TSTP Solution File: ALG066+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG066+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n021.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 16:27:40 EDT 2023
% Result : Theorem 2.52s 0.85s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
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('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('ax2_$sk',plain,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
inference(negpush_and_skolemize,[],[ax2]) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
input ).
fof('ax6_$sk',plain,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
inference(negpush_and_skolemize,[],[ax6]) ).
fof(ax6,axiom,
( e0 = op(op(e4,e2),op(e4,e2))
& e1 = op(e4,e2)
& e3 = op(e2,e4) ),
input ).
fof('co1_$sk',plain,
( ( ( ( ( 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 ) ) )
& ( op(e4,e4) = e4
| op(e4,e4) != e4 )
& ( op(e4,e3) = e4
| op(e4,e4) != e3 )
& ( op(e4,e2) = e4
| op(e4,e4) != e2 )
& ( op(e4,e1) = e4
| op(e4,e4) != e1 )
& ( op(e4,e0) = e4
| op(e4,e4) != e0 )
& ( op(e3,e4) = e3
| op(e3,e3) != e4 )
& ( op(e3,e3) = e3
| op(e3,e3) != e3 )
& ( op(e3,e2) = e3
| op(e3,e3) != e2 )
& ( op(e3,e1) = e3
| op(e3,e3) != e1 )
& ( op(e3,e0) = e3
| op(e3,e3) != e0 )
& ( op(e2,e4) = e2
| op(e2,e2) != e4 )
& ( op(e2,e3) = e2
| op(e2,e2) != e3 )
& ( op(e2,e2) = e2
| op(e2,e2) != e2 )
& ( op(e2,e1) = e2
| op(e2,e2) != e1 )
& ( op(e2,e0) = e2
| op(e2,e2) != e0 )
& ( op(e1,e4) = e1
| op(e1,e1) != e4 )
& ( op(e1,e3) = e1
| op(e1,e1) != e3 )
& ( op(e1,e2) = e1
| op(e1,e1) != e2 )
& ( op(e1,e1) = e1
| op(e1,e1) != e1 )
& ( op(e1,e0) = e1
| op(e1,e1) != e0 )
& ( op(e0,e4) = e0
| op(e0,e0) != e4 )
& ( op(e0,e3) = e0
| op(e0,e0) != e3 )
& ( op(e0,e2) = e0
| op(e0,e0) != e2 )
& ( op(e0,e1) = e0
| op(e0,e0) != e1 )
& ( op(e0,e0) = e0
| op(e0,e0) != e0 ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
~ ( ( op(e0,e0) != e0
| op(e0,e0) = e0 )
& ( op(e0,e0) != e1
| op(e0,e1) = e0 )
& ( op(e0,e0) != e2
| op(e0,e2) = e0 )
& ( op(e0,e0) != e3
| op(e0,e3) = e0 )
& ( op(e0,e0) != e4
| op(e0,e4) = e0 )
& ( op(e1,e1) != e0
| op(e1,e0) = e1 )
& ( op(e1,e1) != e1
| op(e1,e1) = e1 )
& ( op(e1,e1) != e2
| op(e1,e2) = e1 )
& ( op(e1,e1) != e3
| op(e1,e3) = e1 )
& ( op(e1,e1) != e4
| op(e1,e4) = e1 )
& ( op(e2,e2) != e0
| op(e2,e0) = e2 )
& ( op(e2,e2) != e1
| op(e2,e1) = e2 )
& ( op(e2,e2) != e2
| op(e2,e2) = e2 )
& ( op(e2,e2) != e3
| op(e2,e3) = e2 )
& ( op(e2,e2) != e4
| op(e2,e4) = e2 )
& ( op(e3,e3) != e0
| op(e3,e0) = e3 )
& ( op(e3,e3) != e1
| op(e3,e1) = e3 )
& ( op(e3,e3) != e2
| op(e3,e2) = e3 )
& ( op(e3,e3) != e3
| op(e3,e3) = e3 )
& ( op(e3,e3) != e4
| op(e3,e4) = e3 )
& ( op(e4,e4) != e0
| op(e4,e0) = e4 )
& ( op(e4,e4) != e1
| op(e4,e1) = e4 )
& ( op(e4,e4) != e2
| op(e4,e2) = e4 )
& ( op(e4,e4) != e3
| op(e4,e3) = e4 )
& ( op(e4,e4) != e4
| op(e4,e4) = e4 )
& ( ( ( 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 ) ) ) ) ),
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 ).
