%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG105+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:27:51 EDT 2023
% Result : Theorem 18.49s 2.86s
% Output : CNFRefutation 18.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof('ax4_$sk',plain,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
inference(negpush_and_skolemize,[],[ax4]) ).
fof(ax4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
input ).
fof('ax8_$sk',plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(negpush_and_skolemize,[],[ax8]) ).
fof(ax8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
input ).
fof('ax20_$sk',plain,
( h7(e13) = op2(e20,e22)
& h7(e10) = op2(op2(e20,e22),op2(e20,e22))
& h7(e12) = e20
& h7(e11) = e22 ),
inference(negpush_and_skolemize,[],[ax20]) ).
fof(ax20,axiom,
( h7(e11) = e22
& h7(e12) = e20
& h7(e10) = op2(op2(e20,e22),op2(e20,e22))
& h7(e13) = op2(e20,e22) ),
input ).
fof('ax21_$sk',plain,
( h8(e13) = op2(e21,e22)
& h8(e10) = op2(op2(e21,e22),op2(e21,e22))
& h8(e12) = e21
& h8(e11) = e22 ),
inference(negpush_and_skolemize,[],[ax21]) ).
fof(ax21,axiom,
( h8(e11) = e22
& h8(e12) = e21
& h8(e10) = op2(op2(e21,e22),op2(e21,e22))
& h8(e13) = op2(e21,e22) ),
input ).
fof('ax24_$sk',plain,
( h11(e13) = op2(e21,e23)
& h11(e10) = op2(op2(e21,e23),op2(e21,e23))
& h11(e12) = e21
& h11(e11) = e23 ),
inference(negpush_and_skolemize,[],[ax24]) ).
fof(ax24,axiom,
( h11(e11) = e23
& h11(e12) = e21
& h11(e10) = op2(op2(e21,e23),op2(e21,e23))
& h11(e13) = op2(e21,e23) ),
input ).
fof('ax11_$sk',plain,
( ( ( op2(e23,op2(e23,e23)) = op2(e23,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e20,e23)) = op2(e20,e23) )
| ( op2(e22,op2(e23,e22)) = op2(e23,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e20,e22)) = op2(e20,e22) )
| ( op2(e21,op2(e23,e21)) = op2(e23,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e20,e21)) = op2(e20,e21) )
| ( op2(e20,op2(e23,e20)) = op2(e23,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e20,e20)) = op2(e20,e20) ) )
& op2(op2(e23,e23),e23) = e23
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e20),e23) = e20
& op2(op2(e22,e23),e22) = e23
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e20),e22) = e20
& op2(op2(e21,e23),e21) = e23
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e20),e21) = e20
& op2(op2(e20,e23),e20) = e23
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e20),e20) = e20 ),
inference(negpush_and_skolemize,[],[ax11]) ).
fof(ax11,axiom,
( op2(op2(e20,e20),e20) = e20
& op2(op2(e20,e21),e20) = e21
& op2(op2(e20,e22),e20) = e22
& op2(op2(e20,e23),e20) = e23
& op2(op2(e21,e20),e21) = e20
& op2(op2(e21,e21),e21) = e21
& op2(op2(e21,e22),e21) = e22
& op2(op2(e21,e23),e21) = e23
& op2(op2(e22,e20),e22) = e20
& op2(op2(e22,e21),e22) = e21
& op2(op2(e22,e22),e22) = e22
& op2(op2(e22,e23),e22) = e23
& op2(op2(e23,e20),e23) = e20
& op2(op2(e23,e21),e23) = e21
& op2(op2(e23,e22),e23) = e22
& op2(op2(e23,e23),e23) = e23
& ( ( op2(e20,op2(e20,e20)) = op2(e20,e20)
& op2(e20,op2(e21,e20)) = op2(e21,e20)
& op2(e20,op2(e22,e20)) = op2(e22,e20)
& op2(e20,op2(e23,e20)) = op2(e23,e20) )
| ( op2(e21,op2(e20,e21)) = op2(e20,e21)
& op2(e21,op2(e21,e21)) = op2(e21,e21)
& op2(e21,op2(e22,e21)) = op2(e22,e21)
& op2(e21,op2(e23,e21)) = op2(e23,e21) )
| ( op2(e22,op2(e20,e22)) = op2(e20,e22)
& op2(e22,op2(e21,e22)) = op2(e21,e22)
& op2(e22,op2(e22,e22)) = op2(e22,e22)
& op2(e22,op2(e23,e22)) = op2(e23,e22) )
| ( op2(e23,op2(e20,e23)) = op2(e20,e23)
& op2(e23,op2(e21,e23)) = op2(e21,e23)
& op2(e23,op2(e22,e23)) = op2(e22,e23)
& op2(e23,op2(e23,e23)) = op2(e23,e23) ) ) ),
input ).
fof('ax22_$sk',plain,
( h9(e13) = op2(e23,e22)
& h9(e10) = op2(op2(e23,e22),op2(e23,e22))
& h9(e12) = e23
& h9(e11) = e22 ),
inference(negpush_and_skolemize,[],[ax22]) ).
fof(ax22,axiom,
( h9(e11) = e22
& h9(e12) = e23
& h9(e10) = op2(op2(e23,e22),op2(e23,e22))
& h9(e13) = op2(e23,e22) ),
input ).
fof('ax13_$sk',plain,
( e23 = op2(e22,e21)
& e20 = op2(op2(e22,e21),op2(e22,e21)) ),
inference(negpush_and_skolemize,[],[ax13]) ).
fof(ax13,axiom,
( e20 = op2(op2(e22,e21),op2(e22,e21))
& e23 = op2(e22,e21) ),
input ).
fof('ax6_$sk',plain,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
inference(negpush_and_skolemize,[],[ax6]) ).
fof(ax6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
input ).
fof('ax23_$sk',plain,
( h10(e13) = op2(e20,e23)
& h10(e10) = op2(op2(e20,e23),op2(e20,e23))
& h10(e12) = e20
& h10(e11) = e23 ),
inference(negpush_and_skolemize,[],[ax23]) ).
fof(ax23,axiom,
( h10(e11) = e23
& h10(e12) = e20
& h10(e10) = op2(op2(e20,e23),op2(e20,e23))
& h10(e13) = op2(e20,e23) ),
input ).
fof('ax19_$sk',plain,
( h6(e13) = op2(e23,e21)
& h6(e10) = op2(op2(e23,e21),op2(e23,e21))
& h6(e12) = e23
& h6(e11) = e21 ),
inference(negpush_and_skolemize,[],[ax19]) ).
fof(ax19,axiom,
( h6(e11) = e21
& h6(e12) = e23
& h6(e10) = op2(op2(e23,e21),op2(e23,e21))
& h6(e13) = op2(e23,e21) ),
input ).
fof('ax14_$sk',plain,
( h1(e13) = op2(e21,e20)
& h1(e10) = op2(op2(e21,e20),op2(e21,e20))
& h1(e12) = e21
& h1(e11) = e20 ),
inference(negpush_and_skolemize,[],[ax14]) ).
fof(ax14,axiom,
( h1(e11) = e20
& h1(e12) = e21
& h1(e10) = op2(op2(e21,e20),op2(e21,e20))
& h1(e13) = op2(e21,e20) ),
input ).
fof('ax25_$sk',plain,
( h12(e13) = op2(e22,e23)
& h12(e10) = op2(op2(e22,e23),op2(e22,e23))
& h12(e12) = e22
& h12(e11) = e23 ),
inference(negpush_and_skolemize,[],[ax25]) ).
fof(ax25,axiom,
( h12(e11) = e23
& h12(e12) = e22
& h12(e10) = op2(op2(e22,e23),op2(e22,e23))
& h12(e13) = op2(e22,e23) ),
input ).
fof('ax16_$sk',plain,
( h3(e13) = op2(e23,e20)
& h3(e10) = op2(op2(e23,e20),op2(e23,e20))
& h3(e12) = e23
& h3(e11) = e20 ),
inference(negpush_and_skolemize,[],[ax16]) ).
