%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG062+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n009.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 16:27:39 EDT 2023
% Result : Theorem 29.87s 4.26s
% Output : CNFRefutation 29.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
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,
( e4 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
inference(negpush_and_skolemize,[],[ax6]) ).
fof(ax6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
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(e3,e3) = e4
| op(e2,e2) = e4
| op(e1,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e3) = e3
| op(e2,e2) = e3
| op(e1,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e3) = e2
| op(e2,e2) = e2
| op(e1,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e3) = e1
| op(e2,e2) = e1
| op(e1,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( ( op(e0,e0) != e0
| ( op(e0,e0) = 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,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('2',plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('3',plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('4',plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('5',plain,
e2 = op(e4,e4),
inference(simplify,[then_simplify],['4','3','3']) ).
cnf('6',plain,
e3 = op(e2,e2),
inference(simplify,[then_simplify],['2','3','3','5','3','3','5']) ).
cnf('7',plain,
( op(e2,e2) != e3
| op(e2,e3) = e2
| $pr($df128) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('8',plain,
( op(e2,e3) = e2
| $pr($df128) ),
inference(paramodulation,[],['6','7']) ).
cnf('9',plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('10',plain,
( op(e2,e0) != e2
| $pr($df128) ),
inference(paramodulation,[],['8','9']) ).
cnf('11',plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('12',plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| $pr($df128) ),
inference(paramodulation,[then_simplify],['1','10','11']) ).
cnf('13',plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('14',plain,
( op(e2,e1) != e2
| $pr($df128) ),
inference(paramodulation,[],['8','13']) ).
cnf('15',plain,
( unit = e4
| unit = e3
| unit = e2
| $pr($df128) ),
inference(paramodulation,[then_simplify],['12','14','11']) ).
cnf('16',plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('17',plain,
e0 = op(e1,e2),
inference(simplify,[then_simplify],['16','3','3','5']) ).
cnf('18',plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('19',plain,
op(e0,e2) != e0,
inference(paramodulation,[],['17','18']) ).
cnf('20',plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('21',plain,
( unit = e4
| unit = e3
| $pr($df128) ),
inference(paramodulation,[then_simplify],['15','19','20']) ).
cnf('22',plain,
( op(e2,e2) != e3
| e3 != unit
| $pr($df129) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('23',plain,
( e3 != unit
| $pr($df129) ),
inference(paramodulation,[],['6','22']) ).
cnf('24',plain,
( unit = e4
| $pr($df129)
| $pr($df128) ),
inference(paramodulation,[],['21','23']) ).
cnf('25',plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('26',plain,
op(e2,e4) != e2,
inference(simplify,[],['25','5']) ).
cnf('27',plain,
( $pr($df129)
| $pr($df128) ),
inference(paramodulation,[then_simplify],['24','26','11']) ).
cnf('28',plain,
( ~ $pr($df129)
| e3 = unit ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('29',plain,
( e3 = unit
| $pr($df128) ),
inference(resolution,[],['27','28']) ).
cnf('30',plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('31',plain,
( op(e0,e0) != op(e0,unit)
| $pr($df128) ),
inference(paramodulation,[],['29','30']) ).
cnf('32',plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('33',plain,
( op(e0,e0) != e0
| $pr($df128) ),
inference(simplify,[],['31','32']) ).
cnf('34',plain,
( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('35',plain,
( op(e4,e4) = e0
| op(e3,e3) = e0
| op(e2,e2) = e0
| op(e1,e1) = e0
| $pr($df128) ),
inference(resolution,[],['33','34']) ).
cnf('36',plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('37',plain,
e4 != op(e1,e2),
inference(simplify,[],['36','3']) ).
cnf('38',plain,
e4 != e0,
inference(paramodulation,[],['17','37']) ).
cnf('39',plain,
( e2 = e0
| op(e3,e3) = e0
| e3 = e0
| $pr($df128) ),
inference(simplify,[then_simplify],['35','38','5','6','3']) ).
cnf('40',plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('41',plain,
( op(unit,e0) != op(e3,e3)
| $pr($df128) ),
inference(paramodulation,[],['29','40']) ).
cnf('42',plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('43',plain,
( e0 != op(e3,e3)
| $pr($df128) ),
inference(simplify,[],['41','42']) ).
cnf('44',plain,
( e3 = e0
| e2 = e0
| $pr($df128) ),
inference(paramodulation,[],['39','43']) ).
cnf('45',plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('46',plain,
( e3 = e0
| $pr($df128) ),
inference(paramodulation,[],['44','45']) ).
