TSTP Solution File: ALG061+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG061+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:03:31 EDT 2024
% Result : Theorem 0.47s 1.17s
% Output : CNFRefutation 0.47s
% 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(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(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( ( 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)) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( 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)) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f9,plain,
( ( ( 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)) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| 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,
( ( ( 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 )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f21,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f22,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f23,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f24,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f25,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f26,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f28,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f29,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f30,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f32,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(f33,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(f34,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(f36,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(f37,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(f39,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(f45,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(f46,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(f48,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(f52,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(f53,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(f67,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(f71,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(f72,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(f73,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(f76,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(f79,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(f80,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(f82,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(f84,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(f89,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(f90,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(f92,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(f96,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f97,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(f98,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(f102,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(f106,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(f114,plain,
( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f116,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(f118,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f136,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f142,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f184,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f215,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f218,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f219,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f228,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f231,plain,
( e4 != op(e1,op(e1,e4))
| ~ sP9 ),
inference(cnf_transformation,[],[f21]) ).
fof(f233,plain,
( e4 != op(e0,op(e0,e4))
| ~ sP8 ),
inference(cnf_transformation,[],[f22]) ).
fof(f236,plain,
( e1 = op(e3,op(e1,e3))
| ~ sP7 ),
inference(cnf_transformation,[],[f23]) ).
fof(f237,plain,
( e3 != op(e0,op(e0,e3))
| ~ sP6 ),
inference(cnf_transformation,[],[f24]) ).
fof(f239,plain,
( e2 != op(e1,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f25]) ).
fof(f240,plain,
( e1 = op(e2,op(e1,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f25]) ).
fof(f241,plain,
( e2 != op(e0,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f26]) ).
fof(f242,plain,
( e0 = op(e2,op(e0,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f26]) ).
fof(f243,plain,
( e1 != op(e1,op(e1,e1))
| ~ sP3 ),
inference(cnf_transformation,[],[f27]) ).
fof(f244,plain,
( e1 = op(e1,op(e1,e1))
| ~ sP3 ),
inference(cnf_transformation,[],[f27]) ).
fof(f245,plain,
( e1 != op(e0,op(e0,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f28]) ).
fof(f248,plain,
( e1 = op(e0,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f249,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f30]) ).
fof(f250,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f30]) ).
fof(f251,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f252,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f263,plain,
( e4 = op(e0,op(e4,e0))
| e3 = op(e0,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f271,plain,
( e4 = op(e1,op(e4,e1))
| e3 = op(e1,op(e3,e1))
| e2 = op(e1,op(e2,e1))
| sP3
| sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f272,plain,
( e2 != op(e4,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f273,plain,
( e2 != op(e4,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f274,plain,
( e2 != op(e4,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f275,plain,
( e2 != op(e4,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f276,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f277,plain,
( e4 = op(e2,op(e4,e2))
| e2 != op(e3,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f278,plain,
( e4 = op(e2,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f279,plain,
( e4 = op(e2,op(e4,e2))
| e3 = op(e2,op(e3,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f285,plain,
( e4 = op(e3,op(e4,e3))
| e3 != op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f20]) ).
fof(f287,plain,
( e4 = op(e3,op(e4,e3))
| e3 = op(e3,op(e3,e3))
| e2 = op(e3,op(e2,e3))
| sP7
| sP6 ),
inference(cnf_transformation,[],[f20]) ).
fof(f291,plain,
( e4 != op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f20]) ).
fof(f295,plain,
( e4 = op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| sP9
| sP8 ),
inference(cnf_transformation,[],[f20]) ).
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,[],[f53]) ).
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,[],[f52]) ).
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,[],[f48]) ).
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,[],[f46]) ).
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,[],[f45]) ).
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,[],[f39]) ).
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,[],[f37]) ).
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,[],[f36]) ).
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,[],[f34]) ).
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,[],[f33]) ).
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,[],[f32]) ).
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,[],[f116]) ).
cnf(c_87,plain,
( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(cnf_transformation,[],[f114]) ).
