TSTP Solution File: ALG015+1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n025.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 16:27:25 EDT 2023
% Result : Theorem 15.71s 2.54s
% Output : CNFRefutation 15.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof('co1_$sk',plain,
( ( ( h12(e13) != e23
& h12(e12) != e23
& h12(e11) != e23
& h12(e10) != e23 )
| ( h12(e13) != e22
& h12(e12) != e22
& h12(e11) != e22
& h12(e10) != e22 )
| ( h12(e13) != e21
& h12(e12) != e21
& h12(e11) != e21
& h12(e10) != e21 )
| ( h12(e13) != e20
& h12(e12) != e20
& h12(e11) != e20
& h12(e10) != e20 )
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10)) )
& ( ( h11(e13) != e23
& h11(e12) != e23
& h11(e11) != e23
& h11(e10) != e23 )
| ( h11(e13) != e22
& h11(e12) != e22
& h11(e11) != e22
& h11(e10) != e22 )
| ( h11(e13) != e21
& h11(e12) != e21
& h11(e11) != e21
& h11(e10) != e21 )
| ( h11(e13) != e20
& h11(e12) != e20
& h11(e11) != e20
& h11(e10) != e20 )
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e10)) != op2(h11(e10),h11(e10)) )
& ( ( h10(e13) != e23
& h10(e12) != e23
& h10(e11) != e23
& h10(e10) != e23 )
| ( h10(e13) != e22
& h10(e12) != e22
& h10(e11) != e22
& h10(e10) != e22 )
| ( h10(e13) != e21
& h10(e12) != e21
& h10(e11) != e21
& h10(e10) != e21 )
| ( h10(e13) != e20
& h10(e12) != e20
& h10(e11) != e20
& h10(e10) != e20 )
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e10)) != op2(h10(e10),h10(e10)) )
& ( ( h9(e13) != e23
& h9(e12) != e23
& h9(e11) != e23
& h9(e10) != e23 )
| ( h9(e13) != e22
& h9(e12) != e22
& h9(e11) != e22
& h9(e10) != e22 )
| ( h9(e13) != e21
& h9(e12) != e21
& h9(e11) != e21
& h9(e10) != e21 )
| ( h9(e13) != e20
& h9(e12) != e20
& h9(e11) != e20
& h9(e10) != e20 )
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e10)) != op2(h9(e10),h9(e10)) )
& ( ( h8(e13) != e23
& h8(e12) != e23
& h8(e11) != e23
& h8(e10) != e23 )
| ( h8(e13) != e22
& h8(e12) != e22
& h8(e11) != e22
& h8(e10) != e22 )
| ( h8(e13) != e21
& h8(e12) != e21
& h8(e11) != e21
& h8(e10) != e21 )
| ( h8(e13) != e20
& h8(e12) != e20
& h8(e11) != e20
& h8(e10) != e20 )
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e10)) != op2(h8(e10),h8(e10)) )
& ( ( h7(e13) != e23
& h7(e12) != e23
& h7(e11) != e23
& h7(e10) != e23 )
| ( h7(e13) != e22
& h7(e12) != e22
& h7(e11) != e22
& h7(e10) != e22 )
| ( h7(e13) != e21
& h7(e12) != e21
& h7(e11) != e21
& h7(e10) != e21 )
| ( h7(e13) != e20
& h7(e12) != e20
& h7(e11) != e20
& h7(e10) != e20 )
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e10)) != op2(h7(e10),h7(e10)) )
& ( ( h6(e13) != e23
& h6(e12) != e23
& h6(e11) != e23
& h6(e10) != e23 )
| ( h6(e13) != e22
& h6(e12) != e22
& h6(e11) != e22
& h6(e10) != e22 )
| ( h6(e13) != e21
& h6(e12) != e21
& h6(e11) != e21
& h6(e10) != e21 )
| ( h6(e13) != e20
& h6(e12) != e20
& h6(e11) != e20
& h6(e10) != e20 )
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e10)) != op2(h6(e10),h6(e10)) )
& ( ( h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| ( h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 )
| ( h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 )
| ( h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 )
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(negpush_and_skolemize,[],[co1]) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ),
input ).
fof('ax34_$sk',plain,
( h9(e11) = op2(e22,e23)
& h9(e10) = op2(e23,e23)
& h9(e13) = e23
& h9(e12) = e22 ),
inference(negpush_and_skolemize,[],[ax34]) ).
fof(ax34,axiom,
( h9(e12) = e22
& h9(e13) = e23
& h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23) ),
input ).
fof('ax25_$sk',plain,
( e21 = op2(e22,e23)
& e20 = op2(e23,e23) ),
inference(negpush_and_skolemize,[],[ax25]) ).
fof(ax25,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
input ).
fof('ax32_$sk',plain,
( h7(e11) = op2(e22,e20)
& h7(e10) = op2(e20,e20)
& h7(e13) = e20
& h7(e12) = e22 ),
inference(negpush_and_skolemize,[],[ax32]) ).
fof(ax32,axiom,
( h7(e12) = e22
& h7(e13) = e20
& h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20) ),
input ).
fof('ax35_$sk',plain,
( h10(e11) = op2(e23,e20)
& h10(e10) = op2(e20,e20)
& h10(e13) = e20
& h10(e12) = e23 ),
inference(negpush_and_skolemize,[],[ax35]) ).
fof(ax35,axiom,
( h10(e12) = e23
& h10(e13) = e20
& h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20) ),
input ).
fof('ax26_$sk',plain,
( h1(e11) = op2(e20,e21)
& h1(e10) = op2(e21,e21)
& h1(e13) = e21
& h1(e12) = e20 ),
inference(negpush_and_skolemize,[],[ax26]) ).
fof(ax26,axiom,
( h1(e12) = e20
& h1(e13) = e21
& h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21) ),
input ).
fof('ax29_$sk',plain,
( h4(e11) = op2(e21,e20)
& h4(e10) = op2(e20,e20)
& h4(e13) = e20
& h4(e12) = e21 ),
inference(negpush_and_skolemize,[],[ax29]) ).
fof(ax29,axiom,
( h4(e12) = e21
& h4(e13) = e20
& h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20) ),
input ).
fof('ax27_$sk',plain,
( h2(e11) = op2(e20,e22)
& h2(e10) = op2(e22,e22)
& h2(e13) = e22
& h2(e12) = e20 ),
inference(negpush_and_skolemize,[],[ax27]) ).
fof(ax27,axiom,
( h2(e12) = e20
& h2(e13) = e22
& h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22) ),
input ).
fof('ax33_$sk',plain,
( h8(e11) = op2(e22,e21)
& h8(e10) = op2(e21,e21)
& h8(e13) = e21
& h8(e12) = e22 ),
inference(negpush_and_skolemize,[],[ax33]) ).
fof(ax33,axiom,
( h8(e12) = e22
& h8(e13) = e21
& h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21) ),
input ).
fof('ax36_$sk',plain,
( h11(e11) = op2(e23,e21)
& h11(e10) = op2(e21,e21)
& h11(e13) = e21
& h11(e12) = e23 ),
inference(negpush_and_skolemize,[],[ax36]) ).
fof(ax36,axiom,
( h11(e12) = e23
& h11(e13) = e21
& h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21) ),
input ).
fof('ax2_$sk',plain,
( op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10)) ),
inference(negpush_and_skolemize,[],[ax2]) ).
fof(ax2,axiom,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
input ).
fof('ax24_$sk',plain,
( e11 = op1(e12,e13)
& e10 = op1(e13,e13) ),
inference(negpush_and_skolemize,[],[ax24]) ).
fof(ax24,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
input ).
fof('ax28_$sk',plain,
( h3(e11) = op2(e20,e23)
& h3(e10) = op2(e23,e23)
& h3(e13) = e23
& h3(e12) = e20 ),
inference(negpush_and_skolemize,[],[ax28]) ).
fof(ax28,axiom,
( h3(e12) = e20
& h3(e13) = e23
& h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23) ),
input ).
fof('ax6_$sk',plain,
( op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)) ),
inference(negpush_and_skolemize,[],[ax6]) ).
fof(ax6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
input ).
fof('ax30_$sk',plain,
( h5(e11) = op2(e21,e22)
& h5(e10) = op2(e22,e22)
& h5(e13) = e22
& h5(e12) = e21 ),
inference(negpush_and_skolemize,[],[ax30]) ).
fof(ax30,axiom,
( h5(e12) = e21
& h5(e13) = e22
& h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22) ),
input ).
fof('ax31_$sk',plain,
( h6(e11) = op2(e21,e23)
& h6(e10) = op2(e23,e23)
& h6(e13) = e23
& h6(e12) = e21 ),
inference(negpush_and_skolemize,[],[ax31]) ).
fof(ax31,axiom,
( h6(e12) = e21
& h6(e13) = e23
& h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23) ),
input ).
