TSTP Solution File: ALG090+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG090+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n015.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 16:27:47 EDT 2023
% Result : Theorem 0.13s 0.48s
% Output : CNFRefutation 0.13s
% 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,e4) != e4
& op(e3,e3) != e4
& op(e2,e2) != e4
& op(e1,e1) != e4
& op(e0,e0) != e4 )
| ( op(e4,e4) != e3
& op(e3,e3) != e3
& op(e2,e2) != e3
& op(e1,e1) != e3
& op(e0,e0) != e3 )
| ( op(e4,e4) != e2
& op(e3,e3) != e2
& op(e2,e2) != e2
& op(e1,e1) != e2
& op(e0,e0) != e2 )
| ( op(e4,e4) != e1
& op(e3,e3) != e1
& op(e2,e2) != e1
& op(e1,e1) != e1
& op(e0,e0) != e1 )
| ( op(e4,e4) != e0
& op(e3,e3) != e0
& op(e2,e2) != e0
& op(e1,e1) != e0
& op(e0,e0) != e0 ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = 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('ax2_$sk',plain,
( op(e4,e4) = e2
& op(e4,e3) = e0
& op(e4,e2) = e1
& op(e4,e1) = e3
& op(e4,e0) = e4
& op(e3,e4) = e0
& op(e3,e3) = e1
& op(e3,e2) = e4
& op(e3,e1) = e2
& op(e3,e0) = e3
& op(e2,e4) = e1
& op(e2,e3) = e4
& op(e2,e2) = e3
& op(e2,e1) = e0
& op(e2,e0) = e2
& op(e1,e4) = e3
& op(e1,e3) = e2
& op(e1,e2) = e0
& 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) = e0
& op(e1,e3) = e2
& op(e1,e4) = e3
& op(e2,e0) = e2
& op(e2,e1) = e0
& op(e2,e2) = e3
& op(e2,e3) = e4
& op(e2,e4) = e1
& op(e3,e0) = e3
& op(e3,e1) = e2
& op(e3,e2) = e4
& op(e3,e3) = e1
& op(e3,e4) = e0
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e0
& op(e4,e4) = e2 ),
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 ).
fof(ax3,axiom,
unit = e0,
input ).
cnf('1',plain,
( op(e0,e2) != e2
| ~ $pr($df188)
| $pr($df180)
| $pr($df179) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
op(e0,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('3',plain,
( ~ $pr($df188)
| $pr($df180)
| $pr($df179) ),
inference(simplify,[],['1','2']) ).
cnf('4',plain,
( op(e1,e0) != e1
| ~ $pr($df179) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('5',plain,
op(e1,e0) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('6',plain,
~ $pr($df179),
inference(simplify,[],['4','5']) ).
cnf('7',plain,
( ~ $pr($df188)
| $pr($df180) ),
inference(resolution,[],['3','6']) ).
cnf('8',plain,
( op(e0,e4) != e4
| ~ $pr($df204)
| $pr($df196)
| $pr($df195) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('9',plain,
op(e0,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('10',plain,
( ~ $pr($df204)
| $pr($df196)
| $pr($df195) ),
inference(simplify,[],['8','9']) ).
cnf('11',plain,
( op(e3,e0) != e3
| ~ $pr($df195) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('12',plain,
op(e3,e0) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('13',plain,
~ $pr($df195),
inference(simplify,[],['11','12']) ).
cnf('14',plain,
( ~ $pr($df204)
| $pr($df196) ),
inference(resolution,[],['10','13']) ).
cnf('15',plain,
( op(e1,e2) != e0
| ~ $pr($df212)
| $pr($df204)
| $pr($df203) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('16',plain,
op(e1,e2) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('17',plain,
( ~ $pr($df212)
| $pr($df204)
| $pr($df203) ),
inference(simplify,[],['15','16']) ).
cnf('18',plain,
( op(e4,e0) != e4
| ~ $pr($df203) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('19',plain,
op(e4,e0) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('20',plain,
~ $pr($df203),
inference(simplify,[],['18','19']) ).
cnf('21',plain,
( ~ $pr($df212)
| $pr($df204) ),
inference(resolution,[],['17','20']) ).
cnf('22',plain,
( op(e1,e0) != e1
| ~ $pr($df220)
| $pr($df212)
| $pr($df211) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('23',plain,
( ~ $pr($df220)
| $pr($df212)
| $pr($df211) ),
inference(simplify,[],['22','5']) ).
cnf('24',plain,
( op(e2,e1) != e0
| ~ $pr($df211) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('25',plain,
op(e2,e1) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('26',plain,
~ $pr($df211),
inference(simplify,[],['24','25']) ).
cnf('27',plain,
( ~ $pr($df220)
| $pr($df212) ),
inference(resolution,[],['23','26']) ).
cnf('28',plain,
( op(e3,e0) != e3
| ~ $pr($df316)
| $pr($df308)
| $pr($df307) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('29',plain,
( ~ $pr($df316)
| $pr($df308)
| $pr($df307) ),
inference(simplify,[],['28','12']) ).
cnf('30',plain,
( op(e1,e3) != e2
| ~ $pr($df307) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('31',plain,
op(e1,e3) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('32',plain,
~ $pr($df307),
inference(simplify,[],['30','31']) ).
cnf('33',plain,
( ~ $pr($df316)
| $pr($df308) ),
inference(resolution,[],['29','32']) ).
