TSTP Solution File: SYO525+1.027 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SYO525+1.027 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:48:43 EDT 2023
% Result : Timeout 5.45s 300.02s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 427
% Number of leaves : 30
% Syntax : Number of formulae : 3392 ( 430 unt; 0 def)
% Number of atoms : 6354 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6322 (3360 ~;2934 |; 0 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-27 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18603 ( 0 sgn; 702 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(qed27,axiom,
( bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> goal ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',qed27) ).
fof(goal_to_be_proved,conjecture,
goal,
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',goal_to_be_proved) ).
fof(p27,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p27) ).
fof(p26,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p26) ).
fof(p25,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p25) ).
fof(p24,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p24) ).
fof(p23,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p23) ).
fof(p22,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p22) ).
fof(p21,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p21) ).
fof(p20,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p20) ).
fof(p19,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p19) ).
fof(p18,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p18) ).
fof(p17,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p17) ).
fof(p16,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p16) ).
fof(p15,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p15) ).
fof(p14,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p14) ).
fof(p13,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p13) ).
fof(p12,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p12) ).
fof(p11,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p11) ).
fof(p10,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p10) ).
fof(p9,axiom,
! [X1,X2,X3,X4,X5,X6,X7,X8] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p9) ).
fof(p8,axiom,
! [X1,X2,X3,X4,X5,X6,X7] :
( bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p8) ).
fof(p7,axiom,
! [X1,X2,X3,X4,X5,X6] :
( bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p7) ).
fof(p6,axiom,
! [X1,X2,X3,X4,X5] :
( bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p6) ).
fof(p5,axiom,
! [X1,X2,X3,X4] :
( bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p5) ).
fof(p4,axiom,
! [X1,X2,X3] :
( bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p4) ).
fof(p3,axiom,
! [X1,X2] :
( bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p3) ).
fof(p2,axiom,
! [X1] :
( bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p2) ).
fof(p1,axiom,
( bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
=> bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',p1) ).
fof(start,axiom,
bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
file('/export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p',start) ).
fof(c_0_30,plain,
( ~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| goal ),
inference(fof_nnf,[status(thm)],[qed27]) ).
fof(c_0_31,negated_conjecture,
~ goal,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).
cnf(c_0_32,plain,
( goal
| ~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
~ goal,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_34,plain,
! [X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52] :
( ~ bin_count(X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,n0)
| bin_count(X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,n1) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])]) ).
cnf(c_0_35,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1),
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n1)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,n0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_37,plain,
! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77] :
( ~ bin_count(X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,n0,n1)
| bin_count(X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,n1,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p26])]) ).
cnf(c_0_38,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n1,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,n0,n1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_40,plain,
! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101] :
( ~ bin_count(X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,n0,n1,n1)
| bin_count(X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,n1,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p25])]) ).
cnf(c_0_41,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_43,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124] :
( ~ bin_count(X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,n0,n1,n1,n1)
| bin_count(X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,n1,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p24])]) ).
cnf(c_0_44,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0),
inference(spm,[status(thm)],[c_0_41,c_0_36]) ).
cnf(c_0_45,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n1,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_46,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_47,plain,
! [X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146] :
( ~ bin_count(X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,n0,n1,n1,n1,n1)
| bin_count(X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,n1,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])]) ).
cnf(c_0_48,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_46,c_0_36]) ).
cnf(c_0_50,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_51,plain,
! [X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167] :
( ~ bin_count(X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,n0,n1,n1,n1,n1,n1)
| bin_count(X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,n1,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p22])]) ).
cnf(c_0_52,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_53,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_49,c_0_39]) ).
cnf(c_0_54,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
cnf(c_0_55,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_56,plain,
! [X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187] :
( ~ bin_count(X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,n0,n1,n1,n1,n1,n1,n1)
| bin_count(X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,n1,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p21])]) ).
cnf(c_0_57,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_52,c_0_36]) ).
cnf(c_0_58,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n1,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_53,c_0_36]) ).
cnf(c_0_59,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_54,c_0_39]) ).
cnf(c_0_60,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_55,c_0_36]) ).
cnf(c_0_61,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_62,plain,
! [X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206] :
( ~ bin_count(X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,n0,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p20])]) ).
cnf(c_0_63,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_59,c_0_36]) ).
cnf(c_0_65,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_66,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_61,c_0_36]) ).
cnf(c_0_67,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_68,plain,
! [X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224] :
( ~ bin_count(X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,n0,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p19])]) ).
cnf(c_0_69,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_63,c_0_45]) ).
cnf(c_0_70,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_64,c_0_45]) ).
cnf(c_0_71,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_65,c_0_36]) ).
cnf(c_0_72,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_66,c_0_39]) ).
cnf(c_0_73,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_67,c_0_36]) ).
cnf(c_0_74,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_75,plain,
! [X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241] :
( ~ bin_count(X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p18])]) ).
cnf(c_0_76,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_69,c_0_39]) ).
cnf(c_0_77,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_70,c_0_39]) ).
cnf(c_0_78,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_71,c_0_45]) ).
cnf(c_0_79,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_72,c_0_36]) ).
cnf(c_0_80,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_73,c_0_39]) ).
cnf(c_0_81,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_74,c_0_36]) ).
cnf(c_0_82,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_83,plain,
! [X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256,X257] :
( ~ bin_count(X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256,X257,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256,X257,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])]) ).
cnf(c_0_84,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_76,c_0_36]) ).
cnf(c_0_85,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n1,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_77,c_0_36]) ).
cnf(c_0_86,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_78,c_0_39]) ).
cnf(c_0_87,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_79,c_0_45]) ).
cnf(c_0_88,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_80,c_0_36]) ).
cnf(c_0_89,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_81,c_0_39]) ).
cnf(c_0_90,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_82,c_0_36]) ).
cnf(c_0_91,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_92,plain,
! [X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272] :
( ~ bin_count(X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p16])]) ).
cnf(c_0_93,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_86,c_0_36]) ).
cnf(c_0_95,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_87,c_0_39]) ).
cnf(c_0_96,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_88,c_0_45]) ).
cnf(c_0_97,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_89,c_0_36]) ).
cnf(c_0_98,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_90,c_0_39]) ).
cnf(c_0_99,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_91,c_0_36]) ).
cnf(c_0_100,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_101,plain,
! [X273,X274,X275,X276,X277,X278,X279,X280,X281,X282,X283,X284,X285,X286] :
( ~ bin_count(X273,X274,X275,X276,X277,X278,X279,X280,X281,X282,X283,X284,X285,X286,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X273,X274,X275,X276,X277,X278,X279,X280,X281,X282,X283,X284,X285,X286,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])]) ).
cnf(c_0_102,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_93,c_0_58]) ).
cnf(c_0_103,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_94,c_0_58]) ).
cnf(c_0_104,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_95,c_0_36]) ).
cnf(c_0_105,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_96,c_0_39]) ).
cnf(c_0_106,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_97,c_0_45]) ).
cnf(c_0_107,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_98,c_0_36]) ).
cnf(c_0_108,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_99,c_0_39]) ).
cnf(c_0_109,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_100,c_0_36]) ).
cnf(c_0_110,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_111,plain,
! [X287,X288,X289,X290,X291,X292,X293,X294,X295,X296,X297,X298,X299] :
( ~ bin_count(X287,X288,X289,X290,X291,X292,X293,X294,X295,X296,X297,X298,X299,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X287,X288,X289,X290,X291,X292,X293,X294,X295,X296,X297,X298,X299,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p14])]) ).
cnf(c_0_112,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_102,c_0_45]) ).
cnf(c_0_113,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_103,c_0_45]) ).
cnf(c_0_114,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_104,c_0_58]) ).
cnf(c_0_115,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_105,c_0_36]) ).
cnf(c_0_116,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_106,c_0_39]) ).
cnf(c_0_117,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_107,c_0_45]) ).
cnf(c_0_118,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_108,c_0_36]) ).
cnf(c_0_119,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_109,c_0_39]) ).
cnf(c_0_120,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_110,c_0_36]) ).
cnf(c_0_121,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
fof(c_0_122,plain,
! [X300,X301,X302,X303,X304,X305,X306,X307,X308,X309,X310,X311] :
( ~ bin_count(X300,X301,X302,X303,X304,X305,X306,X307,X308,X309,X310,X311,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X300,X301,X302,X303,X304,X305,X306,X307,X308,X309,X310,X311,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p13])]) ).
cnf(c_0_123,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_112,c_0_39]) ).
cnf(c_0_124,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_113,c_0_39]) ).
cnf(c_0_125,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_114,c_0_45]) ).
cnf(c_0_126,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_115,c_0_58]) ).
cnf(c_0_127,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_116,c_0_36]) ).
cnf(c_0_128,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_117,c_0_39]) ).
cnf(c_0_129,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_118,c_0_45]) ).
cnf(c_0_130,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_119,c_0_36]) ).
cnf(c_0_131,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_120,c_0_39]) ).
cnf(c_0_132,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_121,c_0_36]) ).
cnf(c_0_133,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_134,plain,
! [X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322] :
( ~ bin_count(X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p12])]) ).
cnf(c_0_135,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_123,c_0_36]) ).
cnf(c_0_136,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n1,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_124,c_0_36]) ).
cnf(c_0_137,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_125,c_0_39]) ).
cnf(c_0_138,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_126,c_0_45]) ).
cnf(c_0_139,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_127,c_0_58]) ).
cnf(c_0_140,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_128,c_0_36]) ).
cnf(c_0_141,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_129,c_0_39]) ).
cnf(c_0_142,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_130,c_0_45]) ).
cnf(c_0_143,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_131,c_0_36]) ).
cnf(c_0_144,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_132,c_0_39]) ).
cnf(c_0_145,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_133,c_0_36]) ).
cnf(c_0_146,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
fof(c_0_147,plain,
! [X323,X324,X325,X326,X327,X328,X329,X330,X331,X332] :
( ~ bin_count(X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X323,X324,X325,X326,X327,X328,X329,X330,X331,X332,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p11])]) ).
cnf(c_0_148,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_149,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_137,c_0_36]) ).
cnf(c_0_150,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_138,c_0_39]) ).
cnf(c_0_151,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_139,c_0_45]) ).
