%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG092+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.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 : Wed Aug 30 16:27:48 EDT 2023
% Result : Theorem 3.30s 0.99s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
( ( 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) != e4 )
| ( 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) != e3 )
| ( 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) != e2 )
| ( 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) != e1 )
| ( 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) != e0 )
| ( 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) != e4 )
| ( 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) != e3 )
| ( 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) != e2 )
| ( 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) != e1 )
| ( 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) != e0 )
| ( 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) != e4 )
| ( 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) != e3 )
| ( 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) != e2 )
| ( 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) != e1 )
| ( 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) != e0 )
| ( 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) != e4 )
| ( 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) != e3 )
| ( 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) != e2 )
| ( 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) != e1 )
| ( 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) != e0 )
| ( op(e4,e0) != e4
& op(e3,e0) != e4
& op(e2,e0) != e4
& op(e1,e0) != e4
& op(e0,e0) != e4 )
| ( op(e0,e4) != e4
& op(e0,e3) != e4
& op(e0,e2) != e4
& op(e0,e1) != e4
& op(e0,e0) != e4 )
| ( op(e4,e0) != e3
& op(e3,e0) != e3
& op(e2,e0) != e3
& op(e1,e0) != e3
& op(e0,e0) != e3 )
| ( op(e0,e4) != e3
& op(e0,e3) != e3
& op(e0,e2) != e3
& op(e0,e1) != e3
& op(e0,e0) != e3 )
| ( op(e4,e0) != e2
& op(e3,e0) != e2
& op(e2,e0) != e2
& op(e1,e0) != e2
& op(e0,e0) != e2 )
| ( op(e0,e4) != e2
& op(e0,e3) != e2
& op(e0,e2) != e2
& op(e0,e1) != e2
& op(e0,e0) != e2 )
| ( op(e4,e0) != e1
& op(e3,e0) != e1
& op(e2,e0) != e1
& op(e1,e0) != e1
& op(e0,e0) != e1 )
| ( op(e0,e4) != e1
& op(e0,e3) != e1
& op(e0,e2) != e1
& op(e0,e1) != e1
& op(e0,e0) != e1 )
| ( 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) != e0 )
| ( unit != e4
& unit != e3
& unit != e2
& unit != e1
& unit != e0 )
| op(e4,unit) != e4
| op(unit,e4) != e4
| op(e3,unit) != e3
| op(unit,e3) != e3
| op(e2,unit) != e2
| op(unit,e2) != e2
| op(e1,unit) != e1
| op(unit,e1) != e1
| op(e0,unit) != e0
| op(unit,e0) != e0
| ( op(e4,e4) != e4
& op(e4,e4) != e3
& op(e4,e4) != e2
& op(e4,e4) != e1
& op(e4,e4) != e0 )
| ( op(e4,e3) != e4
& op(e4,e3) != e3
& op(e4,e3) != e2
& op(e4,e3) != e1
& op(e4,e3) != e0 )
| ( op(e4,e2) != e4
& op(e4,e2) != e3
& op(e4,e2) != e2
& op(e4,e2) != e1
& op(e4,e2) != e0 )
| ( op(e4,e1) != e4
& op(e4,e1) != e3
& op(e4,e1) != e2
& op(e4,e1) != e1
& op(e4,e1) != e0 )
| ( op(e4,e0) != e4
& op(e4,e0) != e3
& op(e4,e0) != e2
& op(e4,e0) != e1
& op(e4,e0) != e0 )
| ( op(e3,e4) != e4
& op(e3,e4) != e3
& op(e3,e4) != e2
& op(e3,e4) != e1
& op(e3,e4) != e0 )
| ( op(e3,e3) != e4
& op(e3,e3) != e3
& op(e3,e3) != e2
& op(e3,e3) != e1
& op(e3,e3) != e0 )
| ( op(e3,e2) != e4
& op(e3,e2) != e3
& op(e3,e2) != e2
& op(e3,e2) != e1
& op(e3,e2) != e0 )
| ( op(e3,e1) != e4
& op(e3,e1) != e3
& op(e3,e1) != e2
& op(e3,e1) != e1
& op(e3,e1) != e0 )
| ( op(e3,e0) != e4
& op(e3,e0) != e3
& op(e3,e0) != e2
& op(e3,e0) != e1
& op(e3,e0) != e0 )
| ( op(e2,e4) != e4
& op(e2,e4) != e3
& op(e2,e4) != e2
& op(e2,e4) != e1
& op(e2,e4) != e0 )
| ( op(e2,e3) != e4
& op(e2,e3) != e3
& op(e2,e3) != e2
& op(e2,e3) != e1
& op(e2,e3) != e0 )
| ( op(e2,e2) != e4
& op(e2,e2) != e3
& op(e2,e2) != e2
& op(e2,e2) != e1
& op(e2,e2) != e0 )
| ( op(e2,e1) != e4
& op(e2,e1) != e3
& op(e2,e1) != e2
& op(e2,e1) != e1
& op(e2,e1) != e0 )
| ( op(e2,e0) != e4
& op(e2,e0) != e3
& op(e2,e0) != e2
& op(e2,e0) != e1
& op(e2,e0) != e0 )
| ( op(e1,e4) != e4
& op(e1,e4) != e3
& op(e1,e4) != e2
& op(e1,e4) != e1
& op(e1,e4) != e0 )
| ( op(e1,e3) != e4
& op(e1,e3) != e3
& op(e1,e3) != e2
& op(e1,e3) != e1
& op(e1,e3) != e0 )
| ( op(e1,e2) != e4
& op(e1,e2) != e3
& op(e1,e2) != e2
& op(e1,e2) != e1
& op(e1,e2) != e0 )
| ( op(e1,e1) != e4
& op(e1,e1) != e3
& op(e1,e1) != e2
& op(e1,e1) != e1
& op(e1,e1) != e0 )
| ( op(e1,e0) != e4
& op(e1,e0) != e3
& op(e1,e0) != e2
& op(e1,e0) != e1
& op(e1,e0) != e0 )
| ( op(e0,e4) != e4
& op(e0,e4) != e3
& op(e0,e4) != e2
& op(e0,e4) != e1
& op(e0,e4) != e0 )
| ( op(e0,e3) != e4
& op(e0,e3) != e3
& op(e0,e3) != e2
& op(e0,e3) != e1
& op(e0,e3) != e0 )
| ( op(e0,e2) != e4
& op(e0,e2) != e3
& op(e0,e2) != e2
& op(e0,e2) != e1
& op(e0,e2) != e0 )
| ( op(e0,e1) != e4
& op(e0,e1) != e3
& op(e0,e1) != e2
& op(e0,e1) != e1
& op(e0,e1) != e0 )
