TSTP Solution File: ALG095+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG095+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n016.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 16:27:49 EDT 2023
% Result : Theorem 0.20s 0.56s
% Output : CNFRefutation 0.20s
% 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(op(e4,e4),e4) = e4
| op(op(e4,e4),e4) != e4
| op(e4,e4) = op(e4,e4) )
& ( op(op(e4,e3),e4) = e3
| op(op(e4,e3),e3) != e4
| op(e3,e4) = op(e4,e3) )
& ( op(op(e4,e2),e4) = e2
| op(op(e4,e2),e2) != e4
| op(e2,e4) = op(e4,e2) )
& ( op(op(e4,e1),e4) = e1
| op(op(e4,e1),e1) != e4
| op(e1,e4) = op(e4,e1) )
& ( op(op(e4,e0),e4) = e0
| op(op(e4,e0),e0) != e4
| op(e0,e4) = op(e4,e0) )
& ( op(op(e3,e4),e3) = e4
| op(op(e3,e4),e4) != e3
| op(e4,e3) = op(e3,e4) )
& ( op(op(e3,e3),e3) = e3
| op(op(e3,e3),e3) != e3
| op(e3,e3) = op(e3,e3) )
& ( op(op(e3,e2),e3) = e2
| op(op(e3,e2),e2) != e3
| op(e2,e3) = op(e3,e2) )
& ( op(op(e3,e1),e3) = e1
| op(op(e3,e1),e1) != e3
| op(e1,e3) = op(e3,e1) )
& ( op(op(e3,e0),e3) = e0
| op(op(e3,e0),e0) != e3
| op(e0,e3) = op(e3,e0) )
& ( op(op(e2,e4),e2) = e4
| op(op(e2,e4),e4) != e2
| op(e4,e2) = op(e2,e4) )
& ( op(op(e2,e3),e2) = e3
| op(op(e2,e3),e3) != e2
| op(e3,e2) = op(e2,e3) )
& ( op(op(e2,e2),e2) = e2
| op(op(e2,e2),e2) != e2
| op(e2,e2) = op(e2,e2) )
& ( op(op(e2,e1),e2) = e1
| op(op(e2,e1),e1) != e2
| op(e1,e2) = op(e2,e1) )
& ( op(op(e2,e0),e2) = e0
| op(op(e2,e0),e0) != e2
| op(e0,e2) = op(e2,e0) )
& ( op(op(e1,e4),e1) = e4
| op(op(e1,e4),e4) != e1
| op(e4,e1) = op(e1,e4) )
& ( op(op(e1,e3),e1) = e3
| op(op(e1,e3),e3) != e1
| op(e3,e1) = op(e1,e3) )
& ( op(op(e1,e2),e1) = e2
| op(op(e1,e2),e2) != e1
| op(e2,e1) = op(e1,e2) )
& ( op(op(e1,e1),e1) = e1
| op(op(e1,e1),e1) != e1
| op(e1,e1) = op(e1,e1) )
& ( op(op(e1,e0),e1) = e0
| op(op(e1,e0),e0) != e1
| op(e0,e1) = op(e1,e0) )
& ( op(op(e0,e4),e0) = e4
| op(op(e0,e4),e4) != e0
| op(e4,e0) = op(e0,e4) )
& ( op(op(e0,e3),e0) = e3
| op(op(e0,e3),e3) != e0
| op(e3,e0) = op(e0,e3) )
& ( op(op(e0,e2),e0) = e2
| op(op(e0,e2),e2) != e0
| op(e2,e0) = op(e0,e2) )
& ( op(op(e0,e1),e0) = e1
| op(op(e0,e1),e1) != e0
| op(e1,e0) = op(e0,e1) )
& ( op(op(e0,e0),e0) = e0
| op(op(e0,e0),e0) != e0
| op(e0,e0) = op(e0,e0) ) ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
( ( ( op(e0,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = 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(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 )
& ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2
| op(e4,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 )
& ( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 )
& ( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2
| op(e1,e4) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3
| op(e1,e4) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3
| op(e4,e1) = e3 )
& ( op(e1,e0) = e4
| op(e1,e1) = e4
| op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e4) = e4 )
& ( op(e0,e1) = e4
| op(e1,e1) = e4
| op(e2,e1) = e4
| op(e3,e1) = e4
| op(e4,e1) = e4 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2
| op(e2,e4) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2
| op(e4,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3
| op(e2,e4) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 )
& ( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 )
& ( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1
| op(e3,e4) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3
| op(e3,e4) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3
| op(e4,e3) = e3 )
& ( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 )
& ( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 )
& ( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 )
& ( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e4) = e1
| op(e1,e4) = e1
| op(e2,e4) = e1
| op(e3,e4) = e1
| op(e4,e4) = e1 )
& ( op(e4,e0) = e2
| op(e4,e1) = e2
| op(e4,e2) = e2
| op(e4,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 )
& ( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 )
& ( op(e4,e0) = e4
| op(e4,e1) = e4
| op(e4,e2) = e4
| op(e4,e3) = e4
| op(e4,e4) = e4 )
& ( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ) ),
input ).
fof(ax3,axiom,
unit = e0,
input ).
fof('ax2_$sk',plain,
( op(e4,e4) = e0
& op(e4,e3) = e2
& op(e4,e2) = e1
& op(e4,e1) = e3
& op(e4,e0) = e4
& op(e3,e4) = e2
& op(e3,e3) = e1
& op(e3,e2) = e0
& op(e3,e1) = e4
& 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) = e0
& op(e1,e2) = e4
& op(e1,e1) = e2
& 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) = e2
& op(e1,e2) = e4
& op(e1,e3) = e0
& 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) = e4
& op(e3,e2) = e0
& op(e3,e3) = e1
& op(e3,e4) = e2
& op(e4,e0) = e4
& op(e4,e1) = e3
& op(e4,e2) = e1
& op(e4,e3) = e2
& op(e4,e4) = e0 ),
input ).