cnf('1',plain,
( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('2',plain,
e3 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('3',plain,
e2 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('4',plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('5',plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('6',plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('7',plain,
e0 = op(e1,e1),
inference(simplify,[then_simplify],['5','6','6']) ).
cnf('8',plain,
( op(e1,e1) != e0
| e0 != unit
| $pr($df66) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('9',plain,
( e0 != unit
| $pr($df66) ),
inference(paramodulation,[],['7','8']) ).
cnf('10',plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| $pr($df66) ),
inference(paramodulation,[],['4','9']) ).
cnf('11',plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('12',plain,
op(e0,e1) != e0,
inference(simplify,[],['11','7']) ).
cnf('13',plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('14',plain,
( unit = e4
| unit = e3
| unit = e2
| $pr($df66) ),
inference(paramodulation,[then_simplify],['10','12','13']) ).
cnf('15',plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('16',plain,
op(e1,e2) != e1,
inference(simplify,[],['15','6']) ).
cnf('17',plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('18',plain,
( unit = e4
| unit = e3
| $pr($df66) ),
inference(paramodulation,[then_simplify],['14','16','17']) ).
cnf('19',plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('20',plain,
( op(e2,e4) != e3
| e3 != unit
| $pr($df133) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('21',plain,
( e3 != unit
| $pr($df133) ),
inference(paramodulation,[],['19','20']) ).
cnf('22',plain,
( unit = e4
| $pr($df133)
| $pr($df66) ),
inference(paramodulation,[],['18','21']) ).
cnf('23',plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('24',plain,
op(e4,e1) != e1,
inference(simplify,[],['23','6']) ).
cnf('25',plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('26',plain,
( $pr($df133)
| $pr($df66) ),
inference(paramodulation,[then_simplify],['22','24','25']) ).
cnf('27',plain,
( ~ $pr($df133)
| e3 = unit ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('28',plain,
( e3 = unit
| $pr($df66) ),
inference(resolution,[],['26','27']) ).
cnf('29',plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('30',plain,
( op(e1,e1) != e0
| op(e1,e0) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('31',plain,
op(e1,e0) = e1,
inference(paramodulation,[],['7','30']) ).
cnf('32',plain,
e1 != op(e1,e3),
inference(simplify,[],['29','31']) ).
cnf('33',plain,
( e1 != op(e1,unit)
| $pr($df66) ),
inference(paramodulation,[],['28','32']) ).
cnf('34',plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('35',plain,
$pr($df66),
inference(simplify,[],['33','34']) ).
cnf('36',plain,
( ~ $pr($df66)
| e0 = unit ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('37',plain,
e0 = unit,
inference(resolution,[],['35','36']) ).
cnf('38',plain,
e0 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('39',plain,
unit != e4,
inference(paramodulation,[],['37','38']) ).
cnf('40',plain,
e1 != e4,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('41',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('42',plain,
e0 != e3,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('43',plain,
unit != e3,
inference(paramodulation,[],['37','42']) ).
cnf('44',plain,
e1 != e3,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('45',plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('46',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3 ),
inference(simplify,[then_simplify],['41','43','44','7','37','37','45']) ).
cnf('47',plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('48',plain,
op(e2,e1) != e3,
inference(simplify,[],['47','19']) ).
cnf('49',plain,
( op(e4,e1) = e3
| op(e3,e1) = e3 ),
inference(resolution,[],['46','48']) ).
cnf('50',plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('51',plain,
op(e3,unit) != op(e3,e1),
inference(paramodulation,[],['37','50']) ).
cnf('52',plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('53',plain,
e3 != op(e3,e1),
inference(simplify,[],['51','52']) ).
cnf('54',plain,
op(e4,e1) = e3,
inference(paramodulation,[],['49','53']) ).
cnf('55',plain,
( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('56',plain,
( op(e4,e1) != e2
| ~ $pr($df46) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('57',plain,
( op(e4,e2) != e1
| op(e4,e1) = e2
| $pr($df46) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('58',plain,
( op(e4,e1) = e2
| $pr($df46) ),
inference(paramodulation,[],['6','57']) ).
cnf('59',plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('60',plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('61',plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e1) = e3
| e4 = e3 ),
inference(simplify,[then_simplify],['59','44','6','37','60']) ).
cnf('62',plain,
e2 != e3,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('63',plain,
( op(e4,e4) = e3
| op(e4,e3) = e3
| e4 = e3
| $pr($df46) ),
inference(paramodulation,[then_simplify],['58','61','62']) ).