cnf(c_0_152,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_140,c_0_58]) ).
cnf(c_0_153,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_141,c_0_36]) ).
cnf(c_0_154,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_142,c_0_39]) ).
cnf(c_0_155,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_143,c_0_45]) ).
cnf(c_0_156,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_144,c_0_36]) ).
cnf(c_0_157,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_145,c_0_39]) ).
cnf(c_0_158,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_146,c_0_36]) ).
cnf(c_0_159,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
fof(c_0_160,plain,
! [X333,X334,X335,X336,X337,X338,X339,X340,X341] :
( ~ bin_count(X333,X334,X335,X336,X337,X338,X339,X340,X341,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X333,X334,X335,X336,X337,X338,X339,X340,X341,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p10])]) ).
cnf(c_0_161,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_148,c_0_85]) ).
cnf(c_0_162,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_149,c_0_85]) ).
cnf(c_0_163,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_150,c_0_36]) ).
cnf(c_0_164,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_151,c_0_39]) ).
cnf(c_0_165,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_152,c_0_45]) ).
cnf(c_0_166,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_153,c_0_58]) ).
cnf(c_0_167,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_154,c_0_36]) ).
cnf(c_0_168,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_155,c_0_39]) ).
cnf(c_0_169,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_156,c_0_45]) ).
cnf(c_0_170,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_157,c_0_36]) ).
cnf(c_0_171,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_158,c_0_39]) ).
cnf(c_0_172,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_159,c_0_36]) ).
cnf(c_0_173,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
fof(c_0_174,plain,
! [X342,X343,X344,X345,X346,X347,X348,X349] :
( ~ bin_count(X342,X343,X344,X345,X346,X347,X348,X349,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X342,X343,X344,X345,X346,X347,X348,X349,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p9])]) ).
cnf(c_0_175,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_161,c_0_58]) ).
cnf(c_0_176,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_162,c_0_58]) ).
cnf(c_0_177,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_163,c_0_85]) ).
cnf(c_0_178,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_164,c_0_36]) ).
cnf(c_0_179,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_165,c_0_39]) ).
cnf(c_0_180,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_166,c_0_45]) ).
cnf(c_0_181,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_167,c_0_58]) ).
cnf(c_0_182,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_168,c_0_36]) ).
cnf(c_0_183,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_169,c_0_39]) ).
cnf(c_0_184,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_170,c_0_45]) ).
cnf(c_0_185,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_171,c_0_36]) ).
cnf(c_0_186,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_172,c_0_39]) ).
cnf(c_0_187,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_173,c_0_36]) ).
cnf(c_0_188,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
fof(c_0_189,plain,
! [X350,X351,X352,X353,X354,X355,X356] :
( ~ bin_count(X350,X351,X352,X353,X354,X355,X356,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X350,X351,X352,X353,X354,X355,X356,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p8])]) ).
cnf(c_0_190,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_175,c_0_45]) ).
cnf(c_0_191,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_176,c_0_45]) ).
cnf(c_0_192,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_177,c_0_58]) ).
cnf(c_0_193,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_178,c_0_85]) ).
cnf(c_0_194,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_179,c_0_36]) ).
cnf(c_0_195,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_180,c_0_39]) ).
cnf(c_0_196,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_181,c_0_45]) ).
cnf(c_0_197,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_182,c_0_58]) ).
cnf(c_0_198,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_183,c_0_36]) ).
cnf(c_0_199,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_184,c_0_39]) ).
cnf(c_0_200,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_185,c_0_45]) ).
cnf(c_0_201,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_186,c_0_36]) ).
cnf(c_0_202,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_187,c_0_39]) ).
cnf(c_0_203,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_188,c_0_36]) ).
cnf(c_0_204,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
fof(c_0_205,plain,
! [X357,X358,X359,X360,X361,X362] :
( ~ bin_count(X357,X358,X359,X360,X361,X362,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X357,X358,X359,X360,X361,X362,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p7])]) ).
cnf(c_0_206,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_190,c_0_39]) ).
cnf(c_0_207,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_191,c_0_39]) ).
cnf(c_0_208,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_192,c_0_45]) ).
cnf(c_0_209,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_193,c_0_58]) ).
cnf(c_0_210,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_194,c_0_85]) ).
cnf(c_0_211,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_195,c_0_36]) ).
cnf(c_0_212,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_196,c_0_39]) ).
cnf(c_0_213,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_197,c_0_45]) ).
cnf(c_0_214,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_198,c_0_58]) ).
cnf(c_0_215,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_199,c_0_36]) ).
cnf(c_0_216,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_200,c_0_39]) ).
cnf(c_0_217,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_201,c_0_45]) ).
cnf(c_0_218,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_202,c_0_36]) ).
cnf(c_0_219,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_203,c_0_39]) ).
cnf(c_0_220,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_204,c_0_36]) ).
cnf(c_0_221,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
fof(c_0_222,plain,
! [X363,X364,X365,X366,X367] :
( ~ bin_count(X363,X364,X365,X366,X367,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X363,X364,X365,X366,X367,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p6])]) ).
cnf(c_0_223,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_206,c_0_36]) ).
cnf(c_0_224,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n1,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_207,c_0_36]) ).
cnf(c_0_225,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_208,c_0_39]) ).
cnf(c_0_226,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_209,c_0_45]) ).
cnf(c_0_227,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_210,c_0_58]) ).
cnf(c_0_228,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_211,c_0_85]) ).
cnf(c_0_229,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_212,c_0_36]) ).
cnf(c_0_230,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_213,c_0_39]) ).
cnf(c_0_231,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_214,c_0_45]) ).
cnf(c_0_232,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_215,c_0_58]) ).
cnf(c_0_233,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_216,c_0_36]) ).
cnf(c_0_234,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_217,c_0_39]) ).
cnf(c_0_235,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_218,c_0_45]) ).
cnf(c_0_236,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_219,c_0_36]) ).
cnf(c_0_237,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_220,c_0_39]) ).
cnf(c_0_238,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_221,c_0_36]) ).
cnf(c_0_239,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
fof(c_0_240,plain,
! [X368,X369,X370,X371] :
( ~ bin_count(X368,X369,X370,X371,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X368,X369,X370,X371,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])]) ).
cnf(c_0_241,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_242,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_225,c_0_36]) ).
cnf(c_0_243,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_226,c_0_39]) ).
cnf(c_0_244,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_227,c_0_45]) ).
cnf(c_0_245,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_228,c_0_58]) ).
cnf(c_0_246,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_229,c_0_85]) ).
cnf(c_0_247,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_230,c_0_36]) ).
cnf(c_0_248,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_231,c_0_39]) ).
cnf(c_0_249,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_232,c_0_45]) ).
cnf(c_0_250,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_233,c_0_58]) ).
cnf(c_0_251,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_234,c_0_36]) ).
cnf(c_0_252,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_235,c_0_39]) ).
cnf(c_0_253,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_236,c_0_45]) ).
cnf(c_0_254,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_237,c_0_36]) ).
cnf(c_0_255,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_238,c_0_39]) ).
cnf(c_0_256,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_239,c_0_36]) ).
cnf(c_0_257,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
fof(c_0_258,plain,
! [X372,X373,X374] :
( ~ bin_count(X372,X373,X374,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X372,X373,X374,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])]) ).
cnf(c_0_259,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_241,c_0_136]) ).
cnf(c_0_260,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_242,c_0_136]) ).
cnf(c_0_261,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_243,c_0_36]) ).
cnf(c_0_262,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_244,c_0_39]) ).
cnf(c_0_263,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_245,c_0_45]) ).
cnf(c_0_264,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_246,c_0_58]) ).
cnf(c_0_265,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_247,c_0_85]) ).
cnf(c_0_266,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_248,c_0_36]) ).
cnf(c_0_267,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_249,c_0_39]) ).
cnf(c_0_268,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_250,c_0_45]) ).
cnf(c_0_269,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_251,c_0_58]) ).
cnf(c_0_270,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_252,c_0_36]) ).
cnf(c_0_271,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_253,c_0_39]) ).
cnf(c_0_272,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_254,c_0_45]) ).
cnf(c_0_273,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_255,c_0_36]) ).
cnf(c_0_274,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_256,c_0_39]) ).
cnf(c_0_275,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_257,c_0_36]) ).
cnf(c_0_276,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_258]) ).
fof(c_0_277,plain,
! [X375,X376] :
( ~ bin_count(X375,X376,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X375,X376,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])]) ).
cnf(c_0_278,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_259,c_0_85]) ).
cnf(c_0_279,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_260,c_0_85]) ).
cnf(c_0_280,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_261,c_0_136]) ).
cnf(c_0_281,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_262,c_0_36]) ).
cnf(c_0_282,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_263,c_0_39]) ).
cnf(c_0_283,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_264,c_0_45]) ).
cnf(c_0_284,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_265,c_0_58]) ).
cnf(c_0_285,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_266,c_0_85]) ).
cnf(c_0_286,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_267,c_0_36]) ).
cnf(c_0_287,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_268,c_0_39]) ).
cnf(c_0_288,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_269,c_0_45]) ).
cnf(c_0_289,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_270,c_0_58]) ).
cnf(c_0_290,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_271,c_0_36]) ).
cnf(c_0_291,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_272,c_0_39]) ).
cnf(c_0_292,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_273,c_0_45]) ).
cnf(c_0_293,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_274,c_0_36]) ).
cnf(c_0_294,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_275,c_0_39]) ).
cnf(c_0_295,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_276,c_0_36]) ).
cnf(c_0_296,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_277]) ).
fof(c_0_297,plain,
! [X377] :
( ~ bin_count(X377,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(X377,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])]) ).
cnf(c_0_298,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_278,c_0_58]) ).
cnf(c_0_299,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_279,c_0_58]) ).
cnf(c_0_300,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_280,c_0_85]) ).
cnf(c_0_301,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_281,c_0_136]) ).
cnf(c_0_302,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_282,c_0_36]) ).
cnf(c_0_303,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_283,c_0_39]) ).
cnf(c_0_304,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_284,c_0_45]) ).
cnf(c_0_305,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_285,c_0_58]) ).
cnf(c_0_306,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_286,c_0_85]) ).
cnf(c_0_307,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_287,c_0_36]) ).