fof('ax1_$sk',plain,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
inference(negpush_and_skolemize,[],[ax1]) ).
fof(ax1,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
input ).
cnf('1',plain,
( op(e1,e0) != e1
| ~ $pr($df182)
| $pr($df174)
| $pr($df173) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
unit = e0,
inference(cnf_transformation,[],[ax3]) ).
cnf('3',plain,
op(e1,e0) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('4',plain,
op(e1,unit) = e1,
inference(paramodulation,[],['2','3']) ).
cnf('5',plain,
( ~ $pr($df182)
| $pr($df174)
| $pr($df173) ),
inference(simplify,[then_simplify],['1','2','4']) ).
cnf('6',plain,
( op(e0,e1) != e1
| ~ $pr($df173) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('7',plain,
op(e0,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('8',plain,
op(unit,e1) = e1,
inference(paramodulation,[],['2','7']) ).
cnf('9',plain,
~ $pr($df173),
inference(simplify,[then_simplify],['6','2','8']) ).
cnf('10',plain,
( ~ $pr($df182)
| $pr($df174) ),
inference(resolution,[],['5','9']) ).
cnf('11',plain,
( op(e4,e0) != e4
| ~ $pr($df206)
| $pr($df198)
| $pr($df197) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('12',plain,
op(e4,e0) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('13',plain,
op(e4,unit) = e4,
inference(paramodulation,[],['2','12']) ).
cnf('14',plain,
( ~ $pr($df206)
| $pr($df198)
| $pr($df197) ),
inference(simplify,[then_simplify],['11','2','13']) ).
cnf('15',plain,
( op(e0,e4) != e4
| ~ $pr($df197) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('16',plain,
op(e0,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('17',plain,
op(unit,e4) = e4,
inference(paramodulation,[],['2','16']) ).
cnf('18',plain,
~ $pr($df197),
inference(simplify,[then_simplify],['15','2','17']) ).
cnf('19',plain,
( ~ $pr($df206)
| $pr($df198) ),
inference(resolution,[],['14','18']) ).
cnf('20',plain,
( op(e1,e2) != e4
| ~ $pr($df286)
| $pr($df278)
| $pr($df277) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('21',plain,
op(e1,e2) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('22',plain,
( ~ $pr($df286)
| $pr($df278)
| $pr($df277) ),
inference(simplify,[],['20','21']) ).
cnf('23',plain,
( op(e2,e3) != e4
| ~ $pr($df277) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('24',plain,
op(e2,e3) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('25',plain,
~ $pr($df277),
inference(simplify,[],['23','24']) ).
cnf('26',plain,
( ~ $pr($df286)
| $pr($df278) ),
inference(resolution,[],['22','25']) ).
cnf('27',plain,
( op(e1,e3) != e0
| ~ $pr($df294)
| $pr($df286)
| $pr($df285) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('28',plain,
op(e1,e3) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('29',plain,
( ~ $pr($df294)
| $pr($df286)
| $pr($df285) ),
inference(simplify,[then_simplify],['27','28','2','2']) ).
cnf('30',plain,
( op(e3,e2) != e0
| ~ $pr($df285) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('31',plain,
op(e3,e2) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('32',plain,
~ $pr($df285),
inference(simplify,[then_simplify],['30','31','2','2']) ).
cnf('33',plain,
( ~ $pr($df294)
| $pr($df286) ),
inference(resolution,[],['29','32']) ).
cnf('34',plain,
( op(e4,e3) != e2
| ~ $pr($df310)
| $pr($df302)
| $pr($df301) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('35',plain,
op(e4,e3) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('36',plain,
( ~ $pr($df310)
| $pr($df302)
| $pr($df301) ),
inference(simplify,[],['34','35']) ).
cnf('37',plain,
( op(e3,e4) != e2
| ~ $pr($df301) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('38',plain,
op(e3,e4) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('39',plain,
~ $pr($df301),
inference(simplify,[],['37','38']) ).
cnf('40',plain,
( ~ $pr($df310)
| $pr($df302) ),
inference(resolution,[],['36','39']) ).
cnf('41',plain,
( op(e0,e3) != e3
| ~ $pr($df318)
| $pr($df309)
| $pr($df310) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('42',plain,
op(e0,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('43',plain,
op(unit,e3) = e3,
inference(paramodulation,[],['2','42']) ).
cnf('44',plain,
( ~ $pr($df318)
| $pr($df309)
| $pr($df310) ),
inference(simplify,[then_simplify],['41','2','43']) ).
cnf('45',plain,
( op(e3,e0) != e3
| ~ $pr($df309) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('46',plain,
op(e3,e0) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('47',plain,
op(e3,unit) = e3,
inference(paramodulation,[],['2','46']) ).
cnf('48',plain,
~ $pr($df309),
inference(simplify,[then_simplify],['45','2','47']) ).
cnf('49',plain,
( ~ $pr($df318)
| $pr($df310) ),
inference(resolution,[],['44','48']) ).
cnf('50',plain,
( op(e2,e3) != e4
| ~ $pr($df326)
| $pr($df318)
| $pr($df317) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('51',plain,
( ~ $pr($df326)
| $pr($df318)
| $pr($df317) ),
inference(simplify,[],['50','24']) ).
cnf('52',plain,
( op(e3,e1) != e4
| ~ $pr($df317) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('53',plain,
op(e3,e1) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('54',plain,
~ $pr($df317),
inference(simplify,[],['52','53']) ).
cnf('55',plain,
( ~ $pr($df326)
| $pr($df318) ),
inference(resolution,[],['51','54']) ).
cnf('56',plain,
( op(e4,e4) != e0
| ~ $pr($df334)
| $pr($df326)
| $pr($df325) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('57',plain,
op(e4,e4) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('58',plain,
( ~ $pr($df334)
| $pr($df326)
| $pr($df325) ),
inference(simplify,[then_simplify],['56','57','2','2']) ).
