TSTP Solution File: ALG189+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG189+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n014.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 16:28:12 EDT 2023
% Result : Theorem 0.19s 0.66s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| ( 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 )
| ( 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(op(e4,e4),e4) != e4
| op(op(e4,e3),e3) != e4
| op(op(e4,e2),e2) != e4
| op(op(e4,e1),e1) != e4
| op(op(e4,e0),e0) != e4
| op(op(e3,e4),e4) != e3
| op(op(e3,e3),e3) != e3
| op(op(e3,e2),e2) != e3
| op(op(e3,e1),e1) != e3
| op(op(e3,e0),e0) != e3
| op(op(e2,e4),e4) != e2
| op(op(e2,e3),e3) != e2
| op(op(e2,e2),e2) != e2
| op(op(e2,e1),e1) != e2
| op(op(e2,e0),e0) != e2
| op(op(e1,e4),e4) != e1
| op(op(e1,e3),e3) != e1
| op(op(e1,e2),e2) != e1
| op(op(e1,e1),e1) != e1
| op(op(e1,e0),e0) != e1
| op(op(e0,e4),e4) != e0
| op(op(e0,e3),e3) != e0
| op(op(e0,e2),e2) != e0
| op(op(e0,e1),e1) != e0
| op(op(e0,e0),e0) != e0 ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
( op(op(e0,e0),e0) = e0
& op(op(e0,e1),e1) = e0
& op(op(e0,e2),e2) = e0
& op(op(e0,e3),e3) = e0
& op(op(e0,e4),e4) = e0
& op(op(e1,e0),e0) = e1
& op(op(e1,e1),e1) = e1
& op(op(e1,e2),e2) = e1
& op(op(e1,e3),e3) = e1
& op(op(e1,e4),e4) = e1
& op(op(e2,e0),e0) = e2
& op(op(e2,e1),e1) = e2
& op(op(e2,e2),e2) = e2
& op(op(e2,e3),e3) = e2
& op(op(e2,e4),e4) = e2
& op(op(e3,e0),e0) = e3
& op(op(e3,e1),e1) = e3
& op(op(e3,e2),e2) = e3
& op(op(e3,e3),e3) = e3
& op(op(e3,e4),e4) = e3
& op(op(e4,e0),e0) = e4
& op(op(e4,e1),e1) = e4
& op(op(e4,e2),e2) = e4
& op(op(e4,e3),e3) = e4
& op(op(e4,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(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 )
& op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e0,e1)) = e0
& op(op(e2,e0),op(e0,e2)) = e0
& op(op(e3,e0),op(e0,e3)) = e0
& op(op(e4,e0),op(e0,e4)) = e0
& op(op(e0,e1),op(e1,e0)) = e1
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e1,e2)) = e1
& op(op(e3,e1),op(e1,e3)) = e1
& op(op(e4,e1),op(e1,e4)) = e1
& op(op(e0,e2),op(e2,e0)) = e2
& op(op(e1,e2),op(e2,e1)) = e2
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e2,e3)) = e2
& op(op(e4,e2),op(e2,e4)) = e2
& op(op(e0,e3),op(e3,e0)) = e3
& op(op(e1,e3),op(e3,e1)) = e3
& op(op(e2,e3),op(e3,e2)) = e3
& op(op(e3,e3),op(e3,e3)) = e3
& op(op(e4,e3),op(e3,e4)) = e3
& op(op(e0,e4),op(e4,e0)) = e4
& op(op(e1,e4),op(e4,e1)) = e4
& op(op(e2,e4),op(e4,e2)) = e4
& op(op(e3,e4),op(e4,e3)) = e4
& op(op(e4,e4),op(e4,e4)) = e4 ),
input ).
fof('ax2_$sk',plain,
( op(e4,e4) = e4
& op(e4,e3) = e1
& op(e4,e2) = e0
& op(e4,e1) = e2
& op(e4,e0) = e3
& op(e3,e4) = e2
& op(e3,e3) = e3
& op(e3,e2) = e1
& op(e3,e1) = e0
& op(e3,e0) = e4
& op(e2,e4) = e3
& op(e2,e3) = e0
& op(e2,e2) = e2
& op(e2,e1) = e4
& op(e2,e0) = e1
& op(e1,e4) = e0
& op(e1,e3) = e4
& op(e1,e2) = e3
& op(e1,e1) = e1
& op(e1,e0) = e2
& op(e0,e4) = e1
& op(e0,e3) = e2
& op(e0,e2) = e4
& op(e0,e1) = e3
& op(e0,e0) = e0 ),
inference(negpush_and_skolemize,[],[ax2]) ).
fof(ax2,axiom,
( op(e0,e0) = e0
& op(e0,e1) = e3
& op(e0,e2) = e4
& op(e0,e3) = e2
& op(e0,e4) = e1
& op(e1,e0) = e2
& op(e1,e1) = e1
& op(e1,e2) = e3
& op(e1,e3) = e4
& op(e1,e4) = e0
& op(e2,e0) = e1
& op(e2,e1) = e4
& op(e2,e2) = e2
& op(e2,e3) = e0
& op(e2,e4) = e3
& op(e3,e0) = e4
& op(e3,e1) = e0
& op(e3,e2) = e1
& op(e3,e3) = e3
& op(e3,e4) = e2
& op(e4,e0) = e3
& op(e4,e1) = e2
& op(e4,e2) = e0
& op(e4,e3) = e1
& op(e4,e4) = e4 ),
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(e0,e0) != e0
| ~ $pr($df154)
| $pr($df146)
| $pr($df145) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('3',plain,
( ~ $pr($df154)
| $pr($df146)
| $pr($df145) ),
inference(simplify,[],['1','2']) ).
cnf('4',plain,
( op(e0,e0) != e0
| ~ $pr($df145) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('5',plain,
~ $pr($df145),
inference(simplify,[],['4','2']) ).
cnf('6',plain,
( ~ $pr($df154)
| $pr($df146) ),
inference(resolution,[],['3','5']) ).