cnf('47',plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('48',plain,
e0 != op(e2,e2),
inference(paramodulation,[],['17','47']) ).
cnf('49',plain,
$pr($df128),
inference(paramodulation,[then_simplify],['46','6','48']) ).
cnf('50',plain,
( op(e1,e2) != e0
| e0 != unit
| $pr($df68) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('51',plain,
( e0 != unit
| $pr($df68) ),
inference(paramodulation,[],['17','50']) ).
cnf('52',plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| $pr($df68) ),
inference(paramodulation,[],['1','51']) ).
cnf('53',plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('54',plain,
op(e1,e0) != e0,
inference(paramodulation,[],['17','53']) ).
cnf('55',plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('56',plain,
( unit = e4
| unit = e3
| unit = e2
| $pr($df68) ),
inference(paramodulation,[then_simplify],['52','54','55']) ).
cnf('57',plain,
( unit = e4
| unit = e3
| $pr($df68) ),
inference(paramodulation,[then_simplify],['56','19','20']) ).
cnf('58',plain,
( unit = e4
| $pr($df129)
| $pr($df68) ),
inference(paramodulation,[],['57','23']) ).
cnf('59',plain,
( $pr($df129)
| $pr($df68) ),
inference(paramodulation,[then_simplify],['58','26','11']) ).
cnf('60',plain,
( e3 = unit
| $pr($df68) ),
inference(resolution,[],['59','28']) ).
cnf('61',plain,
( op(e2,e3) != e2
| ~ $pr($df128) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('62',plain,
( ~ $pr($df128)
| $pr($df68) ),
inference(paramodulation,[then_simplify],['60','61','11']) ).
cnf('63',plain,
( op(e1,e1) != e4
| op(e1,e4) = e1
| $pr($df103)
| $pr($df154) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('64',plain,
( op(e1,e4) = e1
| $pr($df103)
| $pr($df154) ),
inference(paramodulation,[],['3','63']) ).
cnf('65',plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('66',plain,
( op(e1,e3) != e1
| $pr($df103)
| $pr($df154) ),
inference(paramodulation,[],['64','65']) ).
cnf('67',plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('68',plain,
( $pr($df103)
| $pr($df128)
| $pr($df154) ),
inference(paramodulation,[then_simplify],['29','66','67']) ).
cnf('69',plain,
( $pr($df68)
| $pr($df103)
| $pr($df154) ),
inference(resolution,[],['62','68']) ).
cnf('70',plain,
( op(e2,e2) != e3
| e3 != unit
| ~ $pr($df103) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('71',plain,
( e3 != unit
| ~ $pr($df103) ),
inference(paramodulation,[],['6','70']) ).
cnf('72',plain,
( ~ $pr($df103)
| $pr($df68) ),
inference(resolution,[],['60','71']) ).
cnf('73',plain,
( $pr($df68)
| $pr($df154) ),
inference(simplify,[],['69','72']) ).
cnf('74',plain,
( ~ $pr($df68)
| e0 = unit ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('75',plain,
( e0 = unit
| $pr($df154) ),
inference(resolution,[],['73','74']) ).
cnf('76',plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('77',plain,
( op(e1,e0) != e1
| $pr($df103)
| $pr($df154) ),
inference(paramodulation,[],['64','76']) ).
cnf('78',plain,
( $pr($df103)
| $pr($df154) ),
inference(paramodulation,[then_simplify],['75','77','67']) ).
cnf('79',plain,
( op(e4,e4) != e2
| ~ $pr($df154)
| op(e4,e2) = e4
| $pr($df1)
| $pr($df52) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('80',plain,
( ~ $pr($df154)
| op(e4,e2) = e4
| $pr($df1)
| $pr($df52) ),
inference(paramodulation,[],['5','79']) ).
cnf('81',plain,
( op(e4,e2) = e4
| $pr($df1)
| $pr($df103)
| $pr($df52) ),
inference(resolution,[],['78','80']) ).
cnf('82',plain,
( op(e4,e2) != e4
| ~ $pr($df203) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('83',plain,
( $pr($df1)
| $pr($df103)
| $pr($df52)
| ~ $pr($df203) ),
inference(resolution,[],['81','82']) ).
cnf('84',plain,
( ~ $pr($df1)
| ~ $pr($df203) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('85',plain,
( ~ $pr($df203)
| $pr($df103)
| $pr($df52) ),
inference(simplify,[],['83','84']) ).