cnf('59',plain,
( op(e4,e4) != e0
| ~ $pr($df325) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('60',plain,
~ $pr($df325),
inference(simplify,[then_simplify],['59','57','2','2']) ).
cnf('61',plain,
( ~ $pr($df334)
| $pr($df326) ),
inference(resolution,[],['58','60']) ).
cnf('62',plain,
( op(e2,e4) != e1
| ~ $pr($df342)
| $pr($df334)
| $pr($df333) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('63',plain,
op(e2,e4) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('64',plain,
( ~ $pr($df342)
| $pr($df334)
| $pr($df333) ),
inference(simplify,[],['62','63']) ).
cnf('65',plain,
( op(e4,e2) != e1
| ~ $pr($df333) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('66',plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('67',plain,
~ $pr($df333),
inference(simplify,[],['65','66']) ).
cnf('68',plain,
( ~ $pr($df342)
| $pr($df334) ),
inference(resolution,[],['64','67']) ).
cnf('69',plain,
( op(e3,e4) != e2
| ~ $pr($df350)
| $pr($df342)
| $pr($df341) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('70',plain,
( op(e1,e4) != e3
| ~ $pr($df358)
| $pr($df350)
| $pr($df349) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('71',plain,
( op(e0,e4) != e4
| $pr($df358)
| $pr($df357) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('72',plain,
( $pr($df358)
| $pr($df357) ),
inference(simplify,[then_simplify],['71','2','17']) ).
cnf('73',plain,
( op(e4,e0) != e4
| ~ $pr($df357) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('74',plain,
~ $pr($df357),
inference(simplify,[then_simplify],['73','2','13']) ).
cnf('75',plain,
$pr($df358),
inference(resolution,[],['72','74']) ).
cnf('76',plain,
op(e1,e4) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('77',plain,
( $pr($df350)
| $pr($df349) ),
inference(simplify,[then_simplify],['70','75','76']) ).
cnf('78',plain,
( op(e4,e1) != e3
| ~ $pr($df349) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('79',plain,
op(e4,e1) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('80',plain,
~ $pr($df349),
inference(simplify,[],['78','79']) ).
cnf('81',plain,
$pr($df350),
inference(resolution,[],['77','80']) ).
cnf('82',plain,
( $pr($df342)
| $pr($df341) ),
inference(simplify,[then_simplify],['69','81','38']) ).
cnf('83',plain,
( op(e4,e3) != e2
| ~ $pr($df341) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('84',plain,
~ $pr($df341),
inference(simplify,[],['83','35']) ).
cnf('85',plain,
$pr($df342),
inference(resolution,[],['82','84']) ).
cnf('86',plain,
$pr($df334),
inference(simplify,[],['68','85']) ).
cnf('87',plain,
( ~ $pr($df334)
| $pr($df347)
| $pr($df344)
| $pr($df343) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('88',plain,
( ~ $pr($df344)
| op(e1,e4) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('89',plain,
( ~ $pr($df344)
| e3 = e1 ),
inference(simplify,[],['88','76']) ).
cnf('90',plain,
e1 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('91',plain,
~ $pr($df344),
inference(paramodulation,[],['89','90']) ).
cnf('92',plain,
( ~ $pr($df343)
| op(e0,e4) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('93',plain,
( ~ $pr($df343)
| e4 = e1 ),
inference(simplify,[then_simplify],['92','2','17']) ).
cnf('94',plain,
e1 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('95',plain,
~ $pr($df343),
inference(paramodulation,[],['93','94']) ).
cnf('96',plain,
( ~ $pr($df334)
| $pr($df347) ),
inference(simplify,[then_simplify],['87','91','95']) ).
cnf('97',plain,
$pr($df347),
inference(resolution,[],['86','96']) ).
cnf('98',plain,
( ~ $pr($df347)
| $pr($df334) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('99',plain,
$pr($df334),
inference(resolution,[],['97','98']) ).
cnf('100',plain,
$pr($df326),
inference(simplify,[],['61','99']) ).
cnf('101',plain,
( ~ $pr($df326)
| $pr($df339)
| $pr($df336)
| $pr($df335) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('102',plain,
( ~ $pr($df336)
| op(e1,e4) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('103',plain,
( ~ $pr($df336)
| e3 = unit ),
inference(simplify,[then_simplify],['102','76','2']) ).
cnf('104',plain,
e0 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('105',plain,
unit != e3,
inference(simplify,[],['104','2']) ).
cnf('106',plain,
~ $pr($df336),
inference(paramodulation,[],['103','105']) ).
cnf('107',plain,
( ~ $pr($df335)
| op(e0,e4) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('108',plain,
( ~ $pr($df335)
| e4 = unit ),
inference(simplify,[then_simplify],['107','2','17','2']) ).
cnf('109',plain,
e0 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('110',plain,
unit != e4,
inference(simplify,[],['109','2']) ).
cnf('111',plain,
~ $pr($df335),
inference(paramodulation,[],['108','110']) ).
cnf('112',plain,
( ~ $pr($df326)
| $pr($df339) ),
inference(simplify,[then_simplify],['101','106','111']) ).
cnf('113',plain,
$pr($df339),
inference(resolution,[],['100','112']) ).
cnf('114',plain,
( ~ $pr($df339)
| $pr($df326) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('115',plain,
$pr($df326),
inference(resolution,[],['113','114']) ).
cnf('116',plain,
$pr($df318),
inference(simplify,[],['55','115']) ).
cnf('117',plain,
( ~ $pr($df318)
| $pr($df328)
| $pr($df327)
| $pr($df331) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('118',plain,
( ~ $pr($df328)
| op(e1,e3) = e4 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('119',plain,
( ~ $pr($df328)
| unit = e4 ),
inference(simplify,[then_simplify],['118','28','2']) ).
cnf('120',plain,
~ $pr($df328),
inference(resolution,[],['119','110']) ).