fof('ax37_$sk',plain,
( h12(e11) = op2(e23,e22)
& h12(e10) = op2(e22,e22)
& h12(e13) = e22
& h12(e12) = e23 ),
inference(negpush_and_skolemize,[],[ax37]) ).
fof(ax37,axiom,
( h12(e12) = e23
& h12(e13) = e22
& h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22) ),
input ).
fof('ax22_$sk',plain,
( ( op1(e13,e13) = e13
& op1(e12,e12) = e13
& op1(e11,e11) = e13
& op1(e10,e10) = e13 )
| ( op1(e13,e13) = e12
& op1(e12,e12) = e12
& op1(e11,e11) = e12
& op1(e10,e10) = e12 )
| ( op1(e13,e13) = e11
& op1(e12,e12) = e11
& op1(e11,e11) = e11
& op1(e10,e10) = e11 )
| ( op1(e13,e13) = e10
& op1(e12,e12) = e10
& op1(e11,e11) = e10
& op1(e10,e10) = e10 ) ),
inference(negpush_and_skolemize,[],[ax22]) ).
fof(ax22,axiom,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
input ).
fof('ax19_$sk',plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(negpush_and_skolemize,[],[ax19]) ).
fof(ax19,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
input ).
fof('ax1_$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('ax17_$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,[],[ax17]) ).
fof(ax17,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('ax23_$sk',plain,
( ( op2(e23,e23) = e23
& op2(e22,e22) = e23
& op2(e21,e21) = e23
& op2(e20,e20) = e23 )
| ( op2(e23,e23) = e22
& op2(e22,e22) = e22
& op2(e21,e21) = e22
& op2(e20,e20) = e22 )
| ( op2(e23,e23) = e21
& op2(e22,e22) = e21
& op2(e21,e21) = e21
& op2(e20,e20) = e21 )
| ( op2(e23,e23) = e20
& op2(e22,e22) = e20
& op2(e21,e21) = e20
& op2(e20,e20) = e20 ) ),
inference(negpush_and_skolemize,[],[ax23]) ).
fof(ax23,axiom,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
input ).
fof('ax20_$sk',plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(negpush_and_skolemize,[],[ax20]) ).
fof(ax20,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
input ).
fof('ax18_$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,[],[ax18]) ).
fof(ax18,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('ax5_$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,[],[ax5]) ).
fof(ax5,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
input ).
fof('ax16_$sk',plain,
( inv2(e22) != inv2(e23)
& inv2(e21) != inv2(e23)
& inv2(e21) != inv2(e22)
& inv2(e20) != inv2(e23)
& inv2(e20) != inv2(e22)
& inv2(e20) != inv2(e21) ),
inference(negpush_and_skolemize,[],[ax16]) ).
fof(ax16,axiom,
( inv2(e20) != inv2(e21)
& inv2(e20) != inv2(e22)
& inv2(e20) != inv2(e23)
& inv2(e21) != inv2(e22)
& inv2(e21) != inv2(e23)
& inv2(e22) != inv2(e23) ),
input ).
fof('ax15_$sk',plain,
( ( inv2(e23) = e23
| inv2(e23) != e23 )
& ( inv2(e22) = e23
| inv2(e23) != e22 )
& ( inv2(e21) = e23
| inv2(e23) != e21 )
& ( inv2(e20) = e23
| inv2(e23) != e20 )
& ( inv2(e23) = e22
| inv2(e22) != e23 )
& ( inv2(e22) = e22
| inv2(e22) != e22 )
& ( inv2(e21) = e22
| inv2(e22) != e21 )
& ( inv2(e20) = e22
| inv2(e22) != e20 )
& ( inv2(e23) = e21
| inv2(e21) != e23 )
& ( inv2(e22) = e21
| inv2(e21) != e22 )
& ( inv2(e21) = e21
| inv2(e21) != e21 )
& ( inv2(e20) = e21
| inv2(e21) != e20 )
& ( inv2(e23) = e20
| inv2(e20) != e23 )
& ( inv2(e22) = e20
| inv2(e20) != e22 )
& ( inv2(e21) = e20
| inv2(e20) != e21 )
& ( inv2(e20) = e20
| inv2(e20) != e20 ) ),
inference(negpush_and_skolemize,[],[ax15]) ).
fof(ax15,axiom,
( ( inv2(e20) = e20
=> inv2(e20) = e20 )
& ( inv2(e20) = e21
=> inv2(e21) = e20 )
& ( inv2(e20) = e22
=> inv2(e22) = e20 )
& ( inv2(e20) = e23
=> inv2(e23) = e20 )
& ( inv2(e21) = e20
=> inv2(e20) = e21 )
& ( inv2(e21) = e21
=> inv2(e21) = e21 )
& ( inv2(e21) = e22
=> inv2(e22) = e21 )
& ( inv2(e21) = e23
=> inv2(e23) = e21 )
& ( inv2(e22) = e20
=> inv2(e20) = e22 )
& ( inv2(e22) = e21
=> inv2(e21) = e22 )
& ( inv2(e22) = e22
=> inv2(e22) = e22 )
& ( inv2(e22) = e23
=> inv2(e23) = e22 )
& ( inv2(e23) = e20
=> inv2(e20) = e23 )
& ( inv2(e23) = e21
=> inv2(e21) = e23 )
& ( inv2(e23) = e22
=> inv2(e22) = e23 )
& ( inv2(e23) = e23
=> inv2(e23) = e23 ) ),
input ).
fof('ax8_$sk',plain,
( ( inv2(e23) = e23
| inv2(e23) = e22
| inv2(e23) = e21
| inv2(e23) = e20 )
& ( inv2(e22) = e23
| inv2(e22) = e22
| inv2(e22) = e21
| inv2(e22) = e20 )
& ( inv2(e21) = e23
| inv2(e21) = e22
| inv2(e21) = e21
| inv2(e21) = e20 )
& ( inv2(e20) = e23
| inv2(e20) = e22
| inv2(e20) = e21
| inv2(e20) = e20 )
& op2(inv2(e23),e23) = unit2
& op2(e23,inv2(e23)) = unit2
& op2(inv2(e22),e22) = unit2
& op2(e22,inv2(e22)) = unit2
& op2(inv2(e21),e21) = unit2
& op2(e21,inv2(e21)) = unit2
& op2(inv2(e20),e20) = unit2
& op2(e20,inv2(e20)) = unit2 ),
inference(negpush_and_skolemize,[],[ax8]) ).
fof(ax8,axiom,
( op2(e20,inv2(e20)) = unit2
& op2(inv2(e20),e20) = unit2
& op2(e21,inv2(e21)) = unit2
& op2(inv2(e21),e21) = unit2
& op2(e22,inv2(e22)) = unit2
& op2(inv2(e22),e22) = unit2
& op2(e23,inv2(e23)) = unit2
& op2(inv2(e23),e23) = unit2
& ( inv2(e20) = e20
| inv2(e20) = e21
| inv2(e20) = e22
| inv2(e20) = e23 )
& ( inv2(e21) = e20
| inv2(e21) = e21
| inv2(e21) = e22
| inv2(e21) = e23 )
& ( inv2(e22) = e20
| inv2(e22) = e21
| inv2(e22) = e22
| inv2(e22) = e23 )
& ( inv2(e23) = e20
| inv2(e23) = e21
| inv2(e23) = e22
| inv2(e23) = e23 ) ),
input ).
fof('ax7_$sk',plain,
( ( unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 )
& op2(e23,unit2) = e23
& op2(unit2,e23) = e23
& op2(e22,unit2) = e22
& op2(unit2,e22) = e22
& op2(e21,unit2) = e21
& op2(unit2,e21) = e21
& op2(e20,unit2) = e20
& op2(unit2,e20) = e20 ),
inference(negpush_and_skolemize,[],[ax7]) ).
fof(ax7,axiom,
( op2(unit2,e20) = e20
& op2(e20,unit2) = e20
& op2(unit2,e21) = e21
& op2(e21,unit2) = e21
& op2(unit2,e22) = e22
& op2(e22,unit2) = e22
& op2(unit2,e23) = e23
& op2(e23,unit2) = e23
& ( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23 ) ),
input ).
cnf('1',plain,
( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| h9(e10) != e20
| ~ $pr($df134) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('2',plain,
( h9(e12) != e22
| ~ $pr($df170)
| $pr($df134)
| $pr($df133) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('3',plain,
( h9(e13) != e23
| ~ $pr($df169) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('4',plain,
h9(e13) = e23,
inference(cnf_transformation,[],['ax34_$sk']) ).
cnf('5',plain,
~ $pr($df169),
inference(simplify,[],['3','4']) ).
cnf('6',plain,
( $pr($df170)
| $pr($df169) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('7',plain,
$pr($df170),
inference(resolution,[],['5','6']) ).