fof(ax16,axiom,
( h3(e11) = e20
& h3(e12) = e23
& h3(e10) = op2(op2(e23,e20),op2(e23,e20))
& h3(e13) = op2(e23,e20) ),
input ).
fof('ax3_$sk',plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
inference(negpush_and_skolemize,[],[ax3]) ).
fof(ax3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
input ).
fof('ax17_$sk',plain,
( h4(e13) = op2(e20,e21)
& h4(e10) = op2(op2(e20,e21),op2(e20,e21))
& h4(e12) = e20
& h4(e11) = e21 ),
inference(negpush_and_skolemize,[],[ax17]) ).
fof(ax17,axiom,
( h4(e11) = e21
& h4(e12) = e20
& h4(e10) = op2(op2(e20,e21),op2(e20,e21))
& h4(e13) = op2(e20,e21) ),
input ).
fof('ax15_$sk',plain,
( h2(e13) = op2(e22,e20)
& h2(e10) = op2(op2(e22,e20),op2(e22,e20))
& h2(e12) = e22
& h2(e11) = e20 ),
inference(negpush_and_skolemize,[],[ax15]) ).
fof(ax15,axiom,
( h2(e11) = e20
& h2(e12) = e22
& h2(e10) = op2(op2(e22,e20),op2(e22,e20))
& h2(e13) = op2(e22,e20) ),
input ).
fof('ax2_$sk',plain,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
inference(negpush_and_skolemize,[],[ax2]) ).
fof(ax2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
input ).
fof('ax10_$sk',plain,
( ( ( op1(e13,op1(e13,e13)) = op1(e13,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e10,e13)) = op1(e10,e13) )
| ( op1(e12,op1(e13,e12)) = op1(e13,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e10,e12)) = op1(e10,e12) )
| ( op1(e11,op1(e13,e11)) = op1(e13,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e10,e11)) = op1(e10,e11) )
| ( op1(e10,op1(e13,e10)) = op1(e13,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e10,e10)) = op1(e10,e10) ) )
& op1(op1(e13,e13),e13) = e13
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e10),e13) = e10
& op1(op1(e12,e13),e12) = e13
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e10),e12) = e10
& op1(op1(e11,e13),e11) = e13
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e10),e11) = e10
& op1(op1(e10,e13),e10) = e13
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e10),e10) = e10 ),
inference(negpush_and_skolemize,[],[ax10]) ).
fof(ax10,axiom,
( op1(op1(e10,e10),e10) = e10
& op1(op1(e10,e11),e10) = e11
& op1(op1(e10,e12),e10) = e12
& op1(op1(e10,e13),e10) = e13
& op1(op1(e11,e10),e11) = e10
& op1(op1(e11,e11),e11) = e11
& op1(op1(e11,e12),e11) = e12
& op1(op1(e11,e13),e11) = e13
& op1(op1(e12,e10),e12) = e10
& op1(op1(e12,e11),e12) = e11
& op1(op1(e12,e12),e12) = e12
& op1(op1(e12,e13),e12) = e13
& op1(op1(e13,e10),e13) = e10
& op1(op1(e13,e11),e13) = e11
& op1(op1(e13,e12),e13) = e12
& op1(op1(e13,e13),e13) = e13
& ( ( op1(e10,op1(e10,e10)) = op1(e10,e10)
& op1(e10,op1(e11,e10)) = op1(e11,e10)
& op1(e10,op1(e12,e10)) = op1(e12,e10)
& op1(e10,op1(e13,e10)) = op1(e13,e10) )
| ( op1(e11,op1(e10,e11)) = op1(e10,e11)
& op1(e11,op1(e11,e11)) = op1(e11,e11)
& op1(e11,op1(e12,e11)) = op1(e12,e11)
& op1(e11,op1(e13,e11)) = op1(e13,e11) )
| ( op1(e12,op1(e10,e12)) = op1(e10,e12)
& op1(e12,op1(e11,e12)) = op1(e11,e12)
& op1(e12,op1(e12,e12)) = op1(e12,e12)
& op1(e12,op1(e13,e12)) = op1(e13,e12) )
| ( op1(e13,op1(e10,e13)) = op1(e10,e13)
& op1(e13,op1(e11,e13)) = op1(e11,e13)
& op1(e13,op1(e12,e13)) = op1(e12,e13)
& op1(e13,op1(e13,e13)) = op1(e13,e13) ) ) ),
input ).
fof('ax12_$sk',plain,
( e13 = op1(e12,e11)
& e10 = op1(op1(e12,e11),op1(e12,e11)) ),
inference(negpush_and_skolemize,[],[ax12]) ).
fof(ax12,axiom,
( e10 = op1(op1(e12,e11),op1(e12,e11))
& e13 = op1(e12,e11) ),
input ).
fof('ax7_$sk',plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(negpush_and_skolemize,[],[ax7]) ).
fof(ax7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
input ).
fof('ax5_$sk',plain,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
inference(negpush_and_skolemize,[],[ax5]) ).
fof(ax5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
input ).
fof('co1_$sk',plain,
( ( ( h12(e13) != e23
& h12(e12) != e23
& h12(e11) != e23
& h12(e10) != e23 )
| ( h12(e13) != e22
& h12(e12) != e22
& h12(e11) != e22
& h12(e10) != e22 )
| ( h12(e13) != e21
& h12(e12) != e21
& h12(e11) != e21
& h12(e10) != e21 )
| ( h12(e13) != e20
& h12(e12) != e20
& h12(e11) != e20
& h12(e10) != e20 )
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( h11(e13) != e23
& h11(e12) != e23
& h11(e11) != e23
& h11(e10) != e23 )
| ( h11(e13) != e22
& h11(e12) != e22
& h11(e11) != e22
& h11(e10) != e22 )
| ( h11(e13) != e21
& h11(e12) != e21
& h11(e11) != e21
& h11(e10) != e21 )
| ( h11(e13) != e20
& h11(e12) != e20
& h11(e11) != e20
& h11(e10) != e20 )
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( h10(e13) != e23
& h10(e12) != e23
& h10(e11) != e23
& h10(e10) != e23 )
| ( h10(e13) != e22
& h10(e12) != e22
& h10(e11) != e22
& h10(e10) != e22 )
| ( h10(e13) != e21
& h10(e12) != e21
& h10(e11) != e21
& h10(e10) != e21 )
| ( h10(e13) != e20
& h10(e12) != e20
& h10(e11) != e20
& h10(e10) != e20 )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( h9(e13) != e23
& h9(e12) != e23
& h9(e11) != e23
& h9(e10) != e23 )
| ( h9(e13) != e22
& h9(e12) != e22
& h9(e11) != e22
& h9(e10) != e22 )
| ( h9(e13) != e21
& h9(e12) != e21
& h9(e11) != e21
& h9(e10) != e21 )
| ( h9(e13) != e20
& h9(e12) != e20
& h9(e11) != e20
& h9(e10) != e20 )
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( h8(e13) != e23
& h8(e12) != e23
& h8(e11) != e23
& h8(e10) != e23 )
| ( h8(e13) != e22
& h8(e12) != e22
& h8(e11) != e22
& h8(e10) != e22 )
| ( h8(e13) != e21
& h8(e12) != e21
& h8(e11) != e21
& h8(e10) != e21 )
| ( h8(e13) != e20
& h8(e12) != e20
& h8(e11) != e20
& h8(e10) != e20 )
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( h7(e13) != e23
& h7(e12) != e23
& h7(e11) != e23
& h7(e10) != e23 )
| ( h7(e13) != e22
& h7(e12) != e22
& h7(e11) != e22
& h7(e10) != e22 )
| ( h7(e13) != e21
& h7(e12) != e21
& h7(e11) != e21
& h7(e10) != e21 )
| ( h7(e13) != e20
& h7(e12) != e20
& h7(e11) != e20
& h7(e10) != e20 )
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( h6(e13) != e23
& h6(e12) != e23
& h6(e11) != e23
& h6(e10) != e23 )
| ( h6(e13) != e22
& h6(e12) != e22
& h6(e11) != e22
& h6(e10) != e22 )
| ( h6(e13) != e21
& h6(e12) != e21
& h6(e11) != e21
& h6(e10) != e21 )
| ( h6(e13) != e20
& h6(e12) != e20
& h6(e11) != e20
& h6(e10) != e20 )
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| ( h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 )
| ( h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 )
| ( h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
input ).