cnf('86',plain,
( op(e1,e3) != e1
| op(e1,e1) = e3
| $pr($df18) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('87',plain,
( op(e1,e1) = e3
| $pr($df18)
| $pr($df128) ),
inference(paramodulation,[then_simplify],['29','86','67']) ).
cnf('88',plain,
( e4 = e3
| $pr($df18)
| $pr($df128) ),
inference(simplify,[],['87','3']) ).
cnf('89',plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('90',plain,
( $pr($df18)
| $pr($df128) ),
inference(paramodulation,[],['88','89']) ).
cnf('91',plain,
( $pr($df18)
| $pr($df68) ),
inference(resolution,[],['62','90']) ).
cnf('92',plain,
( e0 = unit
| $pr($df18) ),
inference(resolution,[],['91','74']) ).
cnf('93',plain,
( op(e4,e4) != e2
| op(e4,e2) = e4
| $pr($df1)
| $pr($df52)
| $pr($df203) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('94',plain,
( op(e4,e2) = e4
| $pr($df1)
| $pr($df52)
| $pr($df203) ),
inference(paramodulation,[],['5','93']) ).
cnf('95',plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('96',plain,
( op(e4,e0) != e4
| $pr($df1)
| $pr($df52)
| $pr($df203) ),
inference(paramodulation,[],['94','95']) ).
cnf('97',plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('98',plain,
( $pr($df1)
| $pr($df18)
| $pr($df52)
| $pr($df203) ),
inference(paramodulation,[then_simplify],['92','96','97']) ).
cnf('99',plain,
( $pr($df103)
| $pr($df52)
| $pr($df1)
| $pr($df18) ),
inference(resolution,[],['85','98']) ).
cnf('100',plain,
( op(e1,e2) != e0
| e0 != unit
| ~ $pr($df52) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('101',plain,
( e0 != unit
| ~ $pr($df52) ),
inference(paramodulation,[],['17','100']) ).
cnf('102',plain,
( ~ $pr($df52)
| $pr($df18) ),
inference(resolution,[],['92','101']) ).
cnf('103',plain,
( $pr($df1)
| $pr($df103)
| $pr($df18) ),
inference(simplify,[],['99','102']) ).
cnf('104',plain,
( op(e1,e0) != e1
| ~ $pr($df1)
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('105',plain,
( ~ $pr($df1)
| op(e1,e1) = e0
| $pr($df18) ),
inference(paramodulation,[then_simplify],['92','104','67']) ).
cnf('106',plain,
( ~ $pr($df1)
| $pr($df18) ),
inference(simplify,[then_simplify],['105','38','3']) ).
cnf('107',plain,
( $pr($df103)
| $pr($df18) ),
inference(resolution,[],['103','106']) ).
cnf('108',plain,
( ~ $pr($df18)
| op(e1,e3) = e1 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('109',plain,
( op(e1,e3) = e1
| $pr($df103) ),
inference(resolution,[],['107','108']) ).
cnf('110',plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('111',plain,
( op(e1,e0) != e1
| $pr($df103) ),
inference(paramodulation,[],['109','110']) ).
cnf('112',plain,
( unit = e4
| unit = e3
| unit = e2
| unit = e1
| $pr($df103) ),
inference(paramodulation,[then_simplify],['1','111','67']) ).
cnf('113',plain,
( unit = e4
| unit = e3
| unit = e2
| $pr($df103) ),
inference(paramodulation,[then_simplify],['112','54','55']) ).
cnf('114',plain,
( unit = e4
| unit = e3
| $pr($df103) ),
inference(paramodulation,[then_simplify],['113','19','20']) ).
cnf('115',plain,
( unit = e4
| $pr($df103)
| $pr($df129) ),
inference(paramodulation,[],['114','23']) ).
cnf('116',plain,
( $pr($df103)
| $pr($df129) ),
inference(paramodulation,[then_simplify],['115','26','11']) ).
cnf('117',plain,
( e3 = unit
| $pr($df103) ),
inference(resolution,[],['116','28']) ).
cnf('118',plain,
( ~ $pr($df128)
| $pr($df103) ),
inference(paramodulation,[then_simplify],['117','61','11']) ).
cnf('119',plain,
$pr($df103),
inference(resolution,[],['49','118']) ).
cnf('120',plain,
( op(e2,e2) != e3
| ~ $pr($df103)
| op(e2,e3) = e2 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('121',plain,
( ~ $pr($df103)
| op(e2,e3) = e2 ),
inference(paramodulation,[],['6','120']) ).
cnf('122',plain,
op(e2,e3) = e2,
inference(resolution,[],['119','121']) ).