cnf(c_0_308,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_288,c_0_39]) ).
cnf(c_0_309,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_289,c_0_45]) ).
cnf(c_0_310,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_290,c_0_58]) ).
cnf(c_0_311,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_291,c_0_36]) ).
cnf(c_0_312,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_292,c_0_39]) ).
cnf(c_0_313,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_293,c_0_45]) ).
cnf(c_0_314,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_294,c_0_36]) ).
cnf(c_0_315,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_295,c_0_39]) ).
cnf(c_0_316,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_296,c_0_36]) ).
cnf(c_0_317,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_297]) ).
cnf(c_0_318,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_298,c_0_45]) ).
cnf(c_0_319,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_299,c_0_45]) ).
cnf(c_0_320,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_300,c_0_58]) ).
cnf(c_0_321,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_301,c_0_85]) ).
cnf(c_0_322,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_302,c_0_136]) ).
cnf(c_0_323,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_303,c_0_36]) ).
cnf(c_0_324,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_304,c_0_39]) ).
cnf(c_0_325,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_305,c_0_45]) ).
cnf(c_0_326,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_306,c_0_58]) ).
cnf(c_0_327,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_307,c_0_85]) ).
cnf(c_0_328,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_308,c_0_36]) ).
cnf(c_0_329,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_309,c_0_39]) ).
cnf(c_0_330,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_310,c_0_45]) ).
cnf(c_0_331,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_311,c_0_58]) ).
cnf(c_0_332,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_312,c_0_36]) ).
cnf(c_0_333,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_313,c_0_39]) ).
cnf(c_0_334,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_314,c_0_45]) ).
cnf(c_0_335,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_315,c_0_36]) ).
cnf(c_0_336,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_316,c_0_39]) ).
cnf(c_0_337,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_317,c_0_36]) ).
cnf(c_0_338,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_318,c_0_39]) ).
cnf(c_0_339,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_319,c_0_39]) ).
cnf(c_0_340,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_320,c_0_45]) ).
cnf(c_0_341,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_321,c_0_58]) ).
cnf(c_0_342,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_322,c_0_85]) ).
cnf(c_0_343,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_323,c_0_136]) ).
cnf(c_0_344,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_324,c_0_36]) ).
cnf(c_0_345,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_325,c_0_39]) ).
cnf(c_0_346,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_326,c_0_45]) ).
cnf(c_0_347,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_327,c_0_58]) ).
cnf(c_0_348,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_328,c_0_85]) ).
cnf(c_0_349,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_329,c_0_36]) ).
cnf(c_0_350,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_330,c_0_39]) ).
cnf(c_0_351,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_331,c_0_45]) ).
cnf(c_0_352,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_332,c_0_58]) ).
cnf(c_0_353,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_333,c_0_36]) ).
cnf(c_0_354,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_334,c_0_39]) ).
cnf(c_0_355,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_335,c_0_45]) ).
cnf(c_0_356,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_336,c_0_36]) ).
cnf(c_0_357,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_337,c_0_39]) ).
cnf(c_0_358,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_338,c_0_36]) ).
cnf(c_0_359,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n1,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_339,c_0_36]) ).
cnf(c_0_360,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_340,c_0_39]) ).
cnf(c_0_361,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_341,c_0_45]) ).
cnf(c_0_362,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_342,c_0_58]) ).
cnf(c_0_363,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_343,c_0_85]) ).
cnf(c_0_364,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_344,c_0_136]) ).
cnf(c_0_365,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_345,c_0_36]) ).
cnf(c_0_366,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_346,c_0_39]) ).
cnf(c_0_367,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_347,c_0_45]) ).
cnf(c_0_368,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_348,c_0_58]) ).
cnf(c_0_369,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_349,c_0_85]) ).
cnf(c_0_370,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_350,c_0_36]) ).
cnf(c_0_371,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_351,c_0_39]) ).
cnf(c_0_372,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_352,c_0_45]) ).
cnf(c_0_373,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_353,c_0_58]) ).
cnf(c_0_374,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_354,c_0_36]) ).
cnf(c_0_375,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_355,c_0_39]) ).
cnf(c_0_376,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_356,c_0_45]) ).
cnf(c_0_377,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_357,c_0_36]) ).
cnf(c_0_378,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
cnf(c_0_379,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_360,c_0_36]) ).
cnf(c_0_380,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_361,c_0_39]) ).
cnf(c_0_381,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_362,c_0_45]) ).
cnf(c_0_382,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_363,c_0_58]) ).
cnf(c_0_383,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_364,c_0_85]) ).
cnf(c_0_384,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_365,c_0_136]) ).
cnf(c_0_385,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_366,c_0_36]) ).
cnf(c_0_386,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_367,c_0_39]) ).
cnf(c_0_387,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_368,c_0_45]) ).
cnf(c_0_388,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_369,c_0_58]) ).
cnf(c_0_389,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_370,c_0_85]) ).
cnf(c_0_390,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_371,c_0_36]) ).
cnf(c_0_391,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_372,c_0_39]) ).
cnf(c_0_392,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_373,c_0_45]) ).
cnf(c_0_393,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_374,c_0_58]) ).
cnf(c_0_394,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_375,c_0_36]) ).
cnf(c_0_395,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_376,c_0_39]) ).
cnf(c_0_396,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_377,c_0_45]) ).
cnf(c_0_397,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_378,c_0_224]) ).
cnf(c_0_398,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_379,c_0_224]) ).
cnf(c_0_399,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_380,c_0_36]) ).
cnf(c_0_400,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_381,c_0_39]) ).
cnf(c_0_401,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_382,c_0_45]) ).
cnf(c_0_402,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_383,c_0_58]) ).
cnf(c_0_403,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_384,c_0_85]) ).
cnf(c_0_404,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_385,c_0_136]) ).
cnf(c_0_405,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_386,c_0_36]) ).
cnf(c_0_406,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_387,c_0_39]) ).
cnf(c_0_407,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_388,c_0_45]) ).
cnf(c_0_408,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_389,c_0_58]) ).
cnf(c_0_409,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_390,c_0_85]) ).
cnf(c_0_410,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_391,c_0_36]) ).
cnf(c_0_411,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_392,c_0_39]) ).
cnf(c_0_412,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_393,c_0_45]) ).
cnf(c_0_413,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_394,c_0_58]) ).
cnf(c_0_414,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_395,c_0_36]) ).
cnf(c_0_415,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_396,c_0_39]) ).
cnf(c_0_416,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_397,c_0_136]) ).
cnf(c_0_417,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_398,c_0_136]) ).
cnf(c_0_418,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_399,c_0_224]) ).
cnf(c_0_419,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_400,c_0_36]) ).
cnf(c_0_420,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_401,c_0_39]) ).
cnf(c_0_421,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_402,c_0_45]) ).
cnf(c_0_422,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_403,c_0_58]) ).
cnf(c_0_423,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_404,c_0_85]) ).
cnf(c_0_424,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_405,c_0_136]) ).
cnf(c_0_425,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_406,c_0_36]) ).
cnf(c_0_426,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_407,c_0_39]) ).
cnf(c_0_427,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_408,c_0_45]) ).
cnf(c_0_428,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_409,c_0_58]) ).
cnf(c_0_429,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_410,c_0_85]) ).
cnf(c_0_430,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_411,c_0_36]) ).
cnf(c_0_431,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_412,c_0_39]) ).
cnf(c_0_432,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_413,c_0_45]) ).
cnf(c_0_433,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_414,c_0_58]) ).
cnf(c_0_434,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_415,c_0_36]) ).
cnf(c_0_435,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_416,c_0_85]) ).
cnf(c_0_436,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_417,c_0_85]) ).
cnf(c_0_437,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_418,c_0_136]) ).
cnf(c_0_438,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_419,c_0_224]) ).
cnf(c_0_439,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_420,c_0_36]) ).
cnf(c_0_440,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_421,c_0_39]) ).
cnf(c_0_441,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_422,c_0_45]) ).
cnf(c_0_442,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_423,c_0_58]) ).
cnf(c_0_443,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_424,c_0_85]) ).
cnf(c_0_444,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_425,c_0_136]) ).
cnf(c_0_445,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_426,c_0_36]) ).
cnf(c_0_446,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_427,c_0_39]) ).
cnf(c_0_447,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_428,c_0_45]) ).
cnf(c_0_448,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_429,c_0_58]) ).
cnf(c_0_449,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_430,c_0_85]) ).
cnf(c_0_450,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_431,c_0_36]) ).
cnf(c_0_451,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_432,c_0_39]) ).
cnf(c_0_452,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_433,c_0_45]) ).
cnf(c_0_453,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_434,c_0_58]) ).
cnf(c_0_454,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_435,c_0_58]) ).
cnf(c_0_455,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_436,c_0_58]) ).
cnf(c_0_456,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_437,c_0_85]) ).
cnf(c_0_457,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_438,c_0_136]) ).
cnf(c_0_458,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_439,c_0_224]) ).
cnf(c_0_459,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_440,c_0_36]) ).
cnf(c_0_460,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_441,c_0_39]) ).
cnf(c_0_461,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_442,c_0_45]) ).
cnf(c_0_462,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_443,c_0_58]) ).
cnf(c_0_463,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_444,c_0_85]) ).
cnf(c_0_464,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_445,c_0_136]) ).
cnf(c_0_465,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_446,c_0_36]) ).
cnf(c_0_466,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_447,c_0_39]) ).
cnf(c_0_467,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_448,c_0_45]) ).
cnf(c_0_468,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_449,c_0_58]) ).
cnf(c_0_469,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_450,c_0_85]) ).
cnf(c_0_470,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_451,c_0_36]) ).
cnf(c_0_471,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_452,c_0_39]) ).
cnf(c_0_472,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_453,c_0_45]) ).
cnf(c_0_473,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_454,c_0_45]) ).
cnf(c_0_474,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_455,c_0_45]) ).
cnf(c_0_475,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_456,c_0_58]) ).
cnf(c_0_476,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_457,c_0_85]) ).
cnf(c_0_477,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_458,c_0_136]) ).
cnf(c_0_478,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_459,c_0_224]) ).
cnf(c_0_479,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_460,c_0_36]) ).
cnf(c_0_480,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_461,c_0_39]) ).
