TSTP Solution File: ALG058+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG058+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 16:27:37 EDT 2023
% Result : Theorem 15.61s 2.50s
% Output : CNFRefutation 15.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
( ( ( op(e4,e4) != e4
& op(e4,e4) = e4
& op(e4,e4) = e4 )
| ( op(e4,e3) != e4
& op(e3,e3) = e4
& op(e4,e4) = e3 )
| ( op(e4,e2) != e4
& op(e2,e2) = e4
& op(e4,e4) = e2 )
| ( op(e4,e1) != e4
& op(e1,e1) = e4
& op(e4,e4) = e1 )
| ( op(e4,e0) != e4
& op(e0,e0) = e4
& op(e4,e4) = e0 )
| ( op(e3,e4) != e3
& op(e4,e4) = e3
& op(e3,e3) = e4 )
| ( op(e3,e3) != e3
& op(e3,e3) = e3
& op(e3,e3) = e3 )
| ( op(e3,e2) != e3
& op(e2,e2) = e3
& op(e3,e3) = e2 )
| ( op(e3,e1) != e3
& op(e1,e1) = e3
& op(e3,e3) = e1 )
| ( op(e3,e0) != e3
& op(e0,e0) = e3
& op(e3,e3) = e0 )
| ( op(e2,e4) != e2
& op(e4,e4) = e2
& op(e2,e2) = e4 )
| ( op(e2,e3) != e2
& op(e3,e3) = e2
& op(e2,e2) = e3 )
| ( op(e2,e2) != e2
& op(e2,e2) = e2
& op(e2,e2) = e2 )
| ( op(e2,e1) != e2
& op(e1,e1) = e2
& op(e2,e2) = e1 )
| ( op(e2,e0) != e2
& op(e0,e0) = e2
& op(e2,e2) = e0 )
| ( op(e1,e4) != e1
& op(e4,e4) = e1
& op(e1,e1) = e4 )
| ( op(e1,e3) != e1
& op(e3,e3) = e1
& op(e1,e1) = e3 )
| ( op(e1,e2) != e1
& op(e2,e2) = e1
& op(e1,e1) = e2 )
| ( op(e1,e1) != e1
& op(e1,e1) = e1
& op(e1,e1) = e1 )
| ( op(e1,e0) != e1
& op(e0,e0) = e1
& op(e1,e1) = e0 )
| ( op(e0,e4) != e0
& op(e4,e4) = e0
& op(e0,e0) = e4 )
| ( op(e0,e3) != e0
& op(e3,e3) = e0
& op(e0,e0) = e3 )
| ( op(e0,e2) != e0
& op(e2,e2) = e0
& op(e0,e0) = e2 )
| ( op(e0,e1) != e0
& op(e1,e1) = e0
& op(e0,e0) = e1 )
| ( op(e0,e0) != e0
& op(e0,e0) = e0
& op(e0,e0) = e0 ) )
& ( ( ( ( e4 != unit
& op(e4,e4) = e4 )
| op(e4,e4) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e3 )
| op(e4,e3) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e2 )
| op(e4,e2) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e1 )
| op(e4,e1) != e4 )
& ( ( e4 != unit
& op(e4,e4) = e0 )
| op(e4,e0) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e4 )
| op(e3,e4) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e3 )
| op(e3,e3) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e2 )
| op(e3,e2) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e1 )
| op(e3,e1) != e4 )
& ( ( e4 != unit
& op(e3,e4) = e0 )
| op(e3,e0) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e4 )
| op(e2,e4) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e3 )
| op(e2,e3) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e2 )
| op(e2,e2) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e1 )
| op(e2,e1) != e4 )
& ( ( e4 != unit
& op(e2,e4) = e0 )
| op(e2,e0) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e4 )
| op(e1,e4) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e2 )
| op(e1,e2) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e1 )
| op(e1,e1) != e4 )
& ( ( e4 != unit
& op(e1,e4) = e0 )
| op(e1,e0) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e4 )
| op(e0,e4) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e3 )
| op(e0,e3) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e2 )
| op(e0,e2) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e1 )
| op(e0,e1) != e4 )
& ( ( e4 != unit
& op(e0,e4) = e0 )
| op(e0,e0) != e4 ) )
| ( ( ( e3 != unit
& op(e4,e3) = e4 )
| op(e4,e4) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e3 )
| op(e4,e3) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e2 )
| op(e4,e2) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 )
& ( ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e4 )
| op(e3,e4) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e3 )
| op(e3,e3) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e2 )
| op(e3,e2) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e1 )
| op(e3,e1) != e3 )
& ( ( e3 != unit
& op(e3,e3) = e0 )
| op(e3,e0) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e4 )
| op(e2,e4) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e3 )
| op(e2,e3) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e2 )
| op(e2,e2) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e1 )
| op(e2,e1) != e3 )
& ( ( e3 != unit
& op(e2,e3) = e0 )
| op(e2,e0) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e4 )
| op(e1,e4) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e3 )
| op(e1,e3) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e1 )
| op(e1,e1) != e3 )
& ( ( e3 != unit
& op(e1,e3) = e0 )
| op(e1,e0) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e4 )
| op(e0,e4) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e3 )
| op(e0,e3) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e2 )
| op(e0,e2) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e1 )
| op(e0,e1) != e3 )
& ( ( e3 != unit
& op(e0,e3) = e0 )
| op(e0,e0) != e3 ) )
| ( ( ( e2 != unit
& op(e4,e2) = e4 )
| op(e4,e4) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e2 )
| op(e4,e2) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e1 )
| op(e4,e1) != e2 )
& ( ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e4 )
| op(e3,e4) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e3 )
| op(e3,e3) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e2 )
| op(e3,e2) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e1 )
| op(e3,e1) != e2 )
& ( ( e2 != unit
& op(e3,e2) = e0 )
| op(e3,e0) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e4 )
| op(e2,e4) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e3 )
| op(e2,e3) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e2 )
| op(e2,e2) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e1 )
| op(e2,e1) != e2 )
& ( ( e2 != unit
& op(e2,e2) = e0 )
| op(e2,e0) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e3 )
| op(e1,e3) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e2 )
| op(e1,e2) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e1 )
| op(e1,e1) != e2 )
& ( ( e2 != unit
& op(e1,e2) = e0 )
| op(e1,e0) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e4 )
| op(e0,e4) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e3 )
| op(e0,e3) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e2 )
| op(e0,e2) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e1 )
| op(e0,e1) != e2 )
& ( ( e2 != unit
& op(e0,e2) = e0 )
| op(e0,e0) != e2 ) )
| ( ( ( e1 != unit
& op(e4,e1) = e4 )
| op(e4,e4) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e3 )
| op(e4,e3) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e1 )
| op(e4,e1) != e1 )
& ( ( e1 != unit
& op(e4,e1) = e0 )
| op(e4,e0) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e4 )
| op(e3,e4) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e3 )
| op(e3,e3) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e2 )
| op(e3,e2) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e1 )
| op(e3,e1) != e1 )
& ( ( e1 != unit
& op(e3,e1) = e0 )
| op(e3,e0) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e4 )
| op(e2,e4) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e2 )
| op(e2,e2) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e1 )
| op(e2,e1) != e1 )
& ( ( e1 != unit
& op(e2,e1) = e0 )
| op(e2,e0) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e4 )
| op(e1,e4) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e3 )
| op(e1,e3) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e2 )
| op(e1,e2) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e1 )
| op(e1,e1) != e1 )