cnf('34',plain,
( op(e3,e2) != e4
| ~ $pr($df324)
| $pr($df316)
| $pr($df315) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('35',plain,
op(e3,e2) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('36',plain,
( ~ $pr($df324)
| $pr($df316)
| $pr($df315) ),
inference(simplify,[],['34','35']) ).
cnf('37',plain,
( op(e0,e3) != e3
| ~ $pr($df315) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('38',plain,
op(e0,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('39',plain,
~ $pr($df315),
inference(simplify,[],['37','38']) ).
cnf('40',plain,
( ~ $pr($df324)
| $pr($df316) ),
inference(resolution,[],['36','39']) ).
cnf('41',plain,
( op(e4,e4) != e2
| ~ $pr($df348)
| $pr($df340)
| $pr($df339) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('42',plain,
op(e4,e4) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('43',plain,
( ~ $pr($df348)
| $pr($df340)
| $pr($df339) ),
inference(simplify,[],['41','42']) ).
cnf('44',plain,
( op(e2,e4) != e1
| ~ $pr($df339) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('45',plain,
op(e2,e4) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('46',plain,
~ $pr($df339),
inference(simplify,[],['44','45']) ).
cnf('47',plain,
( ~ $pr($df348)
| $pr($df340) ),
inference(resolution,[],['43','46']) ).
cnf('48',plain,
( op(e4,e1) != e3
| ~ $pr($df356)
| $pr($df348)
| $pr($df347) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('49',plain,
op(e4,e1) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('50',plain,
( op(e4,e0) != e4
| ~ $pr($df364)
| $pr($df356)
| $pr($df355) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('51',plain,
( op(e0,e4) != e4
| ~ $pr($df363) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('52',plain,
~ $pr($df363),
inference(simplify,[],['51','9']) ).
cnf('53',plain,
( $pr($df364)
| $pr($df363) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('54',plain,
$pr($df364),
inference(resolution,[],['52','53']) ).
cnf('55',plain,
( $pr($df356)
| $pr($df355) ),
inference(simplify,[then_simplify],['50','19','54']) ).
cnf('56',plain,
( op(e1,e4) != e3
| ~ $pr($df355) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('57',plain,
op(e1,e4) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('58',plain,
~ $pr($df355),
inference(simplify,[],['56','57']) ).
cnf('59',plain,
$pr($df356),
inference(resolution,[],['55','58']) ).
cnf('60',plain,
( $pr($df348)
| $pr($df347) ),
inference(simplify,[then_simplify],['48','49','59']) ).
cnf('61',plain,
( op(e4,e4) != e2
| ~ $pr($df347) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('62',plain,
~ $pr($df347),
inference(simplify,[],['61','42']) ).
cnf('63',plain,
$pr($df348),
inference(resolution,[],['60','62']) ).
cnf('64',plain,
$pr($df340),
inference(simplify,[],['47','63']) ).
cnf('65',plain,
( op(e4,e2) != e1
| ~ $pr($df340)
| $pr($df332)
| $pr($df331) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('66',plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('67',plain,
( ~ $pr($df340)
| $pr($df332)
| $pr($df331) ),
inference(simplify,[],['65','66']) ).
cnf('68',plain,
( op(e3,e4) != e0
| ~ $pr($df331) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('69',plain,
op(e3,e4) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('70',plain,
~ $pr($df331),
inference(simplify,[],['68','69']) ).
cnf('71',plain,
( ~ $pr($df340)
| $pr($df332) ),
inference(resolution,[],['67','70']) ).
cnf('72',plain,
$pr($df332),
inference(resolution,[],['64','71']) ).
cnf('73',plain,
( op(e4,e3) != e0
| ~ $pr($df332)
| $pr($df324)
| $pr($df323) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('74',plain,
op(e4,e3) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('75',plain,
( ~ $pr($df332)
| $pr($df324)
| $pr($df323) ),
inference(simplify,[],['73','74']) ).
cnf('76',plain,
( op(e2,e3) != e4
| ~ $pr($df323) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('77',plain,
op(e2,e3) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('78',plain,
~ $pr($df323),
inference(simplify,[],['76','77']) ).
cnf('79',plain,
( ~ $pr($df332)
| $pr($df324) ),
inference(resolution,[],['75','78']) ).
cnf('80',plain,
$pr($df324),
inference(resolution,[],['72','79']) ).
cnf('81',plain,
$pr($df316),
inference(simplify,[],['40','80']) ).
cnf('82',plain,
( ~ $pr($df316)
| $pr($df329)
| $pr($df326)
| $pr($df325) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('83',plain,
( ~ $pr($df326)
| ~ $pr($df316) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('84',plain,
( ~ $pr($df316)
| $pr($df329)
| $pr($df325) ),
inference(simplify,[],['82','83']) ).
cnf('85',plain,
op(e3,e0) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('86',plain,
( ~ $pr($df325)
| op(e3,e0) = e4 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('87',plain,
e3 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('88',plain,
~ $pr($df325),
inference(paramodulation,[then_simplify],['85','86','87']) ).
cnf('89',plain,
$pr($df329),
inference(resolution,[then_simplify],['81','84','88']) ).
cnf('90',plain,
( ~ $pr($df329)
| $pr($df316) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('91',plain,
$pr($df316),
inference(resolution,[],['89','90']) ).
cnf('92',plain,
$pr($df308),
inference(simplify,[],['33','91']) ).