cnf('7',plain,
( op(e3,e4) != e2
| ~ $pr($df330)
| $pr($df322)
| $pr($df321) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('8',plain,
op(e3,e4) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('9',plain,
( ~ $pr($df330)
| $pr($df322)
| $pr($df321) ),
inference(simplify,[],['7','8']) ).
cnf('10',plain,
( op(e4,e1) != e2
| ~ $pr($df321) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('11',plain,
op(e4,e1) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('12',plain,
~ $pr($df321),
inference(simplify,[],['10','11']) ).
cnf('13',plain,
( ~ $pr($df330)
| $pr($df322) ),
inference(resolution,[],['9','12']) ).
cnf('14',plain,
( op(e2,e4) != e3
| ~ $pr($df338)
| $pr($df329)
| $pr($df330) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('15',plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('16',plain,
( ~ $pr($df338)
| $pr($df329)
| $pr($df330) ),
inference(simplify,[],['14','15']) ).
cnf('17',plain,
( op(e4,e0) != e3
| ~ $pr($df329) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('18',plain,
op(e4,e0) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('19',plain,
~ $pr($df329),
inference(simplify,[],['17','18']) ).
cnf('20',plain,
( ~ $pr($df338)
| $pr($df330) ),
inference(resolution,[],['16','19']) ).
cnf('21',plain,
( op(op(e4,e4),op(e4,e4)) != e4
| op(op(e3,e4),op(e4,e3)) != e4
| op(op(e4,e3),op(e3,e4)) != e3
| op(op(e2,e4),op(e4,e2)) != e4
| op(op(e3,e3),op(e3,e3)) != e3
| op(op(e1,e4),op(e4,e1)) != e4
| op(op(e4,e2),op(e2,e4)) != e2
| op(op(e2,e3),op(e3,e2)) != e3
| op(op(e0,e4),op(e4,e0)) != e4
| op(op(e3,e2),op(e2,e3)) != e2
| op(op(e1,e3),op(e3,e1)) != e3
| op(op(e4,e1),op(e1,e4)) != e1
| op(op(e2,e2),op(e2,e2)) != e2
| op(op(e0,e3),op(e3,e0)) != e3
| op(op(e3,e1),op(e1,e3)) != e1
| op(op(e1,e2),op(e2,e1)) != e2
| op(op(e4,e0),op(e0,e4)) != e0
| op(op(e2,e1),op(e1,e2)) != e1
| op(op(e0,e2),op(e2,e0)) != e2
| op(op(e3,e0),op(e0,e3)) != e0
| op(op(e1,e1),op(e1,e1)) != e1
| op(op(e2,e0),op(e0,e2)) != e0
| op(op(e0,e1),op(e1,e0)) != e1
| op(op(e1,e0),op(e0,e1)) != e0
| op(op(e0,e0),op(e0,e0)) != e0
| op(e4,e4) != e4
| $pr($df338)
| $pr($df337) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('22',plain,
op(e4,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('23',plain,
op(e4,e3) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('24',plain,
op(e2,e1) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('25',plain,
op(e1,e2) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('26',plain,
op(e4,e2) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('27',plain,
op(e3,e0) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('28',plain,
op(e3,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('29',plain,
op(e1,e4) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('30',plain,
op(e0,e2) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('31',plain,
op(e0,e3) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('32',plain,
op(e2,e3) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('33',plain,
op(e3,e2) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('34',plain,
op(e0,e1) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('35',plain,
op(e0,e4) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('36',plain,
op(e1,e3) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('37',plain,
op(e1,e0) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('38',plain,
op(e3,e1) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('39',plain,
op(e2,e0) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('40',plain,
op(e2,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('41',plain,
op(e1,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('42',plain,
( $pr($df338)
| $pr($df337) ),
inference(simplify,[then_simplify],['21','22','22','22','8','23','24','23','8','25','15','26','27','28','28','28','29','11','30','26','15','31','32','33','34','35','18','36','33','32','37','36','38','18','11','29','39','40','40','40','31','27','15','38','36','35','25','24','8','18','35','38','24','25','23','30','39','11','27','31','26','41','41','41','39','30','29','34','37','33','37','34','32','2','2','2','22']) ).
cnf('43',plain,
( op(e4,e4) != e4
| ~ $pr($df337) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('44',plain,
~ $pr($df337),
inference(simplify,[],['43','22']) ).
cnf('45',plain,
$pr($df338),
inference(resolution,[],['42','44']) ).
cnf('46',plain,
$pr($df330),
inference(simplify,[],['20','45']) ).
cnf('47',plain,
( ~ $pr($df330)
| $pr($df343)
| $pr($df340)
| $pr($df339) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('48',plain,
( ~ $pr($df340)
| op(e1,e4) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('49',plain,
e0 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('50',plain,
~ $pr($df340),
inference(simplify,[then_simplify],['48','49','29']) ).
cnf('51',plain,
( ~ $pr($df330)
| $pr($df343)
| $pr($df339) ),
inference(resolution,[],['47','50']) ).
cnf('52',plain,
( ~ $pr($df339)
| ~ $pr($df330) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('53',plain,
( ~ $pr($df330)
| $pr($df343) ),
inference(simplify,[],['51','52']) ).
cnf('54',plain,
$pr($df343),
inference(resolution,[],['46','53']) ).
cnf('55',plain,
( ~ $pr($df343)
| $pr($df330) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('56',plain,
$pr($df330),
inference(resolution,[],['54','55']) ).
cnf('57',plain,
$pr($df322),
inference(simplify,[],['13','56']) ).
cnf('58',plain,
( op(e0,e4) != e1
| ~ $pr($df322)
| $pr($df314)
| $pr($df313) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('59',plain,
( ~ $pr($df322)
| $pr($df314)
| $pr($df313) ),
inference(simplify,[],['58','35']) ).
cnf('60',plain,
( op(e4,e3) != e1
| ~ $pr($df313) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('61',plain,
~ $pr($df313),
inference(simplify,[],['60','23']) ).