& ( ( e1 != unit
& op(e1,e1) = e0 )
| op(e1,e0) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e4 )
| op(e0,e4) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e3 )
| op(e0,e3) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e2 )
| op(e0,e2) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e1 )
| op(e0,e1) != e1 )
& ( ( e1 != unit
& op(e0,e1) = e0 )
| op(e0,e0) != e1 ) )
| ( ( ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e3 )
| op(e4,e3) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e2 )
| op(e4,e2) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e1 )
| op(e4,e1) != e0 )
& ( ( e0 != unit
& op(e4,e0) = e0 )
| op(e4,e0) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e3 )
| op(e3,e3) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e2 )
| op(e3,e2) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e1 )
| op(e3,e1) != e0 )
& ( ( e0 != unit
& op(e3,e0) = e0 )
| op(e3,e0) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e2 )
| op(e2,e2) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e1 )
| op(e2,e1) != e0 )
& ( ( e0 != unit
& op(e2,e0) = e0 )
| op(e2,e0) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e3 )
| op(e1,e3) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e2 )
| op(e1,e2) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e1 )
| op(e1,e1) != e0 )
& ( ( e0 != unit
& op(e1,e0) = e0 )
| op(e1,e0) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e3 )
| op(e0,e3) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e2 )
| op(e0,e2) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| op(e0,e1) != e0 )
& ( ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ) ) ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
~ ( ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = e0
& e0 != unit ) )
& ( op(e0,e1) != e0
| ( op(e0,e0) = e1
& e0 != unit ) )
& ( op(e0,e2) != e0
| ( op(e0,e0) = e2
& e0 != unit ) )
& ( op(e0,e3) != e0
| ( op(e0,e0) = e3
& e0 != unit ) )
& ( op(e0,e4) != e0
| ( op(e0,e0) = e4
& e0 != unit ) )
& ( op(e1,e0) != e0
| ( op(e1,e0) = e0
& e0 != unit ) )
& ( op(e1,e1) != e0
| ( op(e1,e0) = e1
& e0 != unit ) )
& ( op(e1,e2) != e0
| ( op(e1,e0) = e2
& e0 != unit ) )
& ( op(e1,e3) != e0
| ( op(e1,e0) = e3
& e0 != unit ) )
& ( op(e1,e4) != e0
| ( op(e1,e0) = e4
& e0 != unit ) )
& ( op(e2,e0) != e0
| ( op(e2,e0) = e0
& e0 != unit ) )
& ( op(e2,e1) != e0
| ( op(e2,e0) = e1
& e0 != unit ) )
& ( op(e2,e2) != e0
| ( op(e2,e0) = e2
& e0 != unit ) )
& ( op(e2,e3) != e0
| ( op(e2,e0) = e3
& e0 != unit ) )
& ( op(e2,e4) != e0
| ( op(e2,e0) = e4
& e0 != unit ) )
& ( op(e3,e0) != e0
| ( op(e3,e0) = e0
& e0 != unit ) )
& ( op(e3,e1) != e0
| ( op(e3,e0) = e1
& e0 != unit ) )
& ( op(e3,e2) != e0
| ( op(e3,e0) = e2
& e0 != unit ) )
& ( op(e3,e3) != e0
| ( op(e3,e0) = e3
& e0 != unit ) )
& ( op(e3,e4) != e0
| ( op(e3,e0) = e4
& e0 != unit ) )
& ( op(e4,e0) != e0
| ( op(e4,e0) = e0
& e0 != unit ) )
& ( op(e4,e1) != e0
| ( op(e4,e0) = e1
& e0 != unit ) )
& ( op(e4,e2) != e0
| ( op(e4,e0) = e2
& e0 != unit ) )
& ( op(e4,e3) != e0
| ( op(e4,e0) = e3
& e0 != unit ) )
& ( op(e4,e4) != e0
| ( op(e4,e0) = e4
& e0 != unit ) ) )
| ( ( op(e0,e0) != e1
| ( op(e0,e1) = e0
& e1 != unit ) )
& ( op(e0,e1) != e1
| ( op(e0,e1) = e1
& e1 != unit ) )
& ( op(e0,e2) != e1
| ( op(e0,e1) = e2
& e1 != unit ) )
& ( op(e0,e3) != e1
| ( op(e0,e1) = e3
& e1 != unit ) )
& ( op(e0,e4) != e1
| ( op(e0,e1) = e4
& e1 != unit ) )
& ( op(e1,e0) != e1
| ( op(e1,e1) = e0
& e1 != unit ) )
& ( op(e1,e1) != e1
| ( op(e1,e1) = e1
& e1 != unit ) )
& ( op(e1,e2) != e1
| ( op(e1,e1) = e2
& e1 != unit ) )
& ( op(e1,e3) != e1
| ( op(e1,e1) = e3
& e1 != unit ) )
& ( op(e1,e4) != e1
| ( op(e1,e1) = e4
& e1 != unit ) )
& ( op(e2,e0) != e1
| ( op(e2,e1) = e0
& e1 != unit ) )
& ( op(e2,e1) != e1
| ( op(e2,e1) = e1
& e1 != unit ) )
& ( op(e2,e2) != e1
| ( op(e2,e1) = e2
& e1 != unit ) )
& ( op(e2,e3) != e1
| ( op(e2,e1) = e3
& e1 != unit ) )
& ( op(e2,e4) != e1
| ( op(e2,e1) = e4
& e1 != unit ) )
& ( op(e3,e0) != e1
| ( op(e3,e1) = e0
& e1 != unit ) )
& ( op(e3,e1) != e1
| ( op(e3,e1) = e1
& e1 != unit ) )
& ( op(e3,e2) != e1
| ( op(e3,e1) = e2
& e1 != unit ) )
& ( op(e3,e3) != e1
| ( op(e3,e1) = e3
& e1 != unit ) )
& ( op(e3,e4) != e1
| ( op(e3,e1) = e4
& e1 != unit ) )
& ( op(e4,e0) != e1
| ( op(e4,e1) = e0
& e1 != unit ) )
& ( op(e4,e1) != e1
| ( op(e4,e1) = e1
& e1 != unit ) )
& ( op(e4,e2) != e1
| ( op(e4,e1) = e2
& e1 != unit ) )
& ( op(e4,e3) != e1
| ( op(e4,e1) = e3
& e1 != unit ) )
& ( op(e4,e4) != e1
| ( op(e4,e1) = e4
& e1 != unit ) ) )
| ( ( op(e0,e0) != e2
| ( op(e0,e2) = e0
& e2 != unit ) )
& ( op(e0,e1) != e2
| ( op(e0,e2) = e1
& e2 != unit ) )
& ( op(e0,e2) != e2
| ( op(e0,e2) = e2
& e2 != unit ) )
& ( op(e0,e3) != e2
| ( op(e0,e2) = e3
& e2 != unit ) )
& ( op(e0,e4) != e2
| ( op(e0,e2) = e4
& e2 != unit ) )
& ( op(e1,e0) != e2
| ( op(e1,e2) = e0
& e2 != unit ) )
& ( op(e1,e1) != e2
| ( op(e1,e2) = e1
& e2 != unit ) )
& ( op(e1,e2) != e2
| ( op(e1,e2) = e2
& e2 != unit ) )
& ( op(e1,e3) != e2
| ( op(e1,e2) = e3
& e2 != unit ) )
& ( op(e1,e4) != e2
| ( op(e1,e2) = e4
& e2 != unit ) )
& ( op(e2,e0) != e2
| ( op(e2,e2) = e0
& e2 != unit ) )
& ( op(e2,e1) != e2
| ( op(e2,e2) = e1
& e2 != unit ) )
& ( op(e2,e2) != e2
| ( op(e2,e2) = e2
& e2 != unit ) )
& ( op(e2,e3) != e2
| ( op(e2,e2) = e3
& e2 != unit ) )
& ( op(e2,e4) != e2
| ( op(e2,e2) = e4
& e2 != unit ) )
& ( op(e3,e0) != e2
| ( op(e3,e2) = e0
& e2 != unit ) )
& ( op(e3,e1) != e2
| ( op(e3,e2) = e1
& e2 != unit ) )
& ( op(e3,e2) != e2
| ( op(e3,e2) = e2
& e2 != unit ) )
& ( op(e3,e3) != e2
| ( op(e3,e2) = e3
& e2 != unit ) )
& ( op(e3,e4) != e2
| ( op(e3,e2) = e4
& e2 != unit ) )
& ( op(e4,e0) != e2
| ( op(e4,e2) = e0
& e2 != unit ) )
& ( op(e4,e1) != e2
| ( op(e4,e2) = e1
& e2 != unit ) )
& ( op(e4,e2) != e2
| ( op(e4,e2) = e2
& e2 != unit ) )
& ( op(e4,e3) != e2
| ( op(e4,e2) = e3
& e2 != unit ) )
& ( op(e4,e4) != e2
| ( op(e4,e2) = e4
& e2 != unit ) ) )
| ( ( op(e0,e0) != e3
| ( op(e0,e3) = e0
& e3 != unit ) )
& ( op(e0,e1) != e3
| ( op(e0,e3) = e1
& e3 != unit ) )
& ( op(e0,e2) != e3
| ( op(e0,e3) = e2
& e3 != unit ) )
& ( op(e0,e3) != e3
| ( op(e0,e3) = e3
& e3 != unit ) )
& ( op(e0,e4) != e3
| ( op(e0,e3) = e4
& e3 != unit ) )
& ( op(e1,e0) != e3
| ( op(e1,e3) = e0
& e3 != unit ) )
& ( op(e1,e1) != e3
| ( op(e1,e3) = e1
& e3 != unit ) )
& ( op(e1,e2) != e3
| ( op(e1,e3) = e2
& e3 != unit ) )
& ( op(e1,e3) != e3
| ( op(e1,e3) = e3
& e3 != unit ) )
& ( op(e1,e4) != e3
| ( op(e1,e3) = e4
& e3 != unit ) )
& ( op(e2,e0) != e3
| ( op(e2,e3) = e0
& e3 != unit ) )
& ( op(e2,e1) != e3
| ( op(e2,e3) = e1
& e3 != unit ) )
& ( op(e2,e2) != e3
| ( op(e2,e3) = e2
& e3 != unit ) )
& ( op(e2,e3) != e3
| ( op(e2,e3) = e3
& e3 != unit ) )
& ( op(e2,e4) != e3
| ( op(e2,e3) = e4
& e3 != unit ) )
& ( op(e3,e0) != e3
| ( op(e3,e3) = e0
& e3 != unit ) )
& ( op(e3,e1) != e3
| ( op(e3,e3) = e1
& e3 != unit ) )
& ( op(e3,e2) != e3
| ( op(e3,e3) = e2
& e3 != unit ) )
& ( op(e3,e3) != e3
| ( op(e3,e3) = e3
& e3 != unit ) )
& ( op(e3,e4) != e3
| ( op(e3,e3) = e4
& e3 != unit ) )
& ( op(e4,e0) != e3
| ( op(e4,e3) = e0
& e3 != unit ) )
& ( op(e4,e1) != e3
| ( op(e4,e3) = e1
& e3 != unit ) )
& ( op(e4,e2) != e3
| ( op(e4,e3) = e2
& e3 != unit ) )
& ( op(e4,e3) != e3
| ( op(e4,e3) = e3
& e3 != unit ) )
& ( op(e4,e4) != e3
| ( op(e4,e3) = e4
& e3 != unit ) ) )
| ( ( op(e0,e0) != e4
| ( op(e0,e4) = e0