cnf('1',plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('2',plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('3',plain,
e21 != e23,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('4',plain,
h7(e13) = op2(e20,e22),
inference(cnf_transformation,[],['ax20_$sk']) ).
cnf('5',plain,
h8(e13) = op2(e21,e22),
inference(cnf_transformation,[],['ax21_$sk']) ).
cnf('6',plain,
h11(e10) = op2(op2(e21,e23),op2(e21,e23)),
inference(cnf_transformation,[],['ax24_$sk']) ).
cnf('7',plain,
h11(e13) = op2(e21,e23),
inference(cnf_transformation,[],['ax24_$sk']) ).
cnf('8',plain,
op2(op2(e23,e22),e23) = e22,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('9',plain,
h9(e13) = op2(e23,e22),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('10',plain,
op2(op2(e22,e21),e22) = e21,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('11',plain,
e23 = op2(e22,e21),
inference(cnf_transformation,[],['ax13_$sk']) ).
cnf('12',plain,
h9(e13) = e21,
inference(simplify,[then_simplify],['10','11','9']) ).
cnf('13',plain,
h11(e13) = e22,
inference(simplify,[then_simplify],['8','9','12','7']) ).
cnf('14',plain,
h11(e10) = op2(e22,e22),
inference(simplify,[then_simplify],['6','7','13','7','13']) ).
cnf('15',plain,
( h7(e13) = e23
| h8(e13) = e23
| h11(e10) = e23 ),
inference(simplify,[then_simplify],['2','3','4','5','14','9','12']) ).
cnf('16',plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('17',plain,
h10(e13) = op2(e20,e23),
inference(cnf_transformation,[],['ax23_$sk']) ).
cnf('18',plain,
e20 = op2(op2(e22,e21),op2(e22,e21)),
inference(cnf_transformation,[],['ax13_$sk']) ).
cnf('19',plain,
e20 = op2(e23,e23),
inference(simplify,[then_simplify],['18','11','11']) ).
cnf('20',plain,
op2(op2(e23,e23),e23) = e23,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('21',plain,
op2(e20,e23) = e23,
inference(paramodulation,[],['19','20']) ).
cnf('22',plain,
h10(e13) = e23,
inference(simplify,[],['21','17']) ).
cnf('23',plain,
h7(e13) != e23,
inference(simplify,[then_simplify],['16','4','17','22']) ).
cnf('24',plain,
( h11(e10) = e23
| h8(e13) = e23 ),
inference(resolution,[],['15','23']) ).
cnf('25',plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('26',plain,
e23 != h11(e10),
inference(simplify,[then_simplify],['25','11','14']) ).
cnf('27',plain,
h8(e13) = e23,
inference(paramodulation,[],['24','26']) ).
cnf('28',plain,
op2(op2(e21,e22),e21) = e22,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('29',plain,
op2(h8(e13),e21) = e22,
inference(simplify,[],['28','5']) ).
cnf('30',plain,
op2(e23,e21) = e22,
inference(paramodulation,[],['27','29']) ).
cnf('31',plain,
h6(e13) = op2(e23,e21),
inference(cnf_transformation,[],['ax19_$sk']) ).
cnf('32',plain,
h6(e13) = e22,
inference(simplify,[],['30','31']) ).
cnf('33',plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('34',plain,
h6(e13) != e20,
inference(simplify,[then_simplify],['33','31','19']) ).
cnf('35',plain,
e22 != e20,
inference(paramodulation,[],['32','34']) ).
cnf('36',plain,
h1(e13) = op2(e21,e20),
inference(cnf_transformation,[],['ax14_$sk']) ).
cnf('37',plain,
h9(e10) = op2(op2(e23,e22),op2(e23,e22)),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('38',plain,
h9(e10) = op2(e21,e21),
inference(simplify,[then_simplify],['37','9','12','9','12']) ).
cnf('39',plain,
op2(op2(e23,e21),e23) = e21,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('40',plain,
op2(h6(e13),e23) = e21,
inference(simplify,[],['39','31']) ).
cnf('41',plain,
op2(e22,e23) = e21,
inference(paramodulation,[],['32','40']) ).
cnf('42',plain,
h12(e13) = op2(e22,e23),
inference(cnf_transformation,[],['ax25_$sk']) ).
cnf('43',plain,
h12(e13) = e21,
inference(simplify,[],['41','42']) ).
cnf('44',plain,
h12(e10) = op2(op2(e22,e23),op2(e22,e23)),
inference(cnf_transformation,[],['ax25_$sk']) ).
cnf('45',plain,
h12(e10) = op2(h12(e13),h12(e13)),
inference(simplify,[then_simplify],['44','42','42']) ).
cnf('46',plain,
h12(e10) = op2(h12(e13),e21),
inference(paramodulation,[],['43','45']) ).
cnf('47',plain,
h12(e10) = h9(e10),
inference(simplify,[then_simplify],['46','43','38']) ).
cnf('48',plain,
( h1(e13) = e20
| h12(e10) = e20
| e23 = e20 ),
inference(simplify,[then_simplify],['1','35','36','38','47','5','27','7','13']) ).
cnf('49',plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('50',plain,
e23 != e20,
inference(simplify,[then_simplify],['49','17','22','19']) ).
cnf('51',plain,
( h12(e10) = e20
| h1(e13) = e20 ),
inference(resolution,[],['48','50']) ).
cnf('52',plain,
( ~ $pr($df530)
| op2(e20,op2(e21,e20)) = op2(e21,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('53',plain,
e22 != e23,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('54',plain,
( ~ $pr($df530)
| op2(e20,h1(e13)) = h1(e13) ),
inference(simplify,[then_simplify],['52','53','36','36','11','7','13','11']) ).
cnf('55',plain,
( op2(e23,op2(e21,e23)) = op2(e21,e23)
| $pr($df530)
| $pr($df529) ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('56',plain,
e21 != e22,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('57',plain,
( ~ $pr($df529)
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('58',plain,
( ~ $pr($df529)
| e23 = e21 ),
inference(simplify,[then_simplify],['57','9','12','11','9','12']) ).
cnf('59',plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('60',plain,
h3(e13) = op2(e23,e20),
inference(cnf_transformation,[],['ax16_$sk']) ).
cnf('61',plain,
op2(op2(e20,e23),e20) = e23,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('62',plain,
op2(h10(e13),e20) = e23,
inference(simplify,[],['61','17']) ).
cnf('63',plain,
op2(e23,e20) = e23,
inference(paramodulation,[],['22','62']) ).
cnf('64',plain,
h3(e13) = e23,
inference(simplify,[],['63','60']) ).
cnf('65',plain,
e23 != e21,
inference(simplify,[then_simplify],['59','60','64','9','12']) ).
cnf('66',plain,
~ $pr($df529),
inference(resolution,[],['58','65']) ).
cnf('67',plain,
$pr($df530),
inference(simplify,[then_simplify],['55','56','66','7','13','9','12','7','13']) ).
cnf('68',plain,
op2(e20,h1(e13)) = h1(e13),
inference(resolution,[],['54','67']) ).
cnf('69',plain,
( op2(e20,e20) = h1(e13)
| h12(e10) = e20 ),
inference(paramodulation,[],['51','68']) ).
cnf('70',plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('71',plain,
op2(e20,e20) != h1(e13),
inference(simplify,[],['70','36']) ).
cnf('72',plain,
h12(e10) = e20,
inference(resolution,[],['69','71']) ).
cnf('73',plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('74',plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('75',plain,
h4(e13) = op2(e20,e21),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('76',plain,
h4(e13) != h6(e13),
inference(simplify,[then_simplify],['74','75','31']) ).
cnf('77',plain,
h4(e13) != e22,
inference(paramodulation,[],['32','76']) ).