cnf('123',plain,
$pr($df128),
inference(paramodulation,[then_simplify],['46','6','48']) ).
cnf('124',plain,
$false,
inference(resolution,[then_simplify],['122','61','123']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG062+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.13 % Command : gkc %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 03:33:05 EDT 2023
% 0.14/0.34 % 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: 1159
% 0.20/0.41 in_rule_clause_count: 1159
% 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: 1159
% 0.20/0.41 in_unit_clause_count: 124
% 0.20/0.41 in_horn_clause_count: 849
% 0.20/0.41 in_pos_clause_count: 99
% 0.20/0.41 in_neg_clause_count: 385
% 0.20/0.41 in_poseq_clause_count: 620
% 0.20/0.41 in_negeq_clause_count: 660
% 0.20/0.41 in_unitposeq_clause_count: 14
% 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: 4
% 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: 200
% 0.20/0.41 in_assumption_count: 0
% 0.20/0.41 in_goal_count: 959
% 0.20/0.41 in_neg_goal_count: 275
% 0.20/0.41 in_pos_goal_count: 9
% 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
% 0.20/0.42
% 0.20/0.42 **** run 1 fork 0 starts with strategy
% 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
% 0.20/0.42 **** run 2 fork 1 starts with strategy
% 0.20/0.42 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.20/0.42
% 0.20/0.42 **** run 3 fork 2 starts with strategy
% 0.20/0.42 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.42
% 0.20/0.42 **** run 4 fork 3 starts with strategy
% 0.20/0.42 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.42
% 0.20/0.42 **** run 5 fork 4 starts with strategy
% 0.20/0.42 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.42
% 0.20/0.42 **** run 6 fork 5 starts with strategy
% 0.20/0.42 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.42
% 0.20/0.42 **** run 7 fork 6 starts with strategy
% 0.20/0.42 {"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
% 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 fork 4: search finished without proof.
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% 0.20/0.56 fork 3: search terminated without proof.
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% 0.20/0.56 fork 2: search terminated without proof.
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% 0.20/0.56 fork 5: search terminated without proof.
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 fork 6: search terminated without proof.
% 1.45/0.58
% 1.45/0.58 **** run 13 fork 4 starts with strategy
% 1.45/0.58 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 1.45/0.58
% 1.45/0.58 **** run 16 fork 7 starts with strategy
% 1.45/0.58 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 1.45/0.59
% 1.45/0.59 **** run 12 fork 3 starts with strategy
% 1.45/0.59 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.45/0.59
% 1.45/0.59 **** run 11 fork 2 starts with strategy
% 1.45/0.59 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 1.45/0.59
% 1.45/0.59 **** run 15 fork 6 starts with strategy
% 1.45/0.59 {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 1.45/0.59
% 1.45/0.59 **** run 14 fork 5 starts with strategy
% 1.45/0.59 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 1.45/0.59
% 1.45/0.59 **** run 10 fork 1 starts with strategy
% 1.45/0.59 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.61/0.63
% 1.61/0.63 fork 6: search finished without proof.
% 1.89/0.63 No candidate clauses found.
% 1.89/0.63
% 1.89/0.63
% 1.89/0.63 fork 2: search terminated without proof.
% 1.89/0.64
% 1.89/0.64
% 1.89/0.64 fork 0: search terminated without proof.
% 1.89/0.65
% 1.89/0.65 **** run 19 fork 2 starts with strategy
% 1.89/0.65 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.89/0.65
% 1.89/0.65 **** run 23 fork 6 starts with strategy
% 1.89/0.65 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 1.89/0.66
% 1.89/0.66 **** run 17 fork 0 starts with strategy
% 1.89/0.66 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.89/0.71
% 1.89/0.71 fork 3: search finished without proof.
% 1.89/0.71
% 1.89/0.71
% 1.89/0.71 fork 4: search terminated without proof.
% 1.89/0.71
% 1.89/0.71
% 1.89/0.71 fork 7: search terminated without proof.
% 1.89/0.72
% 1.89/0.72
% 1.89/0.72 fork 5: search terminated without proof.
% 1.89/0.72
% 1.89/0.72
% 1.89/0.72 fork 1: search terminated without proof.
% 2.70/0.73
% 2.70/0.73 **** run 20 fork 3 starts with strategy
% 2.70/0.74 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 2.70/0.74
% 2.70/0.74 **** run 24 fork 7 starts with strategy
% 2.70/0.74 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.70/0.74
% 2.70/0.74 **** run 21 fork 4 starts with strategy
% 2.70/0.74 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 2.70/0.74
% 2.70/0.74 **** run 18 fork 1 starts with strategy
% 2.70/0.74 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 2.70/0.75
% 2.70/0.75 **** run 22 fork 5 starts with strategy
% 2.70/0.75 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 2.70/0.77
% 2.70/0.77 fork 6: search finished without proof.