cnf('8',plain,
h9(e12) = e22,
inference(cnf_transformation,[],['ax34_$sk']) ).
cnf('9',plain,
( $pr($df134)
| $pr($df133) ),
inference(simplify,[then_simplify],['2','7','8']) ).
cnf('10',plain,
( h9(e11) != e21
| ~ $pr($df133) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('11',plain,
h9(e11) = op2(e22,e23),
inference(cnf_transformation,[],['ax34_$sk']) ).
cnf('12',plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[],['ax25_$sk']) ).
cnf('13',plain,
h9(e11) = e21,
inference(simplify,[],['11','12']) ).
cnf('14',plain,
~ $pr($df133),
inference(simplify,[],['10','13']) ).
cnf('15',plain,
$pr($df134),
inference(resolution,[],['9','14']) ).
cnf('16',plain,
h9(e10) = op2(e23,e23),
inference(cnf_transformation,[],['ax34_$sk']) ).
cnf('17',plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],['ax25_$sk']) ).
cnf('18',plain,
h9(e10) = e20,
inference(simplify,[],['16','17']) ).
cnf('19',plain,
h7(e10) = op2(e20,e20),
inference(cnf_transformation,[],['ax32_$sk']) ).
cnf('20',plain,
h10(e10) = op2(e20,e20),
inference(cnf_transformation,[],['ax35_$sk']) ).
cnf('21',plain,
h10(e10) = h7(e10),
inference(simplify,[],['20','19']) ).
cnf('22',plain,
h1(e11) = op2(e20,e21),
inference(cnf_transformation,[],['ax26_$sk']) ).
cnf('23',plain,
h4(e11) = op2(e21,e20),
inference(cnf_transformation,[],['ax29_$sk']) ).
cnf('24',plain,
h2(e11) = op2(e20,e22),
inference(cnf_transformation,[],['ax27_$sk']) ).
cnf('25',plain,
h8(e10) = op2(e21,e21),
inference(cnf_transformation,[],['ax33_$sk']) ).
cnf('26',plain,
h11(e10) = op2(e21,e21),
inference(cnf_transformation,[],['ax36_$sk']) ).
cnf('27',plain,
h11(e10) = h8(e10),
inference(simplify,[],['26','25']) ).
cnf('28',plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('29',plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],['ax24_$sk']) ).
cnf('30',plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],['ax24_$sk']) ).
cnf('31',plain,
op1(e11,e13) = op1(e12,e10),
inference(simplify,[then_simplify],['28','29','30']) ).
cnf('32',plain,
h7(e11) = op2(e22,e20),
inference(cnf_transformation,[],['ax32_$sk']) ).
cnf('33',plain,
h3(e11) = op2(e20,e23),
inference(cnf_transformation,[],['ax28_$sk']) ).
cnf('34',plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('35',plain,
h10(e11) = op2(e23,e20),
inference(cnf_transformation,[],['ax35_$sk']) ).
cnf('36',plain,
h3(e11) = h10(e11),
inference(simplify,[then_simplify],['34','17','33','17','35']) ).
cnf('37',plain,
h5(e11) = op2(e21,e22),
inference(cnf_transformation,[],['ax30_$sk']) ).
cnf('38',plain,
h8(e11) = op2(e22,e21),
inference(cnf_transformation,[],['ax33_$sk']) ).
cnf('39',plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('40',plain,
op1(e10,e13) = op1(e13,e10),
inference(simplify,[then_simplify],['39','30','30']) ).
cnf('41',plain,
h6(e11) = op2(e21,e23),
inference(cnf_transformation,[],['ax31_$sk']) ).
cnf('42',plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('43',plain,
h6(e11) = h7(e11),
inference(simplify,[then_simplify],['42','12','41','17','32']) ).
cnf('44',plain,
h12(e10) = op2(e22,e22),
inference(cnf_transformation,[],['ax37_$sk']) ).
cnf('45',plain,
h11(e11) = op2(e23,e21),
inference(cnf_transformation,[],['ax36_$sk']) ).
cnf('46',plain,
h12(e11) = op2(e23,e22),
inference(cnf_transformation,[],['ax37_$sk']) ).
cnf('47',plain,
( h9(op1(e10,e10)) != h10(e10)
| h9(op1(e10,e11)) != h1(e11)
| h9(op1(e11,e10)) != h4(e11)
| h9(op1(e10,e12)) != h2(e11)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e11,e13)) != h7(e11)
| h9(op1(e10,e13)) != h10(e11)
| h9(op1(e11,e12)) != h5(e11)
| h9(op1(e12,e11)) != h8(e11)
| h9(op1(e10,e13)) != h10(e11)
| h9(op1(e11,e13)) != h7(e11)
| h9(op1(e12,e12)) != h12(e10)
| h9(op1(e13,e11)) != h11(e11)
| h9(op1(e13,e12)) != h12(e11) ),
inference(simplify,[then_simplify],['1','15','18','18','19','21','18','13','22','13','18','23','18','8','24','13','13','25','27','31','8','18','32','18','4','33','36','13','8','37','8','13','38','40','4','18','35','13','4','41','43','8','8','44','4','13','45','29','13','8','4','12','4','8','46','30','18','4','4','17','18']) ).
cnf('48',plain,
( h9(op1(e12,e11)) != h8(e11)
| h9(op1(e11,e10)) != h4(e11)
| h9(op1(e11,e13)) != h7(e11)
| h9(op1(e11,e12)) != h5(e11)
| h9(op1(e10,e11)) != h1(e11)
| h9(op1(e10,e12)) != h2(e11)
| h9(op1(e10,e10)) != h10(e10)
| h9(op1(e11,e11)) != h11(e10)
| h9(op1(e10,e13)) != h10(e11)
| h9(op1(e12,e12)) != h12(e10)
| h9(op1(e13,e11)) != h11(e11)
| h9(op1(e13,e12)) != h12(e11) ),
inference(factorization,[],['47']) ).
cnf('49',plain,
( ~ $pr($df556)
| op1(e10,e10) = e10
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('50',plain,
( op1(e13,e13) = e13
| $pr($df556)
| $pr($df555) ),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('51',plain,
e10 != e13,
inference(cnf_transformation,[],['ax19_$sk']) ).
cnf('52',plain,
( $pr($df556)
| $pr($df555) ),
inference(simplify,[then_simplify],['50','51','30']) ).
cnf('53',plain,
( ~ $pr($df555)
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('54',plain,
e10 != e12,
inference(cnf_transformation,[],['ax19_$sk']) ).
cnf('55',plain,
~ $pr($df555),
inference(simplify,[then_simplify],['53','54','30']) ).
cnf('56',plain,
$pr($df556),
inference(resolution,[],['52','55']) ).
cnf('57',plain,
e10 != e11,
inference(cnf_transformation,[],['ax19_$sk']) ).
cnf('58',plain,
op1(e10,e10) = e10,
inference(simplify,[then_simplify],['49','56','57','30']) ).
cnf('59',plain,
( ~ $pr($df556)
| op1(e10,e10) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('60',plain,
( op1(e10,e10) = e11
| op1(e12,e12) = e10 ),
inference(simplify,[],['59','56']) ).
cnf('61',plain,
op1(e12,e12) = e10,
inference(paramodulation,[then_simplify],['58','60','57']) ).
cnf('62',plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('63',plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(simplify,[],['62','29']) ).
cnf('64',plain,
op1(e10,e13) = op1(e12,e11),
inference(paramodulation,[],['61','63']) ).
cnf('65',plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('66',plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(simplify,[then_simplify],['65','40','40','40','40']) ).
cnf('67',plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('68',plain,
e10 != op1(e10,e13),
inference(paramodulation,[],['58','67']) ).
cnf('69',plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('70',plain,
op1(e12,e11) != e11,
inference(simplify,[],['69','29']) ).
cnf('71',plain,
op1(e10,e13) != e11,
inference(paramodulation,[],['64','70']) ).
cnf('72',plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[],['ax1_$sk']) ).
cnf('73',plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('74',plain,
op1(op1(e12,e12),e12) = op1(e12,e10),
inference(paramodulation,[],['61','73']) ).
cnf('75',plain,
op1(e10,e12) = op1(e11,e13),
inference(simplify,[then_simplify],['74','61','31']) ).
cnf('76',plain,
( ~ $pr($df556)
| op1(e10,e10) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[],['ax22_$sk']) ).
cnf('77',plain,
( op1(e10,e10) = e11
| op1(e11,e11) = e10 ),
inference(simplify,[],['76','56']) ).
cnf('78',plain,
op1(e11,e11) = e10,
inference(paramodulation,[then_simplify],['58','77','57']) ).
