TSTP Solution File: ALG111+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:27:52 EDT 2023
% Result : Theorem 13.07s 2.19s
% Output : CNFRefutation 13.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
( ( ( 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 ) ) ),
input ).
fof('ax17_$sk',plain,
( h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e13) = e23 ),
inference(negpush_and_skolemize,[],[ax17]) ).
fof(ax17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
input ).
fof('ax13_$sk',plain,
( e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,e23)) ),
inference(negpush_and_skolemize,[],[ax13]) ).
fof(ax13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)) ),
input ).
fof('ax14_$sk',plain,
( h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e13) = e20 ),
inference(negpush_and_skolemize,[],[ax14]) ).
fof(ax14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)) ),
input ).
fof('ax12_$sk',plain,
( e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
inference(negpush_and_skolemize,[],[ax12]) ).
fof(ax12,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)) ),
input ).
fof('ax15_$sk',plain,
( h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e13) = e21 ),
inference(negpush_and_skolemize,[],[ax15]) ).
fof(ax15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)) ),
input ).
fof('ax16_$sk',plain,
( h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e13) = e22 ),
inference(negpush_and_skolemize,[],[ax16]) ).
fof(ax16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
input ).
fof('ax1_$sk',plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
inference(negpush_and_skolemize,[],[ax1]) ).
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
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,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e12) != e13
| op1(e13,e13) != e13 )
& ( op1(e11,e11) != e13
| op1(e13,e13) != e13 )
& ( op1(e10,e10) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e12,e12) != e12
| op1(e13,e12) != e13 )
& ( op1(e11,e11) != e12
| op1(e13,e12) != e13 )
& ( op1(e10,e10) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e12,e12) != e11
| op1(e13,e11) != e13 )
& ( op1(e11,e11) != e11
| op1(e13,e11) != e13 )
& ( op1(e10,e10) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& ( op1(e12,e12) != e10
| op1(e13,e10) != e13 )
& ( op1(e11,e11) != e10
| op1(e13,e10) != e13 )
& ( op1(e10,e10) != e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e11,e11) != e13
| op1(e12,e13) != e12 )
& ( op1(e10,e10) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e11) != e12
| op1(e12,e12) != e12 )
& ( op1(e10,e10) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e11,e11) != e11
| op1(e12,e11) != e12 )
& ( op1(e10,e10) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e10
| op1(e12,e10) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e11,e11) != e10
| op1(e12,e10) != e12 )
& ( op1(e10,e10) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e10,e10) != e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e10,e10) != e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e11,e10) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e10,e10) != e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) != e13
| op1(e10,e13) != e10 )
& ( op1(e12,e12) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) != e12
| op1(e10,e12) != e10 )
& ( op1(e12,e12) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) != e11
| op1(e10,e11) != e10 )
& ( op1(e12,e12) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) != e10
| op1(e10,e10) != e10 )
& ( op1(e12,e12) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
inference(negpush_and_skolemize,[],[ax10]) ).
fof(ax10,axiom,
( ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e12,e12) != e10 )
& ( op1(e10,e10) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e11) != e10
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e12,e12) != e11 )
& ( op1(e10,e11) != e10
| op1(e13,e13) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e12) != e10
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e12,e12) != e12 )
& ( op1(e10,e12) != e10
| op1(e13,e13) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& ( op1(e10,e13) != e10
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e12,e12) != e13 )
& ( op1(e10,e13) != e10
| op1(e13,e13) != e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) != e11
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e13,e13) != e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e11
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e13,e13) != e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) != e11
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e13,e13) != e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e11,e13) != e11
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e13,e13) != e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) != e10 )
& ( op1(e12,e10) != e12
| op1(e11,e11) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) != e12
| op1(e13,e13) != e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) != e11 )
& ( op1(e12,e11) != e12
| op1(e11,e11) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) != e12
| op1(e13,e13) != e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) != e12 )
& ( op1(e12,e12) != e12
| op1(e11,e11) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e12
| op1(e13,e13) != e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) != e13 )
& ( op1(e12,e13) != e12
| op1(e11,e11) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e12,e13) != e12
| op1(e13,e13) != e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) != e10 )
& ( op1(e13,e10) != e13
| op1(e11,e11) != e10 )
& ( op1(e13,e10) != e13
| op1(e12,e12) != e10 )
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) != e11 )
& ( op1(e13,e11) != e13
| op1(e11,e11) != e11 )
& ( op1(e13,e11) != e13
| op1(e12,e12) != e11 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) != e12 )
& ( op1(e13,e12) != e13
| op1(e11,e11) != e12 )
& ( op1(e13,e12) != e13
| op1(e12,e12) != e12 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) != e13 )
& ( op1(e13,e13) != e13
| op1(e11,e11) != e13 )
& ( op1(e13,e13) != e13
| op1(e12,e12) != e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != 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('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('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('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('ax11_$sk',plain,
( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e22) != e23
| op2(e23,e23) != e23 )
& ( op2(e21,e21) != e23
| op2(e23,e23) != e23 )
& ( op2(e20,e20) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e22,e22) != e22
| op2(e23,e22) != e23 )
& ( op2(e21,e21) != e22
| op2(e23,e22) != e23 )
& ( op2(e20,e20) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e22,e22) != e21
| op2(e23,e21) != e23 )
& ( op2(e21,e21) != e21
| op2(e23,e21) != e23 )
& ( op2(e20,e20) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& ( op2(e22,e22) != e20
| op2(e23,e20) != e23 )
& ( op2(e21,e21) != e20
| op2(e23,e20) != e23 )
& ( op2(e20,e20) != e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e21,e21) != e23
| op2(e22,e23) != e22 )
& ( op2(e20,e20) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e21) != e22
| op2(e22,e22) != e22 )
& ( op2(e20,e20) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e21,e21) != e21
| op2(e22,e21) != e22 )
& ( op2(e20,e20) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e20
| op2(e22,e20) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e21,e21) != e20
| op2(e22,e20) != e22 )
& ( op2(e20,e20) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e20,e20) != e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e20,e20) != e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e21,e20) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e20,e20) != e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) != e23
| op2(e20,e23) != e20 )
& ( op2(e22,e22) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) != e22
| op2(e20,e22) != e20 )
& ( op2(e22,e22) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) != e21
| op2(e20,e21) != e20 )
& ( op2(e22,e22) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) != e20
| op2(e20,e20) != e20 )
& ( op2(e22,e22) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
inference(negpush_and_skolemize,[],[ax11]) ).
fof(ax11,axiom,
( ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e22,e22) != e20 )
& ( op2(e20,e20) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e21) != e20
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e22,e22) != e21 )
& ( op2(e20,e21) != e20
| op2(e23,e23) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e22) != e20
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e22,e22) != e22 )
& ( op2(e20,e22) != e20
| op2(e23,e23) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& ( op2(e20,e23) != e20
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e22,e22) != e23 )
& ( op2(e20,e23) != e20
| op2(e23,e23) != e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) != e21
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e23,e23) != e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e21
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e23,e23) != e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) != e21
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e23,e23) != e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e21,e23) != e21
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e23,e23) != e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) != e20 )
& ( op2(e22,e20) != e22
| op2(e21,e21) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) != e22
| op2(e23,e23) != e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) != e21 )
& ( op2(e22,e21) != e22
| op2(e21,e21) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) != e22
| op2(e23,e23) != e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) != e22 )
& ( op2(e22,e22) != e22
| op2(e21,e21) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e22
| op2(e23,e23) != e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) != e23 )
& ( op2(e22,e23) != e22
| op2(e21,e21) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e22,e23) != e22
| op2(e23,e23) != e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) != e20 )
& ( op2(e23,e20) != e23
| op2(e21,e21) != e20 )
& ( op2(e23,e20) != e23
| op2(e22,e22) != e20 )
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) != e21 )
& ( op2(e23,e21) != e23
| op2(e21,e21) != e21 )
& ( op2(e23,e21) != e23
| op2(e22,e22) != e21 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) != e22 )
& ( op2(e23,e22) != e23
| op2(e21,e21) != e22 )
& ( op2(e23,e22) != e23
| op2(e22,e22) != e22 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) != e23 )
& ( op2(e23,e23) != e23
| op2(e21,e21) != e23 )
& ( op2(e23,e23) != e23
| op2(e22,e22) != e23 )
& ( op2(e23,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('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 ).