| ( op(e0,e0) != e4
& op(e0,e0) != e3
& op(e0,e0) != e2
& op(e0,e0) != e1
& op(e0,e0) != e0 )
| ( ( op(e4,op(e4,e4)) != e4
| op(e4,op(e4,e4)) = e4 )
& ( op(e4,op(e3,e4)) != e3
| op(e3,op(e3,e4)) = e4 )
& ( op(e4,op(e2,e4)) != e2
| op(e2,op(e2,e4)) = e4 )
& ( op(e4,op(e1,e4)) != e1
| op(e1,op(e1,e4)) = e4 )
& ( op(e4,op(e0,e4)) != e0
| op(e0,op(e0,e4)) = e4 ) )
| ( ( op(e3,op(e4,e3)) != e4
| op(e4,op(e4,e3)) = e3 )
& ( op(e3,op(e3,e3)) != e3
| op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e2,e3)) != e2
| op(e2,op(e2,e3)) = e3 )
& ( op(e3,op(e1,e3)) != e1
| op(e1,op(e1,e3)) = e3 )
& ( op(e3,op(e0,e3)) != e0
| op(e0,op(e0,e3)) = e3 ) )
| ( ( op(e2,op(e4,e2)) != e4
| op(e4,op(e4,e2)) = e2 )
& ( op(e2,op(e3,e2)) != e3
| op(e3,op(e3,e2)) = e2 )
& ( op(e2,op(e2,e2)) != e2
| op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2 )
& ( op(e2,op(e0,e2)) != e0
| op(e0,op(e0,e2)) = e2 ) )
| ( ( op(e1,op(e4,e1)) != e4
| op(e4,op(e4,e1)) = e1 )
& ( op(e1,op(e3,e1)) != e3
| op(e3,op(e3,e1)) = e1 )
& ( op(e1,op(e2,e1)) != e2
| op(e2,op(e2,e1)) = e1 )
& ( op(e1,op(e1,e1)) != e1
| op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e0,e1)) != e0
| op(e0,op(e0,e1)) = e1 ) )
| ( ( op(e0,op(e4,e0)) != e4
| op(e4,op(e4,e0)) = e0 )
& ( op(e0,op(e3,e0)) != e3
| op(e3,op(e3,e0)) = e0 )
& ( op(e0,op(e2,e0)) != e2
| op(e2,op(e2,e0)) = e0 )
& ( op(e0,op(e1,e0)) != e1
| op(e1,op(e1,e0)) = e0 )
& ( op(e0,op(e0,e0)) != e0
| op(e0,op(e0,e0)) = e0 ) ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
( ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) )
& ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 )
& op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
input ).
fof(ax3,axiom,
unit = e0,
input ).
fof('ax2_$sk',plain,
( op(e4,e4) = e0
& op(e4,e3) = e2
& op(e4,e2) = e1
& op(e4,e1) = e3
& op(e4,e0) = e4
& op(e3,e4) = e1
& op(e3,e3) = e4
& op(e3,e2) = e0
& op(e3,e1) = e2
& op(e3,e0) = e3
& op(e2,e4) = e3
& op(e2,e3) = e1
& op(e2,e2) = e4
& op(e2,e1) = e0
& op(e2,e0) = e2
& op(e1,e4) = e2
& op(e1,e3) = e0
& op(e1,e2) = e3
& op(e1,e1) = e4
& op(e1,e0) = e1
& op(e0,e4) = e4
& op(e0,e3) = e3
& op(e0,e2) = e2
& op(e0,e1) = e1
& op(e0,e0) = e0 ),
inference(negpush_and_skolemize,[],[ax2]) ).
fof(ax2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e1
& op(e0,e2) = e2
& op(e0,e3) = e3
& op(e0,e4) = e4
& op(e1,e0) = e1
& op(e1,e1) = e4
& op(e1,e2) = e3
& op(e1,e3) = e0
& op(e1,e4) = e2
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e4
& op(e2,e3) = e1
& op(e2,e4) = e3
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e0
& op(e3,e3) = e4
& op(e3,e4) = e1
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e2
& op(e4,e4) = e0 ),
input ).
fof('ax1_$sk',plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(negpush_and_skolemize,[],[ax1]) ).
fof(ax1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
input ).
cnf('1',plain,
( op(e2,op(e1,e2)) != e1
| ~ $pr($df22)
| op(e1,op(e1,e2)) = e2
| $pr($df1)
| $pr($df8) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
( op(e0,op(e1,e0)) != e1
| ~ $pr($df8)
| op(e1,op(e1,e0)) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('3',plain,
unit = e0,
inference(cnf_transformation,[],[ax3]) ).
cnf('4',plain,
op(e1,e0) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('5',plain,
op(e1,unit) = e1,
inference(paramodulation,[],['3','4']) ).
cnf('6',plain,
op(e0,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('7',plain,
op(unit,e1) = e1,
inference(paramodulation,[],['3','6']) ).
cnf('8',plain,
op(e1,e1) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('9',plain,
( ~ $pr($df8)
| e4 = unit ),
inference(simplify,[then_simplify],['2','3','3','5','7','3','5','8','3']) ).
cnf('10',plain,
e0 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('11',plain,
unit != e4,
inference(simplify,[],['10','3']) ).
cnf('12',plain,
~ $pr($df8),
inference(paramodulation,[],['9','11']) ).
cnf('13',plain,
op(e1,e2) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('14',plain,
op(e2,e3) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('15',plain,
op(e1,e3) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('16',plain,
( ~ $pr($df22)
| unit = e2
| $pr($df1) ),
inference(simplify,[then_simplify],['1','12','13','14','13','15','3']) ).
cnf('17',plain,
e0 != e2,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('18',plain,
unit != e2,
inference(simplify,[],['17','3']) ).
cnf('19',plain,
( ~ $pr($df22)
| $pr($df1) ),
inference(resolution,[],['16','18']) ).
cnf('20',plain,
( ~ $pr($df23)
| op(e2,op(e0,e2)) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('21',plain,
op(e0,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('22',plain,
op(unit,e2) = e2,
inference(paramodulation,[],['3','21']) ).
cnf('23',plain,
op(e2,e2) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('24',plain,
( ~ $pr($df23)
| e4 = unit ),
inference(simplify,[then_simplify],['20','3','22','23','3']) ).
cnf('25',plain,
~ $pr($df23),
inference(paramodulation,[],['24','11']) ).