cnf('79',plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('80',plain,
op1(e10,e13) = op1(e11,op1(e11,e13)),
inference(paramodulation,[],['78','79']) ).
cnf('81',plain,
op1(e10,e13) = op1(e11,op1(e10,e12)),
inference(paramodulation,[],['75','80']) ).
cnf('82',plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('83',plain,
op1(e10,e12) != e10,
inference(paramodulation,[],['61','82']) ).
cnf('84',plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('85',plain,
op1(e11,e13) != e11,
inference(simplify,[],['84','29']) ).
cnf('86',plain,
op1(e10,e12) != e11,
inference(paramodulation,[],['75','85']) ).
cnf('87',plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('88',plain,
op1(e10,e12) = e12,
inference(paramodulation,[then_simplify],['72','81','83','86','87']) ).
cnf('89',plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('90',plain,
op1(op1(e10,e12),e13) = op1(e10,e11),
inference(simplify,[],['89','29']) ).
cnf('91',plain,
op1(e12,e13) = op1(e10,e11),
inference(paramodulation,[],['88','90']) ).
cnf('92',plain,
e11 = op1(e10,e11),
inference(simplify,[],['91','29']) ).
cnf('93',plain,
op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('94',plain,
op1(op1(e10,e13),e11) = op1(e13,op1(e10,e11)),
inference(paramodulation,[],['40','93']) ).
cnf('95',plain,
op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('96',plain,
op1(e10,op1(e13,e11)) = op1(e13,op1(e10,e11)),
inference(simplify,[],['94','95']) ).
cnf('97',plain,
op1(e10,op1(e13,e11)) = op1(e13,e11),
inference(paramodulation,[],['92','96']) ).
cnf('98',plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('99',plain,
op1(op1(e12,e11),e11) = op1(e12,e10),
inference(paramodulation,[],['78','98']) ).
cnf('100',plain,
op1(e10,op1(e13,e11)) = op1(e11,e13),
inference(simplify,[then_simplify],['99','64','95','31']) ).
cnf('101',plain,
e12 = op1(e13,e11),
inference(simplify,[then_simplify],['97','100','75','88']) ).
cnf('102',plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],['ax17_$sk']) ).
cnf('103',plain,
op1(e10,e13) != op1(e13,e11),
inference(simplify,[],['102','40']) ).
cnf('104',plain,
op1(e10,e13) != e12,
inference(paramodulation,[],['101','103']) ).
cnf('105',plain,
op1(e10,e13) = e13,
inference(paramodulation,[then_simplify],['66','68','71','104']) ).
cnf('106',plain,
( op2(e23,e23) = e23
| $pr($df530)
| $pr($df529) ),
inference(cnf_transformation,[],['ax23_$sk']) ).
cnf('107',plain,
e20 != e23,
inference(cnf_transformation,[],['ax20_$sk']) ).
cnf('108',plain,
( $pr($df530)
| $pr($df529) ),
inference(simplify,[then_simplify],['106','107','17']) ).
cnf('109',plain,
( ~ $pr($df529)
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[],['ax23_$sk']) ).
cnf('110',plain,
e20 != e22,
inference(cnf_transformation,[],['ax20_$sk']) ).
cnf('111',plain,
~ $pr($df529),
inference(simplify,[then_simplify],['109','110','17']) ).
cnf('112',plain,
$pr($df530),
inference(resolution,[],['108','111']) ).
cnf('113',plain,
( ~ $pr($df530)
| op2(e22,e22) = e20
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[],['ax23_$sk']) ).
cnf('114',plain,
( ~ $pr($df530)
| h12(e10) = e20
| h12(e10) = e21 ),
inference(simplify,[then_simplify],['113','44','44']) ).
cnf('115',plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('116',plain,
h12(e10) != e21,
inference(simplify,[then_simplify],['115','44','12']) ).
cnf('117',plain,
( ~ $pr($df530)
| h12(e10) = e20 ),
inference(resolution,[],['114','116']) ).
cnf('118',plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('119',plain,
op2(h12(e10),e23) = h8(e11),
inference(simplify,[then_simplify],['118','44','12','38']) ).
cnf('120',plain,
( ~ $pr($df530)
| op2(e20,e23) = h8(e11) ),
inference(paramodulation,[],['117','119']) ).
cnf('121',plain,
( ~ $pr($df530)
| h10(e11) = h8(e11) ),
inference(simplify,[then_simplify],['120','33','36']) ).
cnf('122',plain,
( ~ $pr($df530)
| op2(h12(e10),e23) = h10(e11) ),
inference(paramodulation,[],['121','119']) ).
cnf('123',plain,
( ~ $pr($df530)
| h8(e11) = h10(e11) ),
inference(simplify,[],['122','119']) ).
cnf('124',plain,
h8(e11) = h10(e11),
inference(resolution,[],['112','123']) ).
cnf('125',plain,
( ~ $pr($df530)
| op2(e20,e20) = e20
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[],['ax23_$sk']) ).
cnf('126',plain,
( ~ $pr($df530)
| h10(e10) = e20
| h12(e10) = e21 ),
inference(simplify,[then_simplify],['125','19','21','44']) ).
cnf('127',plain,
( ~ $pr($df530)
| h10(e10) = e20 ),
inference(resolution,[],['126','116']) ).
cnf('128',plain,
( ~ $pr($df530)
| e20 = h7(e10) ),
inference(paramodulation,[],['127','21']) ).
cnf('129',plain,
( ~ $pr($df530)
| e20 = h10(e10) ),
inference(simplify,[],['128','21']) ).
cnf('130',plain,
e20 = h10(e10),
inference(resolution,[],['112','129']) ).
cnf('131',plain,
( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23
| $pr($df257) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('132',plain,
e22 != e23,
inference(cnf_transformation,[],['ax20_$sk']) ).
cnf('133',plain,
h7(e12) = e22,
inference(cnf_transformation,[],['ax32_$sk']) ).
cnf('134',plain,
h7(e13) = e20,
inference(cnf_transformation,[],['ax32_$sk']) ).
cnf('135',plain,
( h10(e10) = e23
| h7(e11) = e23
| $pr($df257) ),
inference(simplify,[then_simplify],['131','132','107','21','133','134']) ).
cnf('136',plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('137',plain,
op2(h6(e11),e23) = h4(e11),
inference(simplify,[then_simplify],['136','41','17','23']) ).
cnf('138',plain,
op2(h7(e11),e23) = h4(e11),
inference(paramodulation,[],['43','137']) ).
cnf('139',plain,
( op2(e23,e23) = h4(e11)
| h10(e10) = e23
| $pr($df257) ),
inference(paramodulation,[],['135','138']) ).
cnf('140',plain,
( e20 = h4(e11)
| h10(e10) = e23
| $pr($df257) ),
inference(simplify,[],['139','17']) ).
cnf('141',plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('142',plain,
h4(e11) != h11(e10),
inference(simplify,[then_simplify],['141','23','25','27']) ).
cnf('143',plain,
( e20 != h11(e10)
| h10(e10) = e23
| $pr($df257) ),
inference(paramodulation,[],['140','142']) ).
cnf('144',plain,
( e20 != h11(e10)
| e23 = h7(e10)
| $pr($df257) ),
inference(paramodulation,[],['143','21']) ).
cnf('145',plain,
( e20 != h11(e10)
| e23 = h10(e10)
| $pr($df257) ),
inference(simplify,[],['144','21']) ).
cnf('146',plain,
( ~ $pr($df530)
| op2(e21,e21) = e20
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[],['ax23_$sk']) ).
cnf('147',plain,
( ~ $pr($df530)
| h11(e10) = e20
| h12(e10) = e21 ),
inference(simplify,[then_simplify],['146','25','27','44']) ).
cnf('148',plain,
( ~ $pr($df530)
| h11(e10) = e20 ),
inference(resolution,[],['147','116']) ).
cnf('149',plain,
( ~ $pr($df530)
| e20 = h8(e10) ),
inference(paramodulation,[],['148','27']) ).
cnf('150',plain,
( ~ $pr($df530)
| e20 = h11(e10) ),
inference(simplify,[],['149','27']) ).
cnf('151',plain,
e20 = h11(e10),
inference(resolution,[],['112','150']) ).
cnf('152',plain,
e20 = h11(e10),
inference(resolution,[],['112','150']) ).
cnf('153',plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('154',plain,
( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| $pr($df397) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('155',plain,
e20 != e21,
inference(cnf_transformation,[],['ax20_$sk']) ).
cnf('156',plain,
h3(e10) = op2(e23,e23),
inference(cnf_transformation,[],['ax28_$sk']) ).
cnf('157',plain,
h3(e10) = e20,
inference(simplify,[],['156','17']) ).
cnf('158',plain,
h3(e12) = e20,
inference(cnf_transformation,[],['ax28_$sk']) ).