cnf('1',plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(e10) != e20
| ~ $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('3',plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],['ax13_$sk']) ).
cnf('4',plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],['ax13_$sk']) ).
cnf('5',plain,
e20 = op2(e23,e21),
inference(simplify,[],['4','3']) ).
cnf('6',plain,
h4(e10) = e20,
inference(simplify,[then_simplify],['2','3','5']) ).
cnf('7',plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[],['ax14_$sk']) ).
cnf('8',plain,
e12 = op1(op1(e13,op1(e13,e13)),op1(e13,e13)),
inference(cnf_transformation,[],['ax12_$sk']) ).
cnf('9',plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],['ax12_$sk']) ).
cnf('10',plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],['ax12_$sk']) ).
cnf('11',plain,
e10 = op1(e13,e11),
inference(simplify,[],['10','9']) ).
cnf('12',plain,
e12 = op1(e10,e11),
inference(simplify,[then_simplify],['8','9','11','9']) ).
cnf('13',plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('14',plain,
e22 = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[],['ax13_$sk']) ).
cnf('15',plain,
e22 = op2(e20,e21),
inference(simplify,[then_simplify],['14','3','5','3']) ).
cnf('16',plain,
h4(e12) = e22,
inference(simplify,[then_simplify],['13','3','5','3','15']) ).
cnf('17',plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('18',plain,
h4(e11) = e21,
inference(simplify,[],['17','3']) ).
cnf('19',plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('20',plain,
h4(e13) = e23,
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('21',plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[],['ax16_$sk']) ).
cnf('22',plain,
( h4(op1(e10,e10)) != h1(e11)
| h4(op1(e11,e10)) != op2(e21,e20)
| h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e12)) != h3(e11)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e12)) != op2(e23,e22)
| ~ $pr($df2) ),
inference(simplify,[then_simplify],['1','6','6','7','12','16','6','18','15','18','6','6','16','18','18','19','16','6','6','20','18','16','16','18','20','6','18','20','16','16','21','11','6','20','18','5','16','20','20','16','9','18','20','20','3','6']) ).
cnf('23',plain,
( ~ $pr($df3)
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('24',plain,
( ~ $pr($df3)
| h4(op1(e11,e10)) = op2(e21,e20) ),
inference(simplify,[then_simplify],['23','18','6']) ).
cnf('25',plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e12,e12)) != h3(e11)
| ~ $pr($df2)
| ~ $pr($df3) ),
inference(resolution,[],['22','24']) ).
cnf('26',plain,
( h4(e12) != e22
| ~ $pr($df38)
| $pr($df1)
| $pr($df2) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('27',plain,
( ~ $pr($df38)
| $pr($df1)
| $pr($df2) ),
inference(simplify,[],['26','16']) ).
cnf('28',plain,
( $pr($df38)
| $pr($df37) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('29',plain,
( $pr($df37)
| $pr($df1)
| $pr($df2) ),
inference(resolution,[],['27','28']) ).
cnf('30',plain,
( h4(e13) != e23
| ~ $pr($df37) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('31',plain,
~ $pr($df37),
inference(simplify,[],['30','20']) ).
cnf('32',plain,
( $pr($df1)
| $pr($df2) ),
inference(resolution,[],['29','31']) ).
cnf('33',plain,
( h4(e11) != e21
| ~ $pr($df1) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('34',plain,
~ $pr($df1),
inference(simplify,[],['33','18']) ).
cnf('35',plain,
$pr($df2),
inference(resolution,[],['32','34']) ).
cnf('36',plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('37',plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('38',plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('39',plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('40',plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('41',plain,
op1(e12,e12) != e12,
inference(factorization,[],['40']) ).
cnf('42',plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(simplify,[],['39','41']) ).
cnf('43',plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('44',plain,
e12 != op1(e10,e12),
inference(simplify,[],['43','12']) ).
cnf('45',plain,
( op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference(paramodulation,[],['42','44']) ).
cnf('46',plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('47',plain,
e12 != e13,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('48',plain,
e10 != e13,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('49',plain,
( op1(e11,e11) = e13
| op1(e12,e11) = e13 ),
inference(simplify,[then_simplify],['46','47','48','12','11']) ).
cnf('50',plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('51',plain,
( e13 != op1(e11,e12)
| op1(e12,e11) = e13 ),
inference(paramodulation,[],['49','50']) ).
cnf('52',plain,
( e13 != e12
| op1(e12,e11) = e13
| op1(e13,e12) = e12 ),
inference(paramodulation,[],['45','51']) ).
cnf('53',plain,
( op1(e12,e11) != e12
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('54',plain,
op1(e12,e11) != e12,
inference(simplify,[],['53','9']) ).
cnf('55',plain,
( e13 != e12
| op1(e13,e12) = e12 ),
inference(paramodulation,[],['52','54']) ).
cnf('56',plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('57',plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('58',plain,
( op1(e10,e10) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(simplify,[then_simplify],['57','47','12']) ).
cnf('59',plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('60',plain,
op1(e10,e10) != e12,
inference(simplify,[],['59','12']) ).
cnf('61',plain,
( e13 != e12
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(paramodulation,[],['58','60']) ).
cnf('62',plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('63',plain,
( e13 != op1(e13,e12)
| e13 != e12
| op1(e10,e13) = e13 ),
inference(paramodulation,[],['61','62']) ).
cnf('64',plain,
( e13 != e12
| op1(e10,e13) = e13 ),
inference(paramodulation,[],['55','63']) ).
cnf('65',plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('66',plain,
( op1(e10,e12) != e13
| e13 != e12 ),
inference(paramodulation,[],['64','65']) ).
cnf('67',plain,
( e13 != e12
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(resolution,[],['56','66']) ).
cnf('68',plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('69',plain,
( op1(e11,e12) != e12
| e13 != e12 ),
inference(paramodulation,[],['55','68']) ).
cnf('70',plain,
( e13 != e12
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(paramodulation,[],['67','69']) ).
cnf('71',plain,
op1(e12,e12) != e12,
inference(factorization,[],['40']) ).
cnf('72',plain,
( e13 != e12
| op1(e13,e12) = e13 ),
inference(paramodulation,[],['70','71']) ).
cnf('73',plain,
e13 != e12,
inference(paramodulation,[then_simplify],['55','72','47']) ).
cnf('74',plain,
e10 != e12,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('75',plain,
e11 != e12,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('76',plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('77',plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('78',plain,
op1(e13,e10) != e10,
inference(simplify,[],['77','11']) ).
cnf('79',plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolution,[],['76','78']) ).
cnf('80',plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('81',plain,
op1(e13,e10) != e11,
inference(simplify,[],['80','9']) ).
cnf('82',plain,
( op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(resolution,[],['79','81']) ).
cnf('83',plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('84',plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e13) = e12 ),
inference(simplify,[],['83','41']) ).
cnf('85',plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('86',plain,
( e12 != op1(e13,e10)
| op1(e12,e11) = e12
| op1(e12,e13) = e12 ),
inference(paramodulation,[],['84','85']) ).
cnf('87',plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('88',plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('89',plain,
op1(e11,e11) != e11,
inference(factorization,[],['88']) ).
cnf('90',plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(simplify,[],['87','89']) ).
cnf('91',plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('92',plain,
op1(e11,e11) != e10,
inference(simplify,[],['91','11']) ).
cnf('93',plain,
( op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(resolution,[],['90','92']) ).
cnf('94',plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('95',plain,
e12 != op1(e11,e11),
inference(simplify,[],['94','12']) ).
cnf('96',plain,
op1(e11,e11) = e13,
inference(paramodulation,[],['93','95']) ).