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,[],[f106]) ).
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,[],[f102]) ).
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,[],[f98]) ).
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,[],[f97]) ).
cnf(c_105,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 ),
inference(cnf_transformation,[],[f96]) ).
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,[],[f92]) ).
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,[],[f90]) ).
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,[],[f89]) ).
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,[],[f84]) ).
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,[],[f82]) ).
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,[],[f80]) ).
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,[],[f79]) ).
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,[],[f76]) ).
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,[],[f73]) ).
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,[],[f72]) ).
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,[],[f71]) ).
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,[],[f67]) ).
cnf(c_135,plain,
op(e4,e4) != op(e4,e3),
inference(cnf_transformation,[],[f216]) ).
cnf(c_136,plain,
op(e4,e4) != op(e4,e2),
inference(cnf_transformation,[],[f215]) ).
cnf(c_138,plain,
op(e4,e4) != op(e4,e1),
inference(cnf_transformation,[],[f213]) ).
cnf(c_140,plain,
op(e4,e2) != op(e4,e1),
inference(cnf_transformation,[],[f211]) ).
cnf(c_141,plain,
op(e4,e4) != op(e4,e0),
inference(cnf_transformation,[],[f210]) ).
cnf(c_147,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f204]) ).
cnf(c_149,plain,
op(e3,e3) != op(e3,e1),
inference(cnf_transformation,[],[f202]) ).
cnf(c_150,plain,
op(e3,e2) != op(e3,e1),
inference(cnf_transformation,[],[f201]) ).
cnf(c_151,plain,
op(e3,e4) != op(e3,e0),
inference(cnf_transformation,[],[f200]) ).
cnf(c_152,plain,
op(e3,e3) != op(e3,e0),
inference(cnf_transformation,[],[f199]) ).
cnf(c_153,plain,
op(e3,e2) != op(e3,e0),
inference(cnf_transformation,[],[f198]) ).
cnf(c_155,plain,
op(e2,e4) != op(e2,e3),
inference(cnf_transformation,[],[f196]) ).
cnf(c_156,plain,
op(e2,e4) != op(e2,e2),
inference(cnf_transformation,[],[f195]) ).
cnf(c_160,plain,
op(e2,e2) != op(e2,e1),
inference(cnf_transformation,[],[f191]) ).
cnf(c_161,plain,
op(e2,e4) != op(e2,e0),
inference(cnf_transformation,[],[f190]) ).
cnf(c_164,plain,
op(e2,e1) != op(e2,e0),
inference(cnf_transformation,[],[f187]) ).
cnf(c_167,plain,
op(e1,e3) != op(e1,e2),
inference(cnf_transformation,[],[f184]) ).
cnf(c_168,plain,
op(e1,e4) != op(e1,e1),
inference(cnf_transformation,[],[f183]) ).
cnf(c_169,plain,
op(e1,e3) != op(e1,e1),
inference(cnf_transformation,[],[f182]) ).
cnf(c_173,plain,
op(e1,e2) != op(e1,e0),
inference(cnf_transformation,[],[f178]) ).
cnf(c_174,plain,
op(e1,e1) != op(e1,e0),
inference(cnf_transformation,[],[f177]) ).
cnf(c_176,plain,
op(e0,e4) != op(e0,e2),
inference(cnf_transformation,[],[f175]) ).
cnf(c_177,plain,
op(e0,e3) != op(e0,e2),
inference(cnf_transformation,[],[f174]) ).
cnf(c_179,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f172]) ).
cnf(c_180,plain,
op(e0,e2) != op(e0,e1),
inference(cnf_transformation,[],[f171]) ).
cnf(c_182,plain,
op(e0,e3) != op(e0,e0),
inference(cnf_transformation,[],[f169]) ).
cnf(c_183,plain,
op(e0,e2) != op(e0,e0),
inference(cnf_transformation,[],[f168]) ).
cnf(c_184,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f167]) ).
cnf(c_186,plain,
op(e4,e4) != op(e2,e4),
inference(cnf_transformation,[],[f165]) ).