cnf('78',plain,
( h4(e13) = e20
| h4(e13) = e21
| h4(e13) = e23 ),
inference(simplify,[then_simplify],['73','77','75','75','75','75']) ).
cnf('79',plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('80',plain,
h4(e13) != e23,
inference(simplify,[then_simplify],['79','75','17','22']) ).
cnf('81',plain,
( h4(e13) = e20
| h4(e13) = e21 ),
inference(resolution,[],['78','80']) ).
cnf('82',plain,
op2(op2(e20,e21),e20) = e21,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('83',plain,
op2(h4(e13),e20) = e21,
inference(simplify,[],['82','75']) ).
cnf('84',plain,
( op2(e21,e20) = e21
| h4(e13) = e20 ),
inference(paramodulation,[],['81','83']) ).
cnf('85',plain,
( h1(e13) = e21
| h4(e13) = e20 ),
inference(simplify,[],['84','36']) ).
cnf('86',plain,
( e21 = op2(e21,e20)
| h4(e13) = e20 ),
inference(paramodulation,[],['85','36']) ).
cnf('87',plain,
( e21 = h1(e13)
| h4(e13) = e20 ),
inference(simplify,[],['86','36']) ).
cnf('88',plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('89',plain,
h4(e13) != h9(e10),
inference(simplify,[then_simplify],['88','75','38']) ).
cnf('90',plain,
h4(e13) != h12(e10),
inference(paramodulation,[],['47','89']) ).
cnf('91',plain,
( e20 != h12(e10)
| e21 = h1(e13) ),
inference(paramodulation,[],['87','90']) ).
cnf('92',plain,
e21 = h1(e13),
inference(paramodulation,[],['72','91']) ).
cnf('93',plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('94',plain,
h2(e13) = op2(e22,e20),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('95',plain,
( op2(e20,e20) = e20
| h1(e13) = e20
| h2(e13) = e20
| e23 = e20 ),
inference(simplify,[then_simplify],['93','36','94','60','64']) ).
cnf('96',plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('97',plain,
h12(e13) != e20,
inference(simplify,[then_simplify],['96','42','19']) ).
cnf('98',plain,
e21 != e20,
inference(paramodulation,[],['43','97']) ).
cnf('99',plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('100',plain,
( h2(e13) = e20
| e23 = e20
| h11(e10) = e20 ),
inference(simplify,[then_simplify],['99','98','94','11','14','42','43']) ).
cnf('101',plain,
( h11(e10) = e20
| h2(e13) = e20 ),
inference(resolution,[],['100','50']) ).
cnf('102',plain,
( ~ $pr($df530)
| op2(e20,op2(e22,e20)) = op2(e22,e20)
| op2(e21,op2(e22,e21)) = op2(e22,e21) ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('103',plain,
( ~ $pr($df530)
| op2(e20,h2(e13)) = h2(e13) ),
inference(simplify,[then_simplify],['102','53','94','94','11','7','13','11']) ).
cnf('104',plain,
op2(e20,h2(e13)) = h2(e13),
inference(resolution,[],['103','67']) ).
cnf('105',plain,
( op2(e20,e20) = h2(e13)
| h11(e10) = e20 ),
inference(paramodulation,[],['101','104']) ).
cnf('106',plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('107',plain,
op2(e20,e20) != h2(e13),
inference(simplify,[],['106','94']) ).
cnf('108',plain,
h11(e10) = e20,
inference(resolution,[],['105','107']) ).
cnf('109',plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('110',plain,
( h2(e13) = e22
| e23 = e22
| h11(e10) = e22
| h12(e13) = e22 ),
inference(simplify,[then_simplify],['109','94','11','14','42']) ).
cnf('111',plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('112',plain,
h8(e13) != e22,
inference(simplify,[then_simplify],['111','5','7','13']) ).
cnf('113',plain,
e23 != e22,
inference(paramodulation,[],['27','112']) ).
cnf('114',plain,
( h11(e10) = e22
| h2(e13) = e22 ),
inference(paramodulation,[then_simplify],['43','110','113','56']) ).
cnf('115',plain,
( e22 = op2(e22,e22)
| h2(e13) = e22 ),
inference(paramodulation,[],['114','14']) ).
cnf('116',plain,
( e22 = h11(e10)
| h2(e13) = e22 ),
inference(simplify,[],['115','14']) ).
cnf('117',plain,
op2(op2(e22,e20),e22) = e20,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('118',plain,
op2(h2(e13),e22) = e20,
inference(simplify,[],['117','94']) ).
cnf('119',plain,
( op2(e22,e22) = e20
| e22 = h11(e10) ),
inference(paramodulation,[],['116','118']) ).
cnf('120',plain,
( h11(e10) = e20
| e22 = h11(e10) ),
inference(simplify,[],['119','14']) ).
cnf('121',plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('122',plain,
h2(e13) != h11(e10),
inference(simplify,[then_simplify],['121','94','14']) ).
cnf('123',plain,
( h2(e13) != e20
| e22 = h11(e10) ),
inference(paramodulation,[],['120','122']) ).
cnf('124',plain,
h2(e13) != e20,
inference(paramodulation,[then_simplify],['108','123','35']) ).
cnf('125',plain,
e23 != e20,
inference(paramodulation,[],['108','26']) ).
cnf('126',plain,
op2(e20,e20) = e20,
inference(paramodulation,[then_simplify],['92','95','98','124','125']) ).
cnf('127',plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('128',plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('129',plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('130',plain,
op1(op1(e12,e11),e12) = e11,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('131',plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],['ax12_$sk']) ).
cnf('132',plain,
op1(e13,e12) = e11,
inference(simplify,[],['130','131']) ).
cnf('133',plain,
op1(op1(e13,e12),e13) = e12,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('134',plain,
op1(e11,e13) = e12,
inference(paramodulation,[],['132','133']) ).
cnf('135',plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| e12 = e10 ),
inference(simplify,[],['129','134']) ).
cnf('136',plain,
( ~ $pr($df556)
| op1(e10,op1(e11,e10)) = op1(e11,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('137',plain,
e12 != e13,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('138',plain,
( ~ $pr($df556)
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(simplify,[then_simplify],['136','137','131','134','131']) ).
cnf('139',plain,
( op1(e13,op1(e11,e13)) = op1(e11,e13)
| $pr($df556)
| $pr($df555) ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('140',plain,
e11 != e12,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('141',plain,
( ~ $pr($df555)
| op1(e12,op1(e13,e12)) = op1(e13,e12) ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('142',plain,
( ~ $pr($df555)
| e13 = e11 ),
inference(simplify,[then_simplify],['141','132','131','132']) ).
cnf('143',plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('144',plain,
e10 = op1(op1(e12,e11),op1(e12,e11)),
inference(cnf_transformation,[],['ax12_$sk']) ).
cnf('145',plain,
e10 = op1(e13,e13),
inference(simplify,[then_simplify],['144','131','131']) ).
cnf('146',plain,
op1(op1(e13,e13),e13) = e13,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('147',plain,
op1(e10,e13) = e13,
inference(paramodulation,[],['145','146']) ).
cnf('148',plain,
op1(op1(e10,e13),e10) = e13,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('149',plain,
op1(e13,e10) = e13,
inference(paramodulation,[],['147','148']) ).
cnf('150',plain,
e13 != e11,
inference(simplify,[then_simplify],['143','149','132']) ).
cnf('151',plain,
~ $pr($df555),
inference(resolution,[],['142','150']) ).
cnf('152',plain,
$pr($df556),
inference(simplify,[then_simplify],['139','140','151','134','132','134']) ).
cnf('153',plain,
op1(e10,op1(e11,e10)) = op1(e11,e10),
inference(resolution,[],['138','152']) ).
cnf('154',plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('155',plain,
( op1(e11,e11) = e10
| op1(e11,e12) = e10
| e12 = e10 ),
inference(paramodulation,[then_simplify],['135','153','154']) ).
cnf('156',plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('157',plain,
e12 != e10,
inference(simplify,[then_simplify],['156','134','145']) ).