cnf('62',plain,
( ~ $pr($df322)
| $pr($df314) ),
inference(resolution,[],['59','61']) ).
cnf('63',plain,
$pr($df314),
inference(resolution,[],['57','62']) ).
cnf('64',plain,
( op(e1,e4) != e0
| ~ $pr($df314)
| $pr($df306)
| $pr($df305) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('65',plain,
( ~ $pr($df314)
| $pr($df306)
| $pr($df305) ),
inference(simplify,[],['64','29']) ).
cnf('66',plain,
( op(e4,e2) != e0
| ~ $pr($df305) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('67',plain,
~ $pr($df305),
inference(simplify,[],['66','26']) ).
cnf('68',plain,
( ~ $pr($df314)
| $pr($df306) ),
inference(resolution,[],['65','67']) ).
cnf('69',plain,
$pr($df306),
inference(resolution,[],['63','68']) ).
cnf('70',plain,
( op(e1,e3) != e4
| ~ $pr($df306)
| $pr($df298)
| $pr($df297) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('71',plain,
( ~ $pr($df306)
| $pr($df298)
| $pr($df297) ),
inference(simplify,[],['70','36']) ).
cnf('72',plain,
( op(e3,e0) != e4
| ~ $pr($df297) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('73',plain,
~ $pr($df297),
inference(simplify,[],['72','27']) ).
cnf('74',plain,
( ~ $pr($df306)
| $pr($df298) ),
inference(resolution,[],['71','73']) ).
cnf('75',plain,
$pr($df298),
inference(resolution,[],['69','74']) ).
cnf('76',plain,
( op(e3,e3) != e3
| ~ $pr($df298)
| $pr($df289)
| $pr($df290) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('77',plain,
( ~ $pr($df298)
| $pr($df289)
| $pr($df290) ),
inference(simplify,[],['76','28']) ).
cnf('78',plain,
( op(e3,e3) != e3
| ~ $pr($df289) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('79',plain,
~ $pr($df289),
inference(simplify,[],['78','28']) ).
cnf('80',plain,
( ~ $pr($df298)
| $pr($df290) ),
inference(resolution,[],['77','79']) ).
cnf('81',plain,
$pr($df290),
inference(resolution,[],['75','80']) ).
cnf('82',plain,
( op(e0,e3) != e2
| ~ $pr($df290)
| $pr($df282)
| $pr($df281) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('83',plain,
( ~ $pr($df290)
| $pr($df282)
| $pr($df281) ),
inference(simplify,[],['82','31']) ).
cnf('84',plain,
( op(e3,e4) != e2
| ~ $pr($df281) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('85',plain,
~ $pr($df281),
inference(simplify,[],['84','8']) ).
cnf('86',plain,
( ~ $pr($df290)
| $pr($df282) ),
inference(resolution,[],['83','85']) ).
cnf('87',plain,
$pr($df282),
inference(resolution,[],['81','86']) ).
cnf('88',plain,
( op(e4,e3) != e1
| ~ $pr($df282)
| $pr($df274)
| $pr($df273) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('89',plain,
( ~ $pr($df282)
| $pr($df274)
| $pr($df273) ),
inference(simplify,[],['88','23']) ).
cnf('90',plain,
( op(e3,e2) != e1
| ~ $pr($df273) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('91',plain,
~ $pr($df273),
inference(simplify,[],['90','33']) ).
cnf('92',plain,
( ~ $pr($df282)
| $pr($df274) ),
inference(resolution,[],['89','91']) ).
cnf('93',plain,
$pr($df274),
inference(resolution,[],['87','92']) ).
cnf('94',plain,
( op(e2,e3) != e0
| ~ $pr($df274)
| $pr($df266)
| $pr($df265) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('95',plain,
( ~ $pr($df274)
| $pr($df266)
| $pr($df265) ),
inference(simplify,[],['94','32']) ).
cnf('96',plain,
( op(e3,e1) != e0
| ~ $pr($df265) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('97',plain,
~ $pr($df265),
inference(simplify,[],['96','38']) ).
cnf('98',plain,
( ~ $pr($df274)
| $pr($df266) ),
inference(resolution,[],['95','97']) ).
cnf('99',plain,
$pr($df266),
inference(resolution,[],['93','98']) ).
cnf('100',plain,
( op(e0,e2) != e4
| ~ $pr($df266)
| $pr($df258)
| $pr($df257) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('101',plain,
( ~ $pr($df266)
| $pr($df258)
| $pr($df257) ),
inference(simplify,[],['100','30']) ).
cnf('102',plain,
( op(e2,e1) != e4
| ~ $pr($df257) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('103',plain,
~ $pr($df257),
inference(simplify,[],['102','24']) ).
cnf('104',plain,
( ~ $pr($df266)
| $pr($df258) ),
inference(resolution,[],['101','103']) ).
cnf('105',plain,
$pr($df258),
inference(resolution,[],['99','104']) ).
cnf('106',plain,
( op(e1,e2) != e3
| ~ $pr($df258)
| $pr($df250)
| $pr($df249) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('107',plain,
( ~ $pr($df258)
| $pr($df250)
| $pr($df249) ),
inference(simplify,[],['106','25']) ).
cnf('108',plain,
( op(e2,e4) != e3
| ~ $pr($df249) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('109',plain,
~ $pr($df249),
inference(simplify,[],['108','15']) ).
cnf('110',plain,
( ~ $pr($df258)
| $pr($df250) ),
inference(resolution,[],['107','109']) ).
cnf('111',plain,
$pr($df250),
inference(resolution,[],['105','110']) ).
cnf('112',plain,
( op(e2,e2) != e2
| ~ $pr($df250)
| $pr($df242)
| $pr($df241) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('113',plain,
( ~ $pr($df250)
| $pr($df242)
| $pr($df241) ),
inference(simplify,[],['112','40']) ).
cnf('114',plain,
( op(e2,e2) != e2
| ~ $pr($df241) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('115',plain,
~ $pr($df241),
inference(simplify,[],['114','40']) ).
