,c_371]) ).
cnf(c_2384,plain,
( op(e4,e3) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2383,c_240,c_2016]) ).
cnf(c_2399,plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_88,c_371]) ).
cnf(c_2400,plain,
( op(e4,e3) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2399,c_239,c_1698]) ).
cnf(c_2407,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_86,c_371]) ).
cnf(c_2408,plain,
( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2407,c_238]) ).
cnf(c_2427,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_73,c_1952]) ).
cnf(c_2445,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_71,c_1691]) ).
cnf(c_2473,plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_66,c_1790,c_1692]) ).
cnf(c_2480,plain,
( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_65,c_1789,c_1973]) ).
cnf(c_2487,plain,
( op(e1,e4) = e4
| op(e1,e4) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_64,c_1788,c_1972,c_1696]) ).
cnf(c_2492,plain,
( op(e2,e0) = e4
| op(e2,e0) = e2
| op(e2,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_1977,c_1699]) ).
cnf(c_2499,plain,
( op(e2,e1) = e4
| op(e2,e1) = e2
| op(e2,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_1794,c_1700]) ).
cnf(c_2506,plain,
( op(e2,e2) = e2
| op(e2,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_61,c_1693,c_1701,c_1997]) ).
cnf(c_2511,plain,
( op(e2,e3) = e4
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_1702]) ).
cnf(c_2529,plain,
( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_57,c_1793]) ).
cnf(c_2547,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_2010]) ).
cnf(c_2574,plain,
( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_52,c_1792,c_1704]) ).
cnf(c_2590,plain,
( op(e4,e4) = e4
| op(e4,e4) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_49,c_1706,c_2016,c_1698]) ).
cnf(c_5772,plain,
( op(e4,e4) = e4
| op(e4,e0) = e4 ),
inference(global_subsumption_just,[status(thm)],[c_2408,c_326,c_2590]) ).
cnf(c_5774,plain,
( op(e2,e2) = e2
| op(e2,e0) = e2 ),
inference(global_subsumption_just,[status(thm)],[c_2230,c_334,c_2506]) ).
cnf(c_10671,plain,
op(e0,e0) = sP0_iProver_def,
definition ).
cnf(c_10672,plain,
op(e0,e2) = sP1_iProver_def,
definition ).
cnf(c_10673,plain,
op(e0,e3) = sP2_iProver_def,
definition ).
cnf(c_10674,plain,
op(e0,e4) = sP3_iProver_def,
definition ).
cnf(c_10675,plain,
op(e2,e2) = sP4_iProver_def,
definition ).
cnf(c_10676,plain,
op(e2,e0) = sP5_iProver_def,
definition ).
cnf(c_10677,plain,
op(e3,e3) = sP6_iProver_def,
definition ).
cnf(c_10678,plain,
op(e3,e0) = sP7_iProver_def,
definition ).
cnf(c_10679,plain,
op(e3,e1) = sP8_iProver_def,
definition ).
cnf(c_10680,plain,
op(e3,e2) = sP9_iProver_def,
definition ).
cnf(c_10681,plain,
op(e4,e4) = sP10_iProver_def,
definition ).
cnf(c_10682,plain,
op(e4,e0) = sP11_iProver_def,
definition ).
cnf(c_10684,negated_conjecture,
( sP0_iProver_def != e3
| sP2_iProver_def = e0 ),
inference(demodulation,[status(thm)],[c_340,c_10673]) ).
cnf(c_10685,negated_conjecture,
( sP0_iProver_def != e4
| sP3_iProver_def = e0 ),
inference(demodulation,[status(thm)],[c_339,c_10674]) ).
cnf(c_10686,negated_conjecture,
( sP4_iProver_def != e0
| sP5_iProver_def = e2 ),
inference(demodulation,[status(thm)],[c_334,c_10676,c_10675]) ).
cnf(c_10687,negated_conjecture,
( sP6_iProver_def != e0
| sP7_iProver_def = e3 ),
inference(demodulation,[status(thm)],[c_330,c_10678,c_10677]) ).
cnf(c_10688,negated_conjecture,
( sP6_iProver_def != e1
| sP8_iProver_def = e3 ),
inference(demodulation,[status(thm)],[c_329,c_10679]) ).
cnf(c_10689,negated_conjecture,
( sP6_iProver_def != e2
| sP9_iProver_def = e3 ),
inference(demodulation,[status(thm)],[c_328,c_10680]) ).
cnf(c_10690,negated_conjecture,
( sP10_iProver_def != e0
| sP11_iProver_def = e4 ),
inference(demodulation,[status(thm)],[c_326,c_10682,c_10681]) ).
cnf(c_11750,plain,
e4 != sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_2010,c_10677]) ).
cnf(c_11791,plain,
( op(e0,e1) = e1
| e1 = sP2_iProver_def
| e1 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2085,c_10673,c_10674]) ).
cnf(c_11798,plain,
( op(e3,e4) = e4
| e4 = sP7_iProver_def
| e4 = sP8_iProver_def
| e4 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2343,c_10678,c_10679,c_10680]) ).
cnf(c_11816,plain,
( e4 = sP0_iProver_def
| e3 = sP0_iProver_def
| e2 = sP0_iProver_def
| e0 = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2427,c_10671]) ).