cnf('64',plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('65',plain,
op(unit,e3) != op(e4,e3),
inference(paramodulation,[],['37','64']) ).
cnf('66',plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('67',plain,
e3 != op(e4,e3),
inference(simplify,[],['65','66']) ).
cnf('68',plain,
( op(e4,e4) = e3
| e4 = e3
| $pr($df46) ),
inference(paramodulation,[],['63','67']) ).
cnf('69',plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('70',plain,
e3 != op(e4,e4),
inference(simplify,[],['69','19']) ).
cnf('71',plain,
( e4 = e3
| $pr($df46) ),
inference(paramodulation,[],['68','70']) ).
cnf('72',plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('73',plain,
op(e0,e4) != e3,
inference(simplify,[],['72','19']) ).
cnf('74',plain,
op(unit,e4) != e3,
inference(paramodulation,[],['37','73']) ).
cnf('75',plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('76',plain,
e4 != e3,
inference(simplify,[],['74','75']) ).
cnf('77',plain,
$pr($df46),
inference(resolution,[],['71','76']) ).
cnf('78',plain,
e3 != e2,
inference(paramodulation,[then_simplify],['54','56','77']) ).
cnf('79',plain,
e0 != e2,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('80',plain,
unit != e2,
inference(paramodulation,[],['37','79']) ).
cnf('81',plain,
e1 != e2,
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('82',plain,
( op(e3,e1) = e2
| op(e2,e1) = e2 ),
inference(simplify,[then_simplify],['55','78','80','81','54','7','37','37','45']) ).
cnf('83',plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('84',plain,
op(e2,unit) != op(e2,e1),
inference(paramodulation,[],['37','83']) ).
cnf('85',plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('86',plain,
e2 != op(e2,e1),
inference(simplify,[],['84','85']) ).
cnf('87',plain,
op(e3,e1) = e2,
inference(paramodulation,[],['82','86']) ).
cnf('88',plain,
op(e2,e1) = e4,
inference(simplify,[then_simplify],['1','2','3','39','40','54','87','7','37','37','45']) ).
cnf('89',plain,
( op(e2,e1) != e4
| op(e2,e4) = e1
| $pr($df103)
| $pr($df154) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('90',plain,
e3 != e1,
inference(paramodulation,[],['54','24']) ).
cnf('91',plain,
( op(e2,e1) != e4
| $pr($df103)
| $pr($df154) ),
inference(simplify,[then_simplify],['89','90','19']) ).
cnf('92',plain,
( $pr($df103)
| $pr($df154) ),
inference(resolution,[],['88','91']) ).
cnf('93',plain,
( op(e3,e1) != e2
| ~ $pr($df154)
| op(e3,e2) = e1
| $pr($df1)
| $pr($df52) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('94',plain,
( op(e1,e1) != e0
| e0 != unit
| ~ $pr($df52) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('95',plain,
( e0 != unit
| ~ $pr($df52) ),
inference(paramodulation,[],['7','94']) ).
cnf('96',plain,
~ $pr($df52),
inference(resolution,[],['37','95']) ).
cnf('97',plain,
( ~ $pr($df154)
| op(e3,e2) = e1
| $pr($df1) ),
inference(resolution,[then_simplify],['87','93','96']) ).
cnf('98',plain,
( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('99',plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| e2 = e1 ),
inference(simplify,[then_simplify],['98','90','19','37','85']) ).
cnf('100',plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('101',plain,
op(unit,e1) != op(e2,e1),
inference(paramodulation,[],['37','100']) ).
cnf('102',plain,
e1 != op(e2,e1),
inference(simplify,[],['101','45']) ).
cnf('103',plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| e2 = e1 ),
inference(paramodulation,[],['99','102']) ).
cnf('104',plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('105',plain,
op(e2,e2) != e1,
inference(simplify,[],['104','6']) ).
cnf('106',plain,
( op(e2,e3) = e1
| e2 = e1 ),
inference(resolution,[],['103','105']) ).
cnf('107',plain,
( op(e2,e3) != e1
| op(e2,e1) = e3
| $pr($df28) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('108',plain,
op(e2,e1) != op(e4,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('109',plain,
op(e2,e1) != e3,
inference(paramodulation,[],['54','108']) ).
cnf('110',plain,
( e2 = e1
| $pr($df28) ),
inference(resolution,[then_simplify],['106','107','109']) ).