& e4 != unit ) )
& ( op(e0,e1) != e4
| ( op(e0,e4) = e1
& e4 != unit ) )
& ( op(e0,e2) != e4
| ( op(e0,e4) = e2
& e4 != unit ) )
& ( op(e0,e3) != e4
| ( op(e0,e4) = e3
& e4 != unit ) )
& ( op(e0,e4) != e4
| ( op(e0,e4) = e4
& e4 != unit ) )
& ( op(e1,e0) != e4
| ( op(e1,e4) = e0
& e4 != unit ) )
& ( op(e1,e1) != e4
| ( op(e1,e4) = e1
& e4 != unit ) )
& ( op(e1,e2) != e4
| ( op(e1,e4) = e2
& e4 != unit ) )
& ( op(e1,e3) != e4
| ( op(e1,e4) = e3
& e4 != unit ) )
& ( op(e1,e4) != e4
| ( op(e1,e4) = e4
& e4 != unit ) )
& ( op(e2,e0) != e4
| ( op(e2,e4) = e0
& e4 != unit ) )
& ( op(e2,e1) != e4
| ( op(e2,e4) = e1
& e4 != unit ) )
& ( op(e2,e2) != e4
| ( op(e2,e4) = e2
& e4 != unit ) )
& ( op(e2,e3) != e4
| ( op(e2,e4) = e3
& e4 != unit ) )
& ( op(e2,e4) != e4
| ( op(e2,e4) = e4
& e4 != unit ) )
& ( op(e3,e0) != e4
| ( op(e3,e4) = e0
& e4 != unit ) )
& ( op(e3,e1) != e4
| ( op(e3,e4) = e1
& e4 != unit ) )
& ( op(e3,e2) != e4
| ( op(e3,e4) = e2
& e4 != unit ) )
& ( op(e3,e3) != e4
| ( op(e3,e4) = e3
& e4 != unit ) )
& ( op(e3,e4) != e4
| ( op(e3,e4) = e4
& e4 != unit ) )
& ( op(e4,e0) != e4
| ( op(e4,e4) = e0
& e4 != unit ) )
& ( op(e4,e1) != e4
| ( op(e4,e4) = e1
& e4 != unit ) )
& ( op(e4,e2) != e4
| ( op(e4,e4) = e2
& e4 != unit ) )
& ( op(e4,e3) != e4
| ( op(e4,e4) = e3
& e4 != unit ) )
& ( op(e4,e4) != e4
| ( op(e4,e4) = e4
& e4 != unit ) ) ) )
& ( ( op(e0,e0) = e0
& op(e0,e0) = e0
& op(e0,e0) != e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e0
& op(e0,e1) != e0 )
| ( op(e0,e0) = e2
& op(e2,e2) = e0
& op(e0,e2) != e0 )
| ( op(e0,e0) = e3
& op(e3,e3) = e0
& op(e0,e3) != e0 )
| ( op(e0,e0) = e4
& op(e4,e4) = e0
& op(e0,e4) != e0 )
| ( op(e1,e1) = e0
& op(e0,e0) = e1
& op(e1,e0) != e1 )
| ( op(e1,e1) = e1
& op(e1,e1) = e1
& op(e1,e1) != e1 )
| ( op(e1,e1) = e2
& op(e2,e2) = e1
& op(e1,e2) != e1 )
| ( op(e1,e1) = e3
& op(e3,e3) = e1
& op(e1,e3) != e1 )
| ( op(e1,e1) = e4
& op(e4,e4) = e1
& op(e1,e4) != e1 )
| ( op(e2,e2) = e0
& op(e0,e0) = e2
& op(e2,e0) != e2 )
| ( op(e2,e2) = e1
& op(e1,e1) = e2
& op(e2,e1) != e2 )
| ( op(e2,e2) = e2
& op(e2,e2) = e2
& op(e2,e2) != e2 )
| ( op(e2,e2) = e3
& op(e3,e3) = e2
& op(e2,e3) != e2 )
| ( op(e2,e2) = e4
& op(e4,e4) = e2
& op(e2,e4) != e2 )
| ( op(e3,e3) = e0
& op(e0,e0) = e3
& op(e3,e0) != e3 )
| ( op(e3,e3) = e1
& op(e1,e1) = e3
& op(e3,e1) != e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e3
& op(e3,e2) != e3 )
| ( op(e3,e3) = e3
& op(e3,e3) = e3
& op(e3,e3) != e3 )
| ( op(e3,e3) = e4
& op(e4,e4) = e3
& op(e3,e4) != e3 )
| ( op(e4,e4) = e0
& op(e0,e0) = e4
& op(e4,e0) != e4 )
| ( op(e4,e4) = e1
& op(e1,e1) = e4
& op(e4,e1) != e4 )
| ( op(e4,e4) = e2
& op(e2,e2) = e4
& op(e4,e2) != e4 )
| ( op(e4,e4) = e3
& op(e3,e3) = e4
& op(e4,e3) != e4 )
| ( op(e4,e4) = e4
& op(e4,e4) = e4
& op(e4,e4) != e4 ) ) ),
input ).
fof('ax5_$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,[],[ax5]) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
input ).
fof('ax6_$sk',plain,
( e4 = op(op(e2,e2),op(e2,e2))
& e3 = op(e2,e2)
& e1 = op(op(e2,e2),e2)
& e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)) ),
inference(negpush_and_skolemize,[],[ax6]) ).
fof(ax6,axiom,
( e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2))
& e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e4 = op(op(e2,e2),op(e2,e2)) ),
input ).
fof('ax3_$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 ) ),
inference(negpush_and_skolemize,[],[ax3]) ).
fof(ax3,axiom,
( ( 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_$sk',plain,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
inference(negpush_and_skolemize,[],[ax2]) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
input ).
fof('ax4_$sk',plain,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
inference(negpush_and_skolemize,[],[ax4]) ).
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
input ).
fof('ax1_$sk',plain,
( ( 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 ) ),
inference(negpush_and_skolemize,[],[ax1]) ).
fof(ax1,axiom,
( ( 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 ) ),
input ).
cnf('1',plain,
( op(e4,e4) = e4
| $pr($df110)
| $pr($df109) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
( op(e4,e4) != e4
| $pr($df110)
| $pr($df109) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('3',plain,
( $pr($df110)
| $pr($df109) ),
inference(resolution,[],['1','2']) ).
cnf('4',plain,
( ~ $pr($df110)
| op(e2,e2) = e4
| op(e1,e1) = e4
| $pr($df94)
| $pr($df93) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('5',plain,
e3 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('6',plain,
e0 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('7',plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('8',plain,
e0 = op(op(op(e2,e2),e2),op(op(e2,e2),e2)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('9',plain,
e1 = op(op(e2,e2),e2),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('10',plain,
e1 = op(e3,e2),
inference(simplify,[],['9','7']) ).
cnf('11',plain,
e0 = op(e1,e1),
inference(simplify,[then_simplify],['8','7','10','7','10']) ).
cnf('12',plain,
( ~ $pr($df110)
| $pr($df94)
| $pr($df93) ),
inference(simplify,[then_simplify],['4','5','6','7','11']) ).
cnf('13',plain,
( $pr($df94)
| $pr($df93)
| $pr($df109) ),
inference(resolution,[],['3','12']) ).
cnf('14',plain,
( ~ $pr($df94)
| $pr($df112)
| $pr($df111)
| $pr($df115) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('15',plain,
( $pr($df112)
| $pr($df111)
| $pr($df93)
| $pr($df109)
| $pr($df115) ),
inference(resolution,[],['13','14']) ).
cnf('16',plain,
( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('17',plain,
e4 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('18',plain,
e4 = op(e3,e3),
inference(simplify,[then_simplify],['17','7','7']) ).
cnf('19',plain,
( op(e3,e4) = e0
| e4 = e0
| e1 = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(simplify,[then_simplify],['16','18','10']) ).
cnf('20',plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('21',plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('22',plain,
( op(e0,unit) = unit
| unit = e4
| unit = e3
| unit = e2
| unit = e1 ),
inference(paramodulation,[],['20','21']) ).
cnf('23',plain,
( e0 = unit
| unit = e4
| unit = e3
| unit = e2
| unit = e1 ),
inference(simplify,[],['22','21']) ).
cnf('24',plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('25',plain,
op(e0,e1) != e0,
inference(simplify,[],['24','11']) ).
cnf('26',plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('27',plain,
( unit = e4
| unit = e3
| unit = e2
| e0 = unit ),
inference(paramodulation,[then_simplify],['23','25','26']) ).
cnf('28',plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('29',plain,
op(e1,e2) != e1,
inference(simplify,[],['28','10']) ).
cnf('30',plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('31',plain,
( unit = e4
| unit = e3
| e0 = unit ),
inference(paramodulation,[then_simplify],['27','29','30']) ).
cnf('32',plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('33',plain,
op(e3,e1) != e1,
inference(simplify,[],['32','10']) ).
cnf('34',plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('35',plain,
( unit = e4
| e0 = unit ),
inference(paramodulation,[then_simplify],['31','33','34']) ).
cnf('36',plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('37',plain,
( op(e3,e0) != op(unit,e0)
| e0 = unit ),
inference(paramodulation,[],['35','36']) ).