cnf('116',plain,
( ~ $pr($df250)
| $pr($df242) ),
inference(resolution,[],['113','115']) ).
cnf('117',plain,
$pr($df242),
inference(resolution,[],['111','116']) ).
cnf('118',plain,
( op(e3,e2) != e1
| ~ $pr($df242)
| $pr($df234)
| $pr($df233) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('119',plain,
( ~ $pr($df242)
| $pr($df234)
| $pr($df233) ),
inference(simplify,[],['118','33']) ).
cnf('120',plain,
( op(e2,e0) != e1
| ~ $pr($df233) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('121',plain,
~ $pr($df233),
inference(simplify,[],['120','39']) ).
cnf('122',plain,
( ~ $pr($df242)
| $pr($df234) ),
inference(resolution,[],['119','121']) ).
cnf('123',plain,
$pr($df234),
inference(resolution,[],['117','122']) ).
cnf('124',plain,
( op(e4,e2) != e0
| ~ $pr($df234)
| $pr($df226)
| $pr($df225) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('125',plain,
( ~ $pr($df234)
| $pr($df226)
| $pr($df225) ),
inference(simplify,[],['124','26']) ).
cnf('126',plain,
( op(e2,e3) != e0
| ~ $pr($df225) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('127',plain,
~ $pr($df225),
inference(simplify,[],['126','32']) ).
cnf('128',plain,
( ~ $pr($df234)
| $pr($df226) ),
inference(resolution,[],['125','127']) ).
cnf('129',plain,
$pr($df226),
inference(resolution,[],['123','128']) ).
cnf('130',plain,
( op(e2,e1) != e4
| ~ $pr($df226)
| $pr($df218)
| $pr($df217) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('131',plain,
( ~ $pr($df226)
| $pr($df218)
| $pr($df217) ),
inference(simplify,[],['130','24']) ).
cnf('132',plain,
( op(e1,e3) != e4
| ~ $pr($df217) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('133',plain,
~ $pr($df217),
inference(simplify,[],['132','36']) ).
cnf('134',plain,
( ~ $pr($df226)
| $pr($df218) ),
inference(resolution,[],['131','133']) ).
cnf('135',plain,
$pr($df218),
inference(resolution,[],['129','134']) ).
cnf('136',plain,
( op(e0,e1) != e3
| ~ $pr($df218)
| $pr($df210)
| $pr($df209) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('137',plain,
( ~ $pr($df218)
| $pr($df210)
| $pr($df209) ),
inference(simplify,[],['136','34']) ).
cnf('138',plain,
( op(e1,e2) != e3
| ~ $pr($df209) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('139',plain,
~ $pr($df209),
inference(simplify,[],['138','25']) ).
cnf('140',plain,
( ~ $pr($df218)
| $pr($df210) ),
inference(resolution,[],['137','139']) ).
cnf('141',plain,
$pr($df210),
inference(resolution,[],['135','140']) ).
cnf('142',plain,
( op(e4,e1) != e2
| ~ $pr($df210)
| $pr($df202)
| $pr($df201) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('143',plain,
( ~ $pr($df210)
| $pr($df202)
| $pr($df201) ),
inference(simplify,[],['142','11']) ).
cnf('144',plain,
( op(e1,e0) != e2
| ~ $pr($df201) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('145',plain,
~ $pr($df201),
inference(simplify,[],['144','37']) ).
cnf('146',plain,
( ~ $pr($df210)
| $pr($df202) ),
inference(resolution,[],['143','145']) ).
cnf('147',plain,
$pr($df202),
inference(resolution,[],['141','146']) ).
cnf('148',plain,
( op(e1,e1) != e1
| ~ $pr($df202)
| $pr($df194)
| $pr($df193) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('149',plain,
( ~ $pr($df202)
| $pr($df194)
| $pr($df193) ),
inference(simplify,[],['148','41']) ).
cnf('150',plain,
( op(e1,e1) != e1
| ~ $pr($df193) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('151',plain,
~ $pr($df193),
inference(simplify,[],['150','41']) ).
cnf('152',plain,
( ~ $pr($df202)
| $pr($df194) ),
inference(resolution,[],['149','151']) ).
cnf('153',plain,
$pr($df194),
inference(resolution,[],['147','152']) ).
cnf('154',plain,
( op(e3,e1) != e0
| ~ $pr($df194)
| $pr($df186)
| $pr($df185) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('155',plain,
( ~ $pr($df194)
| $pr($df186)
| $pr($df185) ),
inference(simplify,[],['154','38']) ).
cnf('156',plain,
( op(e1,e4) != e0
| ~ $pr($df185) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('157',plain,
~ $pr($df185),
inference(simplify,[],['156','29']) ).
cnf('158',plain,
( ~ $pr($df194)
| $pr($df186) ),
inference(resolution,[],['155','157']) ).
cnf('159',plain,
$pr($df186),
inference(resolution,[],['153','158']) ).
cnf('160',plain,
( op(e3,e0) != e4
| ~ $pr($df186)
| $pr($df178)
| $pr($df177) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('161',plain,
( ~ $pr($df186)
| $pr($df178)
| $pr($df177) ),
inference(simplify,[],['160','27']) ).
cnf('162',plain,
( op(e0,e2) != e4
| ~ $pr($df177) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('163',plain,
~ $pr($df177),
inference(simplify,[],['162','30']) ).
cnf('164',plain,
( ~ $pr($df186)
| $pr($df178) ),
inference(resolution,[],['161','163']) ).
cnf('165',plain,
$pr($df178),
inference(resolution,[],['159','164']) ).
cnf('166',plain,
( op(e4,e0) != e3
| ~ $pr($df178)
| $pr($df170)
| $pr($df169) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('167',plain,
( ~ $pr($df178)
| $pr($df170)
| $pr($df169) ),
inference(simplify,[],['166','18']) ).
cnf('168',plain,
( op(e0,e1) != e3
| ~ $pr($df169) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('169',plain,
~ $pr($df169),
inference(simplify,[],['168','34']) ).