cnf('158',plain,
( op1(e11,e11) = e10
| op1(e11,e12) = e10 ),
inference(resolution,[],['155','157']) ).
cnf('159',plain,
op1(op1(e11,e11),e11) = e11,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('160',plain,
( op1(e10,e11) = e11
| op1(e11,e12) = e10 ),
inference(paramodulation,[],['158','159']) ).
cnf('161',plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('162',plain,
( op1(e10,e10) != e11
| op1(e11,e12) = e10 ),
inference(paramodulation,[],['160','161']) ).
cnf('163',plain,
op1(op1(e11,e12),e11) = e12,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('164',plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e12 ),
inference(paramodulation,[],['162','163']) ).
cnf('165',plain,
op1(op1(e10,e11),e10) = e11,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('166',plain,
( op1(e10,e10) != e11
| op1(e12,e10) = e11 ),
inference(paramodulation,[],['164','165']) ).
cnf('167',plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('168',plain,
op1(e10,e10) != e11,
inference(paramodulation,[],['166','167']) ).
cnf('169',plain,
( op1(e10,e11) = e11
| op1(e10,e12) = e11
| e13 = e11 ),
inference(simplify,[then_simplify],['128','168','147']) ).
cnf('170',plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('171',plain,
op1(e10,e12) != e11,
inference(simplify,[],['170','132']) ).
cnf('172',plain,
( op1(e10,e11) = e11
| e13 = e11 ),
inference(resolution,[],['169','171']) ).
cnf('173',plain,
op1(e10,e11) = e11,
inference(resolution,[],['172','150']) ).
cnf('174',plain,
( op1(e11,e10) = e11
| op1(e11,e12) = e10 ),
inference(paramodulation,[],['160','165']) ).
cnf('175',plain,
( op1(e11,e10) = e11
| op1(e10,e11) = e12 ),
inference(paramodulation,[],['174','163']) ).
cnf('176',plain,
op1(e11,e10) = e11,
inference(paramodulation,[then_simplify],['173','175','140']) ).
cnf('177',plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('178',plain,
( op1(e11,e10) != e10
| op1(e11,e12) = e10 ),
inference(paramodulation,[],['158','177']) ).
cnf('179',plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('180',plain,
op1(e11,e10) != e10,
inference(paramodulation,[],['178','179']) ).
cnf('181',plain,
e11 != e10,
inference(paramodulation,[],['176','180']) ).
cnf('182',plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('183',plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('184',plain,
e11 != e13,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('185',plain,
e10 != e13,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('186',plain,
( op1(e11,e11) = e10
| op1(e10,e11) = e12 ),
inference(paramodulation,[],['158','163']) ).
cnf('187',plain,
op1(e11,e11) = e10,
inference(paramodulation,[then_simplify],['173','186','140']) ).
cnf('188',plain,
op1(e11,e12) = e13,
inference(simplify,[then_simplify],['183','184','185','137','176','187','134']) ).
cnf('189',plain,
op1(e13,e11) = e12,
inference(paramodulation,[],['188','163']) ).
cnf('190',plain,
op1(op1(e13,e11),e13) = e11,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('191',plain,
op1(e12,e13) = e11,
inference(paramodulation,[],['189','190']) ).
cnf('192',plain,
( op1(e12,e10) = e10
| e13 = e10
| op1(e12,e12) = e10 ),
inference(simplify,[then_simplify],['182','181','131','191']) ).
cnf('193',plain,
( ~ $pr($df556)
| op1(e10,op1(e12,e10)) = op1(e12,e10)
| op1(e11,op1(e12,e11)) = op1(e12,e11) ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('194',plain,
( ~ $pr($df556)
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(simplify,[then_simplify],['193','137','131','134','131']) ).
cnf('195',plain,
op1(e10,op1(e12,e10)) = op1(e12,e10),
inference(resolution,[],['194','152']) ).
cnf('196',plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('197',plain,
( op1(e12,e12) = e10
| e13 = e10 ),
inference(paramodulation,[then_simplify],['192','195','196']) ).
cnf('198',plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('199',plain,
e13 != e10,
inference(simplify,[then_simplify],['198','147','145']) ).
cnf('200',plain,
op1(e12,e12) = e10,
inference(resolution,[],['197','199']) ).
cnf('201',plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('202',plain,
op1(e12,e10) != e10,
inference(paramodulation,[],['200','201']) ).
cnf('203',plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('204',plain,
e13 != op1(e12,e12),
inference(simplify,[],['203','131']) ).
cnf('205',plain,
e13 != e10,
inference(paramodulation,[],['200','204']) ).
cnf('206',plain,
op1(e10,e10) = e10,
inference(simplify,[then_simplify],['127','181','202','205','176','149']) ).
cnf('207',plain,
( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(e10) != e20
| ~ $pr($df178) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('208',plain,
h8(e11) = e22,
inference(cnf_transformation,[],['ax21_$sk']) ).
cnf('209',plain,
h8(e12) = e21,
inference(cnf_transformation,[],['ax21_$sk']) ).
cnf('210',plain,
h8(e10) = op2(op2(e21,e22),op2(e21,e22)),
inference(cnf_transformation,[],['ax21_$sk']) ).
cnf('211',plain,
h8(e10) = op2(h8(e13),h8(e13)),
inference(simplify,[then_simplify],['210','5','5']) ).
cnf('212',plain,
( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),e22)
| h8(op1(e11,e10)) != op2(e22,h8(e10))
| h8(op1(e10,e12)) != op2(h8(e10),e21)
| h8(op1(e11,e11)) != h11(e10)
| h8(op1(e12,e10)) != op2(e21,h8(e10))
| h8(e13) != op2(h8(e10),h8(e13))
| h8(op1(e11,e12)) != e23
| h8(e13) != op2(h8(e13),h8(e10))
| e21 != op2(e22,h8(e13))
| h8(op1(e12,e12)) != h9(e10)
| h8(op1(e13,e11)) != op2(h8(e13),e22)
| h8(op1(e12,e13)) != op2(e21,h8(e13))
| h8(e10) != e20
| ~ $pr($df178) ),
inference(simplify,[then_simplify],['207','208','208','209','208','208','14','209','147','208','209','11','131','209','208','5','149','134','209','208','209','209','38','208','209','132','208','209','29','145','211']) ).
cnf('213',plain,
( h8(op1(e10,e11)) != op2(h8(e10),e22)
| h8(op1(e10,e12)) != op2(h8(e10),e21)
| h8(op1(e11,e10)) != op2(e22,h8(e10))
| h8(op1(e12,e10)) != op2(e21,h8(e10))
| h8(op1(e12,e13)) != op2(e21,h8(e13))
| h8(op1(e13,e11)) != op2(h8(e13),e22)
| h8(e10) != op2(h8(e10),h8(e10))
| h8(e13) != op2(h8(e10),h8(e13))
| h8(e13) != op2(h8(e13),h8(e10))
| h8(op1(e12,e12)) != h9(e10)
| h8(op1(e11,e11)) != h11(e10)
| h8(op1(e11,e12)) != e23
| e21 != op2(e22,h8(e13))
| h8(e10) != e20
| ~ $pr($df178) ),
inference(paramodulation,[],['206','212']) ).
cnf('214',plain,
( h8(e13) != e23
| ~ $pr($df213) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('215',plain,
~ $pr($df213),
inference(resolution,[],['27','214']) ).
cnf('216',plain,
( $pr($df214)
| $pr($df213) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('217',plain,
$pr($df214),
inference(resolution,[],['215','216']) ).
cnf('218',plain,
( h8(e11) != e22
| ~ $pr($df214)
| $pr($df178)
| $pr($df177) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('219',plain,
( ~ $pr($df214)
| $pr($df178)
| $pr($df177) ),
inference(simplify,[],['218','208']) ).
cnf('220',plain,
( h8(e12) != e21
| ~ $pr($df177) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('221',plain,
~ $pr($df177),
inference(simplify,[],['220','209']) ).
cnf('222',plain,
( ~ $pr($df214)
| $pr($df178) ),
inference(resolution,[],['219','221']) ).