cnf('38',plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('39',plain,
( op(e3,e0) != e0
| e0 = unit ),
inference(simplify,[],['37','38']) ).
cnf('40',plain,
( op(e3,e4) = e0
| op(e3,e1) = e0
| e4 = e0
| e1 = e0
| e0 = unit ),
inference(resolution,[],['19','39']) ).
cnf('41',plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('42',plain,
e0 != op(e3,e1),
inference(simplify,[],['41','11']) ).
cnf('43',plain,
( op(e3,e4) = e0
| e4 = e0
| e1 = e0
| e0 = unit ),
inference(paramodulation,[],['40','42']) ).
cnf('44',plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('45',plain,
( op(e0,unit) != op(e3,e4)
| e0 = unit ),
inference(paramodulation,[],['35','44']) ).
cnf('46',plain,
( e0 != op(e3,e4)
| e0 = unit ),
inference(simplify,[],['45','21']) ).
cnf('47',plain,
( e4 = e0
| e1 = e0
| e0 = unit ),
inference(paramodulation,[],['43','46']) ).
cnf('48',plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| $pr($df4) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('49',plain,
( op(e0,e0) != e0
| op(e0,e0) = e1
| $pr($df9) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('50',plain,
( op(e0,e0) = e1
| $pr($df4)
| $pr($df9) ),
inference(resolution,[],['48','49']) ).
cnf('51',plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('52',plain,
( op(e4,unit) = unit
| e0 = unit ),
inference(paramodulation,[],['35','51']) ).
cnf('53',plain,
( e4 = unit
| e0 = unit ),
inference(simplify,[],['52','51']) ).
cnf('54',plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('55',plain,
( op(e0,e0) != op(e1,unit)
| e4 = unit ),
inference(paramodulation,[],['53','54']) ).
cnf('56',plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('57',plain,
( op(e0,e0) != e1
| e4 = unit ),
inference(simplify,[],['55','56']) ).
cnf('58',plain,
( $pr($df4)
| $pr($df9)
| e4 = unit ),
inference(resolution,[],['50','57']) ).
cnf('59',plain,
( op(e0,e0) != e0
| ~ $pr($df4) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('60',plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('61',plain,
( ~ $pr($df4)
| e4 = unit ),
inference(paramodulation,[then_simplify],['53','59','60']) ).
cnf('62',plain,
( e4 = unit
| $pr($df9) ),
inference(simplify,[],['58','61']) ).
cnf('63',plain,
e0 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('64',plain,
( e0 != unit
| $pr($df9) ),
inference(paramodulation,[],['62','63']) ).
cnf('65',plain,
( e4 = e0
| e1 = e0
| $pr($df9) ),
inference(resolution,[],['47','64']) ).
cnf('66',plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('67',plain,
( e4 = e0
| $pr($df9) ),
inference(paramodulation,[],['65','66']) ).
cnf('68',plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('69',plain,
$pr($df9),
inference(paramodulation,[],['67','68']) ).
cnf('70',plain,
( ~ $pr($df9)
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('71',plain,
op(e0,e0) = e0,
inference(resolution,[],['69','70']) ).
cnf('72',plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('73',plain,
( op(e0,e0) != op(unit,e0)
| e0 = unit ),
inference(paramodulation,[],['35','72']) ).
cnf('74',plain,
( op(e0,e0) != e0
| e0 = unit ),
inference(simplify,[],['73','38']) ).
cnf('75',plain,
e0 = unit,
inference(resolution,[],['71','74']) ).
cnf('76',plain,
( op(e4,e0) != e4
| ~ $pr($df93) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('77',plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('78',plain,
~ $pr($df93),
inference(paramodulation,[then_simplify],['75','76','77']) ).
cnf('79',plain,
( $pr($df112)
| $pr($df111)
| $pr($df109)
| $pr($df115) ),
inference(simplify,[],['15','78']) ).
cnf('80',plain,
( ~ $pr($df115)
| $pr($df94) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('81',plain,
( $pr($df112)
| $pr($df111)
| $pr($df109)
| $pr($df94) ),
inference(resolution,[],['79','80']) ).
cnf('82',plain,
( op(e4,e4) = e2
| op(e4,e4) = e1
| $pr($df111)
| $pr($df94)
| $pr($df93) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('83',plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('84',plain,
( op(e4,e3) = e1
| e4 = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(simplify,[],['83','18']) ).
cnf('85',plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('86',plain,
( op(unit,e1) != op(e0,e3)
| e4 = unit ),
inference(paramodulation,[],['53','85']) ).
cnf('87',plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('88',plain,
( e1 != op(e0,e3)
| e4 = unit ),
inference(simplify,[],['86','87']) ).
cnf('89',plain,
( op(e4,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| e4 = e1
| e4 = unit ),
inference(paramodulation,[],['84','88']) ).
cnf('90',plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('91',plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('92',plain,
e0 != op(e1,e2),
inference(simplify,[],['91','11']) ).
cnf('93',plain,
( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1 ),
inference(paramodulation,[],['90','92']) ).
cnf('94',plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('95',plain,
e0 != e3,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('96',plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e0) = e3 ),
inference(simplify,[then_simplify],['94','95','11']) ).
cnf('97',plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('98',plain,
( op(e1,e0) != op(e3,unit)
| e4 = unit ),
inference(paramodulation,[],['53','97']) ).
cnf('99',plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('100',plain,
( op(e1,e0) != e3
| e4 = unit ),
inference(simplify,[],['98','99']) ).
cnf('101',plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| e4 = unit ),
inference(resolution,[],['96','100']) ).
cnf('102',plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('103',plain,
op(e1,e2) != e3,
inference(simplify,[],['102','7']) ).
cnf('104',plain,
( op(e1,e4) = e3
| op(e1,e3) = e3
| e4 = unit ),
inference(resolution,[],['101','103']) ).
cnf('105',plain,
op(unit,e3) != op(e1,e3),
inference(paramodulation,[],['75','66']) ).
cnf('106',plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('107',plain,
e3 != op(e1,e3),
inference(simplify,[],['105','106']) ).
cnf('108',plain,
( op(e1,e4) = e3
| e4 = unit ),
inference(paramodulation,[],['104','107']) ).
cnf('109',plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('110',plain,
( op(e0,unit) != op(e3,e0)
| e4 = unit ),
inference(paramodulation,[],['53','109']) ).
cnf('111',plain,
( e0 != op(e3,e0)
| e4 = unit ),
inference(simplify,[],['110','21']) ).
cnf('112',plain,
( op(e3,e4) = e0
| op(e3,e1) = e0
| e4 = e0
| e1 = e0
| e4 = unit ),
inference(paramodulation,[],['19','111']) ).
cnf('113',plain,
( op(e3,e4) = unit
| op(e3,e1) = unit
| e4 = unit
| e1 = unit
| e4 = unit ),
inference(simplify,[then_simplify],['112','75','75','75','75']) ).
cnf('114',plain,
( unit != op(e3,e1)
| e4 = unit ),
inference(paramodulation,[],['53','42']) ).
cnf('115',plain,
( op(e3,e4) = unit
| e4 = unit
| e1 = unit ),
inference(paramodulation,[],['113','114']) ).
cnf('116',plain,
( op(e3,e4) != e0
| e0 != unit
| $pr($df216) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('117',plain,
e0 = unit,
inference(resolution,[],['71','74']) ).
cnf('118',plain,
( op(e3,e4) != unit
| $pr($df216) ),
inference(paramodulation,[then_simplify],['75','116','117']) ).
cnf('119',plain,
( e4 = unit
| e1 = unit
| $pr($df216) ),
inference(resolution,[],['115','118']) ).
cnf('120',plain,
( op(unit,e1) != e0
| e4 = unit ),
inference(paramodulation,[],['53','25']) ).
cnf('121',plain,
( e1 != e0
| e4 = unit ),
inference(simplify,[],['120','87']) ).
cnf('122',plain,
( e1 != unit
| e4 = unit ),
inference(paramodulation,[],['53','121']) ).
cnf('123',plain,
( e4 = unit
| $pr($df216) ),
inference(simplify,[],['119','122']) ).
cnf('124',plain,
( op(e3,e3) != e0
| ~ $pr($df258) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('125',plain,
( e4 != e0
| ~ $pr($df258) ),
inference(simplify,[],['124','18']) ).
cnf('126',plain,
( e4 != unit
| ~ $pr($df258) ),
inference(paramodulation,[],['75','125']) ).
cnf('127',plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('128',plain,
( op(e1,e0) != op(e1,unit)
| e0 = unit ),
inference(paramodulation,[],['35','127']) ).
cnf('129',plain,
( op(e1,e0) != e1
| e0 = unit ),
inference(simplify,[],['128','56']) ).
cnf('130',plain,
( op(e1,e1) != e0
| op(e1,e0) = e1
| $pr($df189) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('131',plain,
( op(e1,e0) = e1
| $pr($df189) ),
inference(simplify,[],['130','11']) ).
cnf('132',plain,
( e0 = unit
| $pr($df189) ),
inference(resolution,[],['129','131']) ).
cnf('133',plain,
( op(e3,e0) != e3
| op(e3,e3) = e0
| $pr($df258) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('134',plain,
( op(e3,e0) != e3
| e4 = e0
| $pr($df258) ),
inference(simplify,[],['133','18']) ).
cnf('135',plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('136',plain,
( e4 = e0
| $pr($df189)
| $pr($df258) ),
inference(paramodulation,[then_simplify],['132','134','135']) ).