cnf('93',plain,
( op(e3,e1) != e2
| ~ $pr($df308)
| $pr($df300)
| $pr($df299) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('94',plain,
op(e3,e1) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('95',plain,
( ~ $pr($df308)
| $pr($df300)
| $pr($df299) ),
inference(simplify,[],['93','94']) ).
cnf('96',plain,
( op(e3,e3) != e1
| ~ $pr($df299) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('97',plain,
op(e3,e3) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('98',plain,
~ $pr($df299),
inference(simplify,[],['96','97']) ).
cnf('99',plain,
( ~ $pr($df308)
| $pr($df300) ),
inference(resolution,[],['95','98']) ).
cnf('100',plain,
$pr($df300),
inference(resolution,[],['92','99']) ).
cnf('101',plain,
( op(e3,e3) != e1
| ~ $pr($df300)
| $pr($df292)
| $pr($df291) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('102',plain,
( ~ $pr($df300)
| $pr($df292)
| $pr($df291) ),
inference(simplify,[],['101','97']) ).
cnf('103',plain,
( op(e4,e3) != e0
| ~ $pr($df291) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('104',plain,
~ $pr($df291),
inference(simplify,[],['103','74']) ).
cnf('105',plain,
( ~ $pr($df300)
| $pr($df292) ),
inference(resolution,[],['102','104']) ).
cnf('106',plain,
$pr($df292),
inference(resolution,[],['100','105']) ).
cnf('107',plain,
( op(e3,e4) != e0
| ~ $pr($df292)
| $pr($df284)
| $pr($df283) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('108',plain,
( ~ $pr($df292)
| $pr($df284)
| $pr($df283) ),
inference(simplify,[],['107','69']) ).
cnf('109',plain,
( op(e3,e2) != e4
| ~ $pr($df283) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('110',plain,
~ $pr($df283),
inference(simplify,[],['109','35']) ).
cnf('111',plain,
( ~ $pr($df292)
| $pr($df284) ),
inference(resolution,[],['108','110']) ).
cnf('112',plain,
$pr($df284),
inference(resolution,[],['106','111']) ).
cnf('113',plain,
( op(e2,e3) != e4
| ~ $pr($df284)
| $pr($df276)
| $pr($df275) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('114',plain,
( ~ $pr($df284)
| $pr($df276)
| $pr($df275) ),
inference(simplify,[],['113','77']) ).
cnf('115',plain,
( op(e2,e2) != e3
| ~ $pr($df275) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('116',plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('117',plain,
~ $pr($df275),
inference(simplify,[],['115','116']) ).
cnf('118',plain,
( ~ $pr($df284)
| $pr($df276) ),
inference(resolution,[],['114','117']) ).
cnf('119',plain,
$pr($df276),
inference(resolution,[],['112','118']) ).
cnf('120',plain,
( op(e2,e2) != e3
| ~ $pr($df276)
| $pr($df268)
| $pr($df267) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('121',plain,
( ~ $pr($df276)
| $pr($df268)
| $pr($df267) ),
inference(simplify,[],['120','116']) ).
cnf('122',plain,
( op(e0,e2) != e2
| ~ $pr($df267) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('123',plain,
~ $pr($df267),
inference(simplify,[],['122','2']) ).
cnf('124',plain,
( ~ $pr($df276)
| $pr($df268) ),
inference(resolution,[],['121','123']) ).
cnf('125',plain,
$pr($df268),
inference(resolution,[],['119','124']) ).
cnf('126',plain,
( op(e2,e0) != e2
| ~ $pr($df268)
| $pr($df259)
| $pr($df260) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('127',plain,
op(e2,e0) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('128',plain,
( ~ $pr($df268)
| $pr($df259)
| $pr($df260) ),
inference(simplify,[],['126','127']) ).
cnf('129',plain,
( op(e4,e2) != e1
| ~ $pr($df259) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('130',plain,
~ $pr($df259),
inference(simplify,[],['129','66']) ).
cnf('131',plain,
( ~ $pr($df268)
| $pr($df260) ),
inference(resolution,[],['128','130']) ).
cnf('132',plain,
$pr($df260),
inference(resolution,[],['125','131']) ).
cnf('133',plain,
( op(e2,e4) != e1
| ~ $pr($df260)
| $pr($df252)
| $pr($df251) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('134',plain,
( ~ $pr($df260)
| $pr($df252)
| $pr($df251) ),
inference(simplify,[],['133','45']) ).
cnf('135',plain,
( op(e1,e2) != e0
| ~ $pr($df251) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('136',plain,
~ $pr($df251),
inference(simplify,[],['135','16']) ).
cnf('137',plain,
( ~ $pr($df260)
| $pr($df252) ),
inference(resolution,[],['134','136']) ).
cnf('138',plain,
$pr($df252),
inference(resolution,[],['132','137']) ).
cnf('139',plain,
( op(e2,e1) != e0
| ~ $pr($df252)
| $pr($df244)
| $pr($df243) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('140',plain,
( ~ $pr($df252)
| $pr($df244)
| $pr($df243) ),
inference(simplify,[],['139','25']) ).
cnf('141',plain,
( op(e1,e1) != e4
| ~ $pr($df243) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('142',plain,
op(e1,e1) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('143',plain,
~ $pr($df243),
inference(simplify,[],['141','142']) ).
cnf('144',plain,
( ~ $pr($df252)
| $pr($df244) ),
inference(resolution,[],['140','143']) ).
cnf('145',plain,
$pr($df244),
inference(resolution,[],['138','144']) ).