cnf(c_0_481,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_462,c_0_45]) ).
cnf(c_0_482,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_463,c_0_58]) ).
cnf(c_0_483,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_464,c_0_85]) ).
cnf(c_0_484,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_465,c_0_136]) ).
cnf(c_0_485,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_466,c_0_36]) ).
cnf(c_0_486,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_467,c_0_39]) ).
cnf(c_0_487,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_468,c_0_45]) ).
cnf(c_0_488,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_469,c_0_58]) ).
cnf(c_0_489,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_470,c_0_85]) ).
cnf(c_0_490,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_471,c_0_36]) ).
cnf(c_0_491,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_472,c_0_39]) ).
cnf(c_0_492,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_473,c_0_39]) ).
cnf(c_0_493,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_474,c_0_39]) ).
cnf(c_0_494,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_475,c_0_45]) ).
cnf(c_0_495,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_476,c_0_58]) ).
cnf(c_0_496,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_477,c_0_85]) ).
cnf(c_0_497,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_478,c_0_136]) ).
cnf(c_0_498,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_479,c_0_224]) ).
cnf(c_0_499,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_480,c_0_36]) ).
cnf(c_0_500,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_481,c_0_39]) ).
cnf(c_0_501,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_482,c_0_45]) ).
cnf(c_0_502,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_483,c_0_58]) ).
cnf(c_0_503,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_484,c_0_85]) ).
cnf(c_0_504,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_485,c_0_136]) ).
cnf(c_0_505,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_486,c_0_36]) ).
cnf(c_0_506,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_487,c_0_39]) ).
cnf(c_0_507,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_488,c_0_45]) ).
cnf(c_0_508,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_489,c_0_58]) ).
cnf(c_0_509,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_490,c_0_85]) ).
cnf(c_0_510,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_491,c_0_36]) ).
cnf(c_0_511,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_492,c_0_36]) ).
cnf(c_0_512,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n1,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_493,c_0_36]) ).
cnf(c_0_513,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_494,c_0_39]) ).
cnf(c_0_514,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_495,c_0_45]) ).
cnf(c_0_515,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_496,c_0_58]) ).
cnf(c_0_516,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_497,c_0_85]) ).
cnf(c_0_517,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_498,c_0_136]) ).
cnf(c_0_518,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_499,c_0_224]) ).
cnf(c_0_519,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_500,c_0_36]) ).
cnf(c_0_520,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_501,c_0_39]) ).
cnf(c_0_521,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_502,c_0_45]) ).
cnf(c_0_522,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_503,c_0_58]) ).
cnf(c_0_523,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_504,c_0_85]) ).
cnf(c_0_524,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_505,c_0_136]) ).
cnf(c_0_525,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_506,c_0_36]) ).
cnf(c_0_526,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_507,c_0_39]) ).
cnf(c_0_527,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_508,c_0_45]) ).
cnf(c_0_528,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_509,c_0_58]) ).
cnf(c_0_529,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_510,c_0_85]) ).
cnf(c_0_530,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_511,c_0_512]) ).
cnf(c_0_531,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_513,c_0_36]) ).
cnf(c_0_532,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_514,c_0_39]) ).
cnf(c_0_533,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_515,c_0_45]) ).
cnf(c_0_534,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_516,c_0_58]) ).
cnf(c_0_535,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_517,c_0_85]) ).
cnf(c_0_536,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_518,c_0_136]) ).
cnf(c_0_537,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_519,c_0_224]) ).
cnf(c_0_538,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_520,c_0_36]) ).
cnf(c_0_539,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_521,c_0_39]) ).
cnf(c_0_540,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_522,c_0_45]) ).
cnf(c_0_541,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_523,c_0_58]) ).
cnf(c_0_542,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_524,c_0_85]) ).
cnf(c_0_543,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_525,c_0_136]) ).
cnf(c_0_544,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_526,c_0_36]) ).
cnf(c_0_545,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_527,c_0_39]) ).
cnf(c_0_546,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_528,c_0_45]) ).
cnf(c_0_547,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_529,c_0_58]) ).
cnf(c_0_548,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_530,c_0_359]) ).
cnf(c_0_549,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_531,c_0_359]) ).
cnf(c_0_550,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_532,c_0_36]) ).
cnf(c_0_551,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_533,c_0_39]) ).
cnf(c_0_552,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_534,c_0_45]) ).
cnf(c_0_553,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_535,c_0_58]) ).
cnf(c_0_554,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_536,c_0_85]) ).
cnf(c_0_555,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_537,c_0_136]) ).
cnf(c_0_556,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_538,c_0_224]) ).
cnf(c_0_557,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_539,c_0_36]) ).
cnf(c_0_558,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_540,c_0_39]) ).
cnf(c_0_559,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_541,c_0_45]) ).
cnf(c_0_560,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_542,c_0_58]) ).
cnf(c_0_561,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_543,c_0_85]) ).
cnf(c_0_562,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_544,c_0_136]) ).
cnf(c_0_563,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_545,c_0_36]) ).
cnf(c_0_564,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_546,c_0_39]) ).
cnf(c_0_565,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_547,c_0_45]) ).
cnf(c_0_566,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_548,c_0_224]) ).
cnf(c_0_567,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_549,c_0_224]) ).
cnf(c_0_568,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_550,c_0_359]) ).
cnf(c_0_569,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_551,c_0_36]) ).
cnf(c_0_570,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_552,c_0_39]) ).
cnf(c_0_571,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_553,c_0_45]) ).
cnf(c_0_572,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_554,c_0_58]) ).
cnf(c_0_573,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_555,c_0_85]) ).
cnf(c_0_574,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_556,c_0_136]) ).
cnf(c_0_575,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_557,c_0_224]) ).
cnf(c_0_576,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_558,c_0_36]) ).
cnf(c_0_577,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_559,c_0_39]) ).
cnf(c_0_578,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_560,c_0_45]) ).
cnf(c_0_579,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_561,c_0_58]) ).
cnf(c_0_580,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_562,c_0_85]) ).
cnf(c_0_581,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_563,c_0_136]) ).
cnf(c_0_582,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_564,c_0_36]) ).
cnf(c_0_583,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_565,c_0_39]) ).
cnf(c_0_584,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_566,c_0_136]) ).
cnf(c_0_585,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_567,c_0_136]) ).
cnf(c_0_586,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_568,c_0_224]) ).
cnf(c_0_587,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_569,c_0_359]) ).
cnf(c_0_588,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_570,c_0_36]) ).
cnf(c_0_589,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_571,c_0_39]) ).
cnf(c_0_590,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_572,c_0_45]) ).
cnf(c_0_591,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_573,c_0_58]) ).
cnf(c_0_592,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_574,c_0_85]) ).
cnf(c_0_593,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_575,c_0_136]) ).
cnf(c_0_594,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_576,c_0_224]) ).
cnf(c_0_595,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_577,c_0_36]) ).
cnf(c_0_596,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_578,c_0_39]) ).
cnf(c_0_597,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_579,c_0_45]) ).
cnf(c_0_598,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_580,c_0_58]) ).
cnf(c_0_599,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_581,c_0_85]) ).
cnf(c_0_600,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_582,c_0_136]) ).
cnf(c_0_601,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_583,c_0_36]) ).
cnf(c_0_602,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_584,c_0_85]) ).
cnf(c_0_603,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_585,c_0_85]) ).
cnf(c_0_604,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_586,c_0_136]) ).
cnf(c_0_605,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_587,c_0_224]) ).
cnf(c_0_606,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_588,c_0_359]) ).
cnf(c_0_607,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_589,c_0_36]) ).
cnf(c_0_608,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_590,c_0_39]) ).
cnf(c_0_609,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_591,c_0_45]) ).
cnf(c_0_610,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_592,c_0_58]) ).
cnf(c_0_611,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_593,c_0_85]) ).
cnf(c_0_612,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_594,c_0_136]) ).
cnf(c_0_613,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_595,c_0_224]) ).
cnf(c_0_614,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_596,c_0_36]) ).
cnf(c_0_615,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_597,c_0_39]) ).
cnf(c_0_616,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_598,c_0_45]) ).
cnf(c_0_617,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_599,c_0_58]) ).
cnf(c_0_618,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_600,c_0_85]) ).
cnf(c_0_619,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_601,c_0_136]) ).
cnf(c_0_620,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_602,c_0_58]) ).
cnf(c_0_621,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_603,c_0_58]) ).
cnf(c_0_622,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_604,c_0_85]) ).
cnf(c_0_623,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_605,c_0_136]) ).
cnf(c_0_624,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_606,c_0_224]) ).
cnf(c_0_625,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_607,c_0_359]) ).
cnf(c_0_626,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_608,c_0_36]) ).
cnf(c_0_627,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_609,c_0_39]) ).
cnf(c_0_628,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_610,c_0_45]) ).
cnf(c_0_629,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_611,c_0_58]) ).
cnf(c_0_630,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_612,c_0_85]) ).
cnf(c_0_631,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_613,c_0_136]) ).
cnf(c_0_632,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_614,c_0_224]) ).
cnf(c_0_633,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_615,c_0_36]) ).
cnf(c_0_634,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_616,c_0_39]) ).
cnf(c_0_635,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_617,c_0_45]) ).
cnf(c_0_636,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_618,c_0_58]) ).
cnf(c_0_637,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_619,c_0_85]) ).
cnf(c_0_638,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_620,c_0_45]) ).
cnf(c_0_639,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_621,c_0_45]) ).
cnf(c_0_640,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_622,c_0_58]) ).
cnf(c_0_641,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_623,c_0_85]) ).
cnf(c_0_642,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_624,c_0_136]) ).
cnf(c_0_643,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_625,c_0_224]) ).
cnf(c_0_644,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_626,c_0_359]) ).
cnf(c_0_645,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_627,c_0_36]) ).
cnf(c_0_646,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_628,c_0_39]) ).
cnf(c_0_647,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_629,c_0_45]) ).
cnf(c_0_648,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_630,c_0_58]) ).
cnf(c_0_649,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_631,c_0_85]) ).
cnf(c_0_650,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_632,c_0_136]) ).
cnf(c_0_651,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_633,c_0_224]) ).
cnf(c_0_652,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_634,c_0_36]) ).