% 2.70/0.79
% 2.70/0.79
% 2.70/0.79 fork 2: search terminated without proof.
% 2.70/0.80
% 2.70/0.80 **** run 31 fork 6 starts with strategy
% 2.70/0.80 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 3.21/0.80
% 3.21/0.80
% 3.21/0.80 fork 0: search terminated without proof.
% 3.21/0.81
% 3.21/0.81 **** run 27 fork 2 starts with strategy
% 3.21/0.81 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.21/0.82
% 3.21/0.82 **** run 25 fork 0 starts with strategy
% 3.21/0.82 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 3.70/0.88
% 3.70/0.88
% 3.70/0.88 fork 3: search terminated without proof.
% 3.70/0.88
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% 3.70/0.88 fork 5: search terminated without proof.
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% 3.70/0.88 fork 4: search terminated without proof.
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% 3.70/0.88 fork 7: search terminated without proof.
% 3.70/0.88
% 3.70/0.88
% 3.70/0.88 fork 1: search terminated without proof.
% 3.70/0.90
% 3.70/0.90 **** run 28 fork 3 starts with strategy
% 3.70/0.90 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.70/0.90
% 3.70/0.90 **** run 32 fork 7 starts with strategy
% 3.70/0.90
% 3.70/0.90 **** run 30 fork 5 starts with strategy
% 3.70/0.90 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.70/0.90 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.70/0.90
% 3.70/0.90 **** run 29 fork 4 starts with strategy
% 3.70/0.90 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.70/0.90
% 3.70/0.90 **** run 26 fork 1 starts with strategy
% 3.70/0.90 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.70/0.93
% 3.70/0.93
% 3.70/0.93 fork 6: search terminated without proof.
% 3.70/0.94
% 3.70/0.94
% 3.70/0.94 fork 2: search terminated without proof.
% 3.70/0.95
% 3.70/0.95 fork 0: search finished without proof.
% 3.70/0.95
% 3.70/0.95 **** run 39 fork 6 starts with strategy
% 3.70/0.95
% 3.70/0.95 **** run 35 fork 2 starts with strategy
% 3.70/0.95 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 3.70/0.95 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 4.51/0.97
% 4.51/0.97 **** run 33 fork 0 starts with strategy
% 4.51/0.97 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 4.79/1.03
% 4.79/1.03
% 4.79/1.03 fork 3: search terminated without proof.
% 4.79/1.03
% 4.79/1.03 fork 4: search finished without proof.
% 4.79/1.03
% 4.79/1.03
% 4.79/1.03 fork 7: search terminated without proof.
% 4.79/1.03
% 4.79/1.03 fork 5: search finished without proof.
% 5.06/1.03
% 5.06/1.03
% 5.06/1.03 fork 1: search terminated without proof.
% 5.06/1.04
% 5.06/1.04 **** run 36 fork 3 starts with strategy
% 5.06/1.04 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 5.06/1.05
% 5.06/1.05 **** run 37 fork 4 starts with strategy
% 5.06/1.05 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 5.06/1.05
% 5.06/1.05 **** run 40 fork 7 starts with strategy
% 5.06/1.05 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 5.06/1.05
% 5.06/1.05 **** run 34 fork 1 starts with strategy
% 5.06/1.05
% 5.06/1.05 **** run 38 fork 5 starts with strategy
% 5.06/1.05 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.06/1.05 {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 5.06/1.08
% 5.06/1.08 fork 2: search finished without proof.
% 5.06/1.08
% 5.06/1.08
% 5.06/1.08 fork 6: search terminated without proof.
% 5.06/1.09
% 5.06/1.09 fork 1: search finished without proof.
% 5.06/1.10
% 5.06/1.10 **** run 43 fork 2 starts with strategy
% 5.06/1.10 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.06/1.10
% 5.06/1.10
% 5.06/1.10 fork 0: search terminated without proof.
% 5.06/1.10
% 5.06/1.10 **** run 47 fork 6 starts with strategy
% 5.06/1.10 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.06/1.11
% 5.06/1.11 **** run 42 fork 1 starts with strategy
% 5.06/1.11 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 5.06/1.12
% 5.06/1.12 **** run 41 fork 0 starts with strategy
% 5.06/1.12 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 5.86/1.17
% 5.86/1.17
% 5.86/1.17 fork 3: search terminated without proof.