cnf('170',plain,
( ~ $pr($df178)
| $pr($df170) ),
inference(resolution,[],['167','169']) ).
cnf('171',plain,
$pr($df170),
inference(resolution,[],['165','170']) ).
cnf('172',plain,
( op(e1,e0) != e2
| ~ $pr($df170)
| $pr($df162)
| $pr($df161) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('173',plain,
( ~ $pr($df170)
| $pr($df162)
| $pr($df161) ),
inference(simplify,[],['172','37']) ).
cnf('174',plain,
( op(e0,e3) != e2
| ~ $pr($df161) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('175',plain,
~ $pr($df161),
inference(simplify,[],['174','31']) ).
cnf('176',plain,
( ~ $pr($df170)
| $pr($df162) ),
inference(resolution,[],['173','175']) ).
cnf('177',plain,
$pr($df162),
inference(resolution,[],['171','176']) ).
cnf('178',plain,
( op(e2,e0) != e1
| ~ $pr($df162)
| $pr($df154)
| $pr($df153) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('179',plain,
( ~ $pr($df162)
| $pr($df154)
| $pr($df153) ),
inference(simplify,[],['178','39']) ).
cnf('180',plain,
( op(e0,e4) != e1
| ~ $pr($df153) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('181',plain,
~ $pr($df153),
inference(simplify,[],['180','35']) ).
cnf('182',plain,
( ~ $pr($df162)
| $pr($df154) ),
inference(resolution,[],['179','181']) ).
cnf('183',plain,
$pr($df154),
inference(resolution,[],['177','182']) ).
cnf('184',plain,
$pr($df146),
inference(simplify,[],['6','183']) ).
cnf('185',plain,
( op(e4,e4) != e4
| ~ $pr($df146)
| $pr($df138)
| $pr($df137) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('186',plain,
( ~ $pr($df146)
| $pr($df138)
| $pr($df137) ),
inference(simplify,[],['185','22']) ).
cnf('187',plain,
( op(e4,e3) != e1
| ~ $pr($df137) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('188',plain,
~ $pr($df137),
inference(simplify,[],['187','23']) ).
cnf('189',plain,
( ~ $pr($df146)
| $pr($df138) ),
inference(resolution,[],['186','188']) ).
cnf('190',plain,
$pr($df138),
inference(resolution,[],['184','189']) ).
cnf('191',plain,
( op(e4,e2) != e0
| ~ $pr($df138)
| $pr($df130)
| $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('192',plain,
( ~ $pr($df138)
| $pr($df130)
| $pr($df129) ),
inference(simplify,[],['191','26']) ).
cnf('193',plain,
( op(e2,e2) != e2
| ~ $pr($df98)
| $pr($df90)
| $pr($df89) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('194',plain,
( ~ $pr($df98)
| $pr($df90)
| $pr($df89) ),
inference(simplify,[],['193','40']) ).
cnf('195',plain,
( op(e2,e1) != e4
| ~ $pr($df89) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('196',plain,
~ $pr($df89),
inference(simplify,[],['195','24']) ).
cnf('197',plain,
( ~ $pr($df98)
| $pr($df90) ),
inference(resolution,[],['194','196']) ).
cnf('198',plain,
( op(e1,e3) != e4
| ~ $pr($df82)
| $pr($df74)
| $pr($df73) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('199',plain,
( ~ $pr($df82)
| $pr($df74)
| $pr($df73) ),
inference(simplify,[],['198','36']) ).
cnf('200',plain,
( op(e1,e2) != e3
| ~ $pr($df73) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('201',plain,
~ $pr($df73),
inference(simplify,[],['200','25']) ).
cnf('202',plain,
( ~ $pr($df82)
| $pr($df74) ),
inference(resolution,[],['199','201']) ).
cnf('203',plain,
( op(e1,e1) != e1
| ~ $pr($df74)
| $pr($df66)
| $pr($df65) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('204',plain,
( ~ $pr($df74)
| $pr($df66)
| $pr($df65) ),
inference(simplify,[],['203','41']) ).
cnf('205',plain,
( op(e1,e0) != e2
| ~ $pr($df65) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('206',plain,
~ $pr($df65),
inference(simplify,[],['205','37']) ).
cnf('207',plain,
( ~ $pr($df74)
| $pr($df66) ),
inference(resolution,[],['204','206']) ).
cnf('208',plain,
( op(e0,e2) != e4
| ~ $pr($df58)
| $pr($df1)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('209',plain,
( ~ $pr($df58)
| $pr($df1)
| $pr($df2) ),
inference(simplify,[],['208','30']) ).
cnf('210',plain,
( op(e0,e1) != e3
| ~ $pr($df1) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('211',plain,
~ $pr($df1),
inference(simplify,[],['210','34']) ).
cnf('212',plain,
( ~ $pr($df58)
| $pr($df2) ),
inference(resolution,[],['209','211']) ).
cnf('213',plain,
( op(op(e4,e4),e4) != e4
| op(op(e4,e3),e3) != e4
| op(op(e3,e4),e4) != e3
| op(op(e2,e4),e4) != e2
| op(op(e4,e2),e2) != e4
| op(op(e3,e3),e3) != e3
| op(op(e1,e4),e4) != e1
| op(op(e2,e3),e3) != e2
| op(op(e4,e1),e1) != e4
| op(op(e3,e2),e2) != e3
| op(op(e0,e4),e4) != e0
| op(op(e1,e3),e3) != e1
| op(op(e2,e2),e2) != e2
| op(op(e4,e0),e0) != e4
| op(op(e3,e1),e1) != e3
| op(op(e0,e3),e3) != e0
| op(op(e1,e2),e2) != e1
| op(op(e2,e1),e1) != e2
| op(op(e3,e0),e0) != e3
| op(op(e0,e2),e2) != e0
| op(op(e1,e1),e1) != e1
| op(op(e2,e0),e0) != e2
| op(op(e0,e1),e1) != e0
| op(op(e1,e0),e0) != e1
| op(op(e0,e0),e0) != e0
| op(e0,e0) != e0
| ~ $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('214',plain,
~ $pr($df2),
inference(simplify,[then_simplify],['213','22','22','23','36','8','15','15','8','26','30','28','28','29','35','32','31','11','24','33','25','35','29','36','23','40','40','18','27','38','34','31','32','25','33','24','11','27','18','30','26','41','41','39','37','34','38','37','39','2','2','2']) ).