cnf('159',plain,
h3(e13) = e23,
inference(cnf_transformation,[],['ax28_$sk']) ).
cnf('160',plain,
( h10(e11) = e21
| e23 = e21
| $pr($df397) ),
inference(simplify,[then_simplify],['154','155','155','157','36','158','159']) ).
cnf('161',plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('162',plain,
h10(e11) != e21,
inference(simplify,[then_simplify],['161','33','36','12']) ).
cnf('163',plain,
( e23 = e21
| $pr($df397) ),
inference(resolution,[],['160','162']) ).
cnf('164',plain,
inv2(e21) != inv2(e23),
inference(cnf_transformation,[],['ax16_$sk']) ).
cnf('165',plain,
$pr($df397),
inference(paramodulation,[],['163','164']) ).
cnf('166',plain,
( h3(e11) != e21
| ~ $pr($df397) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('167',plain,
( h10(e11) != e21
| ~ $pr($df397) ),
inference(simplify,[],['166','36']) ).
cnf('168',plain,
h10(e11) != e21,
inference(resolution,[],['165','167']) ).
cnf('169',plain,
( h10(e11) = e20
| h10(e11) = e22
| h10(e11) = e23 ),
inference(simplify,[then_simplify],['153','168','35','35','35','35']) ).
cnf('170',plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('171',plain,
h10(e11) != e20,
inference(simplify,[then_simplify],['170','33','36','17']) ).
cnf('172',plain,
( h10(e11) = e22
| h10(e11) = e23 ),
inference(resolution,[],['169','171']) ).
cnf('173',plain,
( e23 != e20
| h10(e11) = e22 ),
inference(paramodulation,[],['172','171']) ).
cnf('174',plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('175',plain,
h4(e11) = op2(e22,h10(e11)),
inference(simplify,[then_simplify],['174','12','23','35']) ).
cnf('176',plain,
( e23 != e20
| h4(e11) = op2(e22,e22) ),
inference(paramodulation,[],['173','175']) ).
cnf('177',plain,
( e23 != e20
| h4(e11) = h12(e10) ),
inference(simplify,[],['176','44']) ).
cnf('178',plain,
( h12(e10) != h11(e10)
| e23 != e20 ),
inference(paramodulation,[],['177','142']) ).
cnf('179',plain,
h12(e10) = e20,
inference(resolution,[],['112','117']) ).
cnf('180',plain,
e23 != e20,
inference(paramodulation,[then_simplify],['152','178','179']) ).
cnf('181',plain,
$pr($df257),
inference(paramodulation,[then_simplify],['130','145','151','180']) ).
cnf('182',plain,
( h7(e11) != e23
| ~ $pr($df257) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('183',plain,
h7(e11) != e23,
inference(resolution,[],['181','182']) ).
cnf('184',plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('185',plain,
( h7(e11) = e20
| h7(e11) = e21
| h7(e11) = e22
| h7(e11) = e23 ),
inference(simplify,[then_simplify],['184','32','32','32','32']) ).
cnf('186',plain,
( ~ $pr($df530)
| e20 = op2(e22,e22) ),
inference(paramodulation,[],['117','44']) ).
cnf('187',plain,
( ~ $pr($df530)
| e20 = h12(e10) ),
inference(simplify,[],['186','44']) ).
cnf('188',plain,
e20 = h12(e10),
inference(resolution,[],['112','187']) ).
cnf('189',plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('190',plain,
h7(e11) != h12(e10),
inference(simplify,[then_simplify],['189','32','44']) ).
cnf('191',plain,
h7(e11) != e20,
inference(paramodulation,[],['188','190']) ).
cnf('192',plain,
( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21
| $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('193',plain,
( h10(e10) = e21
| h7(e11) = e21
| e22 = e21
| $pr($df221) ),
inference(simplify,[then_simplify],['192','155','21','133','134']) ).
cnf('194',plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('195',plain,
h7(e11) != e21,
inference(simplify,[then_simplify],['194','41','43','12']) ).
cnf('196',plain,
( h10(e10) = e21
| e22 = e21
| $pr($df221) ),
inference(resolution,[],['193','195']) ).
cnf('197',plain,
inv2(e21) != inv2(e22),
inference(cnf_transformation,[],['ax16_$sk']) ).
cnf('198',plain,
( h10(e10) = e21
| $pr($df221) ),
inference(paramodulation,[],['196','197']) ).
cnf('199',plain,
$pr($df221),
inference(paramodulation,[then_simplify],['130','198','155']) ).
cnf('200',plain,
( h7(e11) != e21
| ~ $pr($df221) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('201',plain,
h7(e11) != e21,
inference(resolution,[],['199','200']) ).
cnf('202',plain,
h7(e11) = e22,
inference(resolution,[then_simplify],['183','185','191','201']) ).
cnf('203',plain,
( e23 = op2(e23,e20)
| h10(e11) = e22 ),
inference(paramodulation,[],['172','35']) ).
cnf('204',plain,
( e23 = h10(e11)
| h10(e11) = e22 ),
inference(simplify,[],['203','35']) ).
cnf('205',plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('206',plain,
h7(e11) != h10(e11),
inference(simplify,[then_simplify],['205','32','35']) ).
cnf('207',plain,
( h7(e11) != e22
| e23 = h10(e11) ),
inference(paramodulation,[],['204','206']) ).
cnf('208',plain,
e23 = h10(e11),
inference(resolution,[],['202','207']) ).
cnf('209',plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('210',plain,
op1(op1(e11,e11),e11) = op1(e11,e10),
inference(paramodulation,[],['78','209']) ).
cnf('211',plain,
op1(e10,e11) = op1(e11,e10),
inference(simplify,[],['210','78']) ).
cnf('212',plain,
op2(e22,e23) = h4(e11),
inference(paramodulation,[],['202','138']) ).
cnf('213',plain,
e21 = h4(e11),
inference(simplify,[],['212','12']) ).
cnf('214',plain,
op1(e10,e13) = op1(e11,e12),
inference(paramodulation,[],['88','81']) ).
cnf('215',plain,
op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('216',plain,
op2(h7(e11),e21) = op2(e22,h1(e11)),
inference(simplify,[then_simplify],['215','32','22']) ).
cnf('217',plain,
op2(e22,e21) = op2(e22,h1(e11)),
inference(paramodulation,[],['202','216']) ).
cnf('218',plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('219',plain,
op2(h6(e11),e21) = op2(e21,h11(e11)),
inference(simplify,[then_simplify],['218','41','45']) ).
cnf('220',plain,
op2(h7(e11),e21) = op2(e21,h11(e11)),
inference(paramodulation,[],['43','219']) ).
cnf('221',plain,
op2(e22,h1(e11)) = op2(e21,h11(e11)),
inference(simplify,[],['220','216']) ).
cnf('222',plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('223',plain,
op2(h8(e11),e21) = op2(e22,h11(e10)),
inference(simplify,[then_simplify],['222','38','25','27']) ).
cnf('224',plain,
op2(h8(e11),e21) = op2(e22,e20),
inference(paramodulation,[],['152','223']) ).
cnf('225',plain,
h11(e11) = e22,
inference(simplify,[then_simplify],['224','124','208','45','32','202']) ).
cnf('226',plain,
e23 = h5(e11),
inference(simplify,[then_simplify],['217','38','124','208','221','225','37']) ).
cnf('227',plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('228',plain,
h1(e11) = op2(e23,h11(e11)),
inference(simplify,[then_simplify],['227','17','22','45']) ).
cnf('229',plain,
h1(e11) = op2(e23,e22),
inference(paramodulation,[],['225','228']) ).
cnf('230',plain,
h1(e11) = h12(e11),
inference(simplify,[],['229','46']) ).
cnf('231',plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[],['ax5_$sk']) ).
cnf('232',plain,
( h1(e11) = e20
| h1(e11) = e21
| h1(e11) = e22
| h1(e11) = e23 ),
inference(simplify,[then_simplify],['231','22','22','22','22']) ).
cnf('233',plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('234',plain,
h1(e11) != h11(e10),
inference(simplify,[then_simplify],['233','22','25','27']) ).
cnf('235',plain,
( h1(e11) != e20
| ~ $pr($df530) ),
inference(paramodulation,[],['148','234']) ).
cnf('236',plain,
h1(e11) != e20,
inference(resolution,[],['112','235']) ).
cnf('237',plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('238',plain,
h1(e11) != h11(e11),
inference(simplify,[then_simplify],['237','22','45']) ).
cnf('239',plain,
h1(e11) != e22,
inference(paramodulation,[],['225','238']) ).
cnf('240',plain,
( h7(e11) != e22
| h10(e11) = e23 ),
inference(paramodulation,[],['172','206']) ).
cnf('241',plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('242',plain,
h1(e11) != h10(e11),
inference(simplify,[then_simplify],['241','22','33','36']) ).