cnf(c_0_653,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_635,c_0_39]) ).
cnf(c_0_654,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_636,c_0_45]) ).
cnf(c_0_655,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_637,c_0_58]) ).
cnf(c_0_656,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_638,c_0_39]) ).
cnf(c_0_657,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_639,c_0_39]) ).
cnf(c_0_658,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_640,c_0_45]) ).
cnf(c_0_659,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_641,c_0_58]) ).
cnf(c_0_660,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_642,c_0_85]) ).
cnf(c_0_661,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_643,c_0_136]) ).
cnf(c_0_662,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_644,c_0_224]) ).
cnf(c_0_663,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_645,c_0_359]) ).
cnf(c_0_664,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_646,c_0_36]) ).
cnf(c_0_665,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_647,c_0_39]) ).
cnf(c_0_666,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_648,c_0_45]) ).
cnf(c_0_667,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_649,c_0_58]) ).
cnf(c_0_668,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_650,c_0_85]) ).
cnf(c_0_669,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_651,c_0_136]) ).
cnf(c_0_670,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_652,c_0_224]) ).
cnf(c_0_671,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_653,c_0_36]) ).
cnf(c_0_672,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_654,c_0_39]) ).
cnf(c_0_673,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_655,c_0_45]) ).
cnf(c_0_674,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_656,c_0_36]) ).
cnf(c_0_675,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_657,c_0_36]) ).
cnf(c_0_676,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_658,c_0_39]) ).
cnf(c_0_677,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_659,c_0_45]) ).
cnf(c_0_678,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_660,c_0_58]) ).
cnf(c_0_679,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_661,c_0_85]) ).
cnf(c_0_680,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_662,c_0_136]) ).
cnf(c_0_681,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_663,c_0_224]) ).
cnf(c_0_682,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_664,c_0_359]) ).
cnf(c_0_683,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_665,c_0_36]) ).
cnf(c_0_684,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_666,c_0_39]) ).
cnf(c_0_685,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_667,c_0_45]) ).
cnf(c_0_686,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_668,c_0_58]) ).
cnf(c_0_687,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_669,c_0_85]) ).
cnf(c_0_688,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_670,c_0_136]) ).
cnf(c_0_689,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_671,c_0_224]) ).
cnf(c_0_690,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_672,c_0_36]) ).
cnf(c_0_691,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_673,c_0_39]) ).
cnf(c_0_692,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_674,c_0_675]) ).
cnf(c_0_693,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_676,c_0_36]) ).
cnf(c_0_694,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_677,c_0_39]) ).
cnf(c_0_695,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_678,c_0_45]) ).
cnf(c_0_696,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_679,c_0_58]) ).
cnf(c_0_697,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_680,c_0_85]) ).
cnf(c_0_698,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_681,c_0_136]) ).
cnf(c_0_699,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_682,c_0_224]) ).
cnf(c_0_700,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_683,c_0_359]) ).
cnf(c_0_701,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_684,c_0_36]) ).
cnf(c_0_702,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_685,c_0_39]) ).
cnf(c_0_703,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_686,c_0_45]) ).
cnf(c_0_704,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_687,c_0_58]) ).
cnf(c_0_705,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_688,c_0_85]) ).
cnf(c_0_706,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_689,c_0_136]) ).
cnf(c_0_707,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_690,c_0_224]) ).
cnf(c_0_708,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_691,c_0_36]) ).
cnf(c_0_709,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_692,c_0_512]) ).
cnf(c_0_710,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_693,c_0_512]) ).
cnf(c_0_711,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_694,c_0_36]) ).
cnf(c_0_712,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_695,c_0_39]) ).
cnf(c_0_713,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_696,c_0_45]) ).
cnf(c_0_714,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_697,c_0_58]) ).
cnf(c_0_715,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_698,c_0_85]) ).
cnf(c_0_716,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_699,c_0_136]) ).
cnf(c_0_717,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_700,c_0_224]) ).
cnf(c_0_718,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_701,c_0_359]) ).
cnf(c_0_719,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_702,c_0_36]) ).
cnf(c_0_720,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_703,c_0_39]) ).
cnf(c_0_721,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_704,c_0_45]) ).
cnf(c_0_722,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_705,c_0_58]) ).
cnf(c_0_723,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_706,c_0_85]) ).
cnf(c_0_724,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_707,c_0_136]) ).
cnf(c_0_725,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_708,c_0_224]) ).
cnf(c_0_726,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_709,c_0_359]) ).
cnf(c_0_727,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_710,c_0_359]) ).
cnf(c_0_728,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_711,c_0_512]) ).
cnf(c_0_729,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_712,c_0_36]) ).
cnf(c_0_730,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_713,c_0_39]) ).
cnf(c_0_731,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_714,c_0_45]) ).
cnf(c_0_732,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_715,c_0_58]) ).
cnf(c_0_733,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_716,c_0_85]) ).
cnf(c_0_734,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_717,c_0_136]) ).
cnf(c_0_735,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_718,c_0_224]) ).
cnf(c_0_736,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_719,c_0_359]) ).
cnf(c_0_737,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_720,c_0_36]) ).
cnf(c_0_738,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_721,c_0_39]) ).
cnf(c_0_739,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_722,c_0_45]) ).
cnf(c_0_740,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_723,c_0_58]) ).
cnf(c_0_741,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_724,c_0_85]) ).
cnf(c_0_742,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_725,c_0_136]) ).
cnf(c_0_743,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_726,c_0_224]) ).
cnf(c_0_744,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_727,c_0_224]) ).
cnf(c_0_745,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_728,c_0_359]) ).
cnf(c_0_746,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_729,c_0_512]) ).
cnf(c_0_747,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_730,c_0_36]) ).
cnf(c_0_748,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_731,c_0_39]) ).
cnf(c_0_749,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_732,c_0_45]) ).
cnf(c_0_750,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_733,c_0_58]) ).
cnf(c_0_751,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_734,c_0_85]) ).
cnf(c_0_752,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_735,c_0_136]) ).
cnf(c_0_753,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_736,c_0_224]) ).
cnf(c_0_754,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_737,c_0_359]) ).
cnf(c_0_755,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_738,c_0_36]) ).
cnf(c_0_756,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_739,c_0_39]) ).
cnf(c_0_757,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_740,c_0_45]) ).
cnf(c_0_758,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_741,c_0_58]) ).
cnf(c_0_759,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_742,c_0_85]) ).
cnf(c_0_760,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_743,c_0_136]) ).
cnf(c_0_761,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_744,c_0_136]) ).
cnf(c_0_762,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_745,c_0_224]) ).
cnf(c_0_763,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_746,c_0_359]) ).
cnf(c_0_764,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_747,c_0_512]) ).
cnf(c_0_765,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_748,c_0_36]) ).
cnf(c_0_766,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_749,c_0_39]) ).
cnf(c_0_767,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_750,c_0_45]) ).
cnf(c_0_768,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_751,c_0_58]) ).
cnf(c_0_769,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_752,c_0_85]) ).
cnf(c_0_770,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_753,c_0_136]) ).
cnf(c_0_771,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_754,c_0_224]) ).
cnf(c_0_772,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_755,c_0_359]) ).
cnf(c_0_773,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_756,c_0_36]) ).
cnf(c_0_774,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_757,c_0_39]) ).
cnf(c_0_775,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_758,c_0_45]) ).
cnf(c_0_776,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_759,c_0_58]) ).
cnf(c_0_777,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_760,c_0_85]) ).
cnf(c_0_778,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_761,c_0_85]) ).
cnf(c_0_779,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_762,c_0_136]) ).
cnf(c_0_780,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_763,c_0_224]) ).
cnf(c_0_781,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_764,c_0_359]) ).
cnf(c_0_782,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_765,c_0_512]) ).
cnf(c_0_783,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_766,c_0_36]) ).
cnf(c_0_784,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_767,c_0_39]) ).
cnf(c_0_785,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_768,c_0_45]) ).
cnf(c_0_786,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_769,c_0_58]) ).
cnf(c_0_787,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_770,c_0_85]) ).
cnf(c_0_788,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_771,c_0_136]) ).
cnf(c_0_789,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_772,c_0_224]) ).
cnf(c_0_790,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_773,c_0_359]) ).
cnf(c_0_791,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_774,c_0_36]) ).
cnf(c_0_792,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_775,c_0_39]) ).
cnf(c_0_793,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_776,c_0_45]) ).
cnf(c_0_794,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_777,c_0_58]) ).
cnf(c_0_795,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_778,c_0_58]) ).
cnf(c_0_796,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_779,c_0_85]) ).
cnf(c_0_797,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_780,c_0_136]) ).
cnf(c_0_798,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_781,c_0_224]) ).
cnf(c_0_799,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_782,c_0_359]) ).
cnf(c_0_800,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_783,c_0_512]) ).
cnf(c_0_801,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_784,c_0_36]) ).
cnf(c_0_802,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_785,c_0_39]) ).
cnf(c_0_803,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_786,c_0_45]) ).
cnf(c_0_804,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_787,c_0_58]) ).
cnf(c_0_805,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_788,c_0_85]) ).
cnf(c_0_806,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_789,c_0_136]) ).
cnf(c_0_807,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_790,c_0_224]) ).
cnf(c_0_808,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_791,c_0_359]) ).
cnf(c_0_809,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_792,c_0_36]) ).
cnf(c_0_810,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_793,c_0_39]) ).
cnf(c_0_811,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_794,c_0_45]) ).
cnf(c_0_812,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_795,c_0_45]) ).
cnf(c_0_813,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_796,c_0_58]) ).
cnf(c_0_814,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_797,c_0_85]) ).
cnf(c_0_815,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_798,c_0_136]) ).
cnf(c_0_816,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_799,c_0_224]) ).
cnf(c_0_817,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_800,c_0_359]) ).
cnf(c_0_818,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_801,c_0_512]) ).
cnf(c_0_819,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_802,c_0_36]) ).
cnf(c_0_820,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_803,c_0_39]) ).
cnf(c_0_821,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_804,c_0_45]) ).
cnf(c_0_822,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_805,c_0_58]) ).
cnf(c_0_823,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_806,c_0_85]) ).
cnf(c_0_824,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_807,c_0_136]) ).