cnf('146',plain,
( op(e1,e1) != e4
| ~ $pr($df244)
| $pr($df236)
| $pr($df235) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('147',plain,
( ~ $pr($df244)
| $pr($df236)
| $pr($df235) ),
inference(simplify,[],['146','142']) ).
cnf('148',plain,
( op(e4,e1) != e3
| ~ $pr($df235) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('149',plain,
~ $pr($df235),
inference(simplify,[],['148','49']) ).
cnf('150',plain,
( ~ $pr($df244)
| $pr($df236) ),
inference(resolution,[],['147','149']) ).
cnf('151',plain,
$pr($df236),
inference(resolution,[],['145','150']) ).
cnf('152',plain,
( op(e1,e4) != e3
| ~ $pr($df236)
| $pr($df228)
| $pr($df227) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('153',plain,
( ~ $pr($df236)
| $pr($df228)
| $pr($df227) ),
inference(simplify,[],['152','57']) ).
cnf('154',plain,
( op(e3,e1) != e2
| ~ $pr($df227) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('155',plain,
~ $pr($df227),
inference(simplify,[],['154','94']) ).
cnf('156',plain,
( ~ $pr($df236)
| $pr($df228) ),
inference(resolution,[],['153','155']) ).
cnf('157',plain,
$pr($df228),
inference(resolution,[],['151','156']) ).
cnf('158',plain,
( op(e1,e3) != e2
| ~ $pr($df228)
| $pr($df220)
| $pr($df219) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('159',plain,
( ~ $pr($df228)
| $pr($df220)
| $pr($df219) ),
inference(simplify,[],['158','31']) ).
cnf('160',plain,
( op(e0,e1) != e1
| ~ $pr($df219) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('161',plain,
op(e0,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('162',plain,
~ $pr($df219),
inference(simplify,[],['160','161']) ).
cnf('163',plain,
( ~ $pr($df228)
| $pr($df220) ),
inference(resolution,[],['159','162']) ).
cnf('164',plain,
$pr($df220),
inference(resolution,[],['157','163']) ).
cnf('165',plain,
$pr($df212),
inference(simplify,[],['27','164']) ).
cnf('166',plain,
$pr($df204),
inference(resolution,[],['21','165']) ).
cnf('167',plain,
$pr($df196),
inference(simplify,[],['14','166']) ).
cnf('168',plain,
( op(e0,e3) != e3
| ~ $pr($df196)
| $pr($df188)
| $pr($df187) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('169',plain,
( ~ $pr($df196)
| $pr($df188)
| $pr($df187) ),
inference(simplify,[],['168','38']) ).
cnf('170',plain,
( op(e2,e0) != e2
| ~ $pr($df187) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('171',plain,
~ $pr($df187),
inference(simplify,[],['170','127']) ).
cnf('172',plain,
( ~ $pr($df196)
| $pr($df188) ),
inference(resolution,[],['169','171']) ).
cnf('173',plain,
$pr($df188),
inference(resolution,[],['167','172']) ).
cnf('174',plain,
$pr($df180),
inference(simplify,[],['7','173']) ).
cnf('175',plain,
( op(e0,e1) != e1
| ~ $pr($df180)
| $pr($df172)
| $pr($df171) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('176',plain,
( ~ $pr($df180)
| $pr($df172)
| $pr($df171) ),
inference(simplify,[],['175','161']) ).
cnf('177',plain,
( op(e0,e0) != e0
| ~ $pr($df171) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('178',plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('179',plain,
~ $pr($df171),
inference(simplify,[],['177','178']) ).
cnf('180',plain,
( ~ $pr($df180)
| $pr($df172) ),
inference(resolution,[],['176','179']) ).
cnf('181',plain,
$pr($df172),
inference(resolution,[],['174','180']) ).
cnf('182',plain,
( op(e0,e0) != e0
| ~ $pr($df172)
| $pr($df144)
| $pr($df143) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('183',plain,
( ~ $pr($df172)
| $pr($df144)
| $pr($df143) ),
inference(simplify,[],['182','178']) ).
cnf('184',plain,
( unit != e0
| ~ $pr($df143) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('185',plain,
unit = e0,
inference(cnf_transformation,[],[ax3]) ).
cnf('186',plain,
~ $pr($df143),
inference(simplify,[],['184','185']) ).
cnf('187',plain,
( ~ $pr($df172)
| $pr($df144) ),
inference(resolution,[],['183','186']) ).
cnf('188',plain,
$pr($df144),
inference(resolution,[],['181','187']) ).
cnf('189',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
| op(e4,e4) != e2
| ~ $pr($df144)
| $pr($df136)
| $pr($df135) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('190',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
| ~ $pr($df144)
| $pr($df136)
| $pr($df135) ),
inference(simplify,[],['189','42']) ).
cnf('191',plain,
unit = e0,
inference(cnf_transformation,[],[ax3]) ).
cnf('192',plain,
op(e0,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('193',plain,
op(unit,e4) = e4,
inference(paramodulation,[],['191','192']) ).
cnf('194',plain,
op(e4,e0) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('195',plain,
op(e4,unit) = e4,
inference(paramodulation,[],['191','194']) ).
cnf('196',plain,
op(e0,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('197',plain,
op(unit,e3) = e3,
inference(paramodulation,[],['191','196']) ).
cnf('198',plain,
op(e3,unit) = e3,
inference(paramodulation,[],['191','85']) ).