cnf(c_187,plain,
op(e3,e4) != op(e2,e4),
inference(cnf_transformation,[],[f164]) ).
cnf(c_191,plain,
op(e4,e4) != op(e0,e4),
inference(cnf_transformation,[],[f160]) ).
cnf(c_193,plain,
op(e2,e4) != op(e0,e4),
inference(cnf_transformation,[],[f158]) ).
cnf(c_199,plain,
op(e3,e3) != op(e1,e3),
inference(cnf_transformation,[],[f152]) ).
cnf(c_200,plain,
op(e2,e3) != op(e1,e3),
inference(cnf_transformation,[],[f151]) ).
cnf(c_201,plain,
op(e4,e3) != op(e0,e3),
inference(cnf_transformation,[],[f150]) ).
cnf(c_202,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f149]) ).
cnf(c_204,plain,
op(e1,e3) != op(e0,e3),
inference(cnf_transformation,[],[f147]) ).
cnf(c_205,plain,
op(e4,e2) != op(e3,e2),
inference(cnf_transformation,[],[f146]) ).
cnf(c_206,plain,
op(e4,e2) != op(e2,e2),
inference(cnf_transformation,[],[f145]) ).
cnf(c_207,plain,
op(e3,e2) != op(e2,e2),
inference(cnf_transformation,[],[f144]) ).
cnf(c_208,plain,
op(e4,e2) != op(e1,e2),
inference(cnf_transformation,[],[f143]) ).
cnf(c_209,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f142]) ).
cnf(c_212,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f139]) ).
cnf(c_213,plain,
op(e2,e2) != op(e0,e2),
inference(cnf_transformation,[],[f138]) ).
cnf(c_214,plain,
op(e1,e2) != op(e0,e2),
inference(cnf_transformation,[],[f137]) ).
cnf(c_215,plain,
op(e4,e1) != op(e3,e1),
inference(cnf_transformation,[],[f136]) ).
cnf(c_218,plain,
op(e4,e1) != op(e1,e1),
inference(cnf_transformation,[],[f133]) ).
cnf(c_220,plain,
op(e2,e1) != op(e1,e1),
inference(cnf_transformation,[],[f131]) ).
cnf(c_221,plain,
op(e4,e1) != op(e0,e1),
inference(cnf_transformation,[],[f130]) ).
cnf(c_224,plain,
op(e1,e1) != op(e0,e1),
inference(cnf_transformation,[],[f127]) ).
cnf(c_229,plain,
op(e3,e0) != op(e1,e0),
inference(cnf_transformation,[],[f122]) ).
cnf(c_230,plain,
op(e2,e0) != op(e1,e0),
inference(cnf_transformation,[],[f121]) ).
cnf(c_232,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f119]) ).
cnf(c_233,plain,
op(e2,e0) != op(e0,e0),
inference(cnf_transformation,[],[f118]) ).
cnf(c_235,plain,
e4 != e3,
inference(cnf_transformation,[],[f226]) ).
cnf(c_236,plain,
e4 != e2,
inference(cnf_transformation,[],[f225]) ).
cnf(c_237,plain,
e3 != e2,
inference(cnf_transformation,[],[f224]) ).
cnf(c_238,plain,
e4 != e1,
inference(cnf_transformation,[],[f223]) ).
cnf(c_239,plain,
e3 != e1,
inference(cnf_transformation,[],[f222]) ).
cnf(c_240,plain,
e2 != e1,
inference(cnf_transformation,[],[f221]) ).
cnf(c_241,plain,
e4 != e0,
inference(cnf_transformation,[],[f220]) ).
cnf(c_242,plain,
e3 != e0,
inference(cnf_transformation,[],[f219]) ).
cnf(c_243,plain,
e2 != e0,
inference(cnf_transformation,[],[f218]) ).
cnf(c_244,plain,
e1 != e0,
inference(cnf_transformation,[],[f217]) ).
cnf(c_245,plain,
op(e1,e1) = e4,
inference(cnf_transformation,[],[f230]) ).