cnf('97',plain,
( op1(e11,e11) != e13
| op1(e12,e13) != e12 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('98',plain,
op1(e12,e13) != e12,
inference(resolution,[],['96','97']) ).
cnf('99',plain,
( op1(e12,e11) = e12
| op1(e13,e10) = e13 ),
inference(paramodulation,[then_simplify],['82','86','98']) ).
cnf('100',plain,
op1(e13,e10) = e13,
inference(resolution,[],['99','54']) ).
cnf('101',plain,
op1(e13,e12) = e12,
inference(simplify,[then_simplify],['38','73','74','75','100','11','9']) ).
cnf('102',plain,
op1(e10,e12) != e12,
inference(paramodulation,[],['101','62']) ).
cnf('103',plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('104',plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(simplify,[],['103','41']) ).
cnf('105',plain,
( op1(e12,e10) != e12
| op1(e12,e12) != e10 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('106',plain,
( op1(e12,e12) != e10
| op1(e12,e11) = e12
| op1(e12,e13) = e12 ),
inference(resolution,[],['84','105']) ).
cnf('107',plain,
( op1(e12,e11) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolution,[then_simplify],['104','106','98']) ).
cnf('108',plain,
( op1(e12,e12) = e11
| op1(e12,e12) = e13 ),
inference(resolution,[],['107','54']) ).
cnf('109',plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('110',plain,
e10 != e11,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('111',plain,
( e12 = e11
| op1(e12,e11) = e11 ),
inference(simplify,[then_simplify],['109','89','110','12','11']) ).
cnf('112',plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('113',plain,
( e11 != op1(e12,e12)
| e12 = e11 ),
inference(paramodulation,[],['111','112']) ).
cnf('114',plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('115',plain,
( e12 != e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(paramodulation,[],['114','44']) ).
cnf('116',plain,
( e12 != e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(paramodulation,[then_simplify],['115','45','75']) ).
cnf('117',plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('118',plain,
( e12 != op1(e12,e12)
| op1(e13,e12) = e12 ),
inference(paramodulation,[],['45','117']) ).
cnf('119',plain,
( e12 != e11
| op1(e13,e12) = e11
| op1(e13,e12) = e12 ),
inference(paramodulation,[],['116','118']) ).
cnf('120',plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('121',plain,
op1(e13,e12) != e11,
inference(simplify,[],['120','9']) ).
cnf('122',plain,
( e12 != e11
| op1(e13,e12) = e12 ),
inference(resolution,[],['119','121']) ).
cnf('123',plain,
e12 != e11,
inference(paramodulation,[],['122','121']) ).
cnf('124',plain,
op1(e12,e12) = e13,
inference(paramodulation,[then_simplify],['108','113','123']) ).
cnf('125',plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('126',plain,
op1(e10,e12) != e13,
inference(paramodulation,[],['124','125']) ).
cnf('127',plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11 ),
inference(simplify,[then_simplify],['36','102','126']) ).
cnf('128',plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('129',plain,
( e10 != op1(e11,e12)
| op1(e10,e12) = e11 ),
inference(paramodulation,[],['127','128']) ).
cnf('130',plain,
op1(e11,e12) != e12,
inference(paramodulation,[],['101','68']) ).
cnf('131',plain,
op1(e11,e12) != e13,
inference(paramodulation,[],['124','117']) ).
cnf('132',plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference(paramodulation,[then_simplify],['37','129','130','131']) ).
cnf('133',plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('134',plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('135',plain,
op1(e10,e10) != e10,
inference(factorization,[],['134']) ).
cnf('136',plain,
( e12 = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(simplify,[then_simplify],['133','135','12']) ).
cnf('137',plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('138',plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('139',plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('140',plain,
( e13 != op1(e13,e10)
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(paramodulation,[],['58','139']) ).
cnf('141',plain,
op1(e10,e13) = e13,
inference(paramodulation,[then_simplify],['100','140','126']) ).
cnf('142',plain,
op1(e11,e13) = e12,
inference(simplify,[then_simplify],['138','73','98','75','141','9']) ).
cnf('143',plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('144',plain,
( op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(resolution,[],['143','60']) ).
cnf('145',plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('146',plain,
( e12 != op1(e11,e13)
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(paramodulation,[],['144','145']) ).
cnf('147',plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('148',plain,
op1(e13,e10) != e12,
inference(paramodulation,[],['101','147']) ).
cnf('149',plain,
op1(e12,e10) = e12,
inference(paramodulation,[then_simplify],['142','146','148']) ).
cnf('150',plain,
op1(e12,e12) != e10,
inference(resolution,[],['149','105']) ).
cnf('151',plain,
( op1(e12,e11) = e10
| op1(e12,e13) = e10 ),
inference(paramodulation,[then_simplify],['137','149','150','74']) ).
cnf('152',plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('153',plain,
op1(e12,e11) != e10,
inference(simplify,[],['152','11']) ).
cnf('154',plain,
op1(e12,e13) = e10,
inference(resolution,[],['151','153']) ).
cnf('155',plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('156',plain,
e12 != op1(e12,e13),
inference(paramodulation,[],['142','155']) ).
cnf('157',plain,
e12 != e10,
inference(paramodulation,[],['154','156']) ).
cnf('158',plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('159',plain,
( op1(e11,e10) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(simplify,[],['158','89']) ).
cnf('160',plain,
( op1(e11,e10) != e11
| op1(e13,e13) != e10 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('161',plain,
( op1(e11,e10) != e11
| e11 != e10 ),
inference(simplify,[],['160','9']) ).
cnf('162',plain,
( e11 != e10
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(resolution,[],['159','161']) ).
cnf('163',plain,
( e11 != e10
| e12 != e11
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(paramodulation,[],['144','161']) ).
cnf('164',plain,
( op1(e12,e10) != e12
| op1(e13,e13) != e10 ),
inference(cnf_transformation,[],['ax10_$sk']) ).
cnf('165',plain,
( op1(e12,e10) != e12
| e11 != e10 ),
inference(simplify,[],['164','9']) ).
cnf('166',plain,
( e11 != e10
| e12 != e11
| op1(e13,e10) = e12 ),
inference(resolution,[],['163','165']) ).
cnf('167',plain,
( e11 != e10
| e12 = e11 ),
inference(paramodulation,[],['111','153']) ).
cnf('168',plain,
( e11 != e10
| op1(e13,e10) = e12 ),
inference(simplify,[],['166','167']) ).
cnf('169',plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('170',plain,
( op1(e11,e10) != e12
| e11 != e10 ),
inference(paramodulation,[],['168','169']) ).
cnf('171',plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('172',plain,
( e11 != e10
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(resolution,[],['170','171']) ).
cnf('173',plain,
( e11 != e10
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(paramodulation,[],['172','95']) ).
cnf('174',plain,
( e11 != e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12 ),
inference(paramodulation,[then_simplify],['162','173','75']) ).
cnf('175',plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('176',plain,
op1(e11,e13) != e11,
inference(simplify,[],['175','9']) ).
cnf('177',plain,
( e11 != e10
| op1(e11,e13) = e12 ),
inference(resolution,[],['174','176']) ).
cnf('178',plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('179',plain,
( op1(e11,e12) != e12
| e11 != e10 ),
inference(paramodulation,[],['177','178']) ).
cnf('180',plain,
( e11 != e10
| op1(e13,e12) = e12 ),
inference(resolution,[],['45','179']) ).
cnf('181',plain,
( e12 != op1(e13,e12)
| e11 != e10 ),
inference(paramodulation,[],['168','147']) ).
cnf('182',plain,
e11 != e10,
inference(paramodulation,[],['180','181']) ).
cnf('183',plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('184',plain,
op1(e10,e13) != e10,
inference(paramodulation,[],['154','183']) ).
cnf('185',plain,
op1(e11,e12) = e11,
inference(paramodulation,[then_simplify],['132','136','157','182','184']) ).
cnf('186',plain,
op1(e10,e12) != e11,
inference(paramodulation,[],['185','128']) ).
cnf('187',plain,
op1(e10,e12) = e10,
inference(simplify,[then_simplify],['36','186','102','126']) ).