cnf('111',plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('112',plain,
op(e0,e2) != e1,
inference(simplify,[],['111','6']) ).
cnf('113',plain,
op(unit,e2) != e1,
inference(paramodulation,[],['37','112']) ).
cnf('114',plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('115',plain,
e2 != e1,
inference(simplify,[],['113','114']) ).
cnf('116',plain,
$pr($df28),
inference(resolution,[],['110','115']) ).
cnf('117',plain,
( ~ $pr($df28)
| op(e2,e3) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('118',plain,
op(e2,e3) = e1,
inference(resolution,[],['116','117']) ).
cnf('119',plain,
( op(e2,e3) != e1
| ~ $pr($df1)
| op(e2,e1) = e3 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('120',plain,
~ $pr($df1),
inference(resolution,[then_simplify],['118','119','109']) ).
cnf('121',plain,
( op(e3,e2) = e1
| $pr($df103) ),
inference(resolution,[then_simplify],['92','97','120']) ).
cnf('122',plain,
op(e3,e2) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('123',plain,
op(e3,e2) != e1,
inference(simplify,[],['122','6']) ).
cnf('124',plain,
$pr($df103),
inference(resolution,[],['121','123']) ).
cnf('125',plain,
( op(e4,e1) != e3
| ~ $pr($df103)
| op(e4,e3) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('126',plain,
( ~ $pr($df103)
| op(e4,e3) = e1 ),
inference(resolution,[],['54','125']) ).
cnf('127',plain,
op(e4,e3) = e1,
inference(resolution,[],['124','126']) ).
cnf('128',plain,
( op(e4,e3) != e1
| ~ $pr($df146) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('129',plain,
( op(e4,e1) != e3
| op(e4,e3) = e1
| $pr($df146) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('130',plain,
( op(e4,e3) = e1
| $pr($df146) ),
inference(resolution,[],['54','129']) ).
cnf('131',plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('132',plain,
e1 != op(e4,e3),
inference(simplify,[],['131','6']) ).
cnf('133',plain,
$pr($df146),
inference(paramodulation,[],['130','132']) ).
cnf('134',plain,
$false,
inference(resolution,[then_simplify],['127','128','133']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG066+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n021.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 02:46:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.41
% 0.20/0.41 input clause set summed statistics:
% 0.20/0.41 ----------------------------------
% 0.20/0.41 in_clause_count: 1178
% 0.20/0.41 in_rule_clause_count: 1178
% 0.20/0.41 in_fact_clause_count: 0
% 0.20/0.41 in_answer_clause_count: 0
% 0.20/0.41 in_ground_clause_count: 1178
% 0.20/0.41 in_unit_clause_count: 123
% 0.20/0.41 in_horn_clause_count: 873
% 0.20/0.41 in_pos_clause_count: 93
% 0.20/0.41 in_neg_clause_count: 385
% 0.20/0.41 in_poseq_clause_count: 639
% 0.20/0.41 in_negeq_clause_count: 685
% 0.20/0.41 in_unitposeq_clause_count: 13
% 0.20/0.41 in_chain_clause_count: 0
% 0.20/0.41 in_min_length: 1
% 0.20/0.41 in_max_length: 51
% 0.20/0.41 in_min_depth: 1
% 0.20/0.41 in_max_depth: 3
% 0.20/0.41 in_min_size: 3
% 0.20/0.41 in_max_size: 102
% 0.20/0.41 in_min_vars: 0
% 0.20/0.41 in_max_vars: 0
% 0.20/0.41 in_extaxiom_count: 0
% 0.20/0.41 in_axiom_count: 199
% 0.20/0.41 in_assumption_count: 0
% 0.20/0.41 in_goal_count: 979
% 0.20/0.41 in_neg_goal_count: 275
% 0.20/0.41 in_pos_goal_count: 4
% 0.20/0.41 in_posunit_goal_count: 0
% 0.20/0.41
% 0.20/0.41 auto guide:
% 0.20/0.41 -----------
% 0.20/0.41 {
% 0.20/0.41 "print":1,
% 0.20/0.41 "print_level": 15,
% 0.20/0.41 "max_size": 0,
% 0.20/0.41 "max_depth": 0,
% 0.20/0.41 "max_length": 0,
% 0.20/0.41 "max_dseconds": 0,
% 0.20/0.41 "runs":[
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.41 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.41 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
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% 0.20/0.41
% 0.20/0.41 ]}
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 **** run 1 fork 0 starts with strategy
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% 0.20/0.41
% 0.20/0.41 **** run 2 fork 1 starts with strategy
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% 0.20/0.41
% 0.20/0.41 **** run 3 fork 2 starts with strategy
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% 0.20/0.41
% 0.20/0.41 **** run 4 fork 3 starts with strategy
% 0.20/0.41 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.41
% 0.20/0.41 **** run 5 fork 4 starts with strategy
% 0.20/0.41 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.41
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% 0.20/0.41 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.41
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% 0.20/0.41 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.42
% 0.20/0.42 **** run 8 fork 7 starts with strategy
% 0.20/0.42 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
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% 0.20/0.51 **** run 9 fork 0 starts with strategy
% 0.20/0.51 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
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% 0.20/0.55 fork 1: search finished without proof.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 fork 5: search terminated without proof.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 fork 3: search terminated without proof.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 fork 2: search terminated without proof.