cnf(c_246,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
inference(cnf_transformation,[],[f229]) ).
cnf(c_247,plain,
op(op(e1,e1),op(e1,e1)) = e2,
inference(cnf_transformation,[],[f228]) ).
cnf(c_248,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
inference(cnf_transformation,[],[f227]) ).
cnf(c_250,plain,
( op(e1,op(e1,e4)) != e4
| ~ sP9 ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_252,plain,
( op(e0,op(e0,e4)) != e4
| ~ sP8 ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_253,plain,
( ~ sP7
| op(e3,op(e1,e3)) = e1 ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_256,plain,
( op(e0,op(e0,e3)) != e3
| ~ sP6 ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_257,plain,
( ~ sP5
| op(e2,op(e1,e2)) = e1 ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_258,plain,
( op(e1,op(e1,e2)) != e2
| ~ sP5 ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_259,plain,
( ~ sP4
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_260,plain,
( op(e0,op(e0,e2)) != e2
| ~ sP4 ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_261,plain,
( ~ sP3
| op(e1,op(e1,e1)) = e1 ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_262,plain,
( op(e1,op(e1,e1)) != e1
| ~ sP3 ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_264,plain,
( op(e0,op(e0,e1)) != e1
| ~ sP2 ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_265,plain,
( ~ sP1
| op(e0,op(e1,e0)) = e1 ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_267,plain,
( ~ sP0
| op(e0,op(e0,e0)) = e0 ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_268,plain,
( op(e0,op(e0,e0)) != e0
| ~ sP0 ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_269,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,[],[f295]) ).
cnf(c_273,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,[],[f291]) ).
cnf(c_277,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,[],[f287]) ).
cnf(c_279,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,[],[f285]) ).
cnf(c_285,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,[],[f279]) ).
cnf(c_286,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,[],[f278]) ).
cnf(c_287,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,[],[f277]) ).
cnf(c_288,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,[],[f276]) ).
cnf(c_289,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,[],[f275]) ).
cnf(c_290,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,[],[f274]) ).
cnf(c_291,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,[],[f273]) ).
cnf(c_292,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,[],[f272]) ).
cnf(c_293,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,[],[f271]) ).
cnf(c_301,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,[],[f263]) ).
cnf(c_312,negated_conjecture,
( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f252]) ).
cnf(c_313,negated_conjecture,
( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f251]) ).
cnf(c_314,plain,
~ sP0,
inference(global_subsumption_just,[status(thm)],[c_267,c_267,c_268]) ).
cnf(c_316,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_261,c_261,c_262]) ).
cnf(c_322,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_301,c_301,c_314]) ).
cnf(c_323,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_322]) ).
cnf(c_324,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_293,c_293,c_316]) ).
cnf(c_325,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_324]) ).
cnf(c_326,plain,
( op(e2,op(e3,e2)) = e3
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_285,c_285,c_286]) ).
cnf(c_327,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_326]) ).
cnf(c_328,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_277,c_277,c_279]) ).
cnf(c_330,negated_conjecture,
( op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_269,c_269,c_273]) ).
cnf(c_344,plain,
( op(e2,op(e3,e2)) = e3
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_289,c_289,c_290]) ).
cnf(c_345,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_344]) ).
cnf(c_346,plain,
( op(e2,op(e4,e2)) = e4
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_287,c_287,c_288]) ).
cnf(c_347,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_346]) ).
cnf(c_348,negated_conjecture,
( op(e2,op(e4,e2)) = e4
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_286,c_327]) ).
cnf(c_352,negated_conjecture,
( op(e3,op(e4,e3)) = e4
| op(e3,op(e2,e3)) = e2
| sP7
| sP6 ),
inference(global_subsumption_just,[status(thm)],[c_279,c_328]) ).
cnf(c_356,negated_conjecture,
( op(e4,op(e3,e4)) = e3
| op(e4,op(e2,e4)) = e2
| sP9
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_273,c_330]) ).
cnf(c_374,plain,
( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_291,c_291,c_292]) ).