cnf('188',plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('189',plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('190',plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('191',plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| h3(e11) = e21
| op2(e23,e22) = e21 ),
inference(simplify,[],['190','21']) ).
cnf('192',plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('193',plain,
e22 != op2(e20,e22),
inference(simplify,[],['192','15']) ).
cnf('194',plain,
( e22 != e21
| op2(e21,e22) = e21
| op2(e23,e22) = e21
| h3(e11) = e21 ),
inference(paramodulation,[],['191','193']) ).
cnf('195',plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('196',plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('197',plain,
( h3(e11) != e22
| h3(e11) != e22 ),
inference(simplify,[then_simplify],['196','21','21']) ).
cnf('198',plain,
h3(e11) != e22,
inference(factorization,[],['197']) ).
cnf('199',plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(simplify,[then_simplify],['195','198','21']) ).
cnf('200',plain,
( op2(e21,e22) = e22
| op2(e23,e22) = e22 ),
inference(paramodulation,[],['199','193']) ).
cnf('201',plain,
e21 != e22,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('202',plain,
( e22 != e21
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| h3(e11) = e21 ),
inference(paramodulation,[then_simplify],['194','200','201']) ).
cnf('203',plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('204',plain,
op2(e23,e22) != e21,
inference(simplify,[],['203','3']) ).
cnf('205',plain,
( e22 != e21
| op2(e23,e22) = e22
| h3(e11) = e21 ),
inference(resolution,[],['202','204']) ).
cnf('206',plain,
( e22 != e21
| h3(e11) = e21 ),
inference(paramodulation,[],['205','204']) ).
cnf('207',plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('208',plain,
op2(e21,e22) != h3(e11),
inference(simplify,[],['207','21']) ).
cnf('209',plain,
( e22 != h3(e11)
| op2(e23,e22) = e22 ),
inference(paramodulation,[],['200','208']) ).
cnf('210',plain,
( e22 != h3(e11)
| e22 != e21 ),
inference(paramodulation,[],['209','204']) ).
cnf('211',plain,
e22 != e21,
inference(paramodulation,[],['206','210']) ).
cnf('212',plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('213',plain,
( h2(e11) != e21
| h2(e11) != e21 ),
inference(simplify,[then_simplify],['212','19','19']) ).
cnf('214',plain,
h2(e11) != e21,
inference(factorization,[],['213']) ).
cnf('215',plain,
e20 != e21,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('216',plain,
op2(e22,e21) = e21,
inference(simplify,[then_simplify],['189','211','214','215','15','19','5']) ).
cnf('217',plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('218',plain,
op2(e22,e21) != e20,
inference(simplify,[],['217','5']) ).
cnf('219',plain,
e21 != e20,
inference(paramodulation,[],['216','218']) ).
cnf('220',plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('221',plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('222',plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e23 ),
inference(simplify,[then_simplify],['221','198','21','21','21','21']) ).
cnf('223',plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('224',plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(simplify,[then_simplify],['223','198','21']) ).
cnf('225',plain,
( op2(e22,e20) != e22
| op2(e22,e22) != e20 ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('226',plain,
( op2(e22,e20) != e22
| h3(e11) != e20 ),
inference(simplify,[],['225','21']) ).
cnf('227',plain,
( h3(e11) != e20
| op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference(resolution,[],['224','226']) ).
cnf('228',plain,
( op2(e22,e21) != e22
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('229',plain,
op2(e22,e21) != e22,
inference(simplify,[],['228','3']) ).
cnf('230',plain,
( h3(e11) != e20
| op2(e22,e23) = e22 ),
inference(resolution,[],['227','229']) ).
cnf('231',plain,
( op2(e21,e21) != e23
| op2(e22,e23) != e22 ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('232',plain,
( h2(e11) != e23
| op2(e22,e23) != e22 ),
inference(simplify,[],['231','19']) ).
cnf('233',plain,
( h3(e11) != e20
| h2(e11) != e23 ),
inference(resolution,[],['230','232']) ).
cnf('234',plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('235',plain,
e22 != e23,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('236',plain,
e20 != e23,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('237',plain,
( h2(e11) = e23
| op2(e22,e21) = e23 ),
inference(simplify,[then_simplify],['234','235','236','15','19','5']) ).
cnf('238',plain,
e21 != e23,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('239',plain,
h2(e11) = e23,
inference(paramodulation,[then_simplify],['216','237','238']) ).
cnf('240',plain,
( h3(e11) = e21
| h3(e11) = e23 ),
inference(resolution,[then_simplify],['222','233','239']) ).
cnf('241',plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('242',plain,
op2(e22,e21) != h3(e11),
inference(simplify,[],['241','21']) ).
cnf('243',plain,
e21 != h3(e11),
inference(paramodulation,[],['216','242']) ).
cnf('244',plain,
h3(e11) = e23,
inference(paramodulation,[],['240','243']) ).
cnf('245',plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],['ax16_$sk']) ).
cnf('246',plain,
h3(e10) = op2(e22,h3(e11)),
inference(simplify,[],['245','21']) ).
cnf('247',plain,
h3(e10) = op2(e22,e23),
inference(paramodulation,[],['244','246']) ).
cnf('248',plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('249',plain,
op2(e22,e23) != e21,
inference(simplify,[],['248','3']) ).
cnf('250',plain,
h3(e10) != e21,
inference(paramodulation,[],['247','249']) ).
cnf('251',plain,
h3(e10) != e22,
inference(paramodulation,[then_simplify],['247','232','239']) ).
cnf('252',plain,
( h3(e10) = e20
| h3(e10) = e23 ),
inference(simplify,[then_simplify],['220','250','251','247','247','247','247']) ).
cnf('253',plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('254',plain,
h2(e11) = e23,
inference(paramodulation,[then_simplify],['216','237','238']) ).
cnf('255',plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('256',plain,
h2(e10) = op2(e21,h2(e11)),
inference(simplify,[],['255','19']) ).
cnf('257',plain,
h2(e10) = op2(e21,e23),
inference(paramodulation,[],['254','256']) ).
cnf('258',plain,
( op2(e20,e23) = e22
| h2(e10) = e22 ),
inference(simplify,[then_simplify],['253','251','201','257','247','3']) ).
cnf('259',plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('260',plain,
e22 != op2(e20,e23),
inference(simplify,[],['259','15']) ).
cnf('261',plain,
h2(e10) = e22,
inference(paramodulation,[],['258','260']) ).
cnf('262',plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('263',plain,
h2(e12) = op2(h2(e10),h2(e11)),
inference(simplify,[then_simplify],['262','19','256','19']) ).
cnf('264',plain,
h2(e12) = op2(h2(e10),e23),
inference(paramodulation,[],['254','263']) ).
cnf('265',plain,
h2(e12) = op2(e22,e23),
inference(paramodulation,[],['261','264']) ).
cnf('266',plain,
h2(e12) = h3(e10),
inference(simplify,[],['265','247']) ).
cnf('267',plain,
( h3(e10) = e23
| h2(e12) = e20 ),
inference(paramodulation,[],['252','266']) ).
cnf('268',plain,
( h3(e10) = e23
| h3(e10) = e20 ),
inference(simplify,[],['267','266']) ).
cnf('269',plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('270',plain,
h3(e11) != op2(e22,e23),
inference(simplify,[],['269','21']) ).
cnf('271',plain,
e23 != op2(e22,e23),
inference(paramodulation,[],['244','270']) ).
cnf('272',plain,
e23 != h3(e10),
inference(simplify,[],['271','247']) ).
cnf('273',plain,
h3(e10) = e20,
inference(paramodulation,[],['268','272']) ).
cnf('274',plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('275',plain,
h2(e10) != op2(e22,e23),
inference(paramodulation,[],['257','274']) ).
cnf('276',plain,
h2(e10) != h3(e10),
inference(paramodulation,[],['247','275']) ).
cnf('277',plain,
e22 != h3(e10),
inference(paramodulation,[],['261','276']) ).