cnf(c_0_825,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_808,c_0_224]) ).
cnf(c_0_826,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_809,c_0_359]) ).
cnf(c_0_827,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_810,c_0_36]) ).
cnf(c_0_828,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_811,c_0_39]) ).
cnf(c_0_829,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_812,c_0_39]) ).
cnf(c_0_830,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_813,c_0_45]) ).
cnf(c_0_831,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_814,c_0_58]) ).
cnf(c_0_832,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_815,c_0_85]) ).
cnf(c_0_833,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_816,c_0_136]) ).
cnf(c_0_834,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_817,c_0_224]) ).
cnf(c_0_835,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_818,c_0_359]) ).
cnf(c_0_836,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_819,c_0_512]) ).
cnf(c_0_837,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_820,c_0_36]) ).
cnf(c_0_838,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_821,c_0_39]) ).
cnf(c_0_839,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_822,c_0_45]) ).
cnf(c_0_840,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_823,c_0_58]) ).
cnf(c_0_841,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_824,c_0_85]) ).
cnf(c_0_842,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_825,c_0_136]) ).
cnf(c_0_843,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_826,c_0_224]) ).
cnf(c_0_844,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_827,c_0_359]) ).
cnf(c_0_845,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_828,c_0_36]) ).
cnf(c_0_846,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_829,c_0_36]) ).
cnf(c_0_847,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_830,c_0_39]) ).
cnf(c_0_848,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_831,c_0_45]) ).
cnf(c_0_849,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_832,c_0_58]) ).
cnf(c_0_850,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_833,c_0_85]) ).
cnf(c_0_851,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_834,c_0_136]) ).
cnf(c_0_852,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_835,c_0_224]) ).
cnf(c_0_853,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_836,c_0_359]) ).
cnf(c_0_854,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_837,c_0_512]) ).
cnf(c_0_855,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_838,c_0_36]) ).
cnf(c_0_856,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_839,c_0_39]) ).
cnf(c_0_857,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_840,c_0_45]) ).
cnf(c_0_858,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_841,c_0_58]) ).
cnf(c_0_859,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_842,c_0_85]) ).
cnf(c_0_860,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_843,c_0_136]) ).
cnf(c_0_861,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_844,c_0_224]) ).
cnf(c_0_862,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_845,c_0_846]) ).
cnf(c_0_863,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_847,c_0_36]) ).
cnf(c_0_864,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_848,c_0_39]) ).
cnf(c_0_865,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_849,c_0_45]) ).
cnf(c_0_866,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_850,c_0_58]) ).
cnf(c_0_867,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_851,c_0_85]) ).
cnf(c_0_868,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_852,c_0_136]) ).
cnf(c_0_869,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_853,c_0_224]) ).
cnf(c_0_870,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_854,c_0_359]) ).
cnf(c_0_871,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_855,c_0_512]) ).
cnf(c_0_872,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_856,c_0_36]) ).
cnf(c_0_873,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_857,c_0_39]) ).
cnf(c_0_874,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_858,c_0_45]) ).
cnf(c_0_875,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_859,c_0_58]) ).
cnf(c_0_876,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_860,c_0_85]) ).
cnf(c_0_877,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_861,c_0_136]) ).
cnf(c_0_878,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_862,c_0_675]) ).
cnf(c_0_879,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_863,c_0_675]) ).
cnf(c_0_880,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_864,c_0_36]) ).
cnf(c_0_881,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_865,c_0_39]) ).
cnf(c_0_882,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_866,c_0_45]) ).
cnf(c_0_883,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_867,c_0_58]) ).
cnf(c_0_884,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_868,c_0_85]) ).
cnf(c_0_885,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_869,c_0_136]) ).
cnf(c_0_886,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_870,c_0_224]) ).
cnf(c_0_887,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_871,c_0_359]) ).
cnf(c_0_888,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_872,c_0_512]) ).
cnf(c_0_889,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_873,c_0_36]) ).
cnf(c_0_890,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_874,c_0_39]) ).
cnf(c_0_891,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_875,c_0_45]) ).
cnf(c_0_892,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_876,c_0_58]) ).
cnf(c_0_893,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_877,c_0_85]) ).
cnf(c_0_894,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_878,c_0_512]) ).
cnf(c_0_895,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_879,c_0_512]) ).
cnf(c_0_896,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_880,c_0_675]) ).
cnf(c_0_897,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_881,c_0_36]) ).
cnf(c_0_898,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_882,c_0_39]) ).
cnf(c_0_899,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_883,c_0_45]) ).
cnf(c_0_900,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_884,c_0_58]) ).
cnf(c_0_901,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_885,c_0_85]) ).
cnf(c_0_902,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_886,c_0_136]) ).
cnf(c_0_903,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_887,c_0_224]) ).
cnf(c_0_904,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_888,c_0_359]) ).
cnf(c_0_905,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_889,c_0_512]) ).
cnf(c_0_906,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_890,c_0_36]) ).
cnf(c_0_907,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_891,c_0_39]) ).
cnf(c_0_908,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_892,c_0_45]) ).
cnf(c_0_909,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_893,c_0_58]) ).
cnf(c_0_910,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_894,c_0_359]) ).
cnf(c_0_911,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_895,c_0_359]) ).
cnf(c_0_912,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_896,c_0_512]) ).
cnf(c_0_913,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_897,c_0_675]) ).
cnf(c_0_914,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_898,c_0_36]) ).
cnf(c_0_915,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_899,c_0_39]) ).
cnf(c_0_916,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_900,c_0_45]) ).
cnf(c_0_917,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_901,c_0_58]) ).
cnf(c_0_918,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_902,c_0_85]) ).
cnf(c_0_919,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_903,c_0_136]) ).
cnf(c_0_920,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_904,c_0_224]) ).
cnf(c_0_921,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_905,c_0_359]) ).
cnf(c_0_922,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_906,c_0_512]) ).
cnf(c_0_923,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_907,c_0_36]) ).
cnf(c_0_924,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_908,c_0_39]) ).
cnf(c_0_925,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_909,c_0_45]) ).
cnf(c_0_926,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_910,c_0_224]) ).
cnf(c_0_927,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_911,c_0_224]) ).
cnf(c_0_928,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_912,c_0_359]) ).
cnf(c_0_929,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_913,c_0_512]) ).
cnf(c_0_930,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_914,c_0_675]) ).
cnf(c_0_931,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_915,c_0_36]) ).
cnf(c_0_932,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_916,c_0_39]) ).
cnf(c_0_933,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_917,c_0_45]) ).
cnf(c_0_934,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_918,c_0_58]) ).
cnf(c_0_935,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_919,c_0_85]) ).
cnf(c_0_936,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_920,c_0_136]) ).
cnf(c_0_937,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_921,c_0_224]) ).
cnf(c_0_938,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_922,c_0_359]) ).
cnf(c_0_939,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_923,c_0_512]) ).
cnf(c_0_940,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_924,c_0_36]) ).
cnf(c_0_941,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_925,c_0_39]) ).
cnf(c_0_942,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_926,c_0_136]) ).
cnf(c_0_943,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_927,c_0_136]) ).
cnf(c_0_944,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_928,c_0_224]) ).
cnf(c_0_945,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_929,c_0_359]) ).
cnf(c_0_946,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_930,c_0_512]) ).
cnf(c_0_947,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_931,c_0_675]) ).
cnf(c_0_948,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_932,c_0_36]) ).
cnf(c_0_949,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_933,c_0_39]) ).
cnf(c_0_950,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_934,c_0_45]) ).
cnf(c_0_951,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_935,c_0_58]) ).
cnf(c_0_952,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_936,c_0_85]) ).
cnf(c_0_953,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_937,c_0_136]) ).
cnf(c_0_954,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_938,c_0_224]) ).
cnf(c_0_955,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_939,c_0_359]) ).
cnf(c_0_956,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_940,c_0_512]) ).
cnf(c_0_957,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_941,c_0_36]) ).
cnf(c_0_958,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_942,c_0_85]) ).
cnf(c_0_959,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_943,c_0_85]) ).
cnf(c_0_960,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_944,c_0_136]) ).
cnf(c_0_961,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_945,c_0_224]) ).
cnf(c_0_962,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_946,c_0_359]) ).
cnf(c_0_963,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_947,c_0_512]) ).
cnf(c_0_964,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_948,c_0_675]) ).
cnf(c_0_965,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_949,c_0_36]) ).
cnf(c_0_966,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_950,c_0_39]) ).
cnf(c_0_967,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_951,c_0_45]) ).
cnf(c_0_968,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_952,c_0_58]) ).
cnf(c_0_969,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_953,c_0_85]) ).
cnf(c_0_970,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_954,c_0_136]) ).
cnf(c_0_971,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_955,c_0_224]) ).
cnf(c_0_972,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_956,c_0_359]) ).
cnf(c_0_973,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_957,c_0_512]) ).
cnf(c_0_974,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_958,c_0_58]) ).
cnf(c_0_975,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_959,c_0_58]) ).
cnf(c_0_976,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_960,c_0_85]) ).
cnf(c_0_977,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_961,c_0_136]) ).
cnf(c_0_978,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_962,c_0_224]) ).
cnf(c_0_979,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_963,c_0_359]) ).
cnf(c_0_980,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_964,c_0_512]) ).
cnf(c_0_981,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_965,c_0_675]) ).
cnf(c_0_982,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_966,c_0_36]) ).
cnf(c_0_983,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_967,c_0_39]) ).
cnf(c_0_984,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_968,c_0_45]) ).
cnf(c_0_985,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_969,c_0_58]) ).
cnf(c_0_986,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_970,c_0_85]) ).
cnf(c_0_987,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_971,c_0_136]) ).
cnf(c_0_988,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_972,c_0_224]) ).
cnf(c_0_989,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_973,c_0_359]) ).
cnf(c_0_990,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_974,c_0_45]) ).
cnf(c_0_991,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_975,c_0_45]) ).
cnf(c_0_992,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_976,c_0_58]) ).
cnf(c_0_993,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_977,c_0_85]) ).
cnf(c_0_994,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_978,c_0_136]) ).
cnf(c_0_995,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_979,c_0_224]) ).
cnf(c_0_996,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_980,c_0_359]) ).