cnf('26',plain,
( ~ $pr($df1)
| $pr($df26)
| $pr($df24)
| $pr($df23) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('27',plain,
( op(e1,op(e3,e1)) != e3
| ~ $pr($df1)
| op(e3,op(e3,e1)) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('28',plain,
e0 != e1,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('29',plain,
unit != e1,
inference(paramodulation,[],['3','28']) ).
cnf('30',plain,
op(e3,e1) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('31',plain,
op(e3,e2) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('32',plain,
~ $pr($df1),
inference(simplify,[then_simplify],['27','29','30','13','30','31','3']) ).
cnf('33',plain,
( ~ $pr($df26)
| $pr($df1) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('34',plain,
~ $pr($df26),
inference(resolution,[],['32','33']) ).
cnf('35',plain,
( ~ $pr($df1)
| $pr($df24) ),
inference(resolution,[then_simplify],['25','26','34']) ).
cnf('36',plain,
( op(e2,op(e1,e2)) != e1
| op(e1,op(e1,e2)) = e2
| $pr($df1)
| $pr($df8)
| $pr($df24) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('37',plain,
( unit = e2
| $pr($df1)
| $pr($df24) ),
inference(simplify,[then_simplify],['36','12','13','14','13','15','3']) ).
cnf('38',plain,
( $pr($df1)
| $pr($df24) ),
inference(resolution,[],['37','18']) ).
cnf('39',plain,
$pr($df24),
inference(simplify,[],['35','38']) ).
cnf('40',plain,
( ~ $pr($df1)
| ~ $pr($df24) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('41',plain,
~ $pr($df1),
inference(resolution,[],['39','40']) ).
cnf('42',plain,
~ $pr($df22),
inference(simplify,[],['19','41']) ).
cnf('43',plain,
( op(e4,op(e1,e4)) != e1
| ~ $pr($df32)
| op(e1,op(e1,e4)) = e4
| $pr($df22)
| $pr($df15) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('44',plain,
e3 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('45',plain,
( op(e3,op(e2,e3)) != e2
| ~ $pr($df15)
| op(e2,op(e2,e3)) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('46',plain,
op(e2,e1) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('47',plain,
( ~ $pr($df15)
| unit = e3 ),
inference(simplify,[then_simplify],['45','14','30','14','46','3']) ).
cnf('48',plain,
e0 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('49',plain,
unit != e3,
inference(simplify,[],['48','3']) ).
cnf('50',plain,
~ $pr($df15),
inference(resolution,[],['47','49']) ).
cnf('51',plain,
op(e1,e4) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('52',plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('53',plain,
( ~ $pr($df32)
| $pr($df22) ),
inference(simplify,[then_simplify],['43','44','50','51','52','51','13']) ).
cnf('54',plain,
~ $pr($df32),
inference(resolution,[],['42','53']) ).
cnf('55',plain,
( op(e0,e1) != e1
| ~ $pr($df42)
| $pr($df32)
| $pr($df31) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('56',plain,
( ~ $pr($df42)
| $pr($df32)
| $pr($df31) ),
inference(simplify,[then_simplify],['55','3','7']) ).
cnf('57',plain,
( op(e0,e0) != e0
| ~ $pr($df31) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('58',plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('59',plain,
op(e0,e0) = unit,
inference(paramodulation,[],['3','58']) ).
cnf('60',plain,
op(unit,unit) = unit,
inference(simplify,[then_simplify],['59','3','3']) ).
cnf('61',plain,
~ $pr($df31),
inference(simplify,[then_simplify],['57','3','3','60','3']) ).
cnf('62',plain,
( ~ $pr($df42)
| $pr($df32) ),
inference(resolution,[],['56','61']) ).
cnf('63',plain,
~ $pr($df42),
inference(resolution,[],['54','62']) ).
cnf('64',plain,
( op(e0,e3) != e3
| ~ $pr($df50)
| $pr($df42)
| $pr($df41) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('65',plain,
op(e0,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('66',plain,
op(unit,e3) = e3,
inference(paramodulation,[],['3','65']) ).
cnf('67',plain,
( ~ $pr($df50)
| $pr($df42)
| $pr($df41) ),
inference(simplify,[then_simplify],['64','3','66']) ).
cnf('68',plain,
( op(e0,e2) != e2
| ~ $pr($df41) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('69',plain,
~ $pr($df41),
inference(simplify,[then_simplify],['68','3','22']) ).
cnf('70',plain,
( ~ $pr($df50)
| $pr($df42) ),
inference(resolution,[],['67','69']) ).
cnf('71',plain,
~ $pr($df50),
inference(resolution,[],['63','70']) ).
cnf('72',plain,
( op(e1,e0) != e1
| ~ $pr($df58)
| $pr($df50)
| $pr($df49) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('73',plain,
( ~ $pr($df58)
| $pr($df50)
| $pr($df49) ),
inference(simplify,[then_simplify],['72','3','5']) ).
cnf('74',plain,
( op(e0,e4) != e4
| ~ $pr($df49) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('75',plain,
op(e0,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('76',plain,
op(unit,e4) = e4,
inference(paramodulation,[],['3','75']) ).
cnf('77',plain,
~ $pr($df49),
inference(simplify,[then_simplify],['74','3','76']) ).
cnf('78',plain,
( ~ $pr($df58)
| $pr($df50) ),
inference(resolution,[],['73','77']) ).
cnf('79',plain,
~ $pr($df58),
inference(resolution,[],['71','78']) ).
cnf('80',plain,
( op(e1,e2) != e3
| ~ $pr($df66)
| $pr($df58)
| $pr($df57) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('81',plain,
( ~ $pr($df66)
| $pr($df58)
| $pr($df57) ),
inference(simplify,[],['80','13']) ).
cnf('82',plain,
( op(e1,e1) != e4
| ~ $pr($df57) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('83',plain,
~ $pr($df57),
inference(simplify,[],['82','8']) ).
cnf('84',plain,
( ~ $pr($df66)
| $pr($df58) ),
inference(resolution,[],['81','83']) ).
cnf('85',plain,
~ $pr($df66),
inference(resolution,[],['79','84']) ).
cnf('86',plain,
( op(e1,e4) != e2
| ~ $pr($df74)
| $pr($df66)
| $pr($df65) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('87',plain,
( ~ $pr($df74)
| $pr($df66)
| $pr($df65) ),
inference(simplify,[],['86','51']) ).
cnf('88',plain,
( op(e1,e3) != e0
| ~ $pr($df65) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('89',plain,
~ $pr($df65),
inference(simplify,[then_simplify],['88','15','3','3']) ).
cnf('90',plain,
( ~ $pr($df74)
| $pr($df66) ),
inference(resolution,[],['87','89']) ).
cnf('91',plain,
~ $pr($df74),
inference(resolution,[],['85','90']) ).