cnf('121',plain,
( ~ $pr($df318)
| $pr($df327)
| $pr($df331) ),
inference(simplify,[],['117','120']) ).
cnf('122',plain,
( ~ $pr($df327)
| op(e0,e3) = e4 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('123',plain,
e3 != e4,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('124',plain,
~ $pr($df327),
inference(simplify,[then_simplify],['122','123','2','43']) ).
cnf('125',plain,
( ~ $pr($df318)
| $pr($df331) ),
inference(resolution,[],['121','124']) ).
cnf('126',plain,
$pr($df331),
inference(resolution,[],['116','125']) ).
cnf('127',plain,
( ~ $pr($df331)
| $pr($df318) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('128',plain,
$pr($df318),
inference(resolution,[],['126','127']) ).
cnf('129',plain,
$pr($df310),
inference(simplify,[],['49','128']) ).
cnf('130',plain,
$pr($df302),
inference(resolution,[],['40','129']) ).
cnf('131',plain,
( op(e3,e3) != e1
| ~ $pr($df302)
| $pr($df294)
| $pr($df293) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('132',plain,
op(e3,e3) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('133',plain,
( ~ $pr($df302)
| $pr($df294)
| $pr($df293) ),
inference(simplify,[],['131','132']) ).
cnf('134',plain,
( op(e3,e3) != e1
| ~ $pr($df293) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('135',plain,
~ $pr($df293),
inference(simplify,[],['134','132']) ).
cnf('136',plain,
( ~ $pr($df302)
| $pr($df294) ),
inference(resolution,[],['133','135']) ).
cnf('137',plain,
$pr($df294),
inference(resolution,[],['130','136']) ).
cnf('138',plain,
$pr($df286),
inference(simplify,[],['33','137']) ).
cnf('139',plain,
( ~ $pr($df286)
| ~ $pr($df296) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('140',plain,
~ $pr($df296),
inference(resolution,[],['138','139']) ).
cnf('141',plain,
( op(e1,e3) != e0
| $pr($df286)
| $pr($df285)
| $pr($df296) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('142',plain,
( $pr($df286)
| $pr($df285)
| $pr($df296) ),
inference(simplify,[then_simplify],['141','28','2','2']) ).
cnf('143',plain,
( $pr($df286)
| $pr($df296) ),
inference(resolution,[],['142','32']) ).
cnf('144',plain,
$pr($df286),
inference(resolution,[],['140','143']) ).
cnf('145',plain,
$pr($df278),
inference(simplify,[],['26','144']) ).
cnf('146',plain,
( op(e2,e2) != e3
| ~ $pr($df278)
| $pr($df270)
| $pr($df269) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('147',plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('148',plain,
( ~ $pr($df278)
| $pr($df270)
| $pr($df269) ),
inference(simplify,[],['146','147']) ).
cnf('149',plain,
( op(e2,e2) != e3
| ~ $pr($df269) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('150',plain,
~ $pr($df269),
inference(simplify,[],['149','147']) ).
cnf('151',plain,
( ~ $pr($df278)
| $pr($df270) ),
inference(resolution,[],['148','150']) ).
cnf('152',plain,
$pr($df270),
inference(resolution,[],['145','151']) ).
cnf('153',plain,
( op(e0,e2) != e2
| ~ $pr($df270)
| $pr($df262)
| $pr($df261) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('154',plain,
op(e0,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('155',plain,
op(unit,e2) = e2,
inference(paramodulation,[],['2','154']) ).
cnf('156',plain,
( ~ $pr($df270)
| $pr($df262)
| $pr($df261) ),
inference(simplify,[then_simplify],['153','2','155']) ).
cnf('157',plain,
( op(e2,e0) != e2
| ~ $pr($df261) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('158',plain,
op(e2,e0) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('159',plain,
op(e2,unit) = e2,
inference(paramodulation,[],['2','158']) ).
cnf('160',plain,
~ $pr($df261),
inference(simplify,[then_simplify],['157','2','159']) ).
cnf('161',plain,
( ~ $pr($df270)
| $pr($df262) ),
inference(resolution,[],['156','160']) ).
cnf('162',plain,
$pr($df262),
inference(resolution,[],['152','161']) ).
cnf('163',plain,
( op(e4,e2) != e1
| ~ $pr($df262)
| $pr($df254)
| $pr($df253) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('164',plain,
( ~ $pr($df262)
| $pr($df254)
| $pr($df253) ),
inference(simplify,[],['163','66']) ).
cnf('165',plain,
( op(e2,e4) != e1
| ~ $pr($df253) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('166',plain,
~ $pr($df253),
inference(simplify,[],['165','63']) ).
cnf('167',plain,
( ~ $pr($df262)
| $pr($df254) ),
inference(resolution,[],['164','166']) ).
cnf('168',plain,
$pr($df254),
inference(resolution,[],['162','167']) ).
cnf('169',plain,
( op(e3,e2) != e0
| ~ $pr($df254)
| $pr($df246)
| $pr($df245) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('170',plain,
( ~ $pr($df254)
| $pr($df246)
| $pr($df245) ),
inference(simplify,[then_simplify],['169','31','2','2']) ).
cnf('171',plain,
( op(e2,e1) != e0
| ~ $pr($df245) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('172',plain,
op(e2,e1) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('173',plain,
~ $pr($df245),
inference(simplify,[then_simplify],['171','172','2','2']) ).
cnf('174',plain,
( ~ $pr($df254)
| $pr($df246) ),
inference(resolution,[],['170','173']) ).
cnf('175',plain,
$pr($df246),
inference(resolution,[],['168','174']) ).
cnf('176',plain,
( op(e3,e1) != e4
| ~ $pr($df246)
| $pr($df238)
| $pr($df237) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('177',plain,
( ~ $pr($df246)
| $pr($df238)
| $pr($df237) ),
inference(simplify,[],['176','53']) ).