cnf('278',plain,
e22 != e20,
inference(paramodulation,[],['273','277']) ).
cnf('279',plain,
( e23 != e20
| h2(e11) = e23 ),
inference(paramodulation,[],['237','218']) ).
cnf('280',plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('281',plain,
h2(e11) != e20,
inference(simplify,[then_simplify],['280','19','5']) ).
cnf('282',plain,
e23 != e20,
inference(paramodulation,[],['279','281']) ).
cnf('283',plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('284',plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[],['ax11_$sk']) ).
cnf('285',plain,
( h1(e11) != e20
| h1(e11) != e20 ),
inference(simplify,[then_simplify],['284','7','7']) ).
cnf('286',plain,
h1(e11) != e20,
inference(factorization,[],['285']) ).
cnf('287',plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('288',plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('289',plain,
op2(e21,e22) != h2(e10),
inference(paramodulation,[],['257','288']) ).
cnf('290',plain,
op2(e21,e22) != e22,
inference(paramodulation,[],['261','289']) ).
cnf('291',plain,
op2(e23,e22) = e22,
inference(resolution,[],['290','200']) ).
cnf('292',plain,
op2(e23,e20) = e23,
inference(simplify,[then_simplify],['287','236','235','238','5','291','3']) ).
cnf('293',plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('294',plain,
h1(e11) != op2(e23,e20),
inference(simplify,[],['293','7']) ).
cnf('295',plain,
h1(e11) != e23,
inference(paramodulation,[],['292','294']) ).
cnf('296',plain,
( h1(e11) = e21
| h1(e11) = e22 ),
inference(simplify,[then_simplify],['283','286','295','7','7','7','7']) ).
cnf('297',plain,
( e21 = op2(e20,e20)
| h1(e11) = e22 ),
inference(paramodulation,[],['296','7']) ).
cnf('298',plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('299',plain,
op2(e22,e20) != h3(e10),
inference(paramodulation,[],['247','298']) ).
cnf('300',plain,
op2(e22,e20) != e20,
inference(paramodulation,[],['273','299']) ).
cnf('301',plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],['ax3_$sk']) ).
cnf('302',plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('303',plain,
op2(e22,e20) != e21,
inference(paramodulation,[],['216','302']) ).
cnf('304',plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(simplify,[],['301','303']) ).
cnf('305',plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('306',plain,
op2(e22,e20) != h3(e11),
inference(simplify,[],['305','21']) ).
cnf('307',plain,
op2(e22,e20) != e23,
inference(paramodulation,[],['244','306']) ).
cnf('308',plain,
op2(e22,e20) = e22,
inference(resolution,[then_simplify],['300','304','307']) ).
cnf('309',plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('310',plain,
h1(e11) != op2(e22,e20),
inference(simplify,[],['309','7']) ).
cnf('311',plain,
h1(e11) != e22,
inference(paramodulation,[],['308','310']) ).
cnf('312',plain,
e21 = h1(e11),
inference(simplify,[then_simplify],['297','311','7']) ).
cnf('313',plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('314',plain,
op2(e20,e23) = e23,
inference(simplify,[then_simplify],['313','235','236','238','257','261','247','273','3']) ).
cnf('315',plain,
op2(e20,e22) = e20,
inference(simplify,[then_simplify],['188','219','278','282','7','312','15','314']) ).
cnf('316',plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('317',plain,
( op2(e21,e20) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(simplify,[then_simplify],['316','214','19']) ).
cnf('318',plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('319',plain,
h1(e11) != op2(e21,e20),
inference(simplify,[],['318','7']) ).
cnf('320',plain,
( e21 != op2(e21,e20)
| h1(e11) = e22 ),
inference(paramodulation,[],['296','319']) ).
cnf('321',plain,
e21 != op2(e21,e20),
inference(simplify,[],['320','311']) ).
cnf('322',plain,
( op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(paramodulation,[],['317','321']) ).
cnf('323',plain,
op2(e21,e22) = e21,
inference(simplify,[then_simplify],['322','211','257','261']) ).
cnf('324',plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('325',plain,
( op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(paramodulation,[then_simplify],['149','324','123']) ).
cnf('326',plain,
op1(e11,e11) != e11,
inference(factorization,[],['88']) ).
cnf('327',plain,
( e13 != e11
| op1(e12,e11) = e13 ),
inference(paramodulation,[],['49','326']) ).
cnf('328',plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('329',plain,
( op1(e11,e11) != e13
| e13 != e11 ),
inference(paramodulation,[],['327','328']) ).
cnf('330',plain,
e13 != e11,
inference(resolution,[],['96','329']) ).
cnf('331',plain,
op1(e12,e11) = e11,
inference(simplify,[then_simplify],['325','330','110','124','154']) ).
cnf('332',plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('333',plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('334',plain,
op1(e10,e10) != e12,
inference(paramodulation,[],['149','333']) ).
cnf('335',plain,
op1(e10,e10) != e13,
inference(paramodulation,[],['100','139']) ).
cnf('336',plain,
op1(e10,e10) = e11,
inference(simplify,[then_simplify],['332','135','334','335']) ).
cnf('337',plain,
~ $pr($df3),
inference(simplify,[then_simplify],['25','35','187','6','315','149','16','308','141','20','314','185','18','323','331','18','216','100','20','292','142','16','257','261','154','6','247','273','101','16','291','336','18','312','96','20','254','124','20','244']) ).
cnf('338',plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| $pr($df15)
| $pr($df14)
| $pr($df13) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('339',plain,
( h4(op1(e11,e10)) = op2(e21,e20)
| $pr($df15)
| $pr($df14)
| $pr($df13) ),
inference(simplify,[then_simplify],['338','18','6']) ).
cnf('340',plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| h4(op1(e12,e10)) != op2(e22,e20)
| h4(op1(e10,e13)) != op2(e20,e23)
| h4(op1(e11,e12)) != op2(e21,e22)
| h4(op1(e12,e11)) != op2(e22,e21)
| h4(op1(e13,e10)) != op2(e23,e20)
| h4(op1(e11,e13)) != op2(e21,e23)
| h4(op1(e12,e13)) != op2(e22,e23)
| h4(op1(e13,e12)) != op2(e23,e22)
| h4(op1(e10,e10)) != h1(e11)
| h4(op1(e11,e11)) != h2(e11)
| h4(op1(e12,e12)) != h3(e11)
| ~ $pr($df2)
| $pr($df15)
| $pr($df14)
| $pr($df13) ),
inference(resolution,[],['22','339']) ).
cnf('341',plain,
( $pr($df15)
| $pr($df14)
| $pr($df13) ),
inference(simplify,[then_simplify],['340','35','187','6','315','149','16','308','141','20','314','185','18','323','331','18','216','100','20','292','142','16','257','261','154','6','247','273','101','16','291','336','18','312','96','20','254','124','20','244']) ).
cnf('342',plain,
( ~ $pr($df15)
| $pr($df4) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('343',plain,
( ~ $pr($df4)
| h4(e11) = e20 ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('344',plain,
( ~ $pr($df4)
| e21 = e20 ),
inference(simplify,[],['343','18']) ).
cnf('345',plain,
e20 != e21,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('346',plain,
~ $pr($df4),
inference(paramodulation,[],['344','345']) ).
cnf('347',plain,
~ $pr($df15),
inference(simplify,[],['342','346']) ).
cnf('348',plain,
( $pr($df14)
| $pr($df13) ),
inference(resolution,[],['341','347']) ).
cnf('349',plain,
( ~ $pr($df14)
| $pr($df3) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('350',plain,
( $pr($df3)
| $pr($df13) ),
inference(resolution,[],['348','349']) ).
cnf('351',plain,
$pr($df13),
inference(resolution,[],['337','350']) ).
cnf('352',plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[],['ax4_$sk']) ).
cnf('353',plain,
op2(e21,e20) = e20,
inference(simplify,[then_simplify],['352','219','278','282','7','312','308','292']) ).
cnf('354',plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| ~ $pr($df13)
| $pr($df8)
| $pr($df9) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('355',plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| ~ $pr($df13)
| $pr($df8)
| $pr($df9) ),
inference(simplify,[then_simplify],['354','18','6']) ).