cnf(c_11889,plain,
( e3 = sP6_iProver_def
| e2 = sP6_iProver_def
| e1 = sP6_iProver_def
| e0 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2547,c_10677]) ).
cnf(c_11907,plain,
( e3 = sP6_iProver_def
| e3 = sP7_iProver_def
| e2 = sP6_iProver_def
| e1 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_11889,c_10687]) ).
cnf(c_11957,plain,
( e3 = sP6_iProver_def
| e3 = sP7_iProver_def
| e3 = sP8_iProver_def
| e2 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_11907,c_10688]) ).
cnf(c_12004,plain,
( e4 != sP8_iProver_def
| e3 = sP6_iProver_def
| e3 = sP7_iProver_def
| e2 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_11957,c_235]) ).
cnf(c_12052,plain,
( op(unit,sP6_iProver_def) = sP6_iProver_def
| e3 = sP6_iProver_def
| e3 = sP7_iProver_def
| e2 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_11907,c_82]) ).
cnf(c_12067,plain,
( op(unit,sP6_iProver_def) = sP6_iProver_def
| e3 = sP6_iProver_def
| e2 = sP6_iProver_def
| e1 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_11889,c_84]) ).
cnf(c_12165,plain,
e1 != sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_1694,c_10680]) ).
cnf(c_12223,plain,
( op(e3,sP6_iProver_def) = sP7_iProver_def
| e3 = sP6_iProver_def
| e2 = sP6_iProver_def
| e1 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_11889,c_10678]) ).
cnf(c_12515,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_12223,c_12165,c_12067,c_12052,c_12004,c_11957,c_11907,c_11816,c_11798,c_11791,c_11750,c_10690,c_10689,c_10688,c_10687,c_10686,c_10685,c_10684,c_10682,c_10681,c_10680,c_10679,c_10678,c_10677,c_10676,c_10675,c_10674,c_10673,c_10672,c_10671,c_5774,c_5772,c_2574,c_2529,c_2511,c_2499,c_2492,c_2487,c_2480,c_2473,c_2445,c_2400,c_2384,c_2378,c_2370,c_2362,c_2325,c_2298,c_2282,c_2273,c_2258,c_2250,c_2224,c_2216,c_2208,c_2190,c_2182,c_2176,c_2158,c_2140,c_2122,c_2112,c_2085,c_2017,c_1969,c_1966,c_1939,c_1793,c_1787,c_1749,c_1705,c_1704,c_315,c_313,c_312,c_310,c_309,c_307,c_306,c_297,c_294,c_293,c_292,c_291,c_289,c_287,c_284,c_278,c_274,c_272,c_270,c_269,c_267,c_266,c_262,c_260,c_259,c_257,c_256,c_254,c_250,c_248,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_233,c_232,c_231,c_227,c_226,c_225,c_223,c_222,c_221,c_217,c_216,c_215,c_214,c_212,c_210,c_209,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_194,c_192,c_189,c_188,c_185,c_184,c_183,c_182,c_178,c_177,c_166,c_165,c_164,c_162,c_159,c_157,c_154,c_153,c_150,c_149,c_146,c_139,c_138,c_126,c_100,c_99,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG068+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:45:26 EDT 2024
% 0.14/0.35 % 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
% 3.26/1.17 % SZS status Started for theBenchmark.p
% 3.26/1.17 % SZS status Theorem for theBenchmark.p
% 3.26/1.17
% 3.26/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.26/1.17
% 3.26/1.17 ------ iProver source info
% 3.26/1.17
% 3.26/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.26/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.26/1.17 git: non_committed_changes: false
% 3.26/1.17
% 3.26/1.17 ------ Parsing...
% 3.26/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.26/1.17
% 3.26/1.17 ------ Preprocessing... sup_sim: 127 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.26/1.17
% 3.26/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.26/1.17
% 3.26/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.26/1.17 ------ Proving...
% 3.26/1.17 ------ Problem Properties
% 3.26/1.17
% 3.26/1.17
% 3.26/1.17 clauses 264
% 3.26/1.17 conjectures 8
% 3.26/1.17 EPR 20
% 3.26/1.17 Horn 199
% 3.26/1.17 unary 136
% 3.26/1.17 binary 71
% 3.26/1.17 lits 504
% 3.26/1.17 lits eq 430
% 3.26/1.17 fd_pure 0
% 3.26/1.17 fd_pseudo 0
% 3.26/1.17 fd_cond 0
% 3.26/1.17 fd_pseudo_cond 0
% 3.26/1.17 AC symbols 0
% 3.26/1.17
% 3.26/1.17 ------ Schedule dynamic 5 is on
% 3.26/1.17
% 3.26/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.26/1.17
% 3.26/1.17
% 3.26/1.17 ------
% 3.26/1.17 Current options:
% 3.26/1.17 ------
% 3.26/1.17
% 3.26/1.17
% 3.26/1.17
% 3.26/1.17
% 3.26/1.17 ------ Proving...
% 3.26/1.17
% 3.26/1.17
% 3.26/1.17 % SZS status Theorem for theBenchmark.p
% 3.26/1.17
% 3.26/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.26/1.18
% 3.26/1.18
%------------------------------------------------------------------------------