cnf('223',plain,
$pr($df178),
inference(resolution,[],['217','222']) ).
cnf('224',plain,
h8(e10) = op2(h8(e13),e23),
inference(paramodulation,[],['27','211']) ).
cnf('225',plain,
h8(e10) = e20,
inference(simplify,[then_simplify],['224','27','19']) ).
cnf('226',plain,
op1(op1(e12,e12),e12) = e12,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('227',plain,
op1(e10,e12) = e12,
inference(paramodulation,[],['200','226']) ).
cnf('228',plain,
op1(op1(e10,e12),e10) = e12,
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('229',plain,
op1(e12,e10) = e12,
inference(paramodulation,[],['227','228']) ).
cnf('230',plain,
( e22 != h7(e13)
| e21 != h4(e13)
| e22 != h2(e13)
| e21 != h1(e13)
| e20 != op2(e20,e20)
| e20 != h12(e10)
| e20 != h11(e10) ),
inference(simplify,[then_simplify],['213','223','173','208','225','4','227','209','225','75','176','208','225','94','229','209','225','36','191','208','27','7','13','189','209','27','9','12','225','225','225','27','225','27','17','22','27','27','225','60','64','200','225','47','187','225','188','27','27','42','43','225']) ).
cnf('231',plain,
op2(op2(e22,e22),e22) = e22,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('232',plain,
op2(h11(e10),e22) = e22,
inference(paramodulation,[],['14','231']) ).
cnf('233',plain,
( op2(e20,e22) = e22
| h2(e13) = e20 ),
inference(paramodulation,[],['101','232']) ).
cnf('234',plain,
( h7(e13) = e22
| h2(e13) = e20 ),
inference(simplify,[],['233','4']) ).
cnf('235',plain,
( e22 = op2(e20,e22)
| h2(e13) = e20 ),
inference(paramodulation,[],['234','4']) ).
cnf('236',plain,
( e22 = h7(e13)
| h2(e13) = e20 ),
inference(simplify,[],['235','4']) ).
cnf('237',plain,
( e20 != h11(e10)
| e22 = h7(e13) ),
inference(paramodulation,[],['236','122']) ).
cnf('238',plain,
e22 = h7(e13),
inference(paramodulation,[],['108','237']) ).
cnf('239',plain,
( e21 = op2(e20,e21)
| h4(e13) = e20 ),
inference(paramodulation,[],['81','75']) ).
cnf('240',plain,
( e21 = h4(e13)
| h4(e13) = e20 ),
inference(simplify,[],['239','75']) ).
cnf('241',plain,
( e20 != h12(e10)
| e21 = h4(e13) ),
inference(paramodulation,[],['240','90']) ).
cnf('242',plain,
e21 = h4(e13),
inference(paramodulation,[],['72','241']) ).
cnf('243',plain,
op2(op2(e20,e22),e20) = e22,
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('244',plain,
op2(h7(e13),e20) = e22,
inference(simplify,[],['243','4']) ).
cnf('245',plain,
( op2(e22,e20) = e22
| h2(e13) = e20 ),
inference(paramodulation,[],['234','244']) ).
cnf('246',plain,
( h2(e13) = e22
| h2(e13) = e20 ),
inference(simplify,[],['245','94']) ).
cnf('247',plain,
( e20 != h11(e10)
| h2(e13) = e22 ),
inference(paramodulation,[],['246','122']) ).
cnf('248',plain,
( e20 != h11(e10)
| e22 = op2(e22,e20) ),
inference(paramodulation,[],['247','94']) ).
cnf('249',plain,
( e20 != h11(e10)
| e22 = h2(e13) ),
inference(simplify,[],['248','94']) ).
cnf('250',plain,
e22 = h2(e13),
inference(paramodulation,[],['108','249']) ).
cnf('251',plain,
e21 = h1(e13),
inference(paramodulation,[],['72','91']) ).
cnf('252',plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('253',plain,
( h9(e10) = e20
| h9(e10) = e21
| h9(e10) = e22
| h9(e10) = e23 ),
inference(simplify,[then_simplify],['252','38','38','38','38']) ).
cnf('254',plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('255',plain,
h9(e10) != h6(e13),
inference(simplify,[then_simplify],['254','38','31']) ).
cnf('256',plain,
h9(e10) != e22,
inference(paramodulation,[],['32','255']) ).
cnf('257',plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('258',plain,
h9(e10) != h8(e13),
inference(simplify,[then_simplify],['257','38','5']) ).
cnf('259',plain,
h9(e10) != e23,
inference(paramodulation,[],['27','258']) ).
cnf('260',plain,
( h12(e10) = e21
| h9(e10) = e20 ),
inference(paramodulation,[then_simplify],['47','253','256','259']) ).
cnf('261',plain,
( h12(e10) = e21
| h12(e10) = e20 ),
inference(simplify,[],['260','47']) ).
cnf('262',plain,
( h12(e10) = e20
| e21 = h9(e10) ),
inference(paramodulation,[],['261','47']) ).
cnf('263',plain,
( h12(e10) = e20
| e21 = h12(e10) ),
inference(simplify,[],['262','47']) ).
cnf('264',plain,
( e21 = h12(e10)
| e20 = h9(e10) ),
inference(paramodulation,[],['263','47']) ).
cnf('265',plain,
( e21 = h12(e10)
| e20 = h12(e10) ),
inference(simplify,[],['264','47']) ).
cnf('266',plain,
e20 = h12(e10),
inference(paramodulation,[then_simplify],['72','265','98']) ).
cnf('267',plain,
( op2(e22,e22) = e20
| h11(e10) = e22 ),
inference(paramodulation,[],['114','118']) ).
cnf('268',plain,
( h11(e10) = e20
| h11(e10) = e22 ),
inference(simplify,[],['267','14']) ).
cnf('269',plain,
( e20 = op2(e22,e22)
| h11(e10) = e22 ),
inference(paramodulation,[],['268','14']) ).
cnf('270',plain,
( e20 = h11(e10)
| h11(e10) = e22 ),
inference(simplify,[],['269','14']) ).
cnf('271',plain,
( e22 = op2(e22,e22)
| e20 = h11(e10) ),
inference(paramodulation,[],['270','14']) ).
cnf('272',plain,
( e22 = h11(e10)
| e20 = h11(e10) ),
inference(simplify,[],['271','14']) ).
cnf('273',plain,
e20 = h11(e10),
inference(paramodulation,[then_simplify],['108','272','35']) ).
cnf('274',plain,
$false,
inference(paramodulation,[then_simplify],['126','230','238','242','250','251','266','273']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG105+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : gkc %s
% 0.16/0.33 % Computer : n015.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon Aug 28 06:19:10 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 input clause set summed statistics:
% 0.19/0.45 ----------------------------------
% 0.19/0.45 in_clause_count: 3600
% 0.19/0.45 in_rule_clause_count: 3600
% 0.19/0.45 in_fact_clause_count: 0
% 0.19/0.45 in_answer_clause_count: 0
% 0.19/0.45 in_ground_clause_count: 3600
% 0.19/0.45 in_unit_clause_count: 208
% 0.19/0.45 in_horn_clause_count: 2138
% 0.19/0.45 in_pos_clause_count: 474
% 0.19/0.45 in_neg_clause_count: 1152
% 0.19/0.45 in_poseq_clause_count: 1348
% 0.19/0.45 in_negeq_clause_count: 686
% 0.19/0.45 in_unitposeq_clause_count: 84
% 0.19/0.45 in_chain_clause_count: 0
% 0.19/0.45 in_min_length: 1
% 0.19/0.45 in_max_length: 18
% 0.19/0.45 in_min_depth: 1
% 0.19/0.45 in_max_depth: 3
% 0.19/0.45 in_min_size: 3
% 0.19/0.45 in_max_size: 166
% 0.19/0.45 in_min_vars: 0
% 0.19/0.45 in_max_vars: 0
% 0.19/0.45 in_extaxiom_count: 0
% 0.19/0.45 in_axiom_count: 540
% 0.19/0.45 in_assumption_count: 0
% 0.19/0.45 in_goal_count: 3060
% 0.19/0.45 in_neg_goal_count: 924
% 0.19/0.45 in_pos_goal_count: 252
% 0.19/0.45 in_posunit_goal_count: 0
% 0.19/0.45
% 0.19/0.45 auto guide:
% 0.19/0.45 -----------
% 0.19/0.45 {
% 0.19/0.45 "print":1,
% 0.19/0.45 "print_level": 15,
% 0.19/0.45 "max_size": 0,
% 0.19/0.45 "max_depth": 0,
% 0.19/0.45 "max_length": 0,
% 0.19/0.45 "max_dseconds": 0,
% 0.19/0.45 "runs":[
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.45 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.45 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.45 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.45 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.45 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.45 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.45 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.45 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.45 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.45 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.45 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.45 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.45 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.45
% 0.19/0.45 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.45 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.19/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.45 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
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% 3.36/0.92 fork 7: search terminated without proof.