cnf('356',plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| ~ $pr($df8) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('357',plain,
( h4(op1(e10,e13)) != op2(e20,e23)
| ~ $pr($df8) ),
inference(simplify,[then_simplify],['356','6','20']) ).
cnf('358',plain,
( h4(e13) != op2(e20,e23)
| ~ $pr($df8) ),
inference(paramodulation,[],['141','357']) ).
cnf('359',plain,
( e23 != op2(e20,e23)
| ~ $pr($df8) ),
inference(simplify,[],['358','20']) ).
cnf('360',plain,
~ $pr($df8),
inference(paramodulation,[],['314','359']) ).
cnf('361',plain,
( h4(op1(e11,e10)) != e20
| ~ $pr($df13)
| $pr($df9) ),
inference(paramodulation,[then_simplify],['353','355','360']) ).
cnf('362',plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('363',plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('364',plain,
op1(e11,e10) != e11,
inference(paramodulation,[],['185','363']) ).
cnf('365',plain,
op1(e11,e10) != e12,
inference(paramodulation,[],['142','145']) ).
cnf('366',plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('367',plain,
op1(e11,e10) != e13,
inference(paramodulation,[],['96','366']) ).
cnf('368',plain,
op1(e11,e10) = e10,
inference(simplify,[then_simplify],['362','364','365','367']) ).
cnf('369',plain,
( ~ $pr($df13)
| $pr($df9) ),
inference(simplify,[then_simplify],['361','368','6']) ).
cnf('370',plain,
$pr($df9),
inference(resolution,[],['351','369']) ).
cnf('371',plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| ~ $pr($df9)
| $pr($df6)
| $pr($df7) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('372',plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| ~ $pr($df9)
| $pr($df6)
| $pr($df7) ),
inference(simplify,[then_simplify],['371','6','16']) ).
cnf('373',plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ~ $pr($df7) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('374',plain,
( h4(op1(e10,e10)) != h1(e11)
| ~ $pr($df7) ),
inference(simplify,[then_simplify],['373','6','6','7']) ).
cnf('375',plain,
( h4(e11) != h1(e11)
| ~ $pr($df7) ),
inference(paramodulation,[],['336','374']) ).
cnf('376',plain,
( e21 != h1(e11)
| ~ $pr($df7) ),
inference(simplify,[],['375','18']) ).
cnf('377',plain,
( ~ $pr($df7)
| h1(e11) = e22 ),
inference(paramodulation,[],['296','376']) ).
cnf('378',plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('379',plain,
h1(e11) != e22,
inference(simplify,[then_simplify],['378','7','15']) ).
cnf('380',plain,
~ $pr($df7),
inference(resolution,[],['377','379']) ).
cnf('381',plain,
( h4(op1(e10,e12)) != e20
| ~ $pr($df9)
| $pr($df6) ),
inference(paramodulation,[then_simplify],['315','372','380']) ).
cnf('382',plain,
( ~ $pr($df9)
| $pr($df6) ),
inference(simplify,[then_simplify],['381','187','6']) ).
cnf('383',plain,
$pr($df6),
inference(resolution,[],['370','382']) ).
cnf('384',plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ~ $pr($df6) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('385',plain,
~ $pr($df6),
inference(simplify,[then_simplify],['384','12','16','6','18','15']) ).
cnf('386',plain,
$false,
inference(resolution,[],['383','385']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG111+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:29:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.42
% 0.21/0.42 input clause set summed statistics:
% 0.21/0.42 ----------------------------------
% 0.21/0.42 in_clause_count: 1390
% 0.21/0.42 in_rule_clause_count: 1390
% 0.21/0.42 in_fact_clause_count: 0
% 0.21/0.42 in_answer_clause_count: 0
% 0.21/0.42 in_ground_clause_count: 1390
% 0.21/0.42 in_unit_clause_count: 146
% 0.21/0.42 in_horn_clause_count: 874
% 0.21/0.42 in_pos_clause_count: 202
% 0.21/0.42 in_neg_clause_count: 560
% 0.21/0.42 in_poseq_clause_count: 478
% 0.21/0.42 in_negeq_clause_count: 412
% 0.21/0.42 in_unitposeq_clause_count: 22
% 0.21/0.42 in_chain_clause_count: 0
% 0.21/0.42 in_min_length: 1
% 0.21/0.42 in_max_length: 18
% 0.21/0.42 in_min_depth: 1
% 0.21/0.42 in_max_depth: 4
% 0.21/0.42 in_min_size: 3
% 0.21/0.42 in_max_size: 166
% 0.21/0.42 in_min_vars: 0
% 0.21/0.42 in_max_vars: 0
% 0.21/0.42 in_extaxiom_count: 0
% 0.21/0.42 in_axiom_count: 370
% 0.21/0.42 in_assumption_count: 0
% 0.21/0.42 in_goal_count: 1020
% 0.21/0.42 in_neg_goal_count: 308
% 0.21/0.42 in_pos_goal_count: 84
% 0.21/0.42 in_posunit_goal_count: 0
% 0.21/0.42
% 0.21/0.42 auto guide:
% 0.21/0.42 -----------
% 0.21/0.42 {
% 0.21/0.42 "print":1,
% 0.21/0.42 "print_level": 15,
% 0.21/0.42 "max_size": 0,
% 0.21/0.42 "max_depth": 0,
% 0.21/0.42 "max_length": 0,
% 0.21/0.42 "max_dseconds": 0,
% 0.21/0.42 "runs":[
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.42 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.42 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.42 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.42 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
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% 0.21/0.42
% 0.21/0.42 {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
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% 0.21/0.42 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.21/0.42
% 0.21/0.42 {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.42 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.42 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
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% 0.21/0.42
% 0.21/0.42 ]}
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 **** run 1 fork 0 starts with strategy
% 0.21/0.42 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.21/0.42
% 0.21/0.42 **** run 2 fork 1 starts with strategy
% 0.21/0.42 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.21/0.42
% 0.21/0.42 **** run 3 fork 2 starts with strategy
% 0.21/0.42 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.42
% 0.21/0.42 **** run 4 fork 3 starts with strategy
% 0.21/0.42 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.43
% 0.21/0.43 **** run 5 fork 4 starts with strategy
% 0.21/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.43
% 0.21/0.43 **** run 6 fork 5 starts with strategy
% 0.21/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.43
% 0.21/0.43 **** run 7 fork 6 starts with strategy
% 0.21/0.43 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.43
% 0.21/0.43 **** run 8 fork 7 starts with strategy
% 0.21/0.43 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.49
% 0.21/0.49 fork 0: search finished without proof.
% 0.21/0.52
% 0.21/0.52 **** run 9 fork 0 starts with strategy
% 0.21/0.52 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.56
% 0.21/0.56 fork 4: search finished without proof.
% 0.21/0.57
% 0.21/0.57 fork 2: search finished without proof.
% 0.21/0.57
% 0.21/0.57 fork 5: search finished without proof.
% 0.21/0.57
% 0.21/0.57 fork 3: search finished without proof.
% 0.21/0.57
% 0.21/0.57
% 0.21/0.57 fork 1: search terminated without proof.
% 0.21/0.57
% 0.21/0.57 fork 7: search finished without proof.
% 0.21/0.57
% 0.21/0.57
% 0.21/0.57 fork 6: search terminated without proof.
% 0.21/0.59
% 0.21/0.59 **** run 13 fork 4 starts with strategy
% 0.21/0.59 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.21/0.59
% 0.21/0.59 **** run 11 fork 2 starts with strategy
% 0.21/0.59 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.21/0.59
% 0.21/0.59 **** run 14 fork 5 starts with strategy
% 0.21/0.59 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 0.21/0.59
% 0.21/0.59 **** run 12 fork 3 starts with strategy
% 0.21/0.59 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.60
% 0.21/0.60 **** run 10 fork 1 starts with strategy
% 0.21/0.60 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.60
% 0.21/0.60 **** run 15 fork 6 starts with strategy
% 0.21/0.60 {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 0.21/0.60
% 0.21/0.60 **** run 16 fork 7 starts with strategy
% 0.21/0.60 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.21/0.64 No candidate clauses found.