cnf('243',plain,
( h7(e11) != e22
| h1(e11) != e23 ),
inference(paramodulation,[],['240','242']) ).
cnf('244',plain,
h1(e11) != e23,
inference(resolution,[],['202','243']) ).
cnf('245',plain,
h12(e11) = e21,
inference(paramodulation,[then_simplify],['230','232','236','239','244']) ).
cnf('246',plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('247',plain,
h2(e11) = op2(e23,h12(e11)),
inference(simplify,[then_simplify],['246','17','24','46']) ).
cnf('248',plain,
h2(e11) = op2(e23,e21),
inference(paramodulation,[],['245','247']) ).
cnf('249',plain,
h2(e11) = e22,
inference(simplify,[then_simplify],['248','45','225']) ).
cnf('250',plain,
( inv2(e23) != e20
| inv2(e20) = e23 ),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('251',plain,
op2(e20,inv2(e20)) = unit2,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('252',plain,
( inv2(e23) != e20
| op2(e20,e23) = unit2 ),
inference(paramodulation,[],['250','251']) ).
cnf('253',plain,
( inv2(e23) != e20
| h10(e11) = unit2 ),
inference(simplify,[then_simplify],['252','33','36']) ).
cnf('254',plain,
( inv2(e23) != e20
| h4(e11) = op2(e22,unit2) ),
inference(paramodulation,[],['253','175']) ).
cnf('255',plain,
e21 != e22,
inference(cnf_transformation,[],['ax20_$sk']) ).
cnf('256',plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('257',plain,
inv2(e23) != e20,
inference(simplify,[then_simplify],['254','255','213','256']) ).
cnf('258',plain,
( inv2(e23) = e20
| inv2(e23) = e21
| inv2(e23) = e22
| inv2(e23) = e23 ),
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('259',plain,
( inv2(e23) != e21
| inv2(e21) = e23 ),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('260',plain,
op2(e21,inv2(e21)) = unit2,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('261',plain,
( inv2(e23) != e21
| op2(e21,e23) = unit2 ),
inference(paramodulation,[],['259','260']) ).
cnf('262',plain,
( inv2(e23) != e21
| h7(e11) = unit2 ),
inference(simplify,[then_simplify],['261','41','43']) ).
cnf('263',plain,
( inv2(e23) != e21
| op2(unit2,e23) = h4(e11) ),
inference(paramodulation,[],['262','138']) ).
cnf('264',plain,
( h3(e13) != e21
| ~ $pr($df397) ),
inference(cnf_transformation,[],['co1_$sk']) ).
cnf('265',plain,
( e23 != e21
| ~ $pr($df397) ),
inference(simplify,[],['264','159']) ).
cnf('266',plain,
e23 != e21,
inference(resolution,[],['165','265']) ).
cnf('267',plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[],['ax7_$sk']) ).
cnf('268',plain,
inv2(e23) != e21,
inference(simplify,[then_simplify],['263','266','267','213']) ).
cnf('269',plain,
( inv2(e21) != e23
| inv2(e23) = e21 ),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('270',plain,
inv2(e21) != e23,
inference(resolution,[],['268','269']) ).
cnf('271',plain,
inv2(e23) != e21,
inference(resolution,[],['270','259']) ).
cnf('272',plain,
( inv2(e23) != e22
| inv2(e22) = e23 ),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('273',plain,
op2(inv2(e22),e22) = unit2,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('274',plain,
( inv2(e23) != e22
| op2(e23,e22) = unit2 ),
inference(paramodulation,[],['272','273']) ).
cnf('275',plain,
( inv2(e23) != e22
| h12(e11) = unit2 ),
inference(simplify,[],['274','46']) ).
cnf('276',plain,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
inference(cnf_transformation,[],['ax6_$sk']) ).
cnf('277',plain,
h5(e11) = op2(e22,h12(e11)),
inference(simplify,[then_simplify],['276','12','37','46']) ).
cnf('278',plain,
( inv2(e23) != e22
| h5(e11) = op2(e22,unit2) ),
inference(paramodulation,[],['275','277']) ).
cnf('279',plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],['ax18_$sk']) ).
cnf('280',plain,
h10(e11) != h7(e11),
inference(simplify,[then_simplify],['279','33','36','41','43']) ).
cnf('281',plain,
( h7(e11) != e22
| e23 != h7(e11) ),
inference(paramodulation,[],['240','280']) ).
cnf('282',plain,
h7(e11) = e22,
inference(resolution,[then_simplify],['183','185','191','201']) ).
cnf('283',plain,
e23 != e22,
inference(paramodulation,[then_simplify],['202','281','282']) ).
cnf('284',plain,
inv2(e23) != e22,
inference(simplify,[then_simplify],['278','283','226','256']) ).
cnf('285',plain,
( inv2(e22) != e23
| inv2(e23) = e22 ),
inference(cnf_transformation,[],['ax15_$sk']) ).
cnf('286',plain,
inv2(e22) != e23,
inference(resolution,[],['284','285']) ).
cnf('287',plain,
inv2(e23) != e22,
inference(resolution,[],['286','272']) ).
cnf('288',plain,
inv2(e23) = e23,
inference(resolution,[then_simplify],['257','258','271','287']) ).
cnf('289',plain,
op2(e23,inv2(e23)) = unit2,
inference(cnf_transformation,[],['ax8_$sk']) ).
cnf('290',plain,
op2(e23,e23) = unit2,
inference(paramodulation,[],['288','289']) ).
cnf('291',plain,
e20 = unit2,
inference(simplify,[],['290','17']) ).
cnf('292',plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(cnf_transformation,[],['ax2_$sk']) ).
cnf('293',plain,
op1(e10,e11) = op1(e13,op1(e13,e11)),
inference(simplify,[],['292','30']) ).
cnf('294',plain,
op1(e10,e11) = op1(e13,e12),
inference(paramodulation,[],['101','293']) ).
cnf('295',plain,
e11 = op1(e13,e12),
inference(simplify,[],['294','92']) ).
cnf('296',plain,
$false,
inference(simplify,[then_simplify],['48','64','105','4','124','208','211','92','13','213','75','88','8','202','214','105','4','226','92','13','230','245','88','8','249','58','18','291','130','291','78','18','291','152','291','105','4','208','61','18','291','188','291','101','8','225','295','13','245']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : ALG015+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.15 % Command : gkc %s
% 0.15/0.37 % Computer : n025.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 04:06:54 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.48
% 0.22/0.48 input clause set summed statistics:
% 0.22/0.48 ----------------------------------
% 0.22/0.48 in_clause_count: 3728
% 0.22/0.48 in_rule_clause_count: 3728
% 0.22/0.48 in_fact_clause_count: 0
% 0.22/0.48 in_answer_clause_count: 0
% 0.22/0.48 in_ground_clause_count: 3728
% 0.22/0.48 in_unit_clause_count: 358
% 0.22/0.48 in_horn_clause_count: 2320
% 0.22/0.48 in_pos_clause_count: 558
% 0.22/0.48 in_neg_clause_count: 1164
% 0.22/0.48 in_poseq_clause_count: 1464
% 0.22/0.48 in_negeq_clause_count: 730
% 0.22/0.48 in_unitposeq_clause_count: 222
% 0.22/0.48 in_chain_clause_count: 0
% 0.22/0.48 in_min_length: 1
% 0.22/0.48 in_max_length: 18
% 0.22/0.48 in_min_depth: 1
% 0.22/0.48 in_max_depth: 3
% 0.22/0.48 in_min_size: 3
% 0.22/0.48 in_max_size: 166
% 0.22/0.48 in_min_vars: 0
% 0.22/0.48 in_max_vars: 0
% 0.22/0.48 in_extaxiom_count: 0
% 0.22/0.48 in_axiom_count: 668
% 0.22/0.48 in_assumption_count: 0
% 0.22/0.48 in_goal_count: 3060
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% 0.22/0.48
% 0.22/0.48 auto guide:
% 0.22/0.48 -----------
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% 0.22/0.48 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.48 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.22/0.48 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.48 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.48 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.48
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.48 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.22/0.48
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1}
% 0.22/0.48
% 0.22/0.48 ]}
% 0.22/0.48
% 0.22/0.49
% 0.22/0.49 **** run 1 fork 0 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 0.22/0.49
% 0.22/0.49 **** run 2 fork 1 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 0.22/0.49
% 0.22/0.49 **** run 3 fork 2 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.49
% 0.22/0.49 **** run 4 fork 3 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.49
% 0.22/0.49 **** run 5 fork 4 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.49
% 0.22/0.49 **** run 7 fork 6 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.22/0.49
% 0.22/0.49 **** run 6 fork 5 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.22/0.50
% 0.22/0.50 **** run 8 fork 7 starts with strategy
% 0.22/0.50 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.63
% 0.22/0.63 fork 5: search finished without proof.