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 fork 6: search terminated without proof.
% 0.20/0.57
% 0.20/0.57 **** run 13 fork 4 starts with strategy
% 0.20/0.57 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.20/0.57
% 0.20/0.57 **** run 10 fork 1 starts with strategy
% 0.20/0.57 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.57
% 0.20/0.57 **** run 14 fork 5 starts with strategy
% 0.20/0.57 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 0.20/0.58
% 0.20/0.58 **** run 11 fork 2 starts with strategy
% 0.20/0.58 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.20/0.58
% 0.20/0.58 **** run 12 fork 3 starts with strategy
% 0.20/0.58 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.58
% 0.20/0.58 **** run 15 fork 6 starts with strategy
% 0.20/0.58 {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 0.20/0.58
% 0.20/0.58 fork 7: search finished without proof.
% 0.20/0.61
% 0.20/0.61 **** run 16 fork 7 starts with strategy
% 0.20/0.61 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.20/0.62
% 0.20/0.62 fork 6: search finished without proof.
% 0.20/0.62 No candidate clauses found.
% 0.20/0.62
% 0.20/0.62
% 0.20/0.62 fork 2: search terminated without proof.
% 0.20/0.64
% 0.20/0.64 **** run 19 fork 2 starts with strategy
% 0.20/0.64 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.64
% 0.20/0.64 **** run 23 fork 6 starts with strategy
% 0.20/0.64 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.20/0.64
% 0.20/0.64
% 0.20/0.64 fork 0: search terminated without proof.
% 0.20/0.66
% 0.20/0.66 **** run 17 fork 0 starts with strategy
% 0.20/0.66 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.70
% 0.20/0.70
% 0.20/0.70 fork 4: search terminated without proof.
% 0.20/0.70
% 0.20/0.70
% 0.20/0.70 fork 1: search terminated without proof.
% 0.20/0.70
% 0.20/0.70 fork 3: search finished without proof.
% 0.20/0.70
% 0.20/0.70
% 0.20/0.70 fork 5: search terminated without proof.
% 0.20/0.71
% 0.20/0.71 **** run 21 fork 4 starts with strategy
% 0.20/0.71 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.20/0.72
% 0.20/0.72 **** run 18 fork 1 starts with strategy
% 0.20/0.72 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.72
% 0.20/0.72 **** run 20 fork 3 starts with strategy
% 0.20/0.72 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.20/0.73
% 0.20/0.73 **** run 22 fork 5 starts with strategy
% 0.20/0.73 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.20/0.74
% 0.20/0.74
% 0.20/0.74 fork 7: search terminated without proof.
% 0.20/0.76
% 0.20/0.76 **** run 24 fork 7 starts with strategy
% 0.20/0.76 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.76
% 0.20/0.76 fork 6: search finished without proof.