cnf(c_375,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_374]) ).
cnf(c_376,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e2,op(e3,e2)) = e3
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_290,c_345]) ).
cnf(c_378,negated_conjecture,
( op(e3,op(e3,e2)) != e2
| op(e2,op(e4,e2)) = e4
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_288,c_347]) ).
cnf(c_396,plain,
( op(e3,op(e3,e2)) != e2
| op(e4,op(e4,e2)) != e2
| sP5
| sP4 ),
inference(global_subsumption_just,[status(thm)],[c_292,c_375]) ).
cnf(c_397,negated_conjecture,
( op(e4,op(e4,e2)) != e2
| op(e3,op(e3,e2)) != e2
| sP5
| sP4 ),
inference(renaming,[status(thm)],[c_396]) ).
cnf(c_408,plain,
op(e1,e1) = e4,
inference(global_subsumption_just,[status(thm)],[c_67,c_245]) ).
cnf(c_1720,plain,
op(e0,e1) != e4,
inference(light_normalisation,[status(thm)],[c_224,c_408]) ).
cnf(c_1721,plain,
op(e2,e1) != e4,
inference(light_normalisation,[status(thm)],[c_220,c_408]) ).
cnf(c_1723,plain,
op(e4,e1) != e4,
inference(light_normalisation,[status(thm)],[c_218,c_408]) ).
cnf(c_1724,plain,
op(e1,e0) != e4,
inference(light_normalisation,[status(thm)],[c_174,c_408]) ).
cnf(c_1726,plain,
op(e1,e3) != e4,
inference(light_normalisation,[status(thm)],[c_169,c_408]) ).
cnf(c_1727,plain,
op(e1,e4) != e4,
inference(light_normalisation,[status(thm)],[c_168,c_408]) ).
cnf(c_1758,plain,
op(e4,e4) = e2,
inference(light_normalisation,[status(thm)],[c_247,c_408]) ).
cnf(c_1759,plain,
op(e4,e3) != e2,
inference(demodulation,[status(thm)],[c_135,c_1758]) ).
cnf(c_1760,plain,
op(e4,e2) != e2,
inference(demodulation,[status(thm)],[c_136,c_1758]) ).
cnf(c_1761,plain,
op(e4,e1) != e2,
inference(demodulation,[status(thm)],[c_138,c_1758]) ).
cnf(c_1762,plain,
op(e4,e0) != e2,
inference(demodulation,[status(thm)],[c_141,c_1758]) ).
cnf(c_1764,plain,
op(e2,e4) != e2,
inference(demodulation,[status(thm)],[c_186,c_1758]) ).
cnf(c_1766,plain,
op(e0,e4) != e2,
inference(demodulation,[status(thm)],[c_191,c_1758]) ).
cnf(c_1799,plain,
op(e1,e2) = e0,
inference(light_normalisation,[status(thm)],[c_248,c_408,c_1758]) ).
cnf(c_1800,plain,
( op(e1,e0) != e2
| ~ sP5 ),
inference(demodulation,[status(thm)],[c_258,c_1799]) ).
cnf(c_1801,plain,
( ~ sP5
| op(e2,e0) = e1 ),
inference(demodulation,[status(thm)],[c_257,c_1799]) ).
cnf(c_1803,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm)],[c_167,c_1799]) ).
cnf(c_1805,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm)],[c_173,c_1799]) ).
cnf(c_1806,plain,
op(e4,e2) != e0,
inference(demodulation,[status(thm)],[c_208,c_1799]) ).
cnf(c_1807,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm)],[c_209,c_1799]) ).
cnf(c_1809,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm)],[c_214,c_1799]) ).
cnf(c_1842,plain,
op(e2,e2) = e3,
inference(light_normalisation,[status(thm)],[c_246,c_408,c_1758]) ).
cnf(c_1844,plain,
op(e2,e4) != e3,
inference(demodulation,[status(thm)],[c_156,c_1842]) ).
cnf(c_1846,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm)],[c_160,c_1842]) ).