cnf('92',plain,
( op(e2,e1) != e0
| ~ $pr($df82)
| $pr($df74)
| $pr($df73) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('93',plain,
( ~ $pr($df82)
| $pr($df74)
| $pr($df73) ),
inference(simplify,[then_simplify],['92','46','3','3']) ).
cnf('94',plain,
( op(e2,e0) != e2
| ~ $pr($df73) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('95',plain,
op(e2,e0) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('96',plain,
op(e2,unit) = e2,
inference(paramodulation,[],['3','95']) ).
cnf('97',plain,
~ $pr($df73),
inference(simplify,[then_simplify],['94','3','96']) ).
cnf('98',plain,
( ~ $pr($df82)
| $pr($df74) ),
inference(resolution,[],['93','97']) ).
cnf('99',plain,
~ $pr($df82),
inference(resolution,[],['91','98']) ).
cnf('100',plain,
( op(e2,e3) != e1
| ~ $pr($df90)
| $pr($df82)
| $pr($df81) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('101',plain,
( ~ $pr($df90)
| $pr($df82)
| $pr($df81) ),
inference(simplify,[],['100','14']) ).
cnf('102',plain,
( op(e2,e2) != e4
| ~ $pr($df81) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('103',plain,
~ $pr($df81),
inference(simplify,[],['102','23']) ).
cnf('104',plain,
( ~ $pr($df90)
| $pr($df82) ),
inference(resolution,[],['101','103']) ).
cnf('105',plain,
~ $pr($df90),
inference(resolution,[],['99','104']) ).
cnf('106',plain,
( op(e3,e0) != e3
| ~ $pr($df98)
| $pr($df90)
| $pr($df89) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('107',plain,
op(e3,e0) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('108',plain,
op(e3,unit) = e3,
inference(paramodulation,[],['3','107']) ).
cnf('109',plain,
( ~ $pr($df98)
| $pr($df90)
| $pr($df89) ),
inference(simplify,[then_simplify],['106','3','108']) ).
cnf('110',plain,
( op(e2,e4) != e3
| ~ $pr($df89) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('111',plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('112',plain,
~ $pr($df89),
inference(simplify,[],['110','111']) ).
cnf('113',plain,
( ~ $pr($df98)
| $pr($df90) ),
inference(resolution,[],['109','112']) ).
cnf('114',plain,
~ $pr($df98),
inference(resolution,[],['105','113']) ).
cnf('115',plain,
( op(e3,e2) != e0
| ~ $pr($df106)
| $pr($df98)
| $pr($df97) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('116',plain,
( ~ $pr($df106)
| $pr($df98)
| $pr($df97) ),
inference(simplify,[then_simplify],['115','31','3','3']) ).
cnf('117',plain,
( op(e3,e1) != e2
| ~ $pr($df97) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('118',plain,
~ $pr($df97),
inference(simplify,[],['117','30']) ).
cnf('119',plain,
( ~ $pr($df106)
| $pr($df98) ),
inference(resolution,[],['116','118']) ).
cnf('120',plain,
~ $pr($df106),
inference(resolution,[],['114','119']) ).
cnf('121',plain,
( op(e3,e4) != e1
| ~ $pr($df114)
| $pr($df106)
| $pr($df105) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('122',plain,
op(e3,e4) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('123',plain,
( ~ $pr($df114)
| $pr($df106)
| $pr($df105) ),
inference(simplify,[],['121','122']) ).
cnf('124',plain,
( op(e3,e3) != e4
| ~ $pr($df105) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('125',plain,
op(e3,e3) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('126',plain,
~ $pr($df105),
inference(simplify,[],['124','125']) ).
cnf('127',plain,
( ~ $pr($df114)
| $pr($df106) ),
inference(resolution,[],['123','126']) ).
cnf('128',plain,
~ $pr($df114),
inference(resolution,[],['120','127']) ).
cnf('129',plain,
( op(e4,e1) != e3
| ~ $pr($df122)
| $pr($df113)
| $pr($df114) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('130',plain,
op(e4,e1) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('131',plain,
( ~ $pr($df122)
| $pr($df113)
| $pr($df114) ),
inference(simplify,[],['129','130']) ).
cnf('132',plain,
( op(e4,e0) != e4
| ~ $pr($df113) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('133',plain,
op(e4,e0) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('134',plain,
op(e4,unit) = e4,
inference(paramodulation,[],['3','133']) ).
cnf('135',plain,
~ $pr($df113),
inference(simplify,[then_simplify],['132','3','134']) ).
cnf('136',plain,
( ~ $pr($df122)
| $pr($df114) ),
inference(resolution,[],['131','135']) ).
cnf('137',plain,
~ $pr($df122),
inference(resolution,[],['128','136']) ).
cnf('138',plain,
( op(e4,e3) != e2
| ~ $pr($df130)
| $pr($df122)
| $pr($df121) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('139',plain,
op(e4,e3) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('140',plain,
( ~ $pr($df130)
| $pr($df122)
| $pr($df121) ),
inference(simplify,[],['138','139']) ).
cnf('141',plain,
( op(e4,e2) != e1
| ~ $pr($df121) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('142',plain,
~ $pr($df121),
inference(simplify,[],['141','52']) ).
cnf('143',plain,
( ~ $pr($df130)
| $pr($df122) ),
inference(resolution,[],['140','142']) ).
cnf('144',plain,
~ $pr($df130),
inference(resolution,[],['137','143']) ).
cnf('145',plain,
( op(unit,e4) != e4
| op(e4,unit) != e4
| op(unit,e3) != e3
| op(e3,unit) != e3
| op(unit,e2) != e2
| op(e2,unit) != e2
| op(unit,e1) != e1
| op(e1,unit) != e1
| op(unit,e0) != e0
| op(e0,unit) != e0
| unit != e0
| ~ $pr($df138)
| $pr($df130)
| $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('146',plain,
( ~ $pr($df138)
| $pr($df130)
| $pr($df129) ),
inference(simplify,[then_simplify],['145','76','134','66','108','22','96','7','5','3','60','3','3','60','3','3']) ).
cnf('147',plain,
( op(e0,e2) != e2
| ~ $pr($df262)
| $pr($df254)
| $pr($df253) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('148',plain,
( ~ $pr($df262)
| $pr($df254)
| $pr($df253) ),
inference(simplify,[then_simplify],['147','3','22']) ).
cnf('149',plain,
( op(e2,e0) != e2
| ~ $pr($df253) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('150',plain,
~ $pr($df253),
inference(simplify,[then_simplify],['149','3','96']) ).