cnf('178',plain,
( op(e1,e2) != e4
| ~ $pr($df237) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('179',plain,
~ $pr($df237),
inference(simplify,[],['178','21']) ).
cnf('180',plain,
( ~ $pr($df246)
| $pr($df238) ),
inference(resolution,[],['177','179']) ).
cnf('181',plain,
$pr($df238),
inference(resolution,[],['175','180']) ).
cnf('182',plain,
( op(e4,e1) != e3
| ~ $pr($df238)
| $pr($df229)
| $pr($df230) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('183',plain,
( ~ $pr($df238)
| $pr($df229)
| $pr($df230) ),
inference(simplify,[],['182','79']) ).
cnf('184',plain,
( op(e1,e4) != e3
| ~ $pr($df229) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('185',plain,
~ $pr($df229),
inference(simplify,[],['184','76']) ).
cnf('186',plain,
( ~ $pr($df238)
| $pr($df230) ),
inference(resolution,[],['183','185']) ).
cnf('187',plain,
$pr($df230),
inference(resolution,[],['181','186']) ).
cnf('188',plain,
( op(e1,e1) != e2
| ~ $pr($df230)
| $pr($df222)
| $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('189',plain,
op(e1,e1) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('190',plain,
( ~ $pr($df230)
| $pr($df222)
| $pr($df221) ),
inference(simplify,[],['188','189']) ).
cnf('191',plain,
( op(e1,e1) != e2
| ~ $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('192',plain,
~ $pr($df221),
inference(simplify,[],['191','189']) ).
cnf('193',plain,
( ~ $pr($df230)
| $pr($df222) ),
inference(resolution,[],['190','192']) ).
cnf('194',plain,
$pr($df222),
inference(resolution,[],['187','193']) ).
cnf('195',plain,
( op(e0,e1) != e1
| ~ $pr($df222)
| $pr($df214)
| $pr($df213) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('196',plain,
( ~ $pr($df222)
| $pr($df214)
| $pr($df213) ),
inference(simplify,[then_simplify],['195','2','8']) ).
cnf('197',plain,
( op(e1,e0) != e1
| ~ $pr($df213) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('198',plain,
~ $pr($df213),
inference(simplify,[then_simplify],['197','2','4']) ).
cnf('199',plain,
( ~ $pr($df222)
| $pr($df214) ),
inference(resolution,[],['196','198']) ).
cnf('200',plain,
$pr($df214),
inference(resolution,[],['194','199']) ).
cnf('201',plain,
( op(e2,e1) != e0
| ~ $pr($df214)
| $pr($df206)
| $pr($df205) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('202',plain,
( ~ $pr($df214)
| $pr($df206)
| $pr($df205) ),
inference(simplify,[then_simplify],['201','172','2','2']) ).
cnf('203',plain,
( op(e1,e3) != e0
| ~ $pr($df205) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('204',plain,
~ $pr($df205),
inference(simplify,[then_simplify],['203','28','2','2']) ).
cnf('205',plain,
( ~ $pr($df214)
| $pr($df206) ),
inference(resolution,[],['202','204']) ).
cnf('206',plain,
$pr($df206),
inference(resolution,[],['200','205']) ).
cnf('207',plain,
$pr($df198),
inference(simplify,[],['19','206']) ).
cnf('208',plain,
( op(e3,e0) != e3
| ~ $pr($df198)
| $pr($df190)
| $pr($df189) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('209',plain,
( ~ $pr($df198)
| $pr($df190)
| $pr($df189) ),
inference(simplify,[then_simplify],['208','2','47']) ).
cnf('210',plain,
( op(e0,e3) != e3
| ~ $pr($df189) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('211',plain,
~ $pr($df189),
inference(simplify,[then_simplify],['210','2','43']) ).
cnf('212',plain,
( ~ $pr($df198)
| $pr($df190) ),
inference(resolution,[],['209','211']) ).
cnf('213',plain,
$pr($df190),
inference(resolution,[],['207','212']) ).
cnf('214',plain,
( op(e2,e0) != e2
| ~ $pr($df190)
| $pr($df182)
| $pr($df181) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('215',plain,
( ~ $pr($df190)
| $pr($df182)
| $pr($df181) ),
inference(simplify,[then_simplify],['214','2','159']) ).
cnf('216',plain,
( op(e0,e2) != e2
| ~ $pr($df181) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('217',plain,
~ $pr($df181),
inference(simplify,[then_simplify],['216','2','155']) ).
cnf('218',plain,
( ~ $pr($df190)
| $pr($df182) ),
inference(resolution,[],['215','217']) ).
cnf('219',plain,
$pr($df182),
inference(resolution,[],['213','218']) ).
cnf('220',plain,
$pr($df174),
inference(simplify,[],['10','219']) ).
cnf('221',plain,
( op(e0,e0) != e0
| ~ $pr($df174)
| $pr($df146)
| $pr($df145) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('222',plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('223',plain,
op(e0,e0) = unit,
inference(paramodulation,[],['2','222']) ).
cnf('224',plain,
op(unit,unit) = unit,
inference(simplify,[then_simplify],['223','2','2']) ).
cnf('225',plain,
( ~ $pr($df174)
| $pr($df146)
| $pr($df145) ),
inference(simplify,[then_simplify],['221','2','2','224','2']) ).
cnf('226',plain,
( op(e0,e0) != e0
| ~ $pr($df145) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('227',plain,
~ $pr($df145),
inference(simplify,[then_simplify],['226','2','2','224','2']) ).
cnf('228',plain,
( ~ $pr($df174)
| $pr($df146) ),
inference(resolution,[],['225','227']) ).
cnf('229',plain,
$pr($df146),
inference(resolution,[],['220','228']) ).