cnf('137',plain,
unit != e4,
inference(paramodulation,[],['75','63']) ).
cnf('138',plain,
( op(e1,e0) != e1
| ~ $pr($df189) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('139',plain,
~ $pr($df189),
inference(paramodulation,[then_simplify],['75','138','30']) ).
cnf('140',plain,
op(e0,e0) = unit,
inference(paramodulation,[],['75','71']) ).
cnf('141',plain,
op(unit,unit) = unit,
inference(simplify,[then_simplify],['140','75','75']) ).
cnf('142',plain,
( op(unit,unit) = e0
| unit = e4
| unit = e3
| unit = e2
| unit = e1 ),
inference(paramodulation,[],['20','21']) ).
cnf('143',plain,
unit != e4,
inference(paramodulation,[],['75','63']) ).
cnf('144',plain,
e0 != e3,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('145',plain,
unit != e3,
inference(paramodulation,[],['75','144']) ).
cnf('146',plain,
e0 != e2,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('147',plain,
unit != e2,
inference(paramodulation,[],['75','146']) ).
cnf('148',plain,
e0 != e1,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('149',plain,
unit != e1,
inference(paramodulation,[],['75','148']) ).
cnf('150',plain,
unit = e0,
inference(paramodulation,[then_simplify],['141','142','143','145','147','149']) ).
cnf('151',plain,
$pr($df258),
inference(paramodulation,[then_simplify],['136','137','139','150']) ).
cnf('152',plain,
e4 != unit,
inference(simplify,[],['126','151']) ).
cnf('153',plain,
$pr($df216),
inference(resolution,[],['123','152']) ).
cnf('154',plain,
( ~ $pr($df216)
| op(e3,e4) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('155',plain,
op(e3,e4) = e0,
inference(resolution,[],['153','154']) ).
cnf('156',plain,
op(e3,e4) = unit,
inference(simplify,[],['155','75']) ).
cnf('157',plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('158',plain,
e4 != op(e3,e4),
inference(simplify,[],['157','18']) ).
cnf('159',plain,
e4 != unit,
inference(paramodulation,[],['156','158']) ).
cnf('160',plain,
op(e1,e4) = e3,
inference(simplify,[],['108','159']) ).
cnf('161',plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('162',plain,
op(e1,e2) != e3,
inference(paramodulation,[],['160','161']) ).
cnf('163',plain,
( op(e1,e2) = e4
| op(e1,e2) = e2
| op(e1,e2) = e1 ),
inference(simplify,[],['93','162']) ).
cnf('164',plain,
( op(e1,e2) = e4
| op(e1,e2) = e2 ),
inference(resolution,[],['163','29']) ).
cnf('165',plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('166',plain,
op(unit,e2) != op(e1,e2),
inference(paramodulation,[],['75','165']) ).
cnf('167',plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('168',plain,
e2 != op(e1,e2),
inference(simplify,[],['166','167']) ).
cnf('169',plain,
op(e1,e2) = e4,
inference(paramodulation,[],['164','168']) ).
cnf('170',plain,
e4 != e1,
inference(paramodulation,[],['169','29']) ).
cnf('171',plain,
( op(e4,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1 ),
inference(simplify,[then_simplify],['89','170','159']) ).
cnf('172',plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('173',plain,
( op(e1,unit) != op(e1,e3)
| unit = e4
| unit = e3
| unit = e2
| unit = e1 ),
inference(paramodulation,[],['20','172']) ).
cnf('174',plain,
( e1 != op(e1,e3)
| unit = e4
| unit = e3
| unit = e2
| unit = e1 ),
inference(simplify,[],['173','56']) ).
cnf('175',plain,
( op(e4,e3) = e1
| op(e2,e3) = e1 ),
inference(paramodulation,[then_simplify],['171','174','143','145','147','149']) ).
cnf('176',plain,
( op(e2,e3) != e1
| ~ $pr($df125)
| op(e2,e1) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('177',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('178',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e0,e1) = e3 ),
inference(simplify,[then_simplify],['177','95','11']) ).
cnf('179',plain,
( op(e0,e1) != op(unit,e3)
| e4 = unit ),
inference(paramodulation,[],['53','85']) ).
cnf('180',plain,
( op(e0,e1) != e3
| e4 = unit ),
inference(simplify,[],['179','106']) ).
cnf('181',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| e4 = unit ),
inference(resolution,[],['178','180']) ).
cnf('182',plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('183',plain,
op(e2,e1) != e3,
inference(simplify,[],['182','7']) ).
cnf('184',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| e4 = unit ),
inference(resolution,[],['181','183']) ).
cnf('185',plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('186',plain,
op(e3,unit) != op(e3,e1),
inference(paramodulation,[],['75','185']) ).
cnf('187',plain,
e3 != op(e3,e1),
inference(simplify,[],['186','99']) ).
cnf('188',plain,
( op(e4,e1) = e3
| e4 = unit ),
inference(paramodulation,[],['184','187']) ).
cnf('189',plain,
op(e4,e1) = e3,
inference(simplify,[],['188','159']) ).
cnf('190',plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('191',plain,
op(e2,e1) != e3,
inference(paramodulation,[],['189','190']) ).
cnf('192',plain,
( ~ $pr($df125)
| op(e4,e3) = e1 ),
inference(resolution,[then_simplify],['175','176','191']) ).
cnf('193',plain,
( op(e2,e0) != e2
| ~ $pr($df278)
| op(e2,e2) = e0
| $pr($df176)
| $pr($df125) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('194',plain,
( op(e2,e0) != e2
| ~ $pr($df278)
| e3 = e0
| $pr($df176)
| $pr($df125) ),
inference(simplify,[],['193','7']) ).
cnf('195',plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('196',plain,
( op(e1,e1) != e0
| e0 != unit
| ~ $pr($df176) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('197',plain,
( e0 != unit
| ~ $pr($df176) ),
inference(simplify,[],['196','11']) ).
cnf('198',plain,
~ $pr($df176),
inference(resolution,[],['75','197']) ).
cnf('199',plain,
( ~ $pr($df278)
| e3 = e0
| $pr($df125) ),
inference(paramodulation,[then_simplify],['75','194','195','198']) ).
cnf('200',plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('201',plain,
op(e3,unit) != op(e3,e4),
inference(paramodulation,[],['75','200']) ).
cnf('202',plain,
e3 != op(e3,e4),
inference(simplify,[],['201','99']) ).
cnf('203',plain,
e3 != unit,
inference(paramodulation,[],['156','202']) ).
cnf('204',plain,
( ~ $pr($df278)
| $pr($df125) ),
inference(simplify,[then_simplify],['199','203','75']) ).
cnf('205',plain,
( op(e3,e3) != e4
| op(e3,e4) = e3
| $pr($df227)
| $pr($df278) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('206',plain,
( op(e3,e4) = e3
| $pr($df227)
| $pr($df278) ),
inference(simplify,[],['205','18']) ).
cnf('207',plain,
( $pr($df189)
| $pr($df258) ),
inference(paramodulation,[],['136','68']) ).
cnf('208',plain,
( ~ $pr($df258)
| op(e3,e0) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('209',plain,
( op(e3,e0) = e3
| $pr($df189) ),
inference(resolution,[],['207','208']) ).
cnf('210',plain,
( e3 != op(e3,e4)
| $pr($df189) ),
inference(paramodulation,[],['209','200']) ).
cnf('211',plain,
( $pr($df227)
| $pr($df189)
| $pr($df278) ),
inference(paramodulation,[],['206','210']) ).
cnf('212',plain,
( op(e3,e3) != e4
| e4 != unit
| $pr($df227)
| $pr($df278) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('213',plain,
( e4 != unit
| $pr($df227)
| $pr($df278) ),
inference(simplify,[],['212','18']) ).
cnf('214',plain,
( e0 = unit
| $pr($df227)
| $pr($df278) ),
inference(paramodulation,[],['35','213']) ).
cnf('215',plain,
( ~ $pr($df189)
| $pr($df227)
| $pr($df278) ),
inference(paramodulation,[then_simplify],['214','138','30']) ).
cnf('216',plain,
( $pr($df227)
| $pr($df278) ),
inference(resolution,[],['211','215']) ).
cnf('217',plain,
( $pr($df227)
| $pr($df125) ),
inference(resolution,[],['204','216']) ).
cnf('218',plain,
( op(e4,e3) = e1
| $pr($df227) ),
inference(resolution,[],['192','217']) ).
cnf('219',plain,
( op(e4,e1) != e3
| ~ $pr($df227)
| op(e4,e3) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('220',plain,
( ~ $pr($df227)
| op(e4,e3) = e1 ),
inference(resolution,[],['189','219']) ).
cnf('221',plain,
op(e4,e3) = e1,
inference(simplify,[],['218','220']) ).
cnf('222',plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('223',plain,
e1 != op(e4,e4),
inference(paramodulation,[],['221','222']) ).
cnf('224',plain,
( op(e4,e4) = e2
| $pr($df111)
| $pr($df94) ),
inference(paramodulation,[then_simplify],['82','223','78']) ).
cnf('225',plain,
( op(e4,e4) != e2
| ~ $pr($df112) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('226',plain,
( $pr($df111)
| $pr($df94)
| ~ $pr($df112) ),
inference(resolution,[],['224','225']) ).