cnf('151',plain,
( ~ $pr($df262)
| $pr($df254) ),
inference(resolution,[],['148','150']) ).
cnf('152',plain,
( op(e1,e2) != e3
| ~ $pr($df270)
| $pr($df262)
| $pr($df261) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('153',plain,
( ~ $pr($df270)
| $pr($df262)
| $pr($df261) ),
inference(simplify,[],['152','13']) ).
cnf('154',plain,
( op(e2,e4) != e3
| ~ $pr($df261) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('155',plain,
~ $pr($df261),
inference(simplify,[],['154','111']) ).
cnf('156',plain,
( ~ $pr($df270)
| $pr($df262) ),
inference(resolution,[],['153','155']) ).
cnf('157',plain,
( op(e2,e3) != e1
| ~ $pr($df294)
| $pr($df286)
| $pr($df285) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('158',plain,
( ~ $pr($df294)
| $pr($df286)
| $pr($df285) ),
inference(simplify,[],['157','14']) ).
cnf('159',plain,
( op(e3,e4) != e1
| ~ $pr($df285) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('160',plain,
~ $pr($df285),
inference(simplify,[],['159','122']) ).
cnf('161',plain,
( ~ $pr($df294)
| $pr($df286) ),
inference(resolution,[],['158','160']) ).
cnf('162',plain,
( op(e0,e3) != e3
| ~ $pr($df310)
| $pr($df302)
| $pr($df301) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('163',plain,
( ~ $pr($df310)
| $pr($df302)
| $pr($df301) ),
inference(simplify,[then_simplify],['162','3','66']) ).
cnf('164',plain,
( op(e3,e0) != e3
| ~ $pr($df301) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('165',plain,
~ $pr($df301),
inference(simplify,[then_simplify],['164','3','108']) ).
cnf('166',plain,
( ~ $pr($df310)
| $pr($df302) ),
inference(resolution,[],['163','165']) ).
cnf('167',plain,
( op(e3,e4) != e1
| ~ $pr($df334)
| $pr($df326)
| $pr($df325) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('168',plain,
( ~ $pr($df334)
| $pr($df326)
| $pr($df325) ),
inference(simplify,[],['167','122']) ).
cnf('169',plain,
( op(e4,e2) != e1
| ~ $pr($df325) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('170',plain,
~ $pr($df325),
inference(simplify,[],['169','52']) ).
cnf('171',plain,
( ~ $pr($df334)
| $pr($df326) ),
inference(resolution,[],['168','170']) ).
cnf('172',plain,
( op(e1,e4) != e2
| ~ $pr($df342)
| $pr($df334)
| $pr($df333) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('173',plain,
( op(e2,e4) != e3
| ~ $pr($df350)
| $pr($df342)
| $pr($df341) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('174',plain,
( op(e0,e4) != e4
| $pr($df350)
| $pr($df349) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('175',plain,
( $pr($df350)
| $pr($df349) ),
inference(simplify,[then_simplify],['174','3','76']) ).
cnf('176',plain,
( op(e4,e0) != e4
| ~ $pr($df349) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('177',plain,
~ $pr($df349),
inference(simplify,[then_simplify],['176','3','134']) ).
cnf('178',plain,
$pr($df350),
inference(resolution,[],['175','177']) ).
cnf('179',plain,
( $pr($df342)
| $pr($df341) ),
inference(simplify,[then_simplify],['173','178','111']) ).
cnf('180',plain,
( op(e4,e1) != e3
| ~ $pr($df341) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('181',plain,
~ $pr($df341),
inference(simplify,[],['180','130']) ).
cnf('182',plain,
$pr($df342),
inference(resolution,[],['179','181']) ).
cnf('183',plain,
( $pr($df334)
| $pr($df333) ),
inference(simplify,[then_simplify],['172','182','51']) ).
cnf('184',plain,
( op(e4,e3) != e2
| ~ $pr($df333) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('185',plain,
~ $pr($df333),
inference(simplify,[],['184','139']) ).
cnf('186',plain,
$pr($df334),
inference(resolution,[],['183','185']) ).
cnf('187',plain,
$pr($df326),
inference(simplify,[],['171','186']) ).
cnf('188',plain,
( op(e4,e4) != e0
| ~ $pr($df326)
| $pr($df318)
| $pr($df317) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('189',plain,
op(e4,e4) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('190',plain,
( ~ $pr($df326)
| $pr($df318)
| $pr($df317) ),
inference(simplify,[then_simplify],['188','189','3','3']) ).
cnf('191',plain,
( op(e4,e4) != e0
| ~ $pr($df317) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('192',plain,
~ $pr($df317),
inference(simplify,[then_simplify],['191','189','3','3']) ).
cnf('193',plain,
( ~ $pr($df326)
| $pr($df318) ),
inference(resolution,[],['190','192']) ).
cnf('194',plain,
$pr($df318),
inference(resolution,[],['187','193']) ).
cnf('195',plain,
( op(e3,e3) != e4
| ~ $pr($df318)
| $pr($df309)
| $pr($df310) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('196',plain,
( ~ $pr($df318)
| $pr($df309)
| $pr($df310) ),
inference(simplify,[],['195','125']) ).
cnf('197',plain,
( op(e3,e3) != e4
| ~ $pr($df309) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('198',plain,
~ $pr($df309),
inference(simplify,[],['197','125']) ).
cnf('199',plain,
( ~ $pr($df318)
| $pr($df310) ),
inference(resolution,[],['196','198']) ).
cnf('200',plain,
$pr($df310),
inference(resolution,[],['194','199']) ).
cnf('201',plain,
$pr($df302),
inference(simplify,[],['166','200']) ).
cnf('202',plain,
( op(e4,e3) != e2
| ~ $pr($df302)
| $pr($df294)
| $pr($df293) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('203',plain,
( ~ $pr($df302)
| $pr($df294)
| $pr($df293) ),
inference(simplify,[],['202','139']) ).
cnf('204',plain,
( op(e3,e1) != e2
| ~ $pr($df293) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('205',plain,
~ $pr($df293),
inference(simplify,[],['204','30']) ).
cnf('206',plain,
( ~ $pr($df302)
| $pr($df294) ),
inference(resolution,[],['203','205']) ).
cnf('207',plain,
$pr($df294),
inference(resolution,[],['201','206']) ).
cnf('208',plain,
$pr($df286),
inference(simplify,[],['161','207']) ).
cnf('209',plain,
( op(e1,e3) != e0
| ~ $pr($df286)
| $pr($df278)
| $pr($df277) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('210',plain,
( ~ $pr($df286)
| $pr($df278)
| $pr($df277) ),
inference(simplify,[then_simplify],['209','15','3','3']) ).