cnf('199',plain,
op(e0,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('200',plain,
op(unit,e2) = e2,
inference(paramodulation,[],['191','199']) ).
cnf('201',plain,
op(e2,e0) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('202',plain,
op(e2,unit) = e2,
inference(paramodulation,[],['191','201']) ).
cnf('203',plain,
op(e0,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('204',plain,
op(unit,e1) = e1,
inference(paramodulation,[],['191','203']) ).
cnf('205',plain,
op(e1,e0) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('206',plain,
op(e1,unit) = e1,
inference(paramodulation,[],['191','205']) ).
cnf('207',plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('208',plain,
op(unit,e0) = e0,
inference(paramodulation,[],['191','207']) ).
cnf('209',plain,
op(e0,unit) = e0,
inference(paramodulation,[],['191','207']) ).
cnf('210',plain,
( op(e2,e2) != e3
| ~ $pr($df96)
| $pr($df88)
| $pr($df87) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('211',plain,
( ~ $pr($df96)
| $pr($df88)
| $pr($df87) ),
inference(simplify,[],['210','116']) ).
cnf('212',plain,
( op(e2,e1) != e0
| ~ $pr($df87) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('213',plain,
~ $pr($df87),
inference(simplify,[],['212','25']) ).
cnf('214',plain,
( ~ $pr($df96)
| $pr($df88) ),
inference(resolution,[],['211','213']) ).
cnf('215',plain,
( op(e2,e0) != e2
| ~ $pr($df88)
| $pr($df80)
| $pr($df79) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('216',plain,
( ~ $pr($df88)
| $pr($df80)
| $pr($df79) ),
inference(simplify,[],['215','127']) ).
cnf('217',plain,
( op(e1,e4) != e3
| ~ $pr($df79) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('218',plain,
~ $pr($df79),
inference(simplify,[],['217','57']) ).
cnf('219',plain,
( ~ $pr($df88)
| $pr($df80) ),
inference(resolution,[],['216','218']) ).
cnf('220',plain,
( op(e0,e4) != e4
| ~ $pr($df64)
| $pr($df56)
| $pr($df55) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('221',plain,
( ~ $pr($df64)
| $pr($df56)
| $pr($df55) ),
inference(simplify,[],['220','9']) ).
cnf('222',plain,
( op(e0,e3) != e3
| ~ $pr($df55) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('223',plain,
~ $pr($df55),
inference(simplify,[],['222','38']) ).
cnf('224',plain,
( ~ $pr($df64)
| $pr($df56) ),
inference(resolution,[],['221','223']) ).
cnf('225',plain,
( op(e0,e0) != e0
| ~ $pr($df48)
| $pr($df39)
| $pr($df40) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('226',plain,
( ~ $pr($df48)
| $pr($df39)
| $pr($df40) ),
inference(simplify,[],['225','178']) ).
cnf('227',plain,
( op(e1,e1) != e4
| ~ $pr($df39) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('228',plain,
~ $pr($df39),
inference(simplify,[],['227','142']) ).
cnf('229',plain,
( ~ $pr($df48)
| $pr($df40) ),
inference(resolution,[],['226','228']) ).
cnf('230',plain,
( op(e2,e2) != e3
| ~ $pr($df40)
| $pr($df1)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('231',plain,
( ~ $pr($df40)
| $pr($df1)
| $pr($df2) ),
inference(simplify,[],['230','116']) ).
cnf('232',plain,
( op(e4,e4) != e2
| ~ $pr($df1) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('233',plain,
~ $pr($df1),
inference(simplify,[],['232','42']) ).
cnf('234',plain,
( ~ $pr($df40)
| $pr($df2) ),
inference(resolution,[],['231','233']) ).
cnf('235',plain,
( op(e3,e3) != e1
| op(e0,e0) != e0
| ~ $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('236',plain,
~ $pr($df2),
inference(simplify,[then_simplify],['235','97','178']) ).
cnf('237',plain,
( ~ $pr($df45)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('238',plain,
~ $pr($df45),
inference(resolution,[],['236','237']) ).
cnf('239',plain,
( ~ $pr($df2)
| $pr($df45)
| $pr($df42)
| $pr($df41) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('240',plain,
( ~ $pr($df2)
| ~ $pr($df42) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('241',plain,
( ~ $pr($df2)
| $pr($df45)
| $pr($df41) ),
inference(simplify,[],['239','240']) ).
cnf('242',plain,
( ~ $pr($df41)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('243',plain,
e0 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('244',plain,
~ $pr($df41),
inference(paramodulation,[then_simplify],['207','242','243']) ).
cnf('245',plain,
~ $pr($df2),
inference(resolution,[then_simplify],['238','241','244']) ).
cnf('246',plain,
~ $pr($df40),
inference(simplify,[],['234','245']) ).
cnf('247',plain,
( op(e0,e0) != e0
| $pr($df39)
| $pr($df49)
| $pr($df40) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('248',plain,
( $pr($df39)
| $pr($df49)
| $pr($df40) ),
inference(simplify,[],['247','178']) ).
cnf('249',plain,
( $pr($df49)
| $pr($df40) ),
inference(resolution,[],['248','228']) ).
cnf('250',plain,
$pr($df49),
inference(resolution,[],['246','249']) ).
cnf('251',plain,
( ~ $pr($df49)
| ~ $pr($df40) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('252',plain,
~ $pr($df40),
inference(resolution,[],['250','251']) ).
cnf('253',plain,
~ $pr($df48),
inference(simplify,[],['229','252']) ).