% 0.20/0.79
% 0.20/0.79 **** run 31 fork 6 starts with strategy
% 0.20/0.79 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.52/0.85
% 2.52/0.85
% 2.52/0.85 result: proof found
% 2.52/0.85 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/0.85 by run 17 fork 0 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 2.52/0.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/0.85
% 2.52/0.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.52/0.85
% 2.52/0.85 run 17 fork 0 statistics:
% 2.52/0.85 ----------------------------------
% 2.52/0.85 this run seconds: 0.075085
% 2.52/0.85 total seconds: 0.334028
% 2.52/0.85 stat_given_used: 1463
% 2.52/0.85 stat_given_used_at_endgame: 0
% 2.52/0.85 stat_given_candidates: 5075
% 2.52/0.85 stat_given_candidates_at_endgame: 0
% 2.52/0.85 stat_given_candidates_h: 0
% 2.52/0.85 stat_binres_derived_cl: 254
% 2.52/0.85 stat_binres_derived_cl_h: 0
% 2.52/0.85 stat_factor_derived_cl: 0
% 2.52/0.85 stat_para_derived_cl: 6248
% 2.52/0.85 stat_tautologies_discarded: 52
% 2.52/0.85 stat_forward_subsumed: 2677
% 2.52/0.85 stat_derived_cut: 731
% 2.52/0.85 stat_derived_rewritten: 512
% 2.52/0.85 stat_weight_discarded_building: 0
% 2.52/0.85 stat_weight_discarded_cl: 412
% 2.52/0.85 stat_internlimit_discarded_cl: 0
% 2.52/0.85 stat_simplified: 549 simplified 0 derived 0 given
% 2.52/0.85 stat_kept_cl: 3214
% 2.52/0.85 stat_built_cl: 7101
% 2.52/0.85 stat_hyperres_partial_cl: 0
% 2.52/0.85 stat_made_rewriters: 21
% 2.52/0.85 stat_backward_subsumed: 0
% 2.52/0.85 stat_propagated_subsumed: 0
% 2.52/0.85 stat_clsubs_attempted: 6461
% 2.52/0.85 stat_clsubs_fact_groundunit_found: 1
% 2.52/0.85 stat_clsubs_rule_groundunit_found: 172
% 2.52/0.85
% 2.52/0.85
% 2.52/0.85 fork 4: search terminated without proof.
% 2.52/0.85 stat_clsubs_top_meta_attempted: 1417119
% 2.52/0.85 stat_clsubs_top_meta_failed: 1410658
% 2.52/0.85 stat_clsubs_top_meta_nonpref_attempted: 1417119
% 2.52/0.85 stat_clsubs_top_meta_nonpref_succeeded: 571128
% 2.52/0.85 stat_clsubs_top_meta_pref_attempted: 571128
% 2.52/0.85 stat_clsubs_top_meta_pref1_succeeded: 264391
% 2.52/0.85 stat_clsubs_top_meta_pref2_succeeded: 21628
% 2.52/0.85 stat_clsubs_top_meta_pref3_succeeded: 6461
% 2.52/0.85 stat_clsubs_top_meta_pref_succeeded: 6461
% 2.52/0.85 stat_clsubs_meta_attempted: 12635
% 2.52/0.85 stat_clsubs_meta_failed: 10156
% 2.52/0.85 stat_clsubs_predsymbs_attempted: 0
% 2.52/0.85 stat_clsubs_unit_attempted: 0
% 2.52/0.85 stat_clsubs_full_attempted: 6461
% 2.52/0.85 stat_forwardsubs_attempted: 6304
% 2.52/0.85 stat_lit_hash_added: 2253
% 2.52/0.85 stat_lit_hash_computed: 54347
% 2.52/0.85 stat_lit_hash_match_found: 9052
% 2.52/0.85 stat_lit_hash_match_miss: 69689
% 2.52/0.85 stat_lit_hash_cut_ok: 3628
% 2.52/0.85 stat_lit_strong_cut_ok: 0
% 2.52/0.85 stat_lit_hash_subsume_ok: 2677
% 2.52/0.85 clqueue els 10000000 used 1
% 2.52/0.85 clactive els 10000000 used 1464
% 2.52/0.85 clactivesubsume els 10000000 used 7411
% 2.52/0.85 queue_termbuf els 200000000 used 251960
% 2.52/0.85 hyper_termbuf els 100000000 used 1
% 2.52/0.85 active_termbuf els 100000000 used 46726
% 2.52/0.85 varstack els 5000 last used 1
% 2.52/0.85 given_termbuf els 10000000 last used 1
% 2.52/0.85 simplified_termbuf els 10000000 last used 1
% 2.52/0.85 derived_termbuf els 10000000 last used 21
% 2.52/0.85 wr_mallocs: 10632
% 2.52/0.85 wr_callocs: 21
% 2.52/0.85 wr_reallocs: 756
% 2.52/0.85 wr_frees: 4
% 2.52/0.85 wr_malloc_bytes: 4162953780
% 2.52/0.85 wr_calloc_bytes: 112065536
% 2.52/0.85 wr_realloc_bytes: 186976
% 2.52/0.85 wr_realloc_freebytes: 0
% 2.52/0.85 ----------------------------------
% 2.52/0.86
% 2.52/0.86
% 2.52/0.86 fork 1: search terminated without proof.
%------------------------------------------------------------------------------