cnf('211',plain,
( op(e3,e2) != e0
| ~ $pr($df277) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('212',plain,
~ $pr($df277),
inference(simplify,[then_simplify],['211','31','3','3']) ).
cnf('213',plain,
( ~ $pr($df286)
| $pr($df278) ),
inference(resolution,[],['210','212']) ).
cnf('214',plain,
$pr($df278),
inference(resolution,[],['208','213']) ).
cnf('215',plain,
( op(e2,e2) != e4
| ~ $pr($df278)
| $pr($df270)
| $pr($df269) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('216',plain,
( ~ $pr($df278)
| $pr($df270)
| $pr($df269) ),
inference(simplify,[],['215','23']) ).
cnf('217',plain,
( op(e2,e2) != e4
| ~ $pr($df269) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('218',plain,
~ $pr($df269),
inference(simplify,[],['217','23']) ).
cnf('219',plain,
( ~ $pr($df278)
| $pr($df270) ),
inference(resolution,[],['216','218']) ).
cnf('220',plain,
$pr($df270),
inference(resolution,[],['214','219']) ).
cnf('221',plain,
$pr($df262),
inference(simplify,[],['156','220']) ).
cnf('222',plain,
( ~ $pr($df262)
| $pr($df275)
| $pr($df272)
| $pr($df271) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('223',plain,
( ~ $pr($df271)
| op(e0,e2) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('224',plain,
e2 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('225',plain,
~ $pr($df271),
inference(simplify,[then_simplify],['223','224','3','22']) ).
cnf('226',plain,
( ~ $pr($df262)
| $pr($df275)
| $pr($df272) ),
inference(resolution,[],['222','225']) ).
cnf('227',plain,
( ~ $pr($df272)
| ~ $pr($df262) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('228',plain,
( ~ $pr($df262)
| $pr($df275) ),
inference(simplify,[],['226','227']) ).
cnf('229',plain,
$pr($df275),
inference(resolution,[],['221','228']) ).
cnf('230',plain,
( ~ $pr($df275)
| $pr($df262) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('231',plain,
$pr($df262),
inference(resolution,[],['229','230']) ).
cnf('232',plain,
$pr($df254),
inference(simplify,[],['151','231']) ).
cnf('233',plain,
( op(e4,e2) != e1
| ~ $pr($df254)
| $pr($df246)
| $pr($df245) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('234',plain,
( ~ $pr($df254)
| $pr($df246)
| $pr($df245) ),
inference(simplify,[],['233','52']) ).
cnf('235',plain,
( op(e2,e3) != e1
| ~ $pr($df245) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('236',plain,
~ $pr($df245),
inference(simplify,[],['235','14']) ).
cnf('237',plain,
( ~ $pr($df254)
| $pr($df246) ),
inference(resolution,[],['234','236']) ).
cnf('238',plain,
$pr($df246),
inference(resolution,[],['232','237']) ).
cnf('239',plain,
( op(e3,e2) != e0
| ~ $pr($df246)
| $pr($df238)
| $pr($df237) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('240',plain,
( ~ $pr($df246)
| $pr($df238)
| $pr($df237) ),
inference(simplify,[then_simplify],['239','31','3','3']) ).
cnf('241',plain,
( op(e2,e1) != e0
| ~ $pr($df237) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('242',plain,
~ $pr($df237),
inference(simplify,[then_simplify],['241','46','3','3']) ).
cnf('243',plain,
( ~ $pr($df246)
| $pr($df238) ),
inference(resolution,[],['240','242']) ).
cnf('244',plain,
$pr($df238),
inference(resolution,[],['238','243']) ).
cnf('245',plain,
( op(e1,e1) != e4
| ~ $pr($df238)
| $pr($df229)
| $pr($df230) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('246',plain,
( ~ $pr($df238)
| $pr($df229)
| $pr($df230) ),
inference(simplify,[],['245','8']) ).
cnf('247',plain,
( op(e1,e1) != e4
| ~ $pr($df229) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('248',plain,
~ $pr($df229),
inference(simplify,[],['247','8']) ).
cnf('249',plain,
( ~ $pr($df238)
| $pr($df230) ),
inference(resolution,[],['246','248']) ).
cnf('250',plain,
$pr($df230),
inference(resolution,[],['244','249']) ).
cnf('251',plain,
( op(e4,e1) != e3
| ~ $pr($df230)
| $pr($df222)
| $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('252',plain,
( ~ $pr($df230)
| $pr($df222)
| $pr($df221) ),
inference(simplify,[],['251','130']) ).
cnf('253',plain,
( op(e1,e2) != e3
| ~ $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('254',plain,
~ $pr($df221),
inference(simplify,[],['253','13']) ).
cnf('255',plain,
( ~ $pr($df230)
| $pr($df222) ),
inference(resolution,[],['252','254']) ).
cnf('256',plain,
$pr($df222),
inference(resolution,[],['250','255']) ).
cnf('257',plain,
( op(e3,e1) != e2
| ~ $pr($df222)
| $pr($df214)
| $pr($df213) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('258',plain,
( ~ $pr($df222)
| $pr($df214)
| $pr($df213) ),
inference(simplify,[],['257','30']) ).
cnf('259',plain,
( op(e1,e4) != e2
| ~ $pr($df213) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('260',plain,
~ $pr($df213),
inference(simplify,[],['259','51']) ).
cnf('261',plain,
( ~ $pr($df222)
| $pr($df214) ),
inference(resolution,[],['258','260']) ).
cnf('262',plain,
$pr($df214),
inference(resolution,[],['256','261']) ).
cnf('263',plain,
( op(e0,e1) != e1
| ~ $pr($df214)
| $pr($df206)
| $pr($df205) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('264',plain,
( ~ $pr($df214)
| $pr($df206)
| $pr($df205) ),
inference(simplify,[then_simplify],['263','3','7']) ).
cnf('265',plain,
( op(e1,e0) != e1
| ~ $pr($df205) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('266',plain,
~ $pr($df205),
inference(simplify,[then_simplify],['265','3','5']) ).
cnf('267',plain,
( ~ $pr($df214)
| $pr($df206) ),
inference(resolution,[],['264','266']) ).
cnf('268',plain,
$pr($df206),
inference(resolution,[],['262','267']) ).
cnf('269',plain,
( op(e2,e1) != e0
| ~ $pr($df206)
| $pr($df198)
| $pr($df197) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('270',plain,
( ~ $pr($df206)
| $pr($df198)
| $pr($df197) ),
inference(simplify,[then_simplify],['269','46','3','3']) ).