cnf('254',plain,
( op(e0,e2) != e2
| ~ $pr($df56)
| $pr($df48)
| $pr($df47) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('255',plain,
( ~ $pr($df56)
| $pr($df48)
| $pr($df47) ),
inference(simplify,[],['254','2']) ).
cnf('256',plain,
( op(e0,e1) != e1
| ~ $pr($df47) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('257',plain,
~ $pr($df47),
inference(simplify,[],['256','161']) ).
cnf('258',plain,
( ~ $pr($df56)
| $pr($df48) ),
inference(resolution,[],['255','257']) ).
cnf('259',plain,
~ $pr($df56),
inference(resolution,[],['253','258']) ).
cnf('260',plain,
~ $pr($df64),
inference(simplify,[],['224','259']) ).
cnf('261',plain,
( op(e1,e1) != e4
| ~ $pr($df72)
| $pr($df64)
| $pr($df63) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('262',plain,
( ~ $pr($df72)
| $pr($df64)
| $pr($df63) ),
inference(simplify,[],['261','142']) ).
cnf('263',plain,
( op(e1,e0) != e1
| ~ $pr($df63) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('264',plain,
~ $pr($df63),
inference(simplify,[],['263','5']) ).
cnf('265',plain,
( ~ $pr($df72)
| $pr($df64) ),
inference(resolution,[],['262','264']) ).
cnf('266',plain,
~ $pr($df72),
inference(resolution,[],['260','265']) ).
cnf('267',plain,
( op(e1,e3) != e2
| ~ $pr($df80)
| $pr($df72)
| $pr($df71) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('268',plain,
( ~ $pr($df80)
| $pr($df72)
| $pr($df71) ),
inference(simplify,[],['267','31']) ).
cnf('269',plain,
( op(e1,e2) != e0
| ~ $pr($df71) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('270',plain,
~ $pr($df71),
inference(simplify,[],['269','16']) ).
cnf('271',plain,
( ~ $pr($df80)
| $pr($df72) ),
inference(resolution,[],['268','270']) ).
cnf('272',plain,
~ $pr($df80),
inference(resolution,[],['266','271']) ).
cnf('273',plain,
~ $pr($df88),
inference(simplify,[],['219','272']) ).
cnf('274',plain,
( ~ $pr($df101)
| $pr($df88) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('275',plain,
~ $pr($df101),
inference(resolution,[],['273','274']) ).
cnf('276',plain,
( ~ $pr($df88)
| $pr($df98)
| $pr($df97)
| $pr($df101) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('277',plain,
( ~ $pr($df98)
| ~ $pr($df88) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('278',plain,
( ~ $pr($df88)
| $pr($df97)
| $pr($df101) ),
inference(simplify,[],['276','277']) ).
cnf('279',plain,
( ~ $pr($df97)
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('280',plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('281',plain,
~ $pr($df97),
inference(paramodulation,[then_simplify],['279','280','243']) ).
cnf('282',plain,
~ $pr($df88),
inference(resolution,[then_simplify],['275','278','281']) ).
cnf('283',plain,
~ $pr($df96),
inference(simplify,[],['214','282']) ).
cnf('284',plain,
( op(e2,e4) != e1
| ~ $pr($df104)
| $pr($df96)
| $pr($df95) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('285',plain,
( ~ $pr($df104)
| $pr($df96)
| $pr($df95) ),
inference(simplify,[],['284','45']) ).
cnf('286',plain,
( op(e2,e3) != e4
| ~ $pr($df95) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('287',plain,
~ $pr($df95),
inference(simplify,[],['286','77']) ).
cnf('288',plain,
( ~ $pr($df104)
| $pr($df96) ),
inference(resolution,[],['285','287']) ).
cnf('289',plain,
~ $pr($df104),
inference(resolution,[],['283','288']) ).
cnf('290',plain,
( op(e3,e1) != e2
| ~ $pr($df112)
| $pr($df104)
| $pr($df103) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('291',plain,
( ~ $pr($df112)
| $pr($df104)
| $pr($df103) ),
inference(simplify,[],['290','94']) ).
cnf('292',plain,
( op(e3,e0) != e3
| ~ $pr($df103) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('293',plain,
~ $pr($df103),
inference(simplify,[],['292','12']) ).
cnf('294',plain,
( ~ $pr($df112)
| $pr($df104) ),
inference(resolution,[],['291','293']) ).
cnf('295',plain,
~ $pr($df112),
inference(resolution,[],['289','294']) ).
cnf('296',plain,
( op(e3,e3) != e1
| ~ $pr($df120)
| $pr($df112)
| $pr($df111) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('297',plain,
( ~ $pr($df120)
| $pr($df112)
| $pr($df111) ),
inference(simplify,[],['296','97']) ).
cnf('298',plain,
( op(e3,e2) != e4
| ~ $pr($df111) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('299',plain,
~ $pr($df111),
inference(simplify,[],['298','35']) ).
cnf('300',plain,
( ~ $pr($df120)
| $pr($df112) ),
inference(resolution,[],['297','299']) ).
cnf('301',plain,
~ $pr($df120),
inference(resolution,[],['295','300']) ).
cnf('302',plain,
( op(e4,e0) != e4
| ~ $pr($df128)
| $pr($df120)
| $pr($df119) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('303',plain,
( ~ $pr($df128)
| $pr($df120)
| $pr($df119) ),
inference(simplify,[],['302','19']) ).