% 5.86/1.18
% 5.86/1.18 fork 4: search finished without proof.
% 5.86/1.18
% 5.86/1.18 fork 5: search finished without proof.
% 5.86/1.18
% 5.86/1.18 fork 7: search finished without proof.
% 5.86/1.19
% 5.86/1.19 fork 6: search finished without proof.
% 5.86/1.19
% 5.86/1.19 **** run 44 fork 3 starts with strategy
% 5.86/1.19 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 6.40/1.20
% 6.40/1.20 **** run 45 fork 4 starts with strategy
% 6.40/1.20 {"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}
% 6.40/1.20
% 6.40/1.20 **** run 48 fork 7 starts with strategy
% 6.40/1.20 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.40/1.20
% 6.40/1.20 **** run 46 fork 5 starts with strategy
% 6.40/1.20 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.40/1.21
% 6.40/1.21 **** run 55 fork 6 starts with strategy
% 6.40/1.21 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.40/1.23
% 6.40/1.23
% 6.40/1.23 fork 2: search terminated without proof.
% 6.40/1.24
% 6.40/1.24
% 6.40/1.24 fork 1: search terminated without proof.
% 6.40/1.24
% 6.40/1.24 **** run 51 fork 2 starts with strategy
% 6.40/1.24 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.40/1.25
% 6.40/1.25
% 6.40/1.25 fork 0: search terminated without proof.
% 6.40/1.26
% 6.40/1.26 **** run 50 fork 1 starts with strategy
% 6.40/1.26 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.95/1.27
% 6.95/1.27 **** run 49 fork 0 starts with strategy
% 6.95/1.27 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.95/1.28
% 6.95/1.28 fork 5: search finished without proof.
% 6.95/1.30
% 6.95/1.30 **** run 54 fork 5 starts with strategy
% 6.95/1.31 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.95/1.32
% 6.95/1.32
% 6.95/1.32 fork 3: search terminated without proof.
% 6.95/1.33
% 6.95/1.33
% 6.95/1.33 fork 7: search terminated without proof.
% 6.95/1.34
% 6.95/1.34 fork 6: search finished without proof.
% 6.95/1.34
% 6.95/1.34
% 6.95/1.34 fork 4: search terminated without proof.
% 6.95/1.34
% 6.95/1.34 **** run 52 fork 3 starts with strategy
% 6.95/1.34 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.95/1.35
% 6.95/1.35 **** run 56 fork 7 starts with strategy
% 6.95/1.35 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.95/1.35
% 6.95/1.35 **** run 53 fork 4 starts with strategy
% 6.95/1.35 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 6.95/1.35
% 6.95/1.35 **** run 63 fork 6 starts with strategy
% 6.95/1.36 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 7.82/1.37
% 7.82/1.37
% 7.82/1.37 fork 2: search terminated without proof.
% 7.82/1.39
% 7.82/1.39 **** run 59 fork 2 starts with strategy
% 7.82/1.39 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 7.82/1.39
% 7.82/1.39
% 7.82/1.39 fork 1: search terminated without proof.
% 7.82/1.40
% 7.82/1.40 fork 0: search finished without proof.
% 8.06/1.41
% 8.06/1.41 **** run 58 fork 1 starts with strategy
% 8.06/1.41 {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 8.06/1.42
% 8.06/1.42 **** run 57 fork 0 starts with strategy
% 8.06/1.42 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 8.24/1.43
% 8.24/1.43
% 8.24/1.43 fork 5: search terminated without proof.
% 8.24/1.45
% 8.24/1.45 fork 1: search finished without proof.
% 8.24/1.46
% 8.24/1.46 **** run 62 fork 5 starts with strategy
% 8.24/1.46 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.24/1.47
% 8.24/1.47 **** run 66 fork 1 starts with strategy
% 8.24/1.47 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.24/1.47
% 8.24/1.47
% 8.24/1.47 fork 3: search terminated without proof.
% 8.24/1.48
% 8.24/1.48 fork 7: search finished without proof.
% 8.24/1.49
% 8.24/1.49
% 8.24/1.49 fork 4: search terminated without proof.
% 8.24/1.49
% 8.24/1.49 **** run 60 fork 3 starts with strategy
% 8.24/1.49 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.24/1.50
% 8.24/1.50 **** run 64 fork 7 starts with strategy
% 8.24/1.50 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.24/1.51
% 8.24/1.51 **** run 61 fork 4 starts with strategy
% 8.24/1.51 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.98/1.52
% 8.98/1.52 fork 0: search finished without proof.