cnf('271',plain,
( op(e1,e3) != e0
| ~ $pr($df197) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('272',plain,
~ $pr($df197),
inference(simplify,[then_simplify],['271','15','3','3']) ).
cnf('273',plain,
( ~ $pr($df206)
| $pr($df198) ),
inference(resolution,[],['270','272']) ).
cnf('274',plain,
$pr($df198),
inference(resolution,[],['268','273']) ).
cnf('275',plain,
( op(e4,e0) != e4
| ~ $pr($df198)
| $pr($df190)
| $pr($df189) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('276',plain,
( ~ $pr($df198)
| $pr($df190)
| $pr($df189) ),
inference(simplify,[then_simplify],['275','3','134']) ).
cnf('277',plain,
( op(e0,e4) != e4
| ~ $pr($df189) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('278',plain,
~ $pr($df189),
inference(simplify,[then_simplify],['277','3','76']) ).
cnf('279',plain,
( ~ $pr($df198)
| $pr($df190) ),
inference(resolution,[],['276','278']) ).
cnf('280',plain,
$pr($df190),
inference(resolution,[],['274','279']) ).
cnf('281',plain,
( op(e3,e0) != e3
| ~ $pr($df190)
| $pr($df182)
| $pr($df181) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('282',plain,
( ~ $pr($df190)
| $pr($df182)
| $pr($df181) ),
inference(simplify,[then_simplify],['281','3','108']) ).
cnf('283',plain,
( op(e0,e3) != e3
| ~ $pr($df181) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('284',plain,
~ $pr($df181),
inference(simplify,[then_simplify],['283','3','66']) ).
cnf('285',plain,
( ~ $pr($df190)
| $pr($df182) ),
inference(resolution,[],['282','284']) ).
cnf('286',plain,
$pr($df182),
inference(resolution,[],['280','285']) ).
cnf('287',plain,
( op(e2,e0) != e2
| ~ $pr($df182)
| $pr($df174)
| $pr($df173) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('288',plain,
( ~ $pr($df182)
| $pr($df174)
| $pr($df173) ),
inference(simplify,[then_simplify],['287','3','96']) ).
cnf('289',plain,
( op(e0,e2) != e2
| ~ $pr($df173) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('290',plain,
~ $pr($df173),
inference(simplify,[then_simplify],['289','3','22']) ).
cnf('291',plain,
( ~ $pr($df182)
| $pr($df174) ),
inference(resolution,[],['288','290']) ).
cnf('292',plain,
$pr($df174),
inference(resolution,[],['286','291']) ).
cnf('293',plain,
( op(e1,e0) != e1
| ~ $pr($df174)
| $pr($df166)
| $pr($df165) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('294',plain,
( ~ $pr($df174)
| $pr($df166)
| $pr($df165) ),
inference(simplify,[then_simplify],['293','3','5']) ).
cnf('295',plain,
( op(e0,e1) != e1
| ~ $pr($df165) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('296',plain,
~ $pr($df165),
inference(simplify,[then_simplify],['295','3','7']) ).
cnf('297',plain,
( ~ $pr($df174)
| $pr($df166) ),
inference(resolution,[],['294','296']) ).
cnf('298',plain,
$pr($df166),
inference(resolution,[],['292','297']) ).
cnf('299',plain,
( op(e0,e0) != e0
| ~ $pr($df166)
| $pr($df138)
| $pr($df137) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('300',plain,
( ~ $pr($df166)
| $pr($df138)
| $pr($df137) ),
inference(simplify,[then_simplify],['299','3','3','60','3']) ).
cnf('301',plain,
( op(e0,e0) != e0
| ~ $pr($df137) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('302',plain,
~ $pr($df137),
inference(simplify,[then_simplify],['301','3','3','60','3']) ).
cnf('303',plain,
( ~ $pr($df166)
| $pr($df138) ),
inference(resolution,[],['300','302']) ).
cnf('304',plain,
$pr($df138),
inference(resolution,[],['298','303']) ).
cnf('305',plain,
$pr($df129),
inference(resolution,[then_simplify],['144','146','304']) ).
cnf('306',plain,
( op(e4,e4) != e0
| ~ $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('307',plain,
~ $pr($df129),
inference(simplify,[then_simplify],['306','189','3','3']) ).
cnf('308',plain,
$false,
inference(resolution,[],['305','307']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG092+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : gkc %s
% 0.14/0.35 % Computer : n008.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 : Mon Aug 28 05:14:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.44
% 0.20/0.44 input clause set summed statistics:
% 0.20/0.44 ----------------------------------
% 0.20/0.44 in_clause_count: 1838
% 0.20/0.44 in_rule_clause_count: 1837
% 0.20/0.44 in_fact_clause_count: 1
% 0.20/0.44 in_answer_clause_count: 0
% 0.20/0.44 in_ground_clause_count: 1838
% 0.20/0.44 in_unit_clause_count: 36
% 0.20/0.44 in_horn_clause_count: 955
% 0.20/0.44 in_pos_clause_count: 136
% 0.20/0.44 in_neg_clause_count: 665
% 0.20/0.44 in_poseq_clause_count: 384
% 0.20/0.44 in_negeq_clause_count: 623
% 0.20/0.44 in_unitposeq_clause_count: 26
% 0.20/0.44 in_chain_clause_count: 0
% 0.20/0.44 in_min_length: 1
% 0.20/0.44 in_max_length: 14
% 0.20/0.44 in_min_depth: 1
% 0.20/0.44 in_max_depth: 3
% 0.20/0.44 in_min_size: 3
% 0.20/0.44 in_max_size: 59
% 0.20/0.44 in_min_vars: 0
% 0.20/0.44 in_max_vars: 0
% 0.20/0.44 in_extaxiom_count: 0
% 0.20/0.44 in_axiom_count: 36
% 0.20/0.44 in_assumption_count: 0
% 0.20/0.44 in_goal_count: 1802
% 0.20/0.44 in_neg_goal_count: 655
% 0.20/0.44 in_pos_goal_count: 110
% 0.20/0.44 in_posunit_goal_count: 0
% 0.20/0.44
% 0.20/0.44 auto guide:
% 0.20/0.44 -----------
% 0.20/0.44 {
% 0.20/0.44 "print":1,
% 0.20/0.44 "print_level": 15,
% 0.20/0.44 "max_size": 0,
% 0.20/0.44 "max_depth": 0,
% 0.20/0.44 "max_length": 0,
% 0.20/0.44 "max_dseconds": 0,
% 0.20/0.44 "runs":[
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.44 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.44 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.44 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
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% 0.20/0.74
% 0.20/0.74 **** run 20 fork 3 starts with strategy
% 0.20/0.74 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.75
% 0.20/0.75 **** run 21 fork 4 starts with strategy
% 0.20/0.75 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.20/0.75
% 0.20/0.75 fork 1: search finished without proof.