cnf('227',plain,
( ~ $pr($df112)
| ~ $pr($df94) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('228',plain,
( ~ $pr($df112)
| $pr($df111) ),
inference(simplify,[],['226','227']) ).
cnf('229',plain,
( $pr($df111)
| $pr($df94)
| $pr($df109) ),
inference(simplify,[],['81','228']) ).
cnf('230',plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('231',plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('232',plain,
( op(e2,unit) != op(e4,e0)
| e4 = unit ),
inference(paramodulation,[],['53','231']) ).
cnf('233',plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('234',plain,
( e2 != op(e4,e0)
| e4 = unit ),
inference(simplify,[],['232','233']) ).
cnf('235',plain,
( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| e4 = unit ),
inference(paramodulation,[],['230','234']) ).
cnf('236',plain,
e1 != e2,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('237',plain,
( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('238',plain,
( op(e4,e2) = e0
| e1 = e0
| e3 = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(simplify,[then_simplify],['237','10','7']) ).
cnf('239',plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('240',plain,
( op(e0,unit) != op(e0,e2)
| e4 = unit ),
inference(paramodulation,[],['53','239']) ).
cnf('241',plain,
( e0 != op(e0,e2)
| e4 = unit ),
inference(simplify,[],['240','21']) ).
cnf('242',plain,
( op(e4,e2) = e0
| op(e1,e2) = e0
| e3 = e0
| e1 = e0
| e4 = unit ),
inference(paramodulation,[],['238','241']) ).
cnf('243',plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('244',plain,
e1 != op(e3,e4),
inference(simplify,[],['243','10']) ).
cnf('245',plain,
e1 != unit,
inference(paramodulation,[],['156','244']) ).
cnf('246',plain,
( op(e4,e2) = unit
| op(e1,e2) = unit ),
inference(simplify,[then_simplify],['242','203','245','159','75','75','75','75']) ).
cnf('247',plain,
unit != op(e1,e2),
inference(paramodulation,[],['75','92']) ).
cnf('248',plain,
op(e4,e2) = unit,
inference(paramodulation,[],['246','247']) ).
cnf('249',plain,
( op(e4,e4) = e2
| e3 = e2 ),
inference(simplify,[then_simplify],['235','236','147','159','221','248','189']) ).
cnf('250',plain,
( op(e4,e4) != e2
| ~ $pr($df111) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('251',plain,
( ~ $pr($df111)
| e3 = e2 ),
inference(resolution,[],['249','250']) ).
cnf('252',plain,
( e3 = e2
| $pr($df94)
| $pr($df109) ),
inference(resolution,[],['229','251']) ).
cnf('253',plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('254',plain,
op(e4,e2) != e1,
inference(paramodulation,[],['221','253']) ).
cnf('255',plain,
( $pr($df94)
| $pr($df109) ),
inference(paramodulation,[then_simplify],['252','221','254']) ).
cnf('256',plain,
( ~ $pr($df94)
| op(e4,e4) = e3
| op(e3,e3) = e3
| $pr($df78)
| $pr($df77) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('257',plain,
( ~ $pr($df94)
| op(e4,e4) = e3
| e4 = e3
| $pr($df78)
| $pr($df77) ),
inference(simplify,[],['256','18']) ).
cnf('258',plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('259',plain,
op(unit,e4) != op(e1,e4),
inference(paramodulation,[],['75','258']) ).
cnf('260',plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('261',plain,
e4 != op(e1,e4),
inference(simplify,[],['259','260']) ).
cnf('262',plain,
e4 != e3,
inference(paramodulation,[],['160','261']) ).
cnf('263',plain,
( $pr($df109)
| op(e4,e4) = e3
| $pr($df78)
| $pr($df77) ),
inference(resolution,[then_simplify],['255','257','262']) ).
cnf('264',plain,
( ~ $pr($df109)
| op(e4,e4) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('265',plain,
( op(e4,e4) = e3
| $pr($df78)
| $pr($df77) ),
inference(simplify,[],['263','264']) ).
cnf('266',plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('267',plain,
e3 != op(e4,e4),
inference(paramodulation,[],['160','266']) ).
cnf('268',plain,
( $pr($df78)
| $pr($df77) ),
inference(paramodulation,[],['265','267']) ).
cnf('269',plain,
( op(e3,e0) != e3
| ~ $pr($df78)
| op(e1,e1) = e3
| $pr($df62)
| $pr($df61) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('270',plain,
( op(e3,e0) != e3
| ~ $pr($df78)
| $pr($df62)
| $pr($df61) ),
inference(simplify,[then_simplify],['269','95','11']) ).
cnf('271',plain,
( ~ $pr($df78)
| $pr($df62)
| $pr($df61) ),
inference(paramodulation,[then_simplify],['75','270','135']) ).
cnf('272',plain,
( $pr($df77)
| $pr($df62)
| $pr($df61) ),
inference(resolution,[],['268','271']) ).
cnf('273',plain,
( ~ $pr($df77)
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('274',plain,
( ~ $pr($df77)
| e4 = e2 ),
inference(simplify,[],['273','18']) ).
cnf('275',plain,
( e4 = e2
| $pr($df62)
| $pr($df61) ),
inference(resolution,[],['272','274']) ).
cnf('276',plain,
( op(e0,unit) = unit
| e4 = unit ),
inference(paramodulation,[],['53','21']) ).
cnf('277',plain,
( e0 = unit
| e4 = unit ),
inference(simplify,[],['276','21']) ).
cnf('278',plain,
( op(e4,e0) != e2
| ~ $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('279',plain,
( op(e4,unit) != e2
| ~ $pr($df221)
| e4 = unit ),
inference(paramodulation,[],['277','278']) ).
cnf('280',plain,
( op(e4,e2) != e0
| op(e4,e0) = e2
| $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('281',plain,
( op(e4,e0) = e2
| $pr($df221) ),
inference(paramodulation,[then_simplify],['248','280','150']) ).
cnf('282',plain,
( e4 = e2
| $pr($df221) ),
inference(simplify,[then_simplify],['281','75','51']) ).
cnf('283',plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('284',plain,
e3 != op(e4,e2),
inference(simplify,[],['283','7']) ).
cnf('285',plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('286',plain,
$pr($df221),
inference(paramodulation,[then_simplify],['282','284','285']) ).
cnf('287',plain,
e4 != e2,
inference(simplify,[then_simplify],['279','286','159','51']) ).
cnf('288',plain,
( $pr($df62)
| $pr($df61) ),
inference(resolution,[],['275','287']) ).
cnf('289',plain,
( ~ $pr($df62)
| op(e3,e3) = e2
| op(e2,e2) = e2
| $pr($df46)
| $pr($df45) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('290',plain,
( ~ $pr($df62)
| e4 = e2
| e3 = e2
| $pr($df46)
| $pr($df45) ),
inference(simplify,[then_simplify],['289','18','7']) ).
cnf('291',plain,
( $pr($df61)
| e4 = e2
| e3 = e2
| $pr($df46)
| $pr($df45) ),
inference(resolution,[],['288','290']) ).
cnf('292',plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('293',plain,
op(unit,e4) != op(e4,e4),
inference(paramodulation,[],['75','292']) ).
cnf('294',plain,
e4 != op(e4,e4),
inference(simplify,[],['293','260']) ).
cnf('295',plain,
( e4 != e2
| e3 = e2 ),
inference(paramodulation,[],['249','294']) ).
cnf('296',plain,
( e3 = e2
| $pr($df46)
| $pr($df45)
| $pr($df61) ),
inference(simplify,[],['291','295']) ).
cnf('297',plain,
( $pr($df46)
| $pr($df45)
| $pr($df61) ),
inference(paramodulation,[then_simplify],['296','221','254']) ).
cnf('298',plain,
( ~ $pr($df61)
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('299',plain,
~ $pr($df61),
inference(simplify,[then_simplify],['298','5','7']) ).
cnf('300',plain,
( $pr($df46)
| $pr($df45) ),
inference(resolution,[],['297','299']) ).
cnf('301',plain,
( op(e2,e0) != e2
| ~ $pr($df46)
| op(e1,e1) = e4
| $pr($df30)
| $pr($df29) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('302',plain,
( op(e2,e0) != e2
| ~ $pr($df46)
| $pr($df30)
| $pr($df29) ),
inference(simplify,[then_simplify],['301','6','11']) ).
cnf('303',plain,
( ~ $pr($df46)
| $pr($df30)
| $pr($df29) ),
inference(paramodulation,[then_simplify],['75','302','195']) ).
cnf('304',plain,
( $pr($df30)
| $pr($df29)
| $pr($df45) ),
inference(resolution,[],['300','303']) ).
cnf('305',plain,
( ~ $pr($df45)
| op(e1,e1) = e2 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('306',plain,
e0 != e2,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('307',plain,
~ $pr($df45),
inference(simplify,[then_simplify],['305','306','11']) ).
cnf('308',plain,
( $pr($df30)
| $pr($df29) ),
inference(resolution,[],['304','307']) ).
cnf('309',plain,
( ~ $pr($df30)
| op(e1,e1) = e2
| op(e1,e1) = e1
| $pr($df14)
| $pr($df13) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('310',plain,
e0 != e1,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('311',plain,
( ~ $pr($df30)
| $pr($df14)
| $pr($df13) ),
inference(simplify,[then_simplify],['309','306','310','11','11']) ).