cnf('304',plain,
( op(e3,e4) != e0
| ~ $pr($df119) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('305',plain,
~ $pr($df119),
inference(simplify,[],['304','69']) ).
cnf('306',plain,
( ~ $pr($df128)
| $pr($df120) ),
inference(resolution,[],['303','305']) ).
cnf('307',plain,
~ $pr($df128),
inference(resolution,[],['301','306']) ).
cnf('308',plain,
( op(e4,e2) != e1
| ~ $pr($df136)
| $pr($df128)
| $pr($df127) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('309',plain,
( ~ $pr($df136)
| $pr($df128)
| $pr($df127) ),
inference(simplify,[],['308','66']) ).
cnf('310',plain,
( op(e4,e1) != e3
| ~ $pr($df127) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('311',plain,
~ $pr($df127),
inference(simplify,[],['310','49']) ).
cnf('312',plain,
( ~ $pr($df136)
| $pr($df128) ),
inference(resolution,[],['309','311']) ).
cnf('313',plain,
~ $pr($df136),
inference(resolution,[],['307','312']) ).
cnf('314',plain,
$pr($df135),
inference(resolution,[then_simplify],['188','190','193','195','197','198','200','202','204','206','208','209','313']) ).
cnf('315',plain,
( op(e4,e3) != e0
| ~ $pr($df135) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('316',plain,
~ $pr($df135),
inference(simplify,[],['315','74']) ).
cnf('317',plain,
$false,
inference(resolution,[],['314','316']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ALG090+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.09 % Command : gkc %s
% 0.08/0.28 % Computer : n015.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Aug 28 04:58:54 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.13/0.35
% 0.13/0.35 input clause set summed statistics:
% 0.13/0.35 ----------------------------------
% 0.13/0.35 in_clause_count: 1902
% 0.13/0.35 in_rule_clause_count: 1901
% 0.13/0.35 in_fact_clause_count: 1
% 0.13/0.35 in_answer_clause_count: 0
% 0.13/0.35 in_ground_clause_count: 1902
% 0.13/0.35 in_unit_clause_count: 36
% 0.13/0.35 in_horn_clause_count: 1023
% 0.13/0.35 in_pos_clause_count: 146
% 0.13/0.35 in_neg_clause_count: 708
% 0.13/0.35 in_poseq_clause_count: 383
% 0.13/0.35 in_negeq_clause_count: 626
% 0.13/0.35 in_unitposeq_clause_count: 26
% 0.13/0.35 in_chain_clause_count: 0
% 0.13/0.35 in_min_length: 1
% 0.13/0.35 in_max_length: 14
% 0.13/0.35 in_min_depth: 1
% 0.13/0.35 in_max_depth: 2
% 0.13/0.35 in_min_size: 3
% 0.13/0.35 in_max_size: 61
% 0.13/0.35 in_min_vars: 0
% 0.13/0.35 in_max_vars: 0
% 0.13/0.35 in_extaxiom_count: 0
% 0.13/0.35 in_axiom_count: 36
% 0.13/0.35 in_assumption_count: 0
% 0.13/0.35 in_goal_count: 1866
% 0.13/0.35 in_neg_goal_count: 698
% 0.13/0.35 in_pos_goal_count: 120
% 0.13/0.35 in_posunit_goal_count: 0
% 0.13/0.35
% 0.13/0.35 auto guide:
% 0.13/0.35 -----------
% 0.13/0.35 {
% 0.13/0.35 "print":1,
% 0.13/0.35 "print_level": 15,
% 0.13/0.35 "max_size": 0,
% 0.13/0.35 "max_depth": 0,
% 0.13/0.35 "max_length": 0,
% 0.13/0.35 "max_dseconds": 0,
% 0.13/0.35 "runs":[
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.13/0.35 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.13/0.35 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.13/0.35 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.35 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.13/0.35 {"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},
% 0.13/0.35 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.35 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.13/0.35 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.35 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.13/0.35 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.13/0.35 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.13/0.35 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.13/0.35 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.13/0.35 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.13/0.35
% 0.13/0.35 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.13/0.35 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.13/0.35 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.35 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
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% 0.13/0.35 {"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},
% 0.13/0.35 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
% 0.13/0.35 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":10},
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% 0.13/0.35 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.35 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
% 0.13/0.35 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":10},
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% 0.13/0.35 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.13/0.35 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":10},
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% 0.13/0.35 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
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% 0.13/0.35 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.13/0.35 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.13/0.35 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.13/0.35 {"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},
% 0.13/0.35 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.13/0.35 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
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% 0.13/0.35 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.13/0.35 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.13/0.35 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.13/0.35 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.13/0.35 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.13/0.35 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.13/0.35 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.13/0.35
% 0.13/0.35 {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.13/0.35 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.35 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
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% 0.13/0.35 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.13/0.35
% 0.13/0.35 {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.13/0.35 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.13/0.35 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.13/0.35 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1}
% 0.13/0.35
% 0.13/0.35 ]}
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 **** run 1 fork 0 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.13/0.35
% 0.13/0.35 **** run 2 fork 1 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.13/0.35
% 0.13/0.35 **** run 3 fork 2 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.13/0.35
% 0.13/0.35 **** run 4 fork 3 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.13/0.35
% 0.13/0.35 **** run 5 fork 4 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.13/0.35
% 0.13/0.35 **** run 6 fork 5 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.13/0.35
% 0.13/0.35 **** run 8 fork 7 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.13/0.35
% 0.13/0.35 **** run 7 fork 6 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.13/0.39
% 0.13/0.39 fork 0: search finished without proof.