% 8.98/1.54
% 8.98/1.54 **** run 65 fork 0 starts with strategy
% 8.98/1.54 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 15.37/2.37
% 15.37/2.37 fork 6: search finished without proof.
% 15.37/2.39
% 15.37/2.39 **** run 71 fork 6 starts with strategy
% 15.37/2.39 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 15.37/2.40
% 15.37/2.40 fork 2: search finished without proof.
% 15.37/2.42
% 15.37/2.42 **** run 67 fork 2 starts with strategy
% 15.37/2.42 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 16.13/2.43
% 16.13/2.43 fork 5: search finished without proof.
% 16.13/2.46
% 16.13/2.46 **** run 70 fork 5 starts with strategy
% 16.13/2.46 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 16.75/2.50
% 16.75/2.50
% 16.75/2.50 fork 1: search terminated without proof.
% 16.75/2.51
% 16.75/2.51 fork 0: search finished without proof.
% 16.75/2.51
% 16.75/2.51 fork 3: search finished without proof.
% 16.75/2.52
% 16.75/2.52 **** run 74 fork 1 starts with strategy
% 16.75/2.52 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 16.75/2.53
% 16.75/2.53 **** run 73 fork 0 starts with strategy
% 16.75/2.53 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 16.75/2.53
% 16.75/2.53
% 16.75/2.53 fork 7: search terminated without proof.
% 16.75/2.53
% 16.75/2.53 **** run 68 fork 3 starts with strategy
% 16.75/2.53 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":3}
% 16.75/2.55
% 16.75/2.55 **** run 72 fork 7 starts with strategy
% 16.75/2.55 {"max_dseconds":10,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 16.75/2.56
% 16.75/2.56
% 16.75/2.56 fork 4: search terminated without proof.
% 16.75/2.57 No candidate clauses found.
% 16.75/2.57
% 16.75/2.57
% 16.75/2.57 fork 3: search terminated without proof.
% 16.75/2.58
% 16.75/2.58 **** run 69 fork 4 starts with strategy
% 16.75/2.58 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 17.46/2.59
% 17.46/2.59 fork 7: search finished without proof.
% 17.46/2.59
% 17.46/2.59 **** run 76 fork 3 starts with strategy
% 17.46/2.59 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 17.46/2.60
% 17.46/2.60 **** run 80 fork 7 starts with strategy
% 17.46/2.60 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 24.04/3.45
% 24.04/3.45
% 24.04/3.45 fork 6: search terminated without proof.
% 24.04/3.45
% 24.04/3.45
% 24.04/3.45 fork 2: search terminated without proof.
% 24.04/3.46
% 24.04/3.46 **** run 79 fork 6 starts with strategy
% 24.04/3.46 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 24.04/3.47
% 24.04/3.47 **** run 75 fork 2 starts with strategy
% 24.04/3.47 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 24.58/3.48
% 24.58/3.48
% 24.58/3.48 fork 5: search terminated without proof.
% 24.58/3.51
% 24.58/3.51 **** run 78 fork 5 starts with strategy
% 24.58/3.51 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 24.58/3.55
% 24.58/3.55
% 24.58/3.55 fork 1: search terminated without proof.
% 24.58/3.56
% 24.58/3.56
% 24.58/3.56 fork 0: search terminated without proof.
% 24.58/3.56
% 24.58/3.56 fork 4: search finished without proof.
% 24.58/3.56
% 24.58/3.56 **** run 82 fork 1 starts with strategy
% 24.58/3.56 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":1}
% 25.18/3.58
% 25.18/3.58 **** run 81 fork 0 starts with strategy
% 25.18/3.58 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 25.18/3.58
% 25.18/3.58 **** run 77 fork 4 starts with strategy
% 25.18/3.58 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 25.34/3.61
% 25.34/3.61 fork 7: search finished without proof.