cnf('312',plain,
( op(e1,e0) != e1
| ~ $pr($df13) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('313',plain,
~ $pr($df13),
inference(paramodulation,[then_simplify],['75','312','30']) ).
cnf('314',plain,
( $pr($df29)
| $pr($df14) ),
inference(resolution,[then_simplify],['308','311','313']) ).
cnf('315',plain,
( ~ $pr($df29)
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('316',plain,
~ $pr($df29),
inference(simplify,[then_simplify],['315','95','11']) ).
cnf('317',plain,
$pr($df14),
inference(resolution,[],['314','316']) ).
cnf('318',plain,
( ~ $pr($df14)
| op(e3,e3) = e0
| op(e0,e0) = e4
| $pr($df1)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('319',plain,
( ~ $pr($df14)
| e4 = e0
| op(e0,e0) = e4
| $pr($df1)
| $pr($df2) ),
inference(simplify,[],['318','18']) ).
cnf('320',plain,
( op(e0,e0) = e4
| e4 = e0
| $pr($df1)
| $pr($df2) ),
inference(resolution,[],['317','319']) ).
cnf('321',plain,
( $pr($df1)
| $pr($df2) ),
inference(simplify,[then_simplify],['320','143','159','75','75','141','75']) ).
cnf('322',plain,
( op(e0,e0) != e0
| ~ $pr($df2)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('323',plain,
( ~ $pr($df2)
| op(e0,e0) = e1 ),
inference(resolution,[],['71','322']) ).
cnf('324',plain,
~ $pr($df2),
inference(simplify,[then_simplify],['323','149','75','75','141']) ).
cnf('325',plain,
$pr($df1),
inference(resolution,[],['321','324']) ).
cnf('326',plain,
( ~ $pr($df1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('327',plain,
op(e0,e0) = e2,
inference(resolution,[],['325','326']) ).
cnf('328',plain,
$false,
inference(simplify,[then_simplify],['327','147','75','75','141']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG058+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:49:36 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.42
% 0.20/0.42 input clause set summed statistics:
% 0.20/0.42 ----------------------------------
% 0.20/0.42 in_clause_count: 1785
% 0.20/0.42 in_rule_clause_count: 1785
% 0.20/0.42 in_fact_clause_count: 0
% 0.20/0.42 in_answer_clause_count: 0
% 0.20/0.42 in_ground_clause_count: 1785
% 0.20/0.42 in_unit_clause_count: 124
% 0.20/0.42 in_horn_clause_count: 1199
% 0.20/0.42 in_pos_clause_count: 144
% 0.20/0.42 in_neg_clause_count: 646
% 0.20/0.42 in_poseq_clause_count: 825
% 0.20/0.42 in_negeq_clause_count: 861
% 0.20/0.42 in_unitposeq_clause_count: 14
% 0.20/0.42 in_chain_clause_count: 0
% 0.20/0.42 in_min_length: 1
% 0.20/0.42 in_max_length: 51
% 0.20/0.42 in_min_depth: 1
% 0.20/0.42 in_max_depth: 4
% 0.20/0.42 in_min_size: 3
% 0.20/0.42 in_max_size: 102
% 0.20/0.42 in_min_vars: 0
% 0.20/0.42 in_max_vars: 0
% 0.20/0.42 in_extaxiom_count: 0
% 0.20/0.42 in_axiom_count: 200
% 0.20/0.42 in_assumption_count: 0
% 0.20/0.42 in_goal_count: 1585
% 0.20/0.42 in_neg_goal_count: 536
% 0.20/0.42 in_pos_goal_count: 54
% 0.20/0.42 in_posunit_goal_count: 0
% 0.20/0.42
% 0.20/0.42 auto guide:
% 0.20/0.42 -----------
% 0.20/0.42 {
% 0.20/0.42 "print":1,
% 0.20/0.42 "print_level": 15,
% 0.20/0.42 "max_size": 0,
% 0.20/0.42 "max_depth": 0,
% 0.20/0.42 "max_length": 0,
% 0.20/0.42 "max_dseconds": 0,
% 0.20/0.42 "runs":[
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.42 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.42 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.42 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.42 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.42 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.42 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.42 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.42 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.42 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.42 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.42 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.42 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.42 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.42 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.42
% 0.20/0.42 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.42 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.42 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
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% 0.20/0.60
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% 0.20/0.79
% 0.20/0.79 **** run 22 fork 5 starts with strategy
% 0.20/0.79 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.20/0.79
% 0.20/0.79 fork 6: search finished without proof.
% 2.60/0.80
% 2.60/0.80
% 2.60/0.80 fork 0: search terminated without proof.
% 2.60/0.80
% 2.60/0.80
% 2.60/0.80 fork 2: search terminated without proof.
% 2.60/0.82
% 2.60/0.82 **** run 31 fork 6 starts with strategy
% 2.60/0.82 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.60/0.82
% 2.60/0.82 **** run 25 fork 0 starts with strategy
% 2.60/0.82 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 2.60/0.83
% 2.60/0.83 **** run 27 fork 2 starts with strategy
% 2.60/0.83 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.60/0.83
% 2.60/0.83 **** run 18 fork 1 starts with strategy
% 2.60/0.83 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 3.37/0.88
% 3.37/0.88
% 3.37/0.88 fork 3: search terminated without proof.
% 3.37/0.89
% 3.37/0.89
% 3.37/0.89 fork 7: search terminated without proof.
% 3.37/0.90
% 3.37/0.90 **** run 28 fork 3 starts with strategy
% 3.37/0.90 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.37/0.91
% 3.37/0.91
% 3.37/0.91 fork 4: search terminated without proof.
% 3.86/0.91
% 3.86/0.91 **** run 32 fork 7 starts with strategy
% 3.86/0.91 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.86/0.92
% 3.86/0.92 **** run 29 fork 4 starts with strategy
% 3.86/0.92 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.86/0.94
% 3.86/0.94
% 3.86/0.94 fork 5: search terminated without proof.
% 3.86/0.95
% 3.86/0.95 fork 0: search finished without proof.
% 3.86/0.95
% 3.86/0.95
% 3.86/0.95 fork 6: search terminated without proof.
% 3.86/0.96
% 3.86/0.96
% 3.86/0.96 fork 2: search terminated without proof.
% 4.26/0.96
% 4.26/0.96 **** run 30 fork 5 starts with strategy
% 4.26/0.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 4.26/0.97
% 4.26/0.97 **** run 33 fork 0 starts with strategy
% 4.26/0.97 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 4.26/0.98
% 4.26/0.98 **** run 39 fork 6 starts with strategy
% 4.26/0.98 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 4.26/0.98
% 4.26/0.98 **** run 35 fork 2 starts with strategy
% 4.26/0.98 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 4.26/0.98
% 4.26/0.98
% 4.26/0.98 fork 1: search terminated without proof.
% 4.26/1.01
% 4.26/1.01 **** run 26 fork 1 starts with strategy
% 4.26/1.01 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 4.26/1.03
% 4.26/1.03
% 4.26/1.03 fork 3: search terminated without proof.
% 4.26/1.04
% 4.26/1.04
% 4.26/1.04 fork 7: search terminated without proof.
% 4.97/1.05
% 4.97/1.05 fork 4: search finished without proof.
% 4.97/1.05
% 4.97/1.05 **** run 36 fork 3 starts with strategy
% 4.97/1.05 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 4.97/1.06
% 4.97/1.06 **** run 40 fork 7 starts with strategy
% 4.97/1.06 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 4.97/1.07
% 4.97/1.07 **** run 37 fork 4 starts with strategy
% 4.97/1.07 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 5.24/1.09
% 5.24/1.09 fork 5: search finished without proof.
% 5.24/1.10
% 5.24/1.10 fork 0: search finished without proof.
% 5.24/1.10
% 5.24/1.10 fork 2: search finished without proof.
% 5.24/1.11
% 5.24/1.11
% 5.24/1.11 fork 6: search terminated without proof.
% 5.24/1.11
% 5.24/1.11 **** run 38 fork 5 starts with strategy
% 5.24/1.11 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.24/1.12
% 5.24/1.12 **** run 41 fork 0 starts with strategy
% 5.24/1.12 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 5.24/1.12
% 5.24/1.12 **** run 43 fork 2 starts with strategy
% 5.24/1.12 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.24/1.13
% 5.24/1.13 **** run 47 fork 6 starts with strategy
% 5.24/1.13 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.66/1.14
% 5.66/1.14
% 5.66/1.14 fork 1: search terminated without proof.
% 5.74/1.16
% 5.74/1.16 **** run 34 fork 1 starts with strategy
% 5.74/1.16 {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 5.74/1.18
% 5.74/1.18 fork 3: search finished without proof.
% 5.74/1.19
% 5.74/1.19 fork 7: search finished without proof.
% 5.74/1.20
% 5.74/1.20 **** run 44 fork 3 starts with strategy
% 5.74/1.20 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 5.74/1.20
% 5.74/1.20 fork 4: search finished without proof.
% 5.74/1.20
% 5.74/1.20 fork 1: search finished without proof.
% 5.74/1.20
% 5.74/1.20 **** run 48 fork 7 starts with strategy
% 5.74/1.20 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.26/1.22
% 6.26/1.22 **** run 45 fork 4 starts with strategy
% 6.26/1.22 {"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}
% 6.26/1.23
% 6.26/1.23 **** run 42 fork 1 starts with strategy
% 6.26/1.23 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 6.26/1.23
% 6.26/1.23 fork 5: search finished without proof.