% 0.21/0.64
% 0.21/0.64
% 0.21/0.64 fork 2: search terminated without proof.
% 0.21/0.64
% 0.21/0.64 fork 6: search finished without proof.
% 0.21/0.66
% 0.21/0.66
% 0.21/0.66 fork 0: search terminated without proof.
% 0.21/0.66
% 0.21/0.66 **** run 19 fork 2 starts with strategy
% 0.21/0.66 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.66
% 0.21/0.66 **** run 23 fork 6 starts with strategy
% 0.21/0.66 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.21/0.69
% 0.21/0.69 **** run 17 fork 0 starts with strategy
% 0.21/0.69 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.72
% 0.21/0.72
% 0.21/0.72 fork 5: search terminated without proof.
% 0.21/0.73
% 0.21/0.73
% 0.21/0.73 fork 4: search terminated without proof.
% 0.21/0.73
% 0.21/0.73 fork 3: search finished without proof.
% 0.21/0.73
% 0.21/0.73
% 0.21/0.73 fork 1: search terminated without proof.
% 0.21/0.74
% 0.21/0.74
% 0.21/0.74 fork 7: search terminated without proof.
% 0.21/0.75
% 0.21/0.75 **** run 22 fork 5 starts with strategy
% 0.21/0.75 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.21/0.75
% 0.21/0.75 **** run 18 fork 1 starts with strategy
% 0.21/0.75 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.75
% 0.21/0.75 **** run 20 fork 3 starts with strategy
% 0.21/0.75 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.21/0.75
% 0.21/0.75 **** run 21 fork 4 starts with strategy
% 0.21/0.75 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 0.21/0.76
% 0.21/0.76 **** run 24 fork 7 starts with strategy
% 0.21/0.76 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.46/0.81
% 2.46/0.81
% 2.46/0.81 fork 2: search terminated without proof.
% 2.46/0.83
% 2.46/0.83 fork 6: search finished without proof.
% 2.46/0.83
% 2.46/0.83 **** run 27 fork 2 starts with strategy
% 2.46/0.83 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.33/0.85
% 3.33/0.85 **** run 31 fork 6 starts with strategy
% 3.33/0.85 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 3.33/0.86
% 3.33/0.86
% 3.33/0.86 fork 0: search terminated without proof.
% 3.33/0.88
% 3.33/0.88 **** run 25 fork 0 starts with strategy
% 3.33/0.88 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 3.33/0.88
% 3.33/0.88 fork 3: search finished without proof.
% 3.73/0.89
% 3.73/0.89
% 3.73/0.89 fork 1: search terminated without proof.
% 3.73/0.89
% 3.73/0.89 fork 5: search finished without proof.
% 3.73/0.89
% 3.73/0.89
% 3.73/0.89 fork 4: search terminated without proof.
% 3.73/0.89
% 3.73/0.89
% 3.73/0.89 fork 7: search terminated without proof.
% 3.73/0.90
% 3.73/0.90 **** run 28 fork 3 starts with strategy
% 3.73/0.90 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.73/0.91
% 3.73/0.91 **** run 26 fork 1 starts with strategy
% 3.73/0.91 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.73/0.91
% 3.73/0.91 **** run 30 fork 5 starts with strategy
% 3.73/0.91 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.73/0.91
% 3.73/0.91 **** run 29 fork 4 starts with strategy
% 3.73/0.91 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.73/0.91
% 3.73/0.91 **** run 32 fork 7 starts with strategy
% 3.73/0.91 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 4.33/0.96
% 4.33/0.96
% 4.33/0.96 fork 2: search terminated without proof.
% 4.33/0.98
% 4.33/0.98 **** run 35 fork 2 starts with strategy
% 4.33/0.98 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 4.33/0.98
% 4.33/0.98
% 4.33/0.98 fork 6: search terminated without proof.
% 4.33/1.00
% 4.33/1.00 **** run 39 fork 6 starts with strategy
% 4.33/1.00 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 4.73/1.01
% 4.73/1.01
% 4.73/1.01 fork 0: search terminated without proof.
% 4.73/1.03
% 4.73/1.03 **** run 33 fork 0 starts with strategy
% 4.73/1.03 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 4.73/1.03
% 4.73/1.03
% 4.73/1.03 fork 3: search terminated without proof.
% 4.73/1.04
% 4.73/1.04
% 4.73/1.04 fork 1: search terminated without proof.
% 4.73/1.04
% 4.73/1.04
% 4.73/1.04 fork 4: search terminated without proof.
% 5.05/1.05
% 5.05/1.05
% 5.05/1.05 fork 5: search terminated without proof.
% 5.05/1.05
% 5.05/1.05
% 5.05/1.05 fork 7: search terminated without proof.
% 5.05/1.06
% 5.05/1.06 **** run 36 fork 3 starts with strategy
% 5.05/1.06 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 5.05/1.06
% 5.05/1.06 **** run 34 fork 1 starts with strategy
% 5.05/1.06 {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 5.05/1.07
% 5.05/1.07 **** run 37 fork 4 starts with strategy
% 5.05/1.07 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 5.05/1.07
% 5.05/1.07 **** run 40 fork 7 starts with strategy
% 5.05/1.07 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 5.05/1.08
% 5.05/1.08 **** run 38 fork 5 starts with strategy
% 5.05/1.08 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.05/1.10
% 5.05/1.10 fork 2: search finished without proof.
% 5.05/1.10
% 5.05/1.10 fork 1: search finished without proof.
% 5.05/1.12
% 5.05/1.12 **** run 43 fork 2 starts with strategy
% 5.05/1.12 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 5.05/1.13
% 5.05/1.13 **** run 42 fork 1 starts with strategy
% 5.05/1.13 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 5.05/1.13
% 5.05/1.13
% 5.05/1.13 fork 6: search terminated without proof.
% 5.75/1.16
% 5.75/1.16 **** run 47 fork 6 starts with strategy
% 5.75/1.16 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.75/1.16
% 5.75/1.16
% 5.75/1.16 fork 0: search terminated without proof.
% 5.75/1.18
% 5.75/1.18 fork 3: search finished without proof.
% 6.13/1.19
% 6.13/1.19 **** run 41 fork 0 starts with strategy
% 6.13/1.19 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.13/1.20
% 6.13/1.20 fork 4: search finished without proof.
% 6.13/1.20
% 6.13/1.20
% 6.13/1.20 fork 7: search terminated without proof.
% 6.13/1.21
% 6.13/1.21 **** run 44 fork 3 starts with strategy
% 6.13/1.21 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 6.13/1.21
% 6.13/1.21 fork 5: search finished without proof.
% 6.13/1.22
% 6.13/1.22 **** run 45 fork 4 starts with strategy
% 6.13/1.22 {"var_weight":70,"repeat_var_weight":70,"rewrite":0,"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["hardness_pref","max_weight"],"max_dseconds":1}
% 6.13/1.23
% 6.13/1.23 **** run 48 fork 7 starts with strategy
% 6.13/1.23 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.13/1.23
% 6.13/1.23 **** run 46 fork 5 starts with strategy
% 6.13/1.23 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.62/1.25
% 6.62/1.25 fork 2: search finished without proof.
% 6.71/1.26
% 6.71/1.26
% 6.71/1.26 fork 1: search terminated without proof.
% 6.71/1.27
% 6.71/1.27 **** run 51 fork 2 starts with strategy
% 6.71/1.27 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.71/1.29
% 6.71/1.29 **** run 50 fork 1 starts with strategy
% 6.71/1.29 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.71/1.29
% 6.71/1.29
% 6.71/1.29 fork 6: search terminated without proof.
% 6.71/1.32
% 6.71/1.32 **** run 55 fork 6 starts with strategy
% 6.71/1.32 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 6.71/1.32
% 6.71/1.32
% 6.71/1.32 fork 0: search terminated without proof.
% 6.71/1.34
% 6.71/1.34 fork 3: search finished without proof.