% 25.54/3.63
% 25.54/3.63 **** run 88 fork 7 starts with strategy
% 25.54/3.63 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 29.87/4.26
% 29.87/4.26
% 29.87/4.26 result: proof found
% 29.87/4.26 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.87/4.26 by run 76 fork 3 strategy {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 29.87/4.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.87/4.26
% 29.87/4.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 29.87/4.26
% 29.87/4.26 run 76 fork 3 statistics:
% 29.87/4.26 ----------------------------------
% 29.87/4.26 this run seconds: 0.831918
% 29.87/4.26 total seconds: 3.033614
% 29.87/4.26 stat_given_used: 2958
% 29.87/4.26 stat_given_used_at_endgame: 0
% 29.87/4.26 stat_given_candidates: 36429
% 29.87/4.26 stat_given_candidates_at_endgame: 0
% 29.87/4.26 stat_given_candidates_h: 0
% 29.87/4.26 stat_binres_derived_cl: 2102
% 29.87/4.26 stat_binres_derived_cl_h: 0
% 29.87/4.26 stat_factor_derived_cl: 0
% 29.87/4.26 stat_para_derived_cl: 79818
% 29.87/4.26 stat_tautologies_discarded: 1231
% 29.87/4.26 stat_forward_subsumed: 4743
% 29.87/4.26 stat_derived_cut: 5616
% 29.87/4.26 stat_derived_rewritten: 10728
% 29.87/4.27 stat_weight_discarded_building: 0
% 29.87/4.27 stat_weight_discarded_cl: 27208
% 29.87/4.27 stat_internlimit_discarded_cl: 0
% 29.87/4.27 stat_simplified: 11830 simplified 0 derived 0 given
% 29.87/4.27 stat_kept_cl: 47151
% 29.87/4.27 stat_built_cl: 92105
% 29.87/4.27 stat_hyperres_partial_cl: 0
% 29.87/4.27 stat_made_rewriters: 17
% 29.87/4.27 stat_backward_subsumed: 0
% 29.87/4.27 stat_propagated_subsumed: 0
% 29.87/4.27 stat_clsubs_attempted: 193761
% 29.87/4.27 stat_clsubs_fact_groundunit_found: 0
% 29.87/4.27 stat_clsubs_rule_groundunit_found: 172
% 29.87/4.27 stat_clsubs_top_meta_attempted: 43019131
% 29.87/4.27 stat_clsubs_top_meta_failed: 42825370
% 29.87/4.27 stat_clsubs_top_meta_nonpref_attempted: 43019131
% 29.87/4.27 stat_clsubs_top_meta_nonpref_succeeded: 12326772
% 29.87/4.27 stat_clsubs_top_meta_pref_attempted: 12326772
% 29.87/4.27 stat_clsubs_top_meta_pref1_succeeded: 6939526
% 29.87/4.27 stat_clsubs_top_meta_pref2_succeeded: 460040
% 29.87/4.27 stat_clsubs_top_meta_pref3_succeeded: 193761
% 29.87/4.27 stat_clsubs_top_meta_pref_succeeded: 193761
% 29.87/4.27 stat_clsubs_meta_attempted: 426297
% 29.87/4.27 stat_clsubs_meta_failed: 339039
% 29.87/4.27 stat_clsubs_predsymbs_attempted: 0
% 29.87/4.27 stat_clsubs_unit_attempted: 0
% 29.87/4.27 stat_clsubs_full_attempted: 193761
% 29.87/4.27 stat_forwardsubs_attempted: 79103
% 29.87/4.27 stat_lit_hash_added: 10003
% 29.87/4.27 stat_lit_hash_computed: 733178
% 29.87/4.27 stat_lit_hash_match_found: 15039
% 29.87/4.27 stat_lit_hash_match_miss: 1091466
% 29.87/4.27 stat_lit_hash_cut_ok: 5159
% 29.87/4.27 stat_lit_strong_cut_ok: 0
% 29.87/4.27 stat_lit_hash_subsume_ok: 4743
% 29.87/4.27 clqueue els 10000000 used 1
% 29.87/4.27 clactive els 10000000 used 2959
% 29.87/4.27 clactivesubsume els 10000000 used 16693
% 29.87/4.27 queue_termbuf els 200000000 used 3839299
% 29.87/4.27 hyper_termbuf els 100000000 used 1
% 29.87/4.27 active_termbuf els 100000000 used 98567
% 29.87/4.27 varstack els 5000 last used 1
% 29.87/4.27 given_termbuf els 10000000 last used 1
% 29.87/4.27 simplified_termbuf els 10000000 last used 1
% 29.87/4.27 derived_termbuf els 10000000 last used 21
% 29.87/4.27 wr_mallocs: 19942
% 29.87/4.27 wr_callocs: 21
% 29.87/4.27 wr_reallocs: 1672
% 29.87/4.27 wr_frees: 4
% 29.87/4.27 wr_malloc_bytes: 4163252644
% 29.87/4.27 wr_calloc_bytes: 112065536
% 29.87/4.27 wr_realloc_bytes: 1645608
% 29.87/4.27 wr_realloc_freebytes: 0
% 29.87/4.27 ----------------------------------
%------------------------------------------------------------------------------