cnf(c_0_997,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_981,c_0_512]) ).
cnf(c_0_998,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_982,c_0_675]) ).
cnf(c_0_999,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_983,c_0_36]) ).
cnf(c_0_1000,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_984,c_0_39]) ).
cnf(c_0_1001,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_985,c_0_45]) ).
cnf(c_0_1002,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_986,c_0_58]) ).
cnf(c_0_1003,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_987,c_0_85]) ).
cnf(c_0_1004,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_988,c_0_136]) ).
cnf(c_0_1005,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_989,c_0_224]) ).
cnf(c_0_1006,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_990,c_0_39]) ).
cnf(c_0_1007,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_991,c_0_39]) ).
cnf(c_0_1008,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_992,c_0_45]) ).
cnf(c_0_1009,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_993,c_0_58]) ).
cnf(c_0_1010,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_994,c_0_85]) ).
cnf(c_0_1011,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_995,c_0_136]) ).
cnf(c_0_1012,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_996,c_0_224]) ).
cnf(c_0_1013,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_997,c_0_359]) ).
cnf(c_0_1014,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_998,c_0_512]) ).
cnf(c_0_1015,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_999,c_0_675]) ).
cnf(c_0_1016,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1000,c_0_36]) ).
cnf(c_0_1017,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1001,c_0_39]) ).
cnf(c_0_1018,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1002,c_0_45]) ).
cnf(c_0_1019,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1003,c_0_58]) ).
cnf(c_0_1020,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1004,c_0_85]) ).
cnf(c_0_1021,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1005,c_0_136]) ).
cnf(c_0_1022,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1006,c_0_36]) ).
cnf(c_0_1023,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1007,c_0_36]) ).
cnf(c_0_1024,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1008,c_0_39]) ).
cnf(c_0_1025,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1009,c_0_45]) ).
cnf(c_0_1026,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1010,c_0_58]) ).
cnf(c_0_1027,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1011,c_0_85]) ).
cnf(c_0_1028,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1012,c_0_136]) ).
cnf(c_0_1029,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1013,c_0_224]) ).
cnf(c_0_1030,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1014,c_0_359]) ).
cnf(c_0_1031,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1015,c_0_512]) ).
cnf(c_0_1032,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1016,c_0_675]) ).
cnf(c_0_1033,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1017,c_0_36]) ).
cnf(c_0_1034,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1018,c_0_39]) ).
cnf(c_0_1035,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1019,c_0_45]) ).
cnf(c_0_1036,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1020,c_0_58]) ).
cnf(c_0_1037,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1021,c_0_85]) ).
cnf(c_0_1038,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1022,c_0_1023]) ).
cnf(c_0_1039,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1024,c_0_36]) ).
cnf(c_0_1040,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1025,c_0_39]) ).
cnf(c_0_1041,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1026,c_0_45]) ).
cnf(c_0_1042,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1027,c_0_58]) ).
cnf(c_0_1043,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1028,c_0_85]) ).
cnf(c_0_1044,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1029,c_0_136]) ).
cnf(c_0_1045,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1030,c_0_224]) ).
cnf(c_0_1046,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1031,c_0_359]) ).
cnf(c_0_1047,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1032,c_0_512]) ).
cnf(c_0_1048,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1033,c_0_675]) ).
cnf(c_0_1049,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1034,c_0_36]) ).
cnf(c_0_1050,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1035,c_0_39]) ).
cnf(c_0_1051,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1036,c_0_45]) ).
cnf(c_0_1052,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1037,c_0_58]) ).
cnf(c_0_1053,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1038,c_0_846]) ).
cnf(c_0_1054,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1039,c_0_846]) ).
cnf(c_0_1055,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1040,c_0_36]) ).
cnf(c_0_1056,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1041,c_0_39]) ).
cnf(c_0_1057,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1042,c_0_45]) ).
cnf(c_0_1058,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1043,c_0_58]) ).
cnf(c_0_1059,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1044,c_0_85]) ).
cnf(c_0_1060,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1045,c_0_136]) ).
cnf(c_0_1061,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1046,c_0_224]) ).
cnf(c_0_1062,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1047,c_0_359]) ).
cnf(c_0_1063,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1048,c_0_512]) ).
cnf(c_0_1064,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1049,c_0_675]) ).
cnf(c_0_1065,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1050,c_0_36]) ).
cnf(c_0_1066,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1051,c_0_39]) ).
cnf(c_0_1067,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1052,c_0_45]) ).
cnf(c_0_1068,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1053,c_0_675]) ).
cnf(c_0_1069,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1054,c_0_675]) ).
cnf(c_0_1070,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1055,c_0_846]) ).
cnf(c_0_1071,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1056,c_0_36]) ).
cnf(c_0_1072,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_39]) ).
cnf(c_0_1073,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1058,c_0_45]) ).
cnf(c_0_1074,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1059,c_0_58]) ).
cnf(c_0_1075,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1060,c_0_85]) ).
cnf(c_0_1076,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1061,c_0_136]) ).
cnf(c_0_1077,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1062,c_0_224]) ).
cnf(c_0_1078,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1063,c_0_359]) ).
cnf(c_0_1079,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1064,c_0_512]) ).
cnf(c_0_1080,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1065,c_0_675]) ).
cnf(c_0_1081,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1066,c_0_36]) ).
cnf(c_0_1082,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1067,c_0_39]) ).
cnf(c_0_1083,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1068,c_0_512]) ).
cnf(c_0_1084,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1069,c_0_512]) ).
cnf(c_0_1085,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1070,c_0_675]) ).
cnf(c_0_1086,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1071,c_0_846]) ).
cnf(c_0_1087,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1072,c_0_36]) ).
cnf(c_0_1088,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1073,c_0_39]) ).
cnf(c_0_1089,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1074,c_0_45]) ).
cnf(c_0_1090,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1075,c_0_58]) ).
cnf(c_0_1091,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1076,c_0_85]) ).
cnf(c_0_1092,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1077,c_0_136]) ).
cnf(c_0_1093,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1078,c_0_224]) ).
cnf(c_0_1094,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1079,c_0_359]) ).
cnf(c_0_1095,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1080,c_0_512]) ).
cnf(c_0_1096,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1081,c_0_675]) ).
cnf(c_0_1097,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1082,c_0_36]) ).
cnf(c_0_1098,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1083,c_0_359]) ).
cnf(c_0_1099,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1084,c_0_359]) ).
cnf(c_0_1100,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1085,c_0_512]) ).
cnf(c_0_1101,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1086,c_0_675]) ).
cnf(c_0_1102,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1087,c_0_846]) ).
cnf(c_0_1103,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1088,c_0_36]) ).
cnf(c_0_1104,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_39]) ).
cnf(c_0_1105,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1090,c_0_45]) ).
cnf(c_0_1106,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1091,c_0_58]) ).
cnf(c_0_1107,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1092,c_0_85]) ).
cnf(c_0_1108,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1093,c_0_136]) ).
cnf(c_0_1109,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1094,c_0_224]) ).
cnf(c_0_1110,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1095,c_0_359]) ).
cnf(c_0_1111,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1096,c_0_512]) ).
cnf(c_0_1112,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1097,c_0_675]) ).
fof(c_0_1113,plain,
( ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1)
| bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(fof_nnf,[status(thm)],[p1]) ).
cnf(c_0_1114,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1098,c_0_224]) ).
cnf(c_0_1115,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1099,c_0_224]) ).
cnf(c_0_1116,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1100,c_0_359]) ).
cnf(c_0_1117,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1101,c_0_512]) ).
cnf(c_0_1118,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1102,c_0_675]) ).
cnf(c_0_1119,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1103,c_0_846]) ).
cnf(c_0_1120,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1104,c_0_36]) ).
cnf(c_0_1121,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1105,c_0_39]) ).
cnf(c_0_1122,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1106,c_0_45]) ).
cnf(c_0_1123,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1107,c_0_58]) ).
cnf(c_0_1124,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1108,c_0_85]) ).
cnf(c_0_1125,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1109,c_0_136]) ).
cnf(c_0_1126,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1110,c_0_224]) ).
cnf(c_0_1127,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1111,c_0_359]) ).
cnf(c_0_1128,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1112,c_0_512]) ).
cnf(c_0_1129,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1130,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1114,c_0_136]) ).
cnf(c_0_1131,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1115,c_0_136]) ).
cnf(c_0_1132,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1116,c_0_224]) ).
cnf(c_0_1133,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1117,c_0_359]) ).
cnf(c_0_1134,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1118,c_0_512]) ).
cnf(c_0_1135,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1119,c_0_675]) ).
cnf(c_0_1136,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1120,c_0_846]) ).
cnf(c_0_1137,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1121,c_0_36]) ).
cnf(c_0_1138,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1122,c_0_39]) ).
cnf(c_0_1139,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1123,c_0_45]) ).
cnf(c_0_1140,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1124,c_0_58]) ).
cnf(c_0_1141,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1125,c_0_85]) ).
cnf(c_0_1142,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1126,c_0_136]) ).
cnf(c_0_1143,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1127,c_0_224]) ).
cnf(c_0_1144,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1128,c_0_359]) ).
cnf(c_0_1145,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0) ),
inference(spm,[status(thm)],[c_0_1129,c_0_36]) ).
cnf(c_0_1146,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1130,c_0_85]) ).
cnf(c_0_1147,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1131,c_0_85]) ).
cnf(c_0_1148,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1132,c_0_136]) ).
cnf(c_0_1149,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1133,c_0_224]) ).
cnf(c_0_1150,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1134,c_0_359]) ).
cnf(c_0_1151,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1135,c_0_512]) ).
cnf(c_0_1152,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1136,c_0_675]) ).
cnf(c_0_1153,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1137,c_0_846]) ).
cnf(c_0_1154,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1138,c_0_36]) ).
cnf(c_0_1155,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1139,c_0_39]) ).
cnf(c_0_1156,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1140,c_0_45]) ).
cnf(c_0_1157,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1141,c_0_58]) ).
cnf(c_0_1158,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1142,c_0_85]) ).
cnf(c_0_1159,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1143,c_0_136]) ).
cnf(c_0_1160,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1144,c_0_224]) ).
cnf(c_0_1161,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1) ),
inference(spm,[status(thm)],[c_0_1145,c_0_39]) ).