% 0.22/0.63
% 0.22/0.63 fork 6: search finished without proof.
% 0.22/0.63
% 0.22/0.63 fork 0: search finished without proof.
% 0.22/0.63
% 0.22/0.63 fork 1: search finished without proof.
% 0.22/0.64
% 0.22/0.64
% 0.22/0.64 fork 3: search terminated without proof.
% 0.22/0.65
% 0.22/0.65 **** run 14 fork 5 starts with strategy
% 0.22/0.65 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 0.22/0.66
% 0.22/0.66 **** run 9 fork 0 starts with strategy
% 0.22/0.66 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.22/0.66
% 0.22/0.66 **** run 10 fork 1 starts with strategy
% 0.22/0.66 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.22/0.66
% 0.22/0.66 **** run 12 fork 3 starts with strategy
% 0.22/0.66 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.22/0.67
% 0.22/0.67 fork 4: search finished without proof.
% 0.22/0.68
% 0.22/0.68 **** run 15 fork 6 starts with strategy
% 0.22/0.68 {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 0.22/0.69
% 0.22/0.69
% 0.22/0.69 fork 2: search terminated without proof.
% 0.22/0.70
% 0.22/0.70
% 0.22/0.70 fork 7: search terminated without proof.
% 0.22/0.71
% 0.22/0.71 **** run 11 fork 2 starts with strategy
% 0.22/0.71 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.22/0.72
% 0.22/0.72 **** run 13 fork 4 starts with strategy
% 0.22/0.72 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.22/0.73
% 0.22/0.73 **** run 16 fork 7 starts with strategy
% 0.22/0.73 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 0.22/0.77 No candidate clauses found.
% 0.22/0.77
% 0.22/0.77
% 0.22/0.77 fork 2: search terminated without proof.
% 1.34/0.78
% 1.34/0.78 fork 6: search finished without proof.
% 1.34/0.79
% 1.34/0.79 fork 0: search finished without proof.
% 1.34/0.80
% 1.34/0.80
% 1.34/0.80 fork 1: search terminated without proof.
% 1.34/0.80
% 1.34/0.80 **** run 19 fork 2 starts with strategy
% 1.34/0.80 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.34/0.80
% 1.34/0.80 fork 5: search finished without proof.
% 1.34/0.80
% 1.34/0.80 fork 3: search finished without proof.
% 1.34/0.81
% 1.34/0.81 **** run 17 fork 0 starts with strategy
% 1.34/0.81 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.34/0.81
% 1.34/0.81 **** run 23 fork 6 starts with strategy
% 1.34/0.81 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 1.34/0.82
% 1.34/0.82 **** run 18 fork 1 starts with strategy
% 1.34/0.82 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 1.34/0.83
% 1.34/0.83 **** run 20 fork 3 starts with strategy
% 1.34/0.83 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 2.66/0.83
% 2.66/0.83 **** run 22 fork 5 starts with strategy
% 2.66/0.83 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 2.66/0.88
% 2.66/0.88
% 2.66/0.88 fork 7: search terminated without proof.
% 2.66/0.88
% 2.66/0.88 fork 4: search finished without proof.
% 2.66/0.90
% 2.66/0.90 **** run 21 fork 4 starts with strategy
% 2.66/0.90 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 2.66/0.90
% 2.66/0.90 **** run 24 fork 7 starts with strategy
% 2.66/0.90 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.30/0.95
% 3.30/0.95
% 3.30/0.95 fork 2: search terminated without proof.
% 3.30/0.95
% 3.30/0.95 fork 0: search finished without proof.
% 3.30/0.96
% 3.30/0.96
% 3.30/0.96 fork 1: search terminated without proof.
% 3.30/0.96
% 3.30/0.96 **** run 27 fork 2 starts with strategy
% 3.30/0.96 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.30/0.97
% 3.30/0.97 **** run 25 fork 0 starts with strategy
% 3.30/0.97 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 3.30/0.97
% 3.30/0.97
% 3.30/0.97 fork 5: search terminated without proof.
% 3.30/0.97
% 3.30/0.97
% 3.30/0.97 fork 6: search terminated without proof.
% 3.30/0.97
% 3.30/0.97
% 3.30/0.97 fork 3: search terminated without proof.
% 3.85/0.99
% 3.85/0.99 **** run 30 fork 5 starts with strategy
% 3.85/0.99 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 3.85/0.99
% 3.85/0.99 **** run 26 fork 1 starts with strategy
% 3.85/0.99 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.85/0.99
% 3.85/0.99 **** run 28 fork 3 starts with strategy
% 3.85/0.99 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 3.85/1.00
% 3.85/1.00 **** run 31 fork 6 starts with strategy
% 3.85/1.00 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 3.85/1.04
% 3.85/1.04
% 3.85/1.04 fork 4: search terminated without proof.
% 3.85/1.05
% 3.85/1.05
% 3.85/1.05 fork 7: search terminated without proof.
% 3.85/1.06
% 3.85/1.06 **** run 29 fork 4 starts with strategy
% 3.85/1.06 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 3.85/1.06
% 3.85/1.06 **** run 32 fork 7 starts with strategy
% 3.85/1.06 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 4.69/1.11
% 4.69/1.11 fork 0: search finished without proof.
% 4.69/1.11
% 4.69/1.11
% 4.69/1.11 fork 2: search terminated without proof.
% 4.95/1.12
% 4.95/1.12
% 4.95/1.12 fork 1: search terminated without proof.
% 4.95/1.13
% 4.95/1.13 **** run 33 fork 0 starts with strategy
% 4.95/1.13 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 5.07/1.13
% 5.07/1.13 fork 5: search finished without proof.
% 5.07/1.13
% 5.07/1.13 fork 3: search finished without proof.
% 5.07/1.13
% 5.07/1.13 **** run 35 fork 2 starts with strategy
% 5.07/1.13 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 5.07/1.15
% 5.07/1.15 **** run 34 fork 1 starts with strategy
% 5.07/1.15 {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 5.07/1.15
% 5.07/1.15 **** run 38 fork 5 starts with strategy
% 5.07/1.15 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 5.07/1.15
% 5.07/1.15 **** run 36 fork 3 starts with strategy
% 5.07/1.15 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 5.07/1.15
% 5.07/1.15
% 5.07/1.15 fork 6: search terminated without proof.
% 5.07/1.18
% 5.07/1.18 **** run 39 fork 6 starts with strategy
% 5.07/1.18 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 5.07/1.19
% 5.07/1.19 fork 4: search finished without proof.
% 5.07/1.20
% 5.07/1.20 fork 1: search finished without proof.
% 5.07/1.21
% 5.07/1.21 fork 7: search finished without proof.
% 5.07/1.21
% 5.07/1.21 **** run 37 fork 4 starts with strategy
% 5.07/1.21 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 5.71/1.22
% 5.71/1.22 **** run 42 fork 1 starts with strategy
% 5.71/1.22 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 5.71/1.22
% 5.71/1.22 **** run 40 fork 7 starts with strategy
% 5.71/1.22 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 5.71/1.26
% 5.71/1.26 fork 0: search finished without proof.
% 5.71/1.28
% 5.71/1.28 **** run 41 fork 0 starts with strategy
% 5.71/1.28 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 5.71/1.28
% 5.71/1.28
% 5.71/1.28 fork 2: search terminated without proof.
% 6.28/1.29
% 6.28/1.29 fork 3: search finished without proof.
% 6.28/1.29
% 6.28/1.29 fork 5: search finished without proof.
% 6.28/1.30
% 6.28/1.30 **** run 43 fork 2 starts with strategy
% 6.28/1.30 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 6.28/1.31
% 6.28/1.31 **** run 46 fork 5 starts with strategy
% 6.28/1.31 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.28/1.31
% 6.28/1.31 **** run 44 fork 3 starts with strategy
% 6.28/1.31 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 6.28/1.33
% 6.28/1.33
% 6.28/1.33 fork 6: search terminated without proof.
% 6.28/1.34
% 6.28/1.34 fork 4: search finished without proof.
% 6.28/1.35
% 6.28/1.35 **** run 47 fork 6 starts with strategy
% 6.28/1.35 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.28/1.35
% 6.28/1.35
% 6.28/1.35 fork 1: search terminated without proof.
% 6.28/1.36
% 6.28/1.36 fork 7: search finished without proof.
% 6.28/1.36
% 6.28/1.36 **** run 45 fork 4 starts with strategy
% 6.28/1.36 {"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}
% 6.95/1.38
% 6.95/1.38 **** run 48 fork 7 starts with strategy
% 6.95/1.38 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.95/1.38
% 6.95/1.38 **** run 50 fork 1 starts with strategy
% 6.95/1.38 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 6.95/1.42
% 6.95/1.42
% 6.95/1.42 fork 0: search terminated without proof.