cnf('215',plain,
( ~ $pr($df63)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('216',plain,
~ $pr($df63),
inference(resolution,[],['214','215']) ).
cnf('217',plain,
( ~ $pr($df2)
| $pr($df59)
| $pr($df63)
| $pr($df60) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('218',plain,
( ~ $pr($df59)
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('219',plain,
( ~ $pr($df59)
| e4 = e0 ),
inference(simplify,[],['218','30']) ).
cnf('220',plain,
e0 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('221',plain,
~ $pr($df59),
inference(paramodulation,[],['219','220']) ).
cnf('222',plain,
( ~ $pr($df60)
| op(e0,e2) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('223',plain,
( ~ $pr($df60)
| e4 = e1 ),
inference(simplify,[],['222','30']) ).
cnf('224',plain,
e1 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('225',plain,
~ $pr($df60),
inference(paramodulation,[],['223','224']) ).
cnf('226',plain,
( ~ $pr($df2)
| $pr($df63) ),
inference(simplify,[then_simplify],['217','221','225']) ).
cnf('227',plain,
~ $pr($df2),
inference(resolution,[],['216','226']) ).
cnf('228',plain,
~ $pr($df58),
inference(simplify,[],['212','227']) ).
cnf('229',plain,
( op(e0,e4) != e1
| ~ $pr($df66)
| $pr($df58)
| $pr($df57) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('230',plain,
( ~ $pr($df66)
| $pr($df58)
| $pr($df57) ),
inference(simplify,[],['229','35']) ).
cnf('231',plain,
( op(e0,e3) != e2
| ~ $pr($df57) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('232',plain,
~ $pr($df57),
inference(simplify,[],['231','31']) ).
cnf('233',plain,
( ~ $pr($df66)
| $pr($df58) ),
inference(resolution,[],['230','232']) ).
cnf('234',plain,
~ $pr($df66),
inference(resolution,[],['228','233']) ).
cnf('235',plain,
~ $pr($df74),
inference(simplify,[],['207','234']) ).
cnf('236',plain,
( ~ $pr($df87)
| $pr($df74) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('237',plain,
~ $pr($df87),
inference(resolution,[],['235','236']) ).
cnf('238',plain,
( ~ $pr($df74)
| $pr($df87)
| $pr($df84)
| $pr($df83) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('239',plain,
( ~ $pr($df84)
| op(e1,e3) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('240',plain,
( ~ $pr($df84)
| e4 = e1 ),
inference(simplify,[],['239','36']) ).
cnf('241',plain,
~ $pr($df84),
inference(paramodulation,[],['240','224']) ).
cnf('242',plain,
( ~ $pr($df83)
| op(e1,e3) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('243',plain,
( ~ $pr($df83)
| e4 = e0 ),
inference(simplify,[],['242','36']) ).
cnf('244',plain,
~ $pr($df83),
inference(paramodulation,[],['243','220']) ).
cnf('245',plain,
( ~ $pr($df74)
| $pr($df87) ),
inference(simplify,[then_simplify],['238','241','244']) ).
cnf('246',plain,
~ $pr($df74),
inference(resolution,[],['237','245']) ).
cnf('247',plain,
~ $pr($df82),
inference(simplify,[],['202','246']) ).
cnf('248',plain,
( op(e2,e0) != e1
| ~ $pr($df90)
| $pr($df82)
| $pr($df81) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('249',plain,
( ~ $pr($df90)
| $pr($df82)
| $pr($df81) ),
inference(simplify,[],['248','39']) ).
cnf('250',plain,
( op(e1,e4) != e0
| ~ $pr($df81) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('251',plain,
~ $pr($df81),
inference(simplify,[],['250','29']) ).
cnf('252',plain,
( ~ $pr($df90)
| $pr($df82) ),
inference(resolution,[],['249','251']) ).
cnf('253',plain,
~ $pr($df90),
inference(resolution,[],['247','252']) ).
cnf('254',plain,
~ $pr($df98),
inference(simplify,[],['197','253']) ).
cnf('255',plain,
( op(e2,e4) != e3
| ~ $pr($df106)
| $pr($df98)
| $pr($df97) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('256',plain,
( ~ $pr($df106)
| $pr($df98)
| $pr($df97) ),
inference(simplify,[],['255','15']) ).
cnf('257',plain,
( op(e2,e3) != e0
| ~ $pr($df97) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('258',plain,
~ $pr($df97),
inference(simplify,[],['257','32']) ).
cnf('259',plain,
( ~ $pr($df106)
| $pr($df98) ),
inference(resolution,[],['256','258']) ).
cnf('260',plain,
~ $pr($df106),
inference(resolution,[],['254','259']) ).
cnf('261',plain,
( op(e3,e1) != e0
| ~ $pr($df114)
| $pr($df106)
| $pr($df105) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('262',plain,
( ~ $pr($df114)
| $pr($df106)
| $pr($df105) ),
inference(simplify,[],['261','38']) ).
cnf('263',plain,
( op(e3,e0) != e4
| ~ $pr($df105) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('264',plain,
~ $pr($df105),
inference(simplify,[],['263','27']) ).
cnf('265',plain,
( ~ $pr($df114)
| $pr($df106) ),
inference(resolution,[],['262','264']) ).
cnf('266',plain,
~ $pr($df114),
inference(resolution,[],['260','265']) ).
cnf('267',plain,
( op(e3,e3) != e3
| ~ $pr($df122)
| $pr($df113)
| $pr($df114) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('268',plain,
( ~ $pr($df122)
| $pr($df113)
| $pr($df114) ),
inference(simplify,[],['267','28']) ).