% 6.71/1.35
% 6.71/1.35 **** run 49 fork 0 starts with strategy
% 6.71/1.35 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.71/1.36
% 6.71/1.36
% 6.71/1.36 fork 4: search terminated without proof.
% 6.71/1.36
% 6.71/1.36
% 6.71/1.36 fork 7: search terminated without proof.
% 6.71/1.36
% 6.71/1.36 **** run 52 fork 3 starts with strategy
% 6.71/1.36 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.71/1.38
% 6.71/1.38 **** run 53 fork 4 starts with strategy
% 6.71/1.38 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 6.71/1.39
% 6.71/1.39 **** run 56 fork 7 starts with strategy
% 6.71/1.39 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.71/1.41
% 6.71/1.41
% 6.71/1.41 fork 2: search terminated without proof.
% 6.71/1.42
% 6.71/1.42
% 6.71/1.42 fork 1: search terminated without proof.
% 6.71/1.43
% 6.71/1.43 **** run 59 fork 2 starts with strategy
% 6.71/1.43 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 6.71/1.44
% 6.71/1.44 fork 5: search finished without proof.
% 6.71/1.44
% 6.71/1.44 fork 6: search finished without proof.
% 6.71/1.45
% 6.71/1.45 **** run 58 fork 1 starts with strategy
% 6.71/1.45 {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 6.71/1.47
% 6.71/1.47 **** run 63 fork 6 starts with strategy
% 6.71/1.47 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 6.71/1.48
% 6.71/1.48 **** run 54 fork 5 starts with strategy
% 6.71/1.48 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.71/1.48
% 6.71/1.48 fork 0: search finished without proof.
% 7.82/1.49
% 7.82/1.49 fork 1: search finished without proof.
% 7.82/1.50
% 7.82/1.50 fork 3: search finished without proof.
% 7.82/1.51
% 7.82/1.51 **** run 57 fork 0 starts with strategy
% 7.82/1.51 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 7.82/1.52
% 7.82/1.52 **** run 66 fork 1 starts with strategy
% 7.82/1.52 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 7.82/1.52
% 7.82/1.52 fork 7: search finished without proof.
% 7.82/1.52
% 7.82/1.52
% 7.82/1.52 fork 4: search terminated without proof.
% 7.82/1.52
% 7.82/1.52 **** run 60 fork 3 starts with strategy
% 7.82/1.52 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.77/1.55
% 8.77/1.55 **** run 61 fork 4 starts with strategy
% 8.77/1.55 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.77/1.55
% 8.77/1.55 **** run 64 fork 7 starts with strategy
% 8.77/1.55 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 9.50/1.62
% 9.50/1.62
% 9.50/1.62 fork 5: search terminated without proof.
% 9.50/1.64
% 9.50/1.64 **** run 62 fork 5 starts with strategy
% 9.50/1.64 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 9.50/1.64
% 9.50/1.64
% 9.50/1.64 fork 0: search terminated without proof.
% 9.50/1.67
% 9.50/1.67 **** run 65 fork 0 starts with strategy
% 9.50/1.67 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 13.07/2.19
% 13.07/2.19
% 13.07/2.19 result: proof found
% 13.07/2.19 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.07/2.19 by run 61 fork 4 strategy {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 13.07/2.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.07/2.19
% 13.07/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.07/2.19
% 13.07/2.19 run 61 fork 4 statistics:
% 13.07/2.19 ----------------------------------
% 13.07/2.19 this run seconds: 0.607712
% 13.07/2.19 total seconds: 1.756594
% 13.07/2.19 stat_given_used: 2802
% 13.07/2.19 stat_given_used_at_endgame: 0
% 13.07/2.19 stat_given_candidates: 20035
% 13.07/2.19 stat_given_candidates_at_endgame: 0
% 13.07/2.19 stat_given_candidates_h: 0
% 13.07/2.19 stat_binres_derived_cl: 2224
% 13.07/2.19 stat_binres_derived_cl_h: 0
% 13.07/2.19 stat_factor_derived_cl: 6
% 13.07/2.19 stat_para_derived_cl: 41184
% 13.07/2.19 stat_tautologies_discarded: 1603
% 13.07/2.19 stat_forward_subsumed: 18185
% 13.07/2.19 stat_derived_cut: 4184
% 13.07/2.19 stat_derived_rewritten: 1589
% 13.07/2.19 stat_weight_discarded_building: 0
% 13.07/2.19 stat_weight_discarded_cl: 18
% 13.07/2.19 stat_internlimit_discarded_cl: 0
% 13.07/2.19 stat_simplified: 2132 simplified 0 derived 0 given
% 13.07/2.19 stat_kept_cl: 20042
% 13.07/2.19 stat_built_cl: 27796
% 13.07/2.19 stat_hyperres_partial_cl: 0
% 13.07/2.19 stat_made_rewriters: 56
% 13.07/2.19 stat_backward_subsumed: 0
% 13.07/2.19 stat_propagated_subsumed: 0
% 13.07/2.19 stat_clsubs_attempted: 24422
% 13.07/2.19 stat_clsubs_fact_groundunit_found: 67
% 13.07/2.19 stat_clsubs_rule_groundunit_found: 979
% 13.07/2.19 stat_clsubs_top_meta_attempted: 9140653
% 13.07/2.19 stat_clsubs_top_meta_failed: 9116231
% 13.07/2.19 stat_clsubs_top_meta_nonpref_attempted: 9140653
% 13.07/2.19 stat_clsubs_top_meta_nonpref_succeeded: 2543906
% 13.07/2.19 stat_clsubs_top_meta_pref_attempted: 2543906
% 13.07/2.19 stat_clsubs_top_meta_pref1_succeeded: 1363028
% 13.07/2.19 stat_clsubs_top_meta_pref2_succeeded: 47736
% 13.07/2.19 stat_clsubs_top_meta_pref3_succeeded: 24422
% 13.07/2.19 stat_clsubs_top_meta_pref_succeeded: 24422
% 13.07/2.19 stat_clsubs_meta_attempted: 52736
% 13.07/2.19 stat_clsubs_meta_failed: 36568
% 13.07/2.19 stat_clsubs_predsymbs_attempted: 0
% 13.07/2.19 stat_clsubs_unit_attempted: 0
% 13.07/2.19 stat_clsubs_full_attempted: 24422
% 13.07/2.19 stat_forwardsubs_attempted: 38245
% 13.07/2.19 stat_lit_hash_added: 9710
% 13.07/2.19 stat_lit_hash_computed: 217325
% 13.07/2.19 stat_lit_hash_match_found: 34404
% 13.07/2.19 stat_lit_hash_match_miss: 283997
% 13.07/2.19 stat_lit_hash_cut_ok: 6655
% 13.07/2.19 stat_lit_strong_cut_ok: 0
% 13.07/2.19 stat_lit_hash_subsume_ok: 18185
% 13.07/2.19 clqueue els 10000000 used 1
% 13.07/2.19 clactive els 10000000 used 2803
% 13.07/2.19 clactivesubsume els 10000000 used 14605
% 13.07/2.19 queue_termbuf els 200000000 used 1869224
% 13.07/2.19 hyper_termbuf els 100000000 used 1
% 13.07/2.19 active_termbuf els 100000000 used 107270
% 13.07/2.19 varstack els 5000 last used 1
% 13.07/2.19 given_termbuf els 10000000 last used 7
% 13.07/2.19 simplified_termbuf els 10000000 last used 1
% 13.07/2.19 derived_termbuf els 10000000 last used 9
% 13.07/2.19 wr_mallocs: 22037
% 13.07/2.19 wr_callocs: 21
% 13.07/2.19 wr_reallocs: 2247
% 13.07/2.19 wr_frees: 4
% 13.07/2.19 wr_malloc_bytes: 4163336980
% 13.07/2.19 wr_calloc_bytes: 112065536
% 13.07/2.19 wr_realloc_bytes: 889368
% 13.07/2.19 wr_realloc_freebytes: 0
% 13.07/2.19 ----------------------------------
%------------------------------------------------------------------------------