% 6.95/1.43
% 6.95/1.43 **** run 49 fork 0 starts with strategy
% 6.95/1.43 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 6.95/1.45
% 6.95/1.45 fork 3: search finished without proof.
% 6.95/1.45
% 6.95/1.45
% 6.95/1.45 fork 2: search terminated without proof.
% 6.95/1.47
% 6.95/1.47 **** run 52 fork 3 starts with strategy
% 6.95/1.47 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":1}
% 6.95/1.48
% 6.95/1.48 **** run 51 fork 2 starts with strategy
% 6.95/1.48 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 6.95/1.49
% 6.95/1.49
% 6.95/1.49 fork 4: search terminated without proof.
% 6.95/1.51
% 6.95/1.51
% 6.95/1.51 fork 5: search terminated without proof.
% 6.95/1.51
% 6.95/1.51 **** run 53 fork 4 starts with strategy
% 6.95/1.51 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 6.95/1.52
% 6.95/1.52
% 6.95/1.52 fork 7: search terminated without proof.
% 6.95/1.52
% 6.95/1.52
% 6.95/1.52 fork 1: search terminated without proof.
% 6.95/1.53
% 6.95/1.53 **** run 54 fork 5 starts with strategy
% 6.95/1.53 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.95/1.53
% 6.95/1.53 **** run 56 fork 7 starts with strategy
% 6.95/1.53 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 6.95/1.54
% 6.95/1.54 **** run 58 fork 1 starts with strategy
% 6.95/1.54 {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 7.19/1.57
% 7.19/1.57 fork 0: search finished without proof.
% 8.43/1.58
% 8.43/1.58
% 8.43/1.58 fork 6: search terminated without proof.
% 8.43/1.59
% 8.43/1.59 **** run 57 fork 0 starts with strategy
% 8.43/1.59 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 8.56/1.61
% 8.56/1.61
% 8.56/1.61 fork 3: search terminated without proof.
% 8.56/1.61
% 8.56/1.61 **** run 55 fork 6 starts with strategy
% 8.56/1.61 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 8.81/1.62
% 8.81/1.62
% 8.81/1.62 fork 2: search terminated without proof.
% 8.81/1.63
% 8.81/1.63 **** run 60 fork 3 starts with strategy
% 8.81/1.63 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 8.81/1.65
% 8.81/1.65 **** run 59 fork 2 starts with strategy
% 8.81/1.65 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":5}
% 8.81/1.65
% 8.81/1.65
% 8.81/1.65 fork 4: search terminated without proof.
% 8.81/1.67
% 8.81/1.67 fork 7: search finished without proof.
% 8.81/1.67
% 8.81/1.67 **** run 61 fork 4 starts with strategy
% 8.81/1.67 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 8.81/1.68
% 8.81/1.68
% 8.81/1.68 fork 5: search terminated without proof.
% 8.81/1.69
% 8.81/1.69 **** run 64 fork 7 starts with strategy
% 8.81/1.69 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 8.81/1.70
% 8.81/1.70 **** run 62 fork 5 starts with strategy
% 8.81/1.70 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 9.47/1.72
% 9.47/1.72
% 9.47/1.72 fork 0: search terminated without proof.
% 9.47/1.74
% 9.47/1.74 **** run 65 fork 0 starts with strategy
% 9.47/1.74 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 9.47/1.77
% 9.47/1.77
% 9.47/1.77 fork 6: search terminated without proof.
% 10.11/1.80
% 10.11/1.80 **** run 63 fork 6 starts with strategy
% 10.11/1.80 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 11.19/2.28
% 11.19/2.28 fork 1: search finished without proof.
% 11.19/2.30
% 11.19/2.30 **** run 66 fork 1 starts with strategy
% 11.19/2.30 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 15.71/2.54
% 15.71/2.54
% 15.71/2.54 result: proof found
% 15.71/2.54 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.71/2.54 by run 60 fork 3 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 15.71/2.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.71/2.54
% 15.71/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.71/2.55
% 15.71/2.55 run 60 fork 3 statistics:
% 15.71/2.55 ----------------------------------
% 15.71/2.55 this run seconds: 0.845197
% 15.71/2.55 total seconds: 2.023721
% 15.71/2.55 stat_given_used: 6114
% 15.71/2.55 stat_given_used_at_endgame: 0
% 15.71/2.55 stat_given_candidates: 19306
% 15.71/2.55 stat_given_candidates_at_endgame: 0
% 15.71/2.55 stat_given_candidates_h: 0
% 15.71/2.55 stat_binres_derived_cl: 1919
% 15.71/2.55 stat_binres_derived_cl_h: 0
% 15.71/2.55 stat_factor_derived_cl: 94
% 15.71/2.55 stat_para_derived_cl: 31357
% 15.71/2.55 stat_tautologies_discarded: 89
% 15.71/2.55 stat_forward_subsumed: 6783
% 15.71/2.55 stat_derived_cut: 2950
% 15.71/2.55 stat_derived_rewritten: 4994
% 15.71/2.55 stat_weight_discarded_building: 0
% 15.71/2.55 stat_weight_discarded_cl: 8907
% 15.71/2.55 stat_internlimit_discarded_cl: 0
% 15.71/2.55 stat_simplified: 5574 simplified 0 derived 0 given
% 15.71/2.55 stat_kept_cl: 16700
% 15.71/2.55 stat_built_cl: 43408
% 15.71/2.55 stat_hyperres_partial_cl: 0
% 15.71/2.55 stat_made_rewriters: 278
% 15.71/2.55 stat_backward_subsumed: 0
% 15.71/2.55 stat_propagated_subsumed: 0
% 15.71/2.55 stat_clsubs_attempted: 39992
% 15.71/2.55 stat_clsubs_fact_groundunit_found: 0
% 15.71/2.55 stat_clsubs_rule_groundunit_found: 647
% 15.71/2.55 stat_clsubs_top_meta_attempted: 36102548
% 15.71/2.55 stat_clsubs_top_meta_failed: 36062556
% 15.71/2.55 stat_clsubs_top_meta_nonpref_attempted: 36102548
% 15.71/2.55 stat_clsubs_top_meta_nonpref_succeeded: 10568901
% 15.71/2.55 stat_clsubs_top_meta_pref_attempted: 10568901
% 15.71/2.55 stat_clsubs_top_meta_pref1_succeeded: 4585187
% 15.71/2.55 stat_clsubs_top_meta_pref2_succeeded: 123158
% 15.71/2.55 stat_clsubs_top_meta_pref3_succeeded: 39992
% 15.71/2.55 stat_clsubs_top_meta_pref_succeeded: 39992
% 15.71/2.55 stat_clsubs_meta_attempted: 77853
% 15.71/2.55 stat_clsubs_meta_failed: 56279
% 15.71/2.55 stat_clsubs_predsymbs_attempted: 0
% 15.71/2.55 stat_clsubs_unit_attempted: 0
% 15.71/2.55 stat_clsubs_full_attempted: 39992
% 15.71/2.55 stat_forwardsubs_attempted: 32390
% 15.71/2.55 stat_lit_hash_added: 24369
% 15.71/2.55 stat_lit_hash_computed: 224305
% 15.71/2.55 stat_lit_hash_match_found: 17680
% 15.71/2.55 stat_lit_hash_match_miss: 288287
% 15.71/2.55 stat_lit_hash_cut_ok: 6388
% 15.71/2.55 stat_lit_strong_cut_ok: 0
% 15.71/2.55 stat_lit_hash_subsume_ok: 6783
% 15.71/2.55 clqueue els 10000000 used 1
% 15.71/2.55 clactive els 10000000 used 6115
% 15.71/2.55 clactivesubsume els 10000000 used 31819
% 15.71/2.55 queue_termbuf els 200000000 used 1654380
% 15.71/2.55 hyper_termbuf els 100000000 used 1
% 15.71/2.55 active_termbuf els 100000000 used 220402
% 15.71/2.55 varstack els 5000 last used 1
% 15.71/2.55 given_termbuf els 10000000 last used 1
% 15.71/2.55 simplified_termbuf els 10000000 last used 1
% 15.71/2.55 derived_termbuf els 10000000 last used 25
% 15.71/2.55 wr_mallocs: 84873
% 15.71/2.55 wr_callocs: 21
% 15.71/2.55 wr_reallocs: 4998
% 15.71/2.55 wr_frees: 4
% 15.71/2.55 wr_malloc_bytes: 4165392916
% 15.71/2.55 wr_calloc_bytes: 112065536
% 15.71/2.55 wr_realloc_bytes: 1561296
% 15.71/2.55 wr_realloc_freebytes: 0
% 15.71/2.55 ----------------------------------
%------------------------------------------------------------------------------