cnf('269',plain,
( op(e3,e2) != e1
| ~ $pr($df113) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('270',plain,
~ $pr($df113),
inference(simplify,[],['269','33']) ).
cnf('271',plain,
( ~ $pr($df122)
| $pr($df114) ),
inference(resolution,[],['268','270']) ).
cnf('272',plain,
~ $pr($df122),
inference(resolution,[],['266','271']) ).
cnf('273',plain,
( op(e4,e0) != e3
| ~ $pr($df130)
| $pr($df122)
| $pr($df121) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('274',plain,
( ~ $pr($df130)
| $pr($df122)
| $pr($df121) ),
inference(simplify,[],['273','18']) ).
cnf('275',plain,
( op(e3,e4) != e2
| ~ $pr($df121) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('276',plain,
~ $pr($df121),
inference(simplify,[],['275','8']) ).
cnf('277',plain,
( ~ $pr($df130)
| $pr($df122) ),
inference(resolution,[],['274','276']) ).
cnf('278',plain,
~ $pr($df130),
inference(resolution,[],['272','277']) ).
cnf('279',plain,
~ $pr($df130),
inference(resolution,[],['272','277']) ).
cnf('280',plain,
( op(e4,e2) != e0
| $pr($df139)
| $pr($df130)
| $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('281',plain,
( $pr($df139)
| $pr($df130)
| $pr($df129) ),
inference(simplify,[],['280','26']) ).
cnf('282',plain,
( op(e4,e1) != e2
| ~ $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('283',plain,
~ $pr($df129),
inference(simplify,[],['282','11']) ).
cnf('284',plain,
( $pr($df139)
| $pr($df130) ),
inference(resolution,[],['281','283']) ).
cnf('285',plain,
$pr($df139),
inference(resolution,[],['279','284']) ).
cnf('286',plain,
( ~ $pr($df139)
| ~ $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('287',plain,
~ $pr($df129),
inference(resolution,[],['285','286']) ).
cnf('288',plain,
$false,
inference(resolution,[then_simplify],['190','192','278','287']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG189+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n014.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 : Mon Aug 28 05:24:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 input clause set summed statistics:
% 0.19/0.41 ----------------------------------
% 0.19/0.41 in_clause_count: 1849
% 0.19/0.41 in_rule_clause_count: 1849
% 0.19/0.41 in_fact_clause_count: 0
% 0.19/0.41 in_answer_clause_count: 0
% 0.19/0.41 in_ground_clause_count: 1849
% 0.19/0.41 in_unit_clause_count: 35
% 0.19/0.41 in_horn_clause_count: 960
% 0.19/0.41 in_pos_clause_count: 151
% 0.19/0.41 in_neg_clause_count: 650
% 0.19/0.41 in_poseq_clause_count: 398
% 0.19/0.41 in_negeq_clause_count: 558
% 0.19/0.41 in_unitposeq_clause_count: 25
% 0.19/0.41 in_chain_clause_count: 0
% 0.19/0.41 in_min_length: 1
% 0.19/0.41 in_max_length: 28
% 0.19/0.41 in_min_depth: 1
% 0.19/0.41 in_max_depth: 3
% 0.19/0.41 in_min_size: 3
% 0.19/0.41 in_max_size: 234
% 0.19/0.41 in_min_vars: 0
% 0.19/0.41 in_max_vars: 0
% 0.19/0.41 in_extaxiom_count: 0
% 0.19/0.41 in_axiom_count: 35
% 0.19/0.41 in_assumption_count: 0
% 0.19/0.41 in_goal_count: 1814
% 0.19/0.41 in_neg_goal_count: 640
% 0.19/0.41 in_pos_goal_count: 126
% 0.19/0.41 in_posunit_goal_count: 0
% 0.19/0.41
% 0.19/0.41 auto guide:
% 0.19/0.41 -----------
% 0.19/0.41 {
% 0.19/0.41 "print":1,
% 0.19/0.41 "print_level": 15,
% 0.19/0.41 "max_size": 0,
% 0.19/0.41 "max_depth": 0,
% 0.19/0.41 "max_length": 0,
% 0.19/0.41 "max_dseconds": 0,
% 0.19/0.41 "runs":[
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.41 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.41 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.41 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.41 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.41 {"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},
% 0.19/0.41 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.41 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.41 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.41 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.41 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.41 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.41 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
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% 0.19/0.41 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.19/0.41 {"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":10},
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% 0.19/0.41 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.19/0.41 {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.41 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
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% 0.19/0.41 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":10},
% 0.19/0.41 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.19/0.41
% 0.19/0.41 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
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% 0.19/0.41 {"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":50},
% 0.19/0.41 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.41 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.41 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.41 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
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% 0.19/0.41 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.41 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.41 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.41 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.41 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.41 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.41
% 0.19/0.41 {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.41 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.41 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.41 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.19/0.41
% 0.19/0.41 {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.41 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.41 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.41 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1}
% 0.19/0.41
% 0.19/0.41 ]}
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 **** run 1 fork 0 starts with strategy
% 0.19/0.41 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.19/0.41
% 0.19/0.41 **** run 2 fork 1 starts with strategy
% 0.19/0.41 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.19/0.41
% 0.19/0.41 **** run 3 fork 2 starts with strategy
% 0.19/0.41 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.41
% 0.19/0.41 **** run 4 fork 3 starts with strategy
% 0.19/0.41 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.41
% 0.19/0.41 **** run 5 fork 4 starts with strategy
% 0.19/0.41 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.42
% 0.19/0.42 **** run 6 fork 5 starts with strategy
% 0.19/0.42 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.42
% 0.19/0.42 **** run 7 fork 6 starts with strategy
% 0.19/0.42 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.43
% 0.19/0.43 **** run 8 fork 7 starts with strategy
% 0.19/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.46
% 0.19/0.46 fork 0: search finished without proof.