cnf('230',plain,
( op(unit,e4) != e4
| op(e4,unit) != e4
| op(unit,e3) != e3
| op(e3,unit) != e3
| op(unit,e2) != e2
| op(e2,unit) != e2
| op(unit,e1) != e1
| op(e1,unit) != e1
| op(unit,e0) != e0
| op(e0,unit) != e0
| unit != e0
| ~ $pr($df146)
| $pr($df138)
| $pr($df137) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('231',plain,
( ~ $pr($df146)
| $pr($df138)
| $pr($df137) ),
inference(simplify,[then_simplify],['230','17','13','43','47','155','159','8','4','2','224','2','2','224','2','2']) ).
cnf('232',plain,
( op(e2,e3) != e4
| ~ $pr($df98)
| $pr($df90)
| $pr($df89) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('233',plain,
( ~ $pr($df98)
| $pr($df90)
| $pr($df89) ),
inference(simplify,[],['232','24']) ).
cnf('234',plain,
( op(e2,e2) != e3
| ~ $pr($df89) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('235',plain,
~ $pr($df89),
inference(simplify,[],['234','147']) ).
cnf('236',plain,
( ~ $pr($df98)
| $pr($df90) ),
inference(resolution,[],['233','235']) ).
cnf('237',plain,
( op(e0,e1) != e1
| ~ $pr($df50)
| $pr($df1)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('238',plain,
( ~ $pr($df50)
| $pr($df1)
| $pr($df2) ),
inference(simplify,[then_simplify],['237','2','8']) ).
cnf('239',plain,
( op(e0,e0) != e0
| ~ $pr($df1) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('240',plain,
~ $pr($df1),
inference(simplify,[then_simplify],['239','2','2','224','2']) ).
cnf('241',plain,
( ~ $pr($df50)
| $pr($df2) ),
inference(resolution,[],['238','240']) ).
cnf('242',plain,
( op(op(e2,e3),e3) != e2
| ~ $pr($df2)
| op(op(e2,e3),e2) = e3
| op(e3,e2) = op(e2,e3) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('243',plain,
e1 != e3,
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('244',plain,
( ~ $pr($df2)
| unit = e4 ),
inference(simplify,[then_simplify],['242','243','24','35','24','66','31','2','24']) ).
cnf('245',plain,
~ $pr($df2),
inference(resolution,[],['244','110']) ).
cnf('246',plain,
~ $pr($df50),
inference(simplify,[],['241','245']) ).
cnf('247',plain,
( op(e0,e3) != e3
| ~ $pr($df58)
| $pr($df50)
| $pr($df49) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('248',plain,
( ~ $pr($df58)
| $pr($df50)
| $pr($df49) ),
inference(simplify,[then_simplify],['247','2','43']) ).
cnf('249',plain,
( op(e0,e2) != e2
| ~ $pr($df49) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('250',plain,
~ $pr($df49),
inference(simplify,[then_simplify],['249','2','155']) ).
cnf('251',plain,
( ~ $pr($df58)
| $pr($df50) ),
inference(resolution,[],['248','250']) ).
cnf('252',plain,
~ $pr($df58),
inference(resolution,[],['246','251']) ).
cnf('253',plain,
( op(e1,e0) != e1
| ~ $pr($df66)
| $pr($df58)
| $pr($df57) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('254',plain,
( ~ $pr($df66)
| $pr($df58)
| $pr($df57) ),
inference(simplify,[then_simplify],['253','2','4']) ).
cnf('255',plain,
( op(e0,e4) != e4
| ~ $pr($df57) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('256',plain,
~ $pr($df57),
inference(simplify,[then_simplify],['255','2','17']) ).
cnf('257',plain,
( ~ $pr($df66)
| $pr($df58) ),
inference(resolution,[],['254','256']) ).
cnf('258',plain,
~ $pr($df66),
inference(resolution,[],['252','257']) ).
cnf('259',plain,
( op(e1,e2) != e4
| ~ $pr($df74)
| $pr($df66)
| $pr($df65) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('260',plain,
( ~ $pr($df74)
| $pr($df66)
| $pr($df65) ),
inference(simplify,[],['259','21']) ).
cnf('261',plain,
( op(e1,e1) != e2
| ~ $pr($df65) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('262',plain,
~ $pr($df65),
inference(simplify,[],['261','189']) ).
cnf('263',plain,
( ~ $pr($df74)
| $pr($df66) ),
inference(resolution,[],['260','262']) ).
cnf('264',plain,
~ $pr($df74),
inference(resolution,[],['258','263']) ).
cnf('265',plain,
( op(e1,e4) != e3
| ~ $pr($df82)
| $pr($df74)
| $pr($df73) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('266',plain,
( ~ $pr($df82)
| $pr($df74)
| $pr($df73) ),
inference(simplify,[],['265','76']) ).
cnf('267',plain,
( op(e1,e3) != e0
| ~ $pr($df73) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('268',plain,
~ $pr($df73),
inference(simplify,[then_simplify],['267','28','2','2']) ).
cnf('269',plain,
( ~ $pr($df82)
| $pr($df74) ),
inference(resolution,[],['266','268']) ).
cnf('270',plain,
~ $pr($df82),
inference(resolution,[],['264','269']) ).
cnf('271',plain,
( op(e2,e1) != e0
| ~ $pr($df90)
| $pr($df82)
| $pr($df81) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('272',plain,
( ~ $pr($df90)
| $pr($df82)
| $pr($df81) ),
inference(simplify,[then_simplify],['271','172','2','2']) ).
cnf('273',plain,
( op(e2,e0) != e2
| ~ $pr($df81) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('274',plain,
~ $pr($df81),
inference(simplify,[then_simplify],['273','2','159']) ).
cnf('275',plain,
( ~ $pr($df90)
| $pr($df82) ),
inference(resolution,[],['272','274']) ).
cnf('276',plain,
~ $pr($df90),
inference(resolution,[],['270','275']) ).
cnf('277',plain,
~ $pr($df98),
inference(simplify,[],['236','276']) ).