% 6.26/1.25
% 6.26/1.25
% 6.26/1.25 fork 0: search terminated without proof.
% 6.26/1.25
% 6.26/1.25
% 6.26/1.25 fork 2: search terminated without proof.
% 6.26/1.25
% 6.26/1.25 **** run 46 fork 5 starts with strategy
% 6.26/1.25 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.26/1.25
% 6.26/1.25 fork 6: search finished without proof.
% 6.65/1.27
% 6.65/1.27 **** run 49 fork 0 starts with strategy
% 6.65/1.27 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.65/1.27
% 6.65/1.27 **** run 51 fork 2 starts with strategy
% 6.65/1.27 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.65/1.28
% 6.65/1.28 **** run 55 fork 6 starts with strategy
% 6.65/1.28 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.65/1.33
% 6.65/1.33
% 6.65/1.33 fork 3: search terminated without proof.
% 6.65/1.33
% 6.65/1.33
% 6.65/1.33 fork 7: search terminated without proof.
% 6.65/1.34
% 6.65/1.34 **** run 52 fork 3 starts with strategy
% 6.65/1.34 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.65/1.35
% 6.65/1.35 **** run 56 fork 7 starts with strategy
% 6.65/1.35 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.65/1.36
% 6.65/1.36
% 6.65/1.36 fork 4: search terminated without proof.
% 6.65/1.36
% 6.65/1.36
% 6.65/1.36 fork 1: search terminated without proof.
% 6.65/1.37
% 6.65/1.37 fork 5: search finished without proof.
% 6.65/1.39
% 6.65/1.39 **** run 50 fork 1 starts with strategy
% 6.65/1.39 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.65/1.39
% 6.65/1.39 **** run 53 fork 4 starts with strategy
% 6.65/1.39 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 6.65/1.39
% 6.65/1.39 **** run 54 fork 5 starts with strategy
% 6.65/1.39 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.65/1.40
% 6.65/1.40 fork 0: search finished without proof.
% 6.65/1.40
% 6.65/1.40 fork 6: search finished without proof.
% 6.65/1.40
% 6.65/1.40
% 6.65/1.40 fork 2: search terminated without proof.
% 6.65/1.42
% 6.65/1.42 **** run 57 fork 0 starts with strategy
% 6.65/1.42 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.65/1.43
% 6.65/1.43 **** run 63 fork 6 starts with strategy
% 6.65/1.43 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 6.65/1.43
% 6.65/1.43 **** run 59 fork 2 starts with strategy
% 6.65/1.43 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 7.76/1.47
% 7.76/1.47 fork 7: search finished without proof.
% 7.76/1.49
% 7.76/1.49 **** run 64 fork 7 starts with strategy
% 7.76/1.49 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.53/1.53
% 8.53/1.53
% 8.53/1.53 fork 5: search terminated without proof.
% 8.53/1.53
% 8.53/1.53
% 8.53/1.53 fork 1: search terminated without proof.
% 8.53/1.54
% 8.53/1.54 fork 0: search finished without proof.
% 8.53/1.54
% 8.53/1.54
% 8.53/1.54 fork 3: search terminated without proof.
% 8.53/1.54
% 8.53/1.54 **** run 62 fork 5 starts with strategy
% 8.53/1.54 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.53/1.56
% 8.53/1.56
% 8.53/1.56 fork 4: search terminated without proof.
% 8.53/1.56
% 8.53/1.56 **** run 58 fork 1 starts with strategy
% 8.53/1.56 {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 8.53/1.56
% 8.53/1.56 **** run 60 fork 3 starts with strategy
% 8.53/1.56 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.93/1.56
% 8.93/1.56 **** run 65 fork 0 starts with strategy
% 8.93/1.56 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 8.93/1.58
% 8.93/1.58 **** run 61 fork 4 starts with strategy
% 8.93/1.58 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.93/1.59
% 8.93/1.59 fork 1: search finished without proof.
% 8.93/1.61
% 8.93/1.61 **** run 66 fork 1 starts with strategy
% 8.93/1.61 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 15.61/2.46
% 15.61/2.46
% 15.61/2.46 fork 6: search terminated without proof.
% 15.61/2.46
% 15.61/2.46
% 15.61/2.46 fork 2: search terminated without proof.
% 15.61/2.48
% 15.61/2.48 **** run 67 fork 2 starts with strategy
% 15.61/2.48 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 15.61/2.48
% 15.61/2.48 **** run 71 fork 6 starts with strategy
% 15.61/2.48 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 15.61/2.50
% 15.61/2.50
% 15.61/2.50 result: proof found
% 15.61/2.50 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.61/2.50 by run 64 fork 7 strategy {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 15.61/2.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.61/2.50
% 15.61/2.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.61/2.51
% 15.61/2.51 run 64 fork 7 statistics:
% 15.61/2.51 ----------------------------------
% 15.61/2.51 this run seconds: 0.719451
% 15.61/2.51 total seconds: 1.805414
% 15.61/2.51 stat_given_used: 3281
% 15.61/2.51 stat_given_used_at_endgame: 0
% 15.61/2.51 stat_given_candidates: 43405
% 15.61/2.51 stat_given_candidates_at_endgame: 0
% 15.61/2.51 stat_given_candidates_h: 0
% 15.61/2.51 stat_binres_derived_cl: 3316
% 15.61/2.51 stat_binres_derived_cl_h: 0
% 15.61/2.51 stat_factor_derived_cl: 1
% 15.61/2.51 stat_para_derived_cl: 77231
% 15.61/2.51 stat_tautologies_discarded: 1134
% 15.61/2.51 stat_forward_subsumed: 17776
% 15.61/2.51 stat_derived_cut: 7751
% 15.61/2.51 stat_derived_rewritten: 5062
% 15.61/2.51 stat_weight_discarded_building: 0
% 15.61/2.51 stat_weight_discarded_cl: 1267
% 15.61/2.51 stat_internlimit_discarded_cl: 0
% 15.61/2.51 stat_simplified: 5999 simplified 0 derived 0 given
% 15.61/2.51 stat_kept_cl: 58747
% 15.61/2.51 stat_built_cl: 72574
% 15.61/2.51 stat_hyperres_partial_cl: 0
% 15.61/2.51 stat_made_rewriters: 26
% 15.61/2.51 stat_backward_subsumed: 0
% 15.61/2.51 stat_propagated_subsumed: 0
% 15.61/2.51 stat_clsubs_attempted: 48793
% 15.61/2.51 stat_clsubs_fact_groundunit_found: 12
% 15.61/2.51 stat_clsubs_rule_groundunit_found: 1216
% 15.61/2.51 stat_clsubs_top_meta_attempted: 22961873
% 15.61/2.51 stat_clsubs_top_meta_failed: 22913080
% 15.61/2.51 stat_clsubs_top_meta_nonpref_attempted: 22961873
% 15.61/2.51 stat_clsubs_top_meta_nonpref_succeeded: 5002311
% 15.61/2.51 stat_clsubs_top_meta_pref_attempted: 5002311
% 15.61/2.51 stat_clsubs_top_meta_pref1_succeeded: 2319554
% 15.61/2.51 stat_clsubs_top_meta_pref2_succeeded: 118990
% 15.61/2.51 stat_clsubs_top_meta_pref3_succeeded: 48793
% 15.61/2.51 stat_clsubs_top_meta_pref_succeeded: 48793
% 15.61/2.51 stat_clsubs_meta_attempted: 102870
% 15.61/2.51 stat_clsubs_meta_failed: 69876
% 15.61/2.51 stat_clsubs_predsymbs_attempted: 0
% 15.61/2.51 stat_clsubs_unit_attempted: 0
% 15.61/2.51 stat_clsubs_full_attempted: 48793
% 15.61/2.51 stat_forwardsubs_attempted: 77790
% 15.61/2.51 stat_lit_hash_added: 13074
% 15.61/2.51 stat_lit_hash_computed: 541575
% 15.61/2.51 stat_lit_hash_match_found: 63588
% 15.61/2.51 stat_lit_hash_match_miss: 806940
% 15.61/2.51 stat_lit_hash_cut_ok: 21369
% 15.61/2.51 stat_lit_strong_cut_ok: 0
% 15.61/2.51 stat_lit_hash_subsume_ok: 17776
% 15.61/2.51 clqueue els 10000000 used 1
% 15.61/2.51 clactive els 10000000 used 3282
% 15.61/2.51 clactivesubsume els 10000000 used 18037
% 15.61/2.51 queue_termbuf els 200000000 used 4328528
% 15.61/2.51 hyper_termbuf els 100000000 used 1
% 15.61/2.51 active_termbuf els 100000000 used 103768
% 15.61/2.51 varstack els 5000 last used 1
% 15.61/2.51 given_termbuf els 10000000 last used 1
% 15.61/2.51 simplified_termbuf els 10000000 last used 1
% 15.61/2.51 derived_termbuf els 10000000 last used 3
% 15.61/2.51 wr_mallocs: 21456
% 15.61/2.51 wr_callocs: 21
% 15.61/2.51 wr_reallocs: 2694
% 15.61/2.51 wr_frees: 4
% 15.61/2.51 wr_malloc_bytes: 4163311364
% 15.61/2.51 wr_calloc_bytes: 112065536
% 15.61/2.51 wr_realloc_bytes: 2001448
% 15.61/2.51 wr_realloc_freebytes: 0
% 15.61/2.51 ----------------------------------
%------------------------------------------------------------------------------