% 3.36/0.93
% 3.36/0.93 fork 1: search finished without proof.
% 3.36/0.93
% 3.36/0.93 fork 3: search finished without proof.
% 3.86/0.94
% 3.86/0.94 **** run 32 fork 7 starts with strategy
% 3.86/0.94 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.86/0.94
% 3.86/0.94 **** run 25 fork 0 starts with strategy
% 3.86/0.94 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 3.86/0.94
% 3.86/0.94 **** run 26 fork 1 starts with strategy
% 3.86/0.94 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.86/0.95
% 3.86/0.95 **** run 28 fork 3 starts with strategy
% 3.86/0.95 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.86/0.95
% 3.86/0.95
% 3.86/0.95 fork 5: search terminated without proof.
% 3.86/0.95
% 3.86/0.95 fork 4: search finished without proof.
% 4.10/0.97
% 4.10/0.97 **** run 30 fork 5 starts with strategy
% 4.10/0.97 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 4.10/0.98
% 4.10/0.98 **** run 29 fork 4 starts with strategy
% 4.10/0.98 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 4.10/1.01
% 4.10/1.01
% 4.10/1.01 fork 2: search terminated without proof.
% 4.61/1.03
% 4.61/1.03 **** run 35 fork 2 starts with strategy
% 4.61/1.03 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 4.61/1.06
% 4.61/1.06
% 4.61/1.06 fork 6: search terminated without proof.
% 4.84/1.07
% 4.84/1.07 **** run 39 fork 6 starts with strategy
% 4.84/1.07 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 4.84/1.08
% 4.84/1.08 fork 3: search finished without proof.
% 4.84/1.08
% 4.84/1.08 fork 7: search finished without proof.
% 4.84/1.08
% 4.84/1.08
% 4.84/1.08 fork 1: search terminated without proof.
% 4.84/1.09
% 4.84/1.09
% 4.84/1.09 fork 0: search terminated without proof.
% 4.84/1.10
% 4.84/1.10 **** run 36 fork 3 starts with strategy
% 4.84/1.10 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 4.84/1.10
% 4.84/1.10 **** run 40 fork 7 starts with strategy
% 4.84/1.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 4.84/1.10
% 4.84/1.10 fork 5: search finished without proof.
% 4.84/1.10
% 4.84/1.10 **** run 34 fork 1 starts with strategy
% 4.84/1.10 {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 4.84/1.11
% 4.84/1.11 **** run 33 fork 0 starts with strategy
% 4.84/1.11 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 4.84/1.12
% 4.84/1.12 fork 4: search finished without proof.
% 4.84/1.12
% 4.84/1.12 **** run 38 fork 5 starts with strategy
% 4.84/1.12 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.40/1.14
% 5.40/1.14 **** run 37 fork 4 starts with strategy
% 5.40/1.14 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 5.40/1.16
% 5.40/1.16 fork 1: search finished without proof.
% 5.40/1.16
% 5.40/1.16 fork 2: search finished without proof.
% 5.71/1.18
% 5.71/1.18 **** run 43 fork 2 starts with strategy
% 5.71/1.18 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.71/1.18
% 5.71/1.18 **** run 42 fork 1 starts with strategy
% 5.71/1.18 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 5.71/1.20
% 5.71/1.20 fork 6: search finished without proof.
% 5.71/1.22
% 5.71/1.22 **** run 47 fork 6 starts with strategy
% 5.71/1.22 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.71/1.23
% 5.71/1.23 fork 3: search finished without proof.
% 5.71/1.23
% 5.71/1.23 fork 7: search finished without proof.
% 6.27/1.25
% 6.27/1.25 fork 0: search finished without proof.
% 6.27/1.25
% 6.27/1.25 **** run 48 fork 7 starts with strategy
% 6.27/1.25
% 6.27/1.25 **** run 44 fork 3 starts with strategy
% 6.27/1.25 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 6.27/1.25 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.27/1.26
% 6.27/1.26 fork 5: search finished without proof.
% 6.48/1.27
% 6.48/1.27 fork 4: search finished without proof.
% 6.48/1.27
% 6.48/1.27 **** run 41 fork 0 starts with strategy
% 6.48/1.27 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.48/1.28
% 6.48/1.28 **** run 46 fork 5 starts with strategy
% 6.48/1.28 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.48/1.28
% 6.48/1.28 **** run 45 fork 4 starts with strategy
% 6.48/1.28 {"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}
% 6.48/1.31
% 6.48/1.31 fork 2: search finished without proof.
% 6.48/1.33
% 6.48/1.33
% 6.48/1.33 fork 1: search terminated without proof.
% 6.48/1.33
% 6.48/1.33 **** run 51 fork 2 starts with strategy
% 6.48/1.33 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.48/1.35
% 6.48/1.35 **** run 50 fork 1 starts with strategy
% 6.48/1.35 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.48/1.36
% 6.48/1.36 fork 6: search finished without proof.
% 6.48/1.38
% 6.48/1.38 **** run 55 fork 6 starts with strategy
% 6.48/1.38 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.48/1.39
% 6.48/1.39 fork 7: search finished without proof.
% 6.48/1.39
% 6.48/1.39
% 6.48/1.39 fork 3: search terminated without proof.
% 6.48/1.41
% 6.48/1.41 **** run 56 fork 7 starts with strategy
% 6.48/1.41 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.48/1.41
% 6.48/1.41 **** run 52 fork 3 starts with strategy
% 6.48/1.41 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.48/1.42
% 6.48/1.42
% 6.48/1.42 fork 0: search terminated without proof.
% 6.48/1.42
% 6.48/1.42
% 6.48/1.42 fork 4: search terminated without proof.
% 6.48/1.44
% 6.48/1.44 **** run 49 fork 0 starts with strategy
% 6.48/1.44 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.48/1.44
% 6.48/1.44 **** run 53 fork 4 starts with strategy
% 6.48/1.44 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 7.05/1.47
% 7.05/1.47 fork 5: search finished without proof.
% 8.08/1.49
% 8.08/1.49 **** run 54 fork 5 starts with strategy
% 8.08/1.49 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 8.08/1.49
% 8.08/1.49 fork 1: search finished without proof.
% 8.08/1.51
% 8.08/1.51 **** run 58 fork 1 starts with strategy
% 8.08/1.51 {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 8.08/1.51
% 8.08/1.51 fork 6: search finished without proof.
% 8.08/1.52
% 8.08/1.52
% 8.08/1.52 fork 2: search terminated without proof.
% 8.08/1.53
% 8.08/1.53 **** run 63 fork 6 starts with strategy
% 8.08/1.54 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.08/1.54
% 8.08/1.54 fork 7: search finished without proof.
% 8.08/1.54
% 8.08/1.54
% 8.08/1.54 fork 3: search terminated without proof.
% 8.08/1.55
% 8.08/1.55 **** run 59 fork 2 starts with strategy
% 8.08/1.55 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 8.64/1.56
% 8.64/1.56 **** run 64 fork 7 starts with strategy
% 8.64/1.56 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.64/1.56
% 8.64/1.56 fork 1: search finished without proof.