cnf('278',plain,
( op(e3,e0) != e3
| ~ $pr($df106)
| $pr($df98)
| $pr($df97) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('279',plain,
( ~ $pr($df106)
| $pr($df98)
| $pr($df97) ),
inference(simplify,[then_simplify],['278','2','47']) ).
cnf('280',plain,
( op(e2,e4) != e1
| ~ $pr($df97) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('281',plain,
~ $pr($df97),
inference(simplify,[],['280','63']) ).
cnf('282',plain,
( ~ $pr($df106)
| $pr($df98) ),
inference(resolution,[],['279','281']) ).
cnf('283',plain,
~ $pr($df106),
inference(resolution,[],['277','282']) ).
cnf('284',plain,
( op(e3,e2) != e0
| ~ $pr($df114)
| $pr($df106)
| $pr($df105) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('285',plain,
( ~ $pr($df114)
| $pr($df106)
| $pr($df105) ),
inference(simplify,[then_simplify],['284','31','2','2']) ).
cnf('286',plain,
( op(e3,e1) != e4
| ~ $pr($df105) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('287',plain,
~ $pr($df105),
inference(simplify,[],['286','53']) ).
cnf('288',plain,
( ~ $pr($df114)
| $pr($df106) ),
inference(resolution,[],['285','287']) ).
cnf('289',plain,
~ $pr($df114),
inference(resolution,[],['283','288']) ).
cnf('290',plain,
( op(e3,e4) != e2
| ~ $pr($df122)
| $pr($df113)
| $pr($df114) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('291',plain,
( ~ $pr($df122)
| $pr($df113)
| $pr($df114) ),
inference(simplify,[],['290','38']) ).
cnf('292',plain,
( op(e3,e3) != e1
| ~ $pr($df113) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('293',plain,
~ $pr($df113),
inference(simplify,[],['292','132']) ).
cnf('294',plain,
( ~ $pr($df122)
| $pr($df114) ),
inference(resolution,[],['291','293']) ).
cnf('295',plain,
~ $pr($df122),
inference(resolution,[],['289','294']) ).
cnf('296',plain,
( op(e4,e1) != e3
| ~ $pr($df130)
| $pr($df122)
| $pr($df121) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('297',plain,
( ~ $pr($df130)
| $pr($df122)
| $pr($df121) ),
inference(simplify,[],['296','79']) ).
cnf('298',plain,
( op(e4,e0) != e4
| ~ $pr($df121) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('299',plain,
~ $pr($df121),
inference(simplify,[then_simplify],['298','2','13']) ).
cnf('300',plain,
( ~ $pr($df130)
| $pr($df122) ),
inference(resolution,[],['297','299']) ).
cnf('301',plain,
~ $pr($df130),
inference(resolution,[],['295','300']) ).
cnf('302',plain,
( op(e4,e3) != e2
| ~ $pr($df138)
| $pr($df130)
| $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('303',plain,
( ~ $pr($df138)
| $pr($df130)
| $pr($df129) ),
inference(simplify,[],['302','35']) ).
cnf('304',plain,
( op(e4,e2) != e1
| ~ $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('305',plain,
~ $pr($df129),
inference(simplify,[],['304','66']) ).
cnf('306',plain,
( ~ $pr($df138)
| $pr($df130) ),
inference(resolution,[],['303','305']) ).
cnf('307',plain,
~ $pr($df138),
inference(resolution,[],['301','306']) ).
cnf('308',plain,
$pr($df137),
inference(resolution,[then_simplify],['229','231','307']) ).
cnf('309',plain,
( op(e4,e4) != e0
| ~ $pr($df137) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('310',plain,
~ $pr($df137),
inference(simplify,[then_simplify],['309','57','2','2']) ).
cnf('311',plain,
$false,
inference(resolution,[],['308','310']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG095+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : gkc %s
% 0.17/0.34 % Computer : n016.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon Aug 28 05:34:44 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.43
% 0.20/0.43 input clause set summed statistics:
% 0.20/0.43 ----------------------------------
% 0.20/0.43 in_clause_count: 1901
% 0.20/0.43 in_rule_clause_count: 1900
% 0.20/0.43 in_fact_clause_count: 1
% 0.20/0.43 in_answer_clause_count: 0
% 0.20/0.43 in_ground_clause_count: 1901
% 0.20/0.43 in_unit_clause_count: 36
% 0.20/0.43 in_horn_clause_count: 961
% 0.20/0.43 in_pos_clause_count: 144
% 0.20/0.43 in_neg_clause_count: 686
% 0.20/0.43 in_poseq_clause_count: 405
% 0.20/0.43 in_negeq_clause_count: 658
% 0.20/0.43 in_unitposeq_clause_count: 26
% 0.20/0.43 in_chain_clause_count: 0
% 0.20/0.43 in_min_length: 1
% 0.20/0.43 in_max_length: 14
% 0.20/0.43 in_min_depth: 1
% 0.20/0.43 in_max_depth: 3
% 0.20/0.43 in_min_size: 3
% 0.20/0.43 in_max_size: 59
% 0.20/0.43 in_min_vars: 0
% 0.20/0.43 in_max_vars: 0
% 0.20/0.43 in_extaxiom_count: 0
% 0.20/0.43 in_axiom_count: 36
% 0.20/0.43 in_assumption_count: 0
% 0.20/0.43 in_goal_count: 1865
% 0.20/0.43 in_neg_goal_count: 676
% 0.20/0.43 in_pos_goal_count: 118
% 0.20/0.43 in_posunit_goal_count: 0
% 0.20/0.43
% 0.20/0.43 auto guide:
% 0.20/0.43 -----------
% 0.20/0.43 {
% 0.20/0.43 "print":1,
% 0.20/0.43 "print_level": 15,
% 0.20/0.43 "max_size": 0,
% 0.20/0.43 "max_depth": 0,
% 0.20/0.43 "max_length": 0,
% 0.20/0.43 "max_dseconds": 0,
% 0.20/0.43 "runs":[
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.43 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
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% 0.20/0.43
% 0.20/0.43 {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
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% 0.20/0.43 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.20/0.43
% 0.20/0.43 {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.43 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.43 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
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% 0.20/0.43
% 0.20/0.43 ]}
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 **** run 1 fork 0 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.20/0.43
% 0.20/0.43 **** run 2 fork 1 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.20/0.43
% 0.20/0.43 **** run 3 fork 2 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.43
% 0.20/0.43 **** run 4 fork 3 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.43
% 0.20/0.43 **** run 5 fork 4 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.43
% 0.20/0.43 **** run 6 fork 5 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.43
% 0.20/0.43 **** run 7 fork 6 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.43
% 0.20/0.43 **** run 8 fork 7 starts with strategy
% 0.20/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.48
% 0.20/0.48 fork 0: search finished without proof.