cnf(c_1848,plain,
op(e4,e2) != e3,
inference(demodulation,[status(thm)],[c_206,c_1842]) ).
cnf(c_1849,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm)],[c_207,c_1842]) ).
cnf(c_1850,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm)],[c_213,c_1842]) ).
cnf(c_2061,plain,
( op(e3,e3) = e0
| op(e0,e0) = e0
| e4 = e0
| e3 = e0
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_313,c_408,c_1758,c_1842]) ).
cnf(c_2062,plain,
( op(e3,e3) = e0
| op(e0,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2061,c_243,c_242,c_241]) ).
cnf(c_2067,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1
| e4 = e1
| e3 = e1
| e2 = e1 ),
inference(light_normalisation,[status(thm)],[c_312,c_408,c_1758,c_1842]) ).
cnf(c_2068,plain,
( op(e3,e3) = e1
| op(e0,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2067,c_240,c_239,c_238]) ).
cnf(c_2073,plain,
( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_134,c_1809]) ).
cnf(c_2111,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_130,c_1766]) ).
cnf(c_2120,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_129,c_1762]) ).
cnf(c_2129,plain,
( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_128,c_1850]) ).
cnf(c_2156,plain,
( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e0,e0) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_125,c_1724]) ).
cnf(c_2175,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e0) = e1
| e4 = e1
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_122,c_408,c_1799]) ).
cnf(c_2176,plain,
( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2175,c_244,c_238]) ).
cnf(c_2183,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e0,e1) = e1
| e4 = e1 ),
inference(light_normalisation,[status(thm)],[c_121,c_408]) ).
cnf(c_2184,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e0,e1) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2183,c_238]) ).
cnf(c_2199,plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| e4 = e2 ),
inference(light_normalisation,[status(thm)],[c_119,c_408]) ).
cnf(c_2200,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2199,c_236,c_1761]) ).
cnf(c_2215,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3
| e4 = e3 ),
inference(light_normalisation,[status(thm)],[c_117,c_408]) ).
cnf(c_2216,plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e0,e1) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2215,c_235,c_1846]) ).
cnf(c_2233,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_112,c_1842]) ).
cnf(c_2234,plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2233,c_239]) ).
cnf(c_2243,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e0,e2) = e1
| e3 = e1
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_111,c_1799,c_1842]) ).
cnf(c_2244,plain,
( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e0,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2243,c_244,c_239]) ).
cnf(c_2259,plain,
( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e0,e2) = e2
| e3 = e2
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_109,c_1799,c_1842]) ).
cnf(c_2260,plain,
( op(e3,e2) = e2
| op(e0,e2) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2259,c_243,c_237,c_1760]) ).
cnf(c_2273,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e0,e2) = e4
| e4 = e3
| e4 = e0 ),
inference(light_normalisation,[status(thm)],[c_105,c_1799,c_1842]) ).
cnf(c_2274,plain,
( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e0,e2) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2273,c_241,c_235]) ).
cnf(c_2281,plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_104,c_1807]) ).
cnf(c_2290,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_1803]) ).
cnf(c_2328,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_99,c_1759]) ).
cnf(c_2364,plain,
( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e0,e3) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_95,c_1726]) ).
cnf(c_2417,plain,
( op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3
| e3 = e2 ),
inference(light_normalisation,[status(thm)],[c_87,c_1758]) ).
cnf(c_2418,plain,
( op(e3,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2417,c_237,c_1844]) ).
cnf(c_2433,plain,
( op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4
| e4 = e2 ),
inference(light_normalisation,[status(thm)],[c_85,c_1758]) ).
cnf(c_2434,plain,
( op(e3,e4) = e4
| op(e2,e4) = e4
| op(e0,e4) = e4 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2433,c_236,c_1727]) ).
cnf(c_2451,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_72,c_1720]) ).
cnf(c_2460,plain,
( op(e0,e2) = e4
| op(e0,e2) = e2
| op(e0,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_71,c_1809,c_1850]) ).