% 0.19/0.50
% 0.19/0.50 **** run 9 fork 0 starts with strategy
% 0.19/0.50 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.55
% 0.19/0.55 fork 3: search finished without proof.
% 0.19/0.55
% 0.19/0.55 fork 1: search finished without proof.
% 0.19/0.57
% 0.19/0.57 **** run 12 fork 3 starts with strategy
% 0.19/0.57 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.19/0.58
% 0.19/0.58 **** run 10 fork 1 starts with strategy
% 0.19/0.58 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.59
% 0.19/0.59 fork 4: search finished without proof.
% 0.19/0.59
% 0.19/0.59 fork 7: search finished without proof.
% 0.19/0.61
% 0.19/0.61 **** run 13 fork 4 starts with strategy
% 0.19/0.61 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.19/0.61
% 0.19/0.61 **** run 16 fork 7 starts with strategy
% 0.19/0.61 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.19/0.63
% 0.19/0.63
% 0.19/0.63 fork 0: search terminated without proof.
% 0.19/0.65
% 0.19/0.65 **** run 17 fork 0 starts with strategy
% 0.19/0.65 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.66
% 0.19/0.66
% 0.19/0.66 result: proof found
% 0.19/0.66 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.66 by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.66
% 0.19/0.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.67
% 0.19/0.67 run 6 fork 5 statistics:
% 0.19/0.67 ----------------------------------
% 0.19/0.67 this run seconds: 0.065686
% 0.19/0.67 total seconds: 0.107332
% 0.19/0.67 stat_given_used: 1501
% 0.19/0.67 stat_given_used_at_endgame: 0
% 0.19/0.67 stat_given_candidates: 2777
% 0.19/0.67 stat_given_candidates_at_endgame: 0
% 0.19/0.67 stat_given_candidates_h: 0
% 0.19/0.67 stat_binres_derived_cl: 1081
% 0.19/0.67 stat_binres_derived_cl_h: 0
% 0.19/0.67 stat_factor_derived_cl: 0
% 0.19/0.67 stat_para_derived_cl: 1574
% 0.19/0.67 stat_tautologies_discarded: 0
% 0.19/0.67 stat_forward_subsumed: 1625
% 0.19/0.67 stat_derived_cut: 590
% 0.19/0.67 stat_derived_rewritten: 495
% 0.19/0.67 stat_weight_discarded_building: 0
% 0.19/0.67 stat_weight_discarded_cl: 9
% 0.19/0.67 stat_internlimit_discarded_cl: 0
% 0.19/0.67 stat_simplified: 761 simplified 0 derived 0 given
% 0.19/0.67 stat_kept_cl: 970
% 0.19/0.67 stat_built_cl: 4742
% 0.19/0.67 stat_hyperres_partial_cl: 0
% 0.19/0.67 stat_made_rewriters: 25
% 0.19/0.67 stat_backward_subsumed: 0
% 0.19/0.67 stat_propagated_subsumed: 0
% 0.19/0.67 stat_clsubs_attempted: 2234
% 0.19/0.67 stat_clsubs_fact_groundunit_found: 4
% 0.19/0.67 stat_clsubs_rule_groundunit_found: 342
% 0.19/0.67 stat_clsubs_top_meta_attempted: 1036377
% 0.19/0.67 stat_clsubs_top_meta_failed: 1034143
% 0.19/0.67 stat_clsubs_top_meta_nonpref_attempted: 1036377
% 0.19/0.67 stat_clsubs_top_meta_nonpref_succeeded: 339933
% 0.19/0.67 stat_clsubs_top_meta_pref_attempted: 339933
% 0.19/0.67 stat_clsubs_top_meta_pref1_succeeded: 280478
% 0.19/0.67 stat_clsubs_top_meta_pref2_succeeded: 2479
% 0.19/0.67 stat_clsubs_top_meta_pref3_succeeded: 2234
% 0.19/0.67 stat_clsubs_top_meta_pref_succeeded: 2234
% 0.19/0.67 stat_clsubs_meta_attempted: 4395
% 0.19/0.67 stat_clsubs_meta_failed: 3654
% 0.19/0.67 stat_clsubs_predsymbs_attempted: 0
% 0.19/0.67 stat_clsubs_unit_attempted: 0
% 0.19/0.67 stat_clsubs_full_attempted: 2234
% 0.19/0.67 stat_forwardsubs_attempted: 2605
% 0.19/0.67 stat_lit_hash_added: 3257
% 0.19/0.67 stat_lit_hash_computed: 22212
% 0.19/0.67 stat_lit_hash_match_found: 3077
% 0.19/0.67 stat_lit_hash_match_miss: 19923
% 0.19/0.67 stat_lit_hash_cut_ok: 728
% 0.19/0.67 stat_lit_strong_cut_ok: 0
% 0.19/0.67 stat_lit_hash_subsume_ok: 1625
% 0.19/0.67 clqueue els 10000000 used 1
% 0.19/0.67 clactive els 10000000 used 1502
% 0.19/0.67 clactivesubsume els 10000000 used 6745
% 0.19/0.67 queue_termbuf els 200000000 used 81355
% 0.19/0.67 hyper_termbuf els 100000000 used 1
% 0.19/0.67 active_termbuf els 100000000 used 30557
% 0.19/0.67 varstack els 5000 last used 1
% 0.19/0.67 given_termbuf els 10000000 last used 1
% 0.19/0.67 simplified_termbuf els 10000000 last used 1
% 0.19/0.67 derived_termbuf els 10000000 last used 30
% 0.19/0.67 wr_mallocs: 13469
% 0.19/0.67 wr_callocs: 21
% 0.19/0.67 wr_reallocs: 886
% 0.19/0.67 wr_frees: 4
% 0.19/0.67 wr_malloc_bytes: 4163048612
% 0.19/0.67 wr_calloc_bytes: 112065536
% 0.19/0.67 wr_realloc_bytes: 226304
% 0.19/0.67 wr_realloc_freebytes: 0
% 0.19/0.67 ----------------------------------
%------------------------------------------------------------------------------