% 0.20/0.51
% 0.20/0.51 **** run 9 fork 0 starts with strategy
% 0.20/0.51 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 result: proof found
% 0.20/0.56 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56 by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.56
% 0.20/0.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.56
% 0.20/0.56 run 6 fork 5 statistics:
% 0.20/0.56 ----------------------------------
% 0.20/0.56 this run seconds: 0.080458
% 0.20/0.56 total seconds: 0.125820
% 0.20/0.56 stat_given_used: 1537
% 0.20/0.56 stat_given_used_at_endgame: 0
% 0.20/0.56 stat_given_candidates: 2819
% 0.20/0.56 stat_given_candidates_at_endgame: 0
% 0.20/0.56 stat_given_candidates_h: 0
% 0.20/0.56 stat_binres_derived_cl: 1008
% 0.20/0.56 stat_binres_derived_cl_h: 0
% 0.20/0.56 stat_factor_derived_cl: 0
% 0.20/0.56 stat_para_derived_cl: 2944
% 0.20/0.56 stat_tautologies_discarded: 0
% 0.20/0.56 stat_forward_subsumed: 2058
% 0.20/0.56 stat_derived_cut: 632
% 0.20/0.56 stat_derived_rewritten: 642
% 0.20/0.56 stat_weight_discarded_building: 0
% 0.20/0.56 stat_weight_discarded_cl: 921
% 0.20/0.56 stat_internlimit_discarded_cl: 0
% 0.20/0.56 stat_simplified: 913 simplified 0 derived 0 given
% 0.20/0.56 stat_kept_cl: 902
% 0.20/0.56 stat_built_cl: 5810
% 0.20/0.56 stat_hyperres_partial_cl: 0
% 0.20/0.56 stat_made_rewriters: 35
% 0.20/0.56 stat_backward_subsumed: 0
% 0.20/0.56 stat_propagated_subsumed: 0
% 0.20/0.56 stat_clsubs_attempted: 2071
% 0.20/0.56 stat_clsubs_fact_groundunit_found: 8
% 0.20/0.56 stat_clsubs_rule_groundunit_found: 379
% 0.20/0.56 stat_clsubs_top_meta_attempted: 1077440
% 0.20/0.56 stat_clsubs_top_meta_failed: 1075369
% 0.20/0.56 stat_clsubs_top_meta_nonpref_attempted: 1077440
% 0.20/0.56 stat_clsubs_top_meta_nonpref_succeeded: 337709
% 0.20/0.56 stat_clsubs_top_meta_pref_attempted: 337709
% 0.20/0.56 stat_clsubs_top_meta_pref1_succeeded: 278011
% 0.20/0.56 stat_clsubs_top_meta_pref2_succeeded: 2301
% 0.20/0.56 stat_clsubs_top_meta_pref3_succeeded: 2071
% 0.20/0.56 stat_clsubs_top_meta_pref_succeeded: 2071
% 0.20/0.56 stat_clsubs_meta_attempted: 4078
% 0.20/0.56 stat_clsubs_meta_failed: 3433
% 0.20/0.56 stat_clsubs_predsymbs_attempted: 0
% 0.20/0.56 stat_clsubs_unit_attempted: 0
% 0.20/0.56 stat_clsubs_full_attempted: 2071
% 0.20/0.56 stat_forwardsubs_attempted: 3881
% 0.20/0.56 stat_lit_hash_added: 3545
% 0.20/0.56 stat_lit_hash_computed: 26326
% 0.20/0.56 stat_lit_hash_match_found: 3551
% 0.20/0.56 stat_lit_hash_match_miss: 26085
% 0.20/0.56 stat_lit_hash_cut_ok: 717
% 0.20/0.56 stat_lit_strong_cut_ok: 0
% 0.20/0.56 stat_lit_hash_subsume_ok: 2058
% 0.20/0.56 clqueue els 10000000 used 1
% 0.20/0.56 clactive els 10000000 used 1538
% 0.20/0.56 clactivesubsume els 10000000 used 6937
% 0.20/0.56 queue_termbuf els 200000000 used 87429
% 0.20/0.56 hyper_termbuf els 100000000 used 1
% 0.20/0.56 active_termbuf els 100000000 used 31688
% 0.20/0.56 varstack els 5000 last used 1
% 0.20/0.56 given_termbuf els 10000000 last used 7
% 0.20/0.56 simplified_termbuf els 10000000 last used 1
% 0.20/0.56 derived_termbuf els 10000000 last used 25
% 0.20/0.56 wr_mallocs: 14090
% 0.20/0.56 wr_callocs: 21
% 0.20/0.56 wr_reallocs: 991
% 0.20/0.56 wr_frees: 4
% 0.20/0.56 wr_malloc_bytes: 4163069812
% 0.20/0.56 wr_calloc_bytes: 112065536
% 0.20/0.56 wr_realloc_bytes: 238712
% 0.20/0.56 wr_realloc_freebytes: 0
% 0.20/0.56 ----------------------------------
%------------------------------------------------------------------------------