cnf(c_2486,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_68,c_1805,c_1724]) ).
cnf(c_2493,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_65,c_1803,c_1726]) ).
cnf(c_2530,plain,
( op(e2,e4) = e4
| op(e2,e4) = e1
| op(e2,e4) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_59,c_1764,c_1844]) ).
cnf(c_2556,plain,
( op(e3,e2) = e4
| op(e3,e2) = e2
| op(e3,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_56,c_1807,c_1849]) ).
cnf(c_2591,plain,
( op(e4,e1) = e3
| op(e4,e1) = e1
| op(e4,e1) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_52,c_1761,c_1723]) ).
cnf(c_2598,plain,
( op(e4,e2) = e4
| op(e4,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_51,c_1806,c_1760,c_1848]) ).
cnf(c_7116,plain,
op(e4,e1) = sP0_iProver_def,
definition ).
cnf(c_7118,plain,
op(e3,e1) = sP2_iProver_def,
definition ).
cnf(c_7120,plain,
op(e2,e1) = sP4_iProver_def,
definition ).
cnf(c_7122,plain,
op(e4,e0) = sP6_iProver_def,
definition ).
cnf(c_7124,plain,
op(e3,e0) = sP8_iProver_def,
definition ).
cnf(c_7126,plain,
op(e2,e0) = sP10_iProver_def,
definition ).
cnf(c_7128,plain,
op(e3,e4) = sP12_iProver_def,
definition ).
cnf(c_7130,plain,
op(e2,e4) = sP14_iProver_def,
definition ).
cnf(c_7132,plain,
op(e4,e3) = sP16_iProver_def,
definition ).
cnf(c_7134,plain,
op(e2,e3) = sP18_iProver_def,
definition ).
cnf(c_7136,plain,
op(e4,e2) = sP20_iProver_def,
definition ).
cnf(c_7137,plain,
op(e4,sP20_iProver_def) = sP21_iProver_def,
definition ).
cnf(c_7138,plain,
op(e3,e2) = sP22_iProver_def,
definition ).
cnf(c_7139,plain,
op(e3,sP22_iProver_def) = sP23_iProver_def,
definition ).
cnf(c_7140,plain,
op(e1,sP0_iProver_def) = sP24_iProver_def,
definition ).
cnf(c_7141,plain,
op(e1,sP2_iProver_def) = sP25_iProver_def,
definition ).
cnf(c_7142,plain,
op(e1,sP4_iProver_def) = sP26_iProver_def,
definition ).
cnf(c_7143,plain,
op(e0,sP6_iProver_def) = sP27_iProver_def,
definition ).
cnf(c_7144,plain,
op(e0,sP8_iProver_def) = sP28_iProver_def,
definition ).
cnf(c_7145,plain,
op(e0,sP10_iProver_def) = sP29_iProver_def,
definition ).
cnf(c_7146,plain,
op(e4,sP12_iProver_def) = sP30_iProver_def,
definition ).
cnf(c_7147,plain,
op(e4,sP14_iProver_def) = sP31_iProver_def,
definition ).
cnf(c_7148,plain,
op(e3,sP16_iProver_def) = sP32_iProver_def,
definition ).
cnf(c_7149,plain,
op(e3,sP18_iProver_def) = sP33_iProver_def,
definition ).
cnf(c_7150,plain,
op(e2,sP20_iProver_def) = sP34_iProver_def,
definition ).
cnf(c_7151,plain,
op(e2,sP22_iProver_def) = sP35_iProver_def,
definition ).
cnf(c_7156,negated_conjecture,
( sP21_iProver_def != e2
| sP23_iProver_def != e2
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_397,c_7138,c_7139,c_7136,c_7137]) ).
cnf(c_7167,negated_conjecture,
( sP23_iProver_def != e2
| sP34_iProver_def = e4
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_378,c_7150]) ).
cnf(c_7168,negated_conjecture,
( sP21_iProver_def != e2
| sP35_iProver_def = e3
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_376,c_7151]) ).