% 8.77/1.57
% 8.77/1.57 **** run 60 fork 3 starts with strategy
% 8.77/1.57 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.77/1.58
% 8.77/1.58
% 8.77/1.58 fork 4: search terminated without proof.
% 8.77/1.58
% 8.77/1.58 fork 0: search finished without proof.
% 8.77/1.58
% 8.77/1.58 **** run 66 fork 1 starts with strategy
% 8.77/1.58 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 8.77/1.60
% 8.77/1.60 **** run 61 fork 4 starts with strategy
% 8.77/1.60 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.77/1.60
% 8.77/1.60 **** run 57 fork 0 starts with strategy
% 8.77/1.60 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 9.13/1.63
% 9.13/1.63 fork 5: search finished without proof.
% 9.39/1.65
% 9.39/1.65 **** run 62 fork 5 starts with strategy
% 9.39/1.65 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 10.07/1.74
% 10.07/1.74 fork 0: search finished without proof.
% 10.07/1.76
% 10.07/1.76 **** run 65 fork 0 starts with strategy
% 10.07/1.76 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 16.43/2.59
% 16.43/2.59 fork 3: search finished without proof.
% 16.43/2.60
% 16.43/2.60
% 16.43/2.60 fork 2: search terminated without proof.
% 16.43/2.61
% 16.43/2.61 **** run 68 fork 3 starts with strategy
% 16.43/2.61 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":3}
% 16.43/2.61
% 16.43/2.61
% 16.43/2.61 fork 7: search terminated without proof.
% 16.43/2.62
% 16.43/2.62 fork 1: search finished without proof.
% 16.43/2.62
% 16.43/2.62 **** run 67 fork 2 starts with strategy
% 16.43/2.62 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 16.43/2.63
% 16.43/2.63 **** run 72 fork 7 starts with strategy
% 16.43/2.63 {"max_dseconds":10,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 17.01/2.64
% 17.01/2.64 **** run 74 fork 1 starts with strategy
% 17.01/2.64 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 17.01/2.64
% 17.01/2.64
% 17.01/2.64 fork 4: search terminated without proof.
% 17.01/2.66
% 17.01/2.66 **** run 69 fork 4 starts with strategy
% 17.01/2.66 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 17.01/2.67 No candidate clauses found.
% 17.01/2.67
% 17.01/2.67
% 17.01/2.67 fork 3: search terminated without proof.
% 17.01/2.67
% 17.01/2.67 fork 7: search finished without proof.
% 17.01/2.69
% 17.01/2.69 **** run 80 fork 7 starts with strategy
% 17.01/2.69 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 17.01/2.70
% 17.01/2.70 **** run 76 fork 3 starts with strategy
% 17.01/2.70 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 17.01/2.70
% 17.01/2.70 fork 5: search finished without proof.
% 17.01/2.73
% 17.01/2.73 **** run 70 fork 5 starts with strategy
% 17.01/2.73 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 17.01/2.75
% 17.01/2.75 fork 0: search finished without proof.
% 17.01/2.77
% 17.01/2.77 **** run 73 fork 0 starts with strategy
% 17.01/2.77 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 18.49/2.86
% 18.49/2.86
% 18.49/2.86 result: proof found
% 18.49/2.86 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.49/2.86 by run 63 fork 6 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 18.49/2.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.49/2.86
% 18.49/2.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.49/2.87
% 18.49/2.87 run 63 fork 6 statistics:
% 18.49/2.87 ----------------------------------
% 18.49/2.87 this run seconds: 0.874246
% 18.49/2.87 total seconds: 1.920472
% 18.49/2.87 stat_given_used: 5640
% 18.49/2.87 stat_given_used_at_endgame: 0
% 18.49/2.87 stat_given_candidates: 17148
% 18.49/2.87 stat_given_candidates_at_endgame: 0
% 18.49/2.87 stat_given_candidates_h: 0
% 18.49/2.87 stat_binres_derived_cl: 1705
% 18.49/2.87 stat_binres_derived_cl_h: 0
% 18.49/2.87 stat_factor_derived_cl: 56
% 18.49/2.87 stat_para_derived_cl: 26705
% 18.49/2.87 stat_tautologies_discarded: 179
% 18.49/2.87 stat_forward_subsumed: 9123
% 18.49/2.87 stat_derived_cut: 4911
% 18.49/2.87 stat_derived_rewritten: 5276
% 18.49/2.87 stat_weight_discarded_building: 0
% 18.49/2.87 stat_weight_discarded_cl: 4455
% 18.49/2.87 stat_internlimit_discarded_cl: 0
% 18.49/2.87 stat_simplified: 5786 simplified 0 derived 0 given
% 18.49/2.87 stat_kept_cl: 12935
% 18.49/2.87 stat_built_cl: 34456
% 18.49/2.87 stat_hyperres_partial_cl: 0
% 18.49/2.87 stat_made_rewriters: 130
% 18.49/2.87 stat_backward_subsumed: 0
% 18.49/2.87 stat_propagated_subsumed: 0
% 18.49/2.87 stat_clsubs_attempted: 49193
% 18.49/2.87 stat_clsubs_fact_groundunit_found: 19
% 18.49/2.87 stat_clsubs_rule_groundunit_found: 1445
% 18.49/2.87 stat_clsubs_top_meta_attempted: 32644986
% 18.49/2.87 stat_clsubs_top_meta_failed: 32595793
% 18.49/2.87 stat_clsubs_top_meta_nonpref_attempted: 32644986
% 18.49/2.87 stat_clsubs_top_meta_nonpref_succeeded: 9654922
% 18.49/2.87 stat_clsubs_top_meta_pref_attempted: 9654922
% 18.49/2.87 stat_clsubs_top_meta_pref1_succeeded: 4365763
% 18.49/2.87 stat_clsubs_top_meta_pref2_succeeded: 115271
% 18.49/2.87 stat_clsubs_top_meta_pref3_succeeded: 49193
% 18.49/2.87 stat_clsubs_top_meta_pref_succeeded: 49193
% 18.49/2.87 stat_clsubs_meta_attempted: 148894
% 18.49/2.87 stat_clsubs_meta_failed: 121238
% 18.49/2.87 stat_clsubs_predsymbs_attempted: 0
% 18.49/2.87 stat_clsubs_unit_attempted: 0
% 18.49/2.87 stat_clsubs_full_attempted: 49193
% 18.49/2.87 stat_forwardsubs_attempted: 26514
% 18.49/2.87 stat_lit_hash_added: 18726
% 18.49/2.87 stat_lit_hash_computed: 240275
% 18.49/2.87 stat_lit_hash_match_found: 21209
% 18.49/2.87 stat_lit_hash_match_miss: 306707
% 18.49/2.87 stat_lit_hash_cut_ok: 7897
% 18.49/2.87 stat_lit_strong_cut_ok: 0
% 18.49/2.87 stat_lit_hash_subsume_ok: 9123
% 18.49/2.87 clqueue els 10000000 used 1
% 18.49/2.87 clactive els 10000000 used 5641
% 18.49/2.87 clactivesubsume els 10000000 used 30379
% 18.49/2.87 queue_termbuf els 200000000 used 1774547
% 18.49/2.87 hyper_termbuf els 100000000 used 1
% 18.49/2.87 active_termbuf els 100000000 used 233324
% 18.49/2.87 varstack els 5000 last used 1
% 18.49/2.87 given_termbuf els 10000000 last used 1
% 18.49/2.87 simplified_termbuf els 10000000 last used 1
% 18.49/2.87 derived_termbuf els 10000000 last used 118
% 18.49/2.87 wr_mallocs: 81286
% 18.49/2.87 wr_callocs: 21
% 18.49/2.87 wr_reallocs: 3010
% 18.49/2.87 wr_frees: 4
% 18.49/2.87 wr_malloc_bytes: 4165247300
% 18.49/2.87 wr_calloc_bytes: 112065536
% 18.49/2.87 wr_realloc_bytes: 1281320
% 18.49/2.87 wr_realloc_freebytes: 0
% 18.49/2.87 ----------------------------------
%------------------------------------------------------------------------------