% 0.20/0.76
% 0.20/0.76 fork 7: search finished without proof.
% 0.20/0.77
% 0.20/0.77 **** run 18 fork 1 starts with strategy
% 0.20/0.77 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.78
% 0.20/0.78 fork 6: search finished without proof.
% 2.02/0.79
% 2.02/0.79 **** run 24 fork 7 starts with strategy
% 2.02/0.79 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.02/0.80
% 2.02/0.80 **** run 31 fork 6 starts with strategy
% 2.02/0.80 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.02/0.81
% 2.02/0.81 fork 0: search finished without proof.
% 2.02/0.83
% 2.02/0.83 **** run 25 fork 0 starts with strategy
% 2.02/0.83 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 2.79/0.88
% 2.79/0.88 fork 4: search finished without proof.
% 2.79/0.88
% 2.79/0.88 fork 3: search finished without proof.
% 3.00/0.89
% 3.00/0.89 fork 1: search finished without proof.
% 3.00/0.89
% 3.00/0.89 **** run 29 fork 4 starts with strategy
% 3.00/0.89 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.00/0.90
% 3.00/0.90 **** run 28 fork 3 starts with strategy
% 3.00/0.90 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.00/0.91
% 3.00/0.91 **** run 26 fork 1 starts with strategy
% 3.00/0.91 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.00/0.93
% 3.00/0.93
% 3.00/0.93 fork 7: search terminated without proof.
% 3.30/0.95
% 3.30/0.95 **** run 32 fork 7 starts with strategy
% 3.30/0.95 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.30/0.99
% 3.30/0.99
% 3.30/0.99 result: proof found
% 3.30/0.99 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/0.99 by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 3.30/0.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/0.99
% 3.30/0.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.30/0.99
% 3.30/0.99 run 3 fork 2 statistics:
% 3.30/0.99 ----------------------------------
% 3.30/0.99 this run seconds: 0.076537
% 3.30/0.99 total seconds: 0.117844
% 3.30/0.99 stat_given_used: 1527
% 3.30/0.99 stat_given_used_at_endgame: 0
% 3.30/0.99 stat_given_candidates: 2773
% 3.30/0.99 stat_given_candidates_at_endgame: 0
% 3.30/0.99 stat_given_candidates_h: 0
% 3.30/0.99 stat_binres_derived_cl: 1019
% 3.30/0.99 stat_binres_derived_cl_h: 0
% 3.30/0.99 stat_factor_derived_cl: 0
% 3.30/0.99 stat_para_derived_cl: 2744
% 3.30/0.99 stat_tautologies_discarded: 0
% 3.30/0.99 stat_forward_subsumed: 2166
% 3.30/0.99 stat_derived_cut: 597
% 3.30/0.99 stat_derived_rewritten: 594
% 3.30/0.99 stat_weight_discarded_building: 0
% 3.30/0.99 stat_weight_discarded_cl: 607
% 3.30/0.99 stat_internlimit_discarded_cl: 0
% 3.30/0.99 stat_simplified: 851 simplified 0 derived 0 given
% 3.30/0.99 stat_kept_cl: 919
% 3.30/0.99 stat_built_cl: 5431
% 3.30/0.99 stat_hyperres_partial_cl: 0
% 3.30/0.99 stat_made_rewriters: 35
% 3.30/0.99 stat_backward_subsumed: 0
% 3.30/0.99 stat_propagated_subsumed: 0
% 3.30/0.99 stat_clsubs_attempted: 1803
% 3.30/0.99 stat_clsubs_fact_groundunit_found: 7
% 3.30/0.99 stat_clsubs_rule_groundunit_found: 371
% 3.30/0.99 stat_clsubs_top_meta_attempted: 1051338
% 3.30/0.99 stat_clsubs_top_meta_failed: 1049535
% 3.30/0.99 stat_clsubs_top_meta_nonpref_attempted: 1051338
% 3.30/0.99 stat_clsubs_top_meta_nonpref_succeeded: 328773
% 3.30/0.99 stat_clsubs_top_meta_pref_attempted: 328773
% 3.30/0.99 stat_clsubs_top_meta_pref1_succeeded: 268290
% 3.30/0.99 stat_clsubs_top_meta_pref2_succeeded: 2057
% 3.30/0.99 stat_clsubs_top_meta_pref3_succeeded: 1803
% 3.30/0.99 stat_clsubs_top_meta_pref_succeeded: 1803
% 3.30/0.99 stat_clsubs_meta_attempted: 3610
% 3.30/0.99 stat_clsubs_meta_failed: 2940
% 3.30/0.99 stat_clsubs_predsymbs_attempted: 0
% 3.30/0.99 stat_clsubs_unit_attempted: 0
% 3.30/0.99 stat_clsubs_full_attempted: 1803
% 3.30/0.99 stat_forwardsubs_attempted: 3692
% 3.30/0.99 stat_lit_hash_added: 3490
% 3.30/0.99 stat_lit_hash_computed: 24650
% 3.30/0.99 stat_lit_hash_match_found: 3655
% 3.30/0.99 stat_lit_hash_match_miss: 23337
% 3.30/0.99 stat_lit_hash_cut_ok: 715
% 3.30/0.99 stat_lit_strong_cut_ok: 0
% 3.30/0.99 stat_lit_hash_subsume_ok: 2166
% 3.30/0.99 clqueue els 10000000 used 1
% 3.30/0.99 clactive els 10000000 used 1528
% 3.30/0.99 clactivesubsume els 10000000 used 6805
% 3.30/0.99 queue_termbuf els 200000000 used 84427
% 3.30/0.99 hyper_termbuf els 100000000 used 1
% 3.30/0.99 active_termbuf els 100000000 used 30830
% 3.30/0.99 varstack els 5000 last used 1
% 3.30/0.99 given_termbuf els 10000000 last used 7
% 3.30/0.99 simplified_termbuf els 10000000 last used 1
% 3.30/0.99 derived_termbuf els 10000000 last used 9
% 3.30/0.99 wr_mallocs: 13810
% 3.30/0.99 wr_callocs: 21
% 3.30/0.99 wr_reallocs: 971
% 3.30/0.99 wr_frees: 4
% 3.30/0.99 wr_malloc_bytes: 4163060932
% 3.30/0.99 wr_calloc_bytes: 112065536
% 3.30/0.99 wr_realloc_bytes: 235992
% 3.30/0.99 wr_realloc_freebytes: 0
% 3.30/0.99 ----------------------------------
%------------------------------------------------------------------------------