cnf(c_7175,negated_conjecture,
( sP30_iProver_def = e3
| sP31_iProver_def = e2
| sP9
| sP8 ),
inference(demodulation,[status(thm)],[c_356]) ).
cnf(c_7176,negated_conjecture,
( sP32_iProver_def = e4
| sP33_iProver_def = e2
| sP7
| sP6 ),
inference(demodulation,[status(thm)],[c_352]) ).
cnf(c_7177,negated_conjecture,
( sP34_iProver_def = e4
| sP35_iProver_def = e3
| sP5
| sP4 ),
inference(demodulation,[status(thm)],[c_348]) ).
cnf(c_7178,negated_conjecture,
( sP24_iProver_def = e4
| sP25_iProver_def = e3
| sP26_iProver_def = e2
| sP2 ),
inference(demodulation,[status(thm)],[c_325]) ).
cnf(c_7179,negated_conjecture,
( sP27_iProver_def = e4
| sP28_iProver_def = e3
| sP29_iProver_def = e2
| sP1 ),
inference(demodulation,[status(thm)],[c_323]) ).
cnf(c_8407,plain,
e4 != sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_1721,c_7120]) ).
cnf(c_8513,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0
| e1 = e0 ),
inference(superposition,[status(thm)],[c_2062,c_2068]) ).
cnf(c_8515,plain,
( op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_8513,c_244]) ).
cnf(c_8523,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_8515,c_8407,c_7179,c_7178,c_7177,c_7176,c_7175,c_7168,c_7167,c_7156,c_7151,c_7150,c_7149,c_7148,c_7147,c_7146,c_7145,c_7144,c_7143,c_7142,c_7141,c_7140,c_7139,c_7138,c_7137,c_7136,c_7134,c_7132,c_7130,c_7128,c_7126,c_7124,c_7122,c_7120,c_7118,c_7116,c_2598,c_2591,c_2556,c_2530,c_2493,c_2486,c_2460,c_2451,c_2434,c_2418,c_2364,c_2328,c_2290,c_2281,c_2274,c_2260,c_2244,c_2234,c_2216,c_2200,c_2184,c_2176,c_2156,c_2129,c_2120,c_2111,c_2073,c_2068,c_2062,c_1846,c_1844,c_1801,c_1800,c_1799,c_1758,c_1726,c_265,c_264,c_260,c_259,c_256,c_253,c_252,c_250,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_230,c_229,c_221,c_215,c_212,c_205,c_204,c_202,c_201,c_200,c_199,c_193,c_187,c_184,c_183,c_182,c_180,c_179,c_177,c_176,c_164,c_161,c_155,c_153,c_152,c_151,c_150,c_149,c_147,c_140,c_70,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG061+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 22:47:14 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 0.47/1.17 % SZS status Started for theBenchmark.p
% 0.47/1.17 % SZS status Theorem for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.17
% 0.47/1.17 ------ iProver source info
% 0.47/1.17
% 0.47/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.17 git: non_committed_changes: false
% 0.47/1.17
% 0.47/1.17 ------ Parsing...
% 0.47/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... sup_sim: 107 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.17 ------ Proving...
% 0.47/1.17 ------ Problem Properties
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 clauses 268
% 0.47/1.17 conjectures 28
% 0.47/1.17 EPR 39
% 0.47/1.17 Horn 176
% 0.47/1.17 unary 158
% 0.47/1.17 binary 22
% 0.47/1.17 lits 542
% 0.47/1.17 lits eq 486
% 0.47/1.17 fd_pure 0
% 0.47/1.17 fd_pseudo 0
% 0.47/1.17 fd_cond 0
% 0.47/1.17 fd_pseudo_cond 0
% 0.47/1.17 AC symbols 0
% 0.47/1.17
% 0.47/1.17 ------ Schedule dynamic 5 is on
% 0.47/1.17
% 0.47/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------
% 0.47/1.17 Current options:
% 0.47/1.17 ------
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Proving...
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 % SZS status Theorem for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17
% 0.47/1.17
%------------------------------------------------------------------------------