% 0.13/0.41
% 0.13/0.41 **** run 9 fork 0 starts with strategy
% 0.13/0.41 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.13/0.48
% 0.13/0.48 fork 1: search finished without proof.
% 0.13/0.48
% 0.13/0.48 fork 3: search finished without proof.
% 0.13/0.48
% 0.13/0.48
% 0.13/0.48 result: proof found
% 0.13/0.48 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.48 by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.13/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.48
% 0.13/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.48
% 0.13/0.48 run 8 fork 7 statistics:
% 0.13/0.48 ----------------------------------
% 0.13/0.48
% 0.13/0.48 fork 6: search finished without proof.
% 0.13/0.48 this run seconds: 0.090078
% 0.13/0.48 total seconds: 0.125777
% 0.13/0.48 stat_given_used: 1871
% 0.13/0.48 stat_given_used_at_endgame: 0
% 0.13/0.48 stat_given_candidates: 2732
% 0.13/0.48 stat_given_candidates_at_endgame: 0
% 0.13/0.48 stat_given_candidates_h: 0
% 0.13/0.48 stat_binres_derived_cl: 1379
% 0.13/0.48 stat_binres_derived_cl_h: 0
% 0.13/0.48 stat_factor_derived_cl: 0
% 0.13/0.48 stat_para_derived_cl: 1227
% 0.13/0.48 stat_tautologies_discarded: 0
% 0.13/0.48 stat_forward_subsumed: 798
% 0.13/0.48 stat_derived_cut: 1172
% 0.13/0.48 stat_derived_rewritten: 1
% 0.13/0.48 stat_weight_discarded_building: 0
% 0.13/0.48 stat_weight_discarded_cl: 1156
% 0.13/0.48 stat_internlimit_discarded_cl: 0
% 0.13/0.48 stat_simplified: 549 simplified 0 derived 0 given
% 0.13/0.48 stat_kept_cl: 597
% 0.13/0.48 stat_built_cl: 6044
% 0.13/0.48 stat_hyperres_partial_cl: 0
% 0.13/0.48 stat_made_rewriters: 35
% 0.13/0.48 stat_backward_subsumed: 0
% 0.13/0.48 stat_propagated_subsumed: 0
% 0.13/0.48 stat_clsubs_attempted: 4274
% 0.13/0.48 stat_clsubs_fact_groundunit_found: 6
% 0.13/0.48 stat_clsubs_rule_groundunit_found: 271
% 0.13/0.48 stat_clsubs_top_meta_attempted: 1752804
% 0.13/0.48 stat_clsubs_top_meta_failed: 1748530
% 0.13/0.48 stat_clsubs_top_meta_nonpref_attempted: 1752804
% 0.13/0.48 stat_clsubs_top_meta_nonpref_succeeded: 644654
% 0.13/0.48 stat_clsubs_top_meta_pref_attempted: 644654
% 0.13/0.48 stat_clsubs_top_meta_pref1_succeeded: 473194
% 0.13/0.48 stat_clsubs_top_meta_pref2_succeeded: 7641
% 0.13/0.48 stat_clsubs_top_meta_pref3_succeeded: 4274
% 0.13/0.48 stat_clsubs_top_meta_pref_succeeded: 4274
% 0.13/0.48 stat_clsubs_meta_attempted: 10344
% 0.13/0.48 stat_clsubs_meta_failed: 9338
% 0.13/0.48 stat_clsubs_predsymbs_attempted: 0
% 0.13/0.48 stat_clsubs_unit_attempted: 0
% 0.13/0.48 stat_clsubs_full_attempted: 4274
% 0.13/0.48 stat_forwardsubs_attempted: 2551
% 0.13/0.48 stat_lit_hash_added: 3114
% 0.13/0.48 stat_lit_hash_computed: 29921
% 0.13/0.48 stat_lit_hash_match_found: 3262
% 0.13/0.48 stat_lit_hash_match_miss: 30487
% 0.13/0.48 stat_lit_hash_cut_ok: 2335
% 0.13/0.48 stat_lit_strong_cut_ok: 0
% 0.13/0.48 stat_lit_hash_subsume_ok: 798
% 0.13/0.48 clqueue els 10000000 used 1
% 0.13/0.48 clactive els 10000000 used 1872
% 0.13/0.48 clactivesubsume els 10000000 used 8905
% 0.13/0.48 queue_termbuf els 200000000 used 42115
% 0.13/0.48 hyper_termbuf els 100000000 used 1
% 0.13/0.48 active_termbuf els 100000000 used 46850
% 0.13/0.48 varstack els 5000 last used 1
% 0.13/0.48 given_termbuf els 10000000 last used 7
% 0.13/0.48 simplified_termbuf els 10000000 last used 1
% 0.13/0.48 derived_termbuf els 10000000 last used 5
% 0.13/0.48 wr_mallocs: 19728
% 0.13/0.48 wr_callocs: 21
% 0.13/0.48 wr_reallocs: 851
% 0.13/0.48 wr_frees: 4
% 0.13/0.48 wr_malloc_bytes: 4163248644
% 0.13/0.48 wr_calloc_bytes: 112065536
% 0.13/0.48 wr_realloc_bytes: 213120
% 0.13/0.48 wr_realloc_freebytes: 0
% 0.13/0.48 ----------------------------------
%------------------------------------------------------------------------------