cnf(c_0_1162,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_1146,c_0_58]) ).
cnf(c_0_1163,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1147,c_0_58]) ).
cnf(c_0_1164,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1148,c_0_85]) ).
cnf(c_0_1165,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1149,c_0_136]) ).
cnf(c_0_1166,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1150,c_0_224]) ).
cnf(c_0_1167,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1151,c_0_359]) ).
cnf(c_0_1168,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1152,c_0_512]) ).
cnf(c_0_1169,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1153,c_0_675]) ).
cnf(c_0_1170,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1154,c_0_846]) ).
cnf(c_0_1171,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1155,c_0_36]) ).
cnf(c_0_1172,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1156,c_0_39]) ).
cnf(c_0_1173,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1157,c_0_45]) ).
cnf(c_0_1174,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1158,c_0_58]) ).
cnf(c_0_1175,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1159,c_0_85]) ).
cnf(c_0_1176,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1160,c_0_136]) ).
cnf(c_0_1177,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1161,c_0_36]) ).
cnf(c_0_1178,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_1162,c_0_45]) ).
cnf(c_0_1179,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1163,c_0_45]) ).
cnf(c_0_1180,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1164,c_0_58]) ).
cnf(c_0_1181,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1165,c_0_85]) ).
cnf(c_0_1182,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1166,c_0_136]) ).
cnf(c_0_1183,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1167,c_0_224]) ).
cnf(c_0_1184,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1168,c_0_359]) ).
cnf(c_0_1185,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1169,c_0_512]) ).
cnf(c_0_1186,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1170,c_0_675]) ).
cnf(c_0_1187,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1171,c_0_846]) ).
cnf(c_0_1188,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1172,c_0_36]) ).
cnf(c_0_1189,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1173,c_0_39]) ).
cnf(c_0_1190,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1174,c_0_45]) ).
cnf(c_0_1191,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1175,c_0_58]) ).
cnf(c_0_1192,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1176,c_0_85]) ).
cnf(c_0_1193,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1177,c_0_45]) ).
cnf(c_0_1194,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_1178,c_0_39]) ).
cnf(c_0_1195,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1179,c_0_39]) ).
cnf(c_0_1196,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1180,c_0_45]) ).
cnf(c_0_1197,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1181,c_0_58]) ).
cnf(c_0_1198,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1182,c_0_85]) ).
cnf(c_0_1199,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1183,c_0_136]) ).
cnf(c_0_1200,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1184,c_0_224]) ).
cnf(c_0_1201,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1185,c_0_359]) ).
cnf(c_0_1202,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1186,c_0_512]) ).
cnf(c_0_1203,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1187,c_0_675]) ).
cnf(c_0_1204,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1188,c_0_846]) ).
cnf(c_0_1205,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1189,c_0_36]) ).
cnf(c_0_1206,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1190,c_0_39]) ).
cnf(c_0_1207,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1191,c_0_45]) ).
cnf(c_0_1208,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1192,c_0_58]) ).
cnf(c_0_1209,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1193,c_0_39]) ).
cnf(c_0_1210,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1194,c_0_36]) ).
cnf(c_0_1211,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1195,c_0_36]) ).
cnf(c_0_1212,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1196,c_0_39]) ).
cnf(c_0_1213,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1197,c_0_45]) ).
cnf(c_0_1214,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1198,c_0_58]) ).
cnf(c_0_1215,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1199,c_0_85]) ).
cnf(c_0_1216,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1200,c_0_136]) ).
cnf(c_0_1217,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1201,c_0_224]) ).
cnf(c_0_1218,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1202,c_0_359]) ).
cnf(c_0_1219,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1203,c_0_512]) ).
cnf(c_0_1220,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1204,c_0_675]) ).
cnf(c_0_1221,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1205,c_0_846]) ).
cnf(c_0_1222,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1206,c_0_36]) ).
cnf(c_0_1223,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1207,c_0_39]) ).
cnf(c_0_1224,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1208,c_0_45]) ).
cnf(c_0_1225,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1209,c_0_36]) ).
cnf(c_0_1226,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1210,c_0_1211]) ).
cnf(c_0_1227,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1212,c_0_36]) ).
cnf(c_0_1228,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1213,c_0_39]) ).
cnf(c_0_1229,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1214,c_0_45]) ).
cnf(c_0_1230,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1215,c_0_58]) ).
cnf(c_0_1231,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1216,c_0_85]) ).
cnf(c_0_1232,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1217,c_0_136]) ).
cnf(c_0_1233,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1218,c_0_224]) ).
cnf(c_0_1234,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1219,c_0_359]) ).
cnf(c_0_1235,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1220,c_0_512]) ).
cnf(c_0_1236,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1221,c_0_675]) ).
cnf(c_0_1237,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1222,c_0_846]) ).
cnf(c_0_1238,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1223,c_0_36]) ).
cnf(c_0_1239,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1224,c_0_39]) ).
cnf(c_0_1240,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1225,c_0_58]) ).
cnf(c_0_1241,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1226,c_0_1023]) ).
cnf(c_0_1242,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1227,c_0_1023]) ).
cnf(c_0_1243,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1228,c_0_36]) ).
cnf(c_0_1244,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1229,c_0_39]) ).
cnf(c_0_1245,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1230,c_0_45]) ).
cnf(c_0_1246,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1231,c_0_58]) ).
cnf(c_0_1247,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1232,c_0_85]) ).
cnf(c_0_1248,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1233,c_0_136]) ).
cnf(c_0_1249,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1234,c_0_224]) ).
cnf(c_0_1250,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1235,c_0_359]) ).
cnf(c_0_1251,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1236,c_0_512]) ).
cnf(c_0_1252,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1237,c_0_675]) ).
cnf(c_0_1253,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1238,c_0_846]) ).
cnf(c_0_1254,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1239,c_0_36]) ).
cnf(c_0_1255,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1240,c_0_45]) ).
cnf(c_0_1256,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1241,c_0_846]) ).
cnf(c_0_1257,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1242,c_0_846]) ).
cnf(c_0_1258,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1243,c_0_1023]) ).
cnf(c_0_1259,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1244,c_0_36]) ).
cnf(c_0_1260,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1245,c_0_39]) ).
cnf(c_0_1261,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1246,c_0_45]) ).
cnf(c_0_1262,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1247,c_0_58]) ).
cnf(c_0_1263,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1248,c_0_85]) ).
cnf(c_0_1264,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1249,c_0_136]) ).
cnf(c_0_1265,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1250,c_0_224]) ).
cnf(c_0_1266,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1251,c_0_359]) ).
cnf(c_0_1267,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1252,c_0_512]) ).
cnf(c_0_1268,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1253,c_0_675]) ).
cnf(c_0_1269,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1254,c_0_846]) ).
cnf(c_0_1270,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1255,c_0_39]) ).
cnf(c_0_1271,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1256,c_0_675]) ).
cnf(c_0_1272,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1257,c_0_675]) ).
cnf(c_0_1273,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1258,c_0_846]) ).
cnf(c_0_1274,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1259,c_0_1023]) ).
cnf(c_0_1275,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1260,c_0_36]) ).
cnf(c_0_1276,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1261,c_0_39]) ).
cnf(c_0_1277,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1262,c_0_45]) ).
cnf(c_0_1278,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1263,c_0_58]) ).
cnf(c_0_1279,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1264,c_0_85]) ).
cnf(c_0_1280,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1265,c_0_136]) ).
cnf(c_0_1281,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1266,c_0_224]) ).
cnf(c_0_1282,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1267,c_0_359]) ).
cnf(c_0_1283,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1268,c_0_512]) ).
cnf(c_0_1284,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1269,c_0_675]) ).
cnf(c_0_1285,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1270,c_0_36]) ).
cnf(c_0_1286,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1271,c_0_512]) ).
cnf(c_0_1287,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1272,c_0_512]) ).
cnf(c_0_1288,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1273,c_0_675]) ).
cnf(c_0_1289,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1274,c_0_846]) ).
cnf(c_0_1290,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1275,c_0_1023]) ).
cnf(c_0_1291,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1276,c_0_36]) ).
cnf(c_0_1292,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1277,c_0_39]) ).
cnf(c_0_1293,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1278,c_0_45]) ).
cnf(c_0_1294,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1279,c_0_58]) ).
cnf(c_0_1295,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1280,c_0_85]) ).
cnf(c_0_1296,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1281,c_0_136]) ).
cnf(c_0_1297,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1282,c_0_224]) ).
cnf(c_0_1298,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1283,c_0_359]) ).
cnf(c_0_1299,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1284,c_0_512]) ).
cnf(c_0_1300,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1285,c_0_85]) ).
cnf(c_0_1301,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1286,c_0_359]) ).
cnf(c_0_1302,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1287,c_0_359]) ).
cnf(c_0_1303,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1288,c_0_512]) ).
cnf(c_0_1304,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1289,c_0_675]) ).
cnf(c_0_1305,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1290,c_0_846]) ).
cnf(c_0_1306,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1291,c_0_1023]) ).
cnf(c_0_1307,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1292,c_0_36]) ).
cnf(c_0_1308,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1293,c_0_39]) ).
cnf(c_0_1309,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1294,c_0_45]) ).
cnf(c_0_1310,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1295,c_0_58]) ).
cnf(c_0_1311,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1296,c_0_85]) ).
cnf(c_0_1312,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1297,c_0_136]) ).
cnf(c_0_1313,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1298,c_0_224]) ).
cnf(c_0_1314,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1299,c_0_359]) ).
cnf(c_0_1315,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1300,c_0_58]) ).
cnf(c_0_1316,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1301,c_0_224]) ).
cnf(c_0_1317,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1302,c_0_224]) ).
cnf(c_0_1318,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1303,c_0_359]) ).
cnf(c_0_1319,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1304,c_0_512]) ).
cnf(c_0_1320,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1305,c_0_675]) ).
cnf(c_0_1321,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1306,c_0_846]) ).
cnf(c_0_1322,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1307,c_0_1023]) ).
cnf(c_0_1323,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1308,c_0_36]) ).
cnf(c_0_1324,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1309,c_0_39]) ).
cnf(c_0_1325,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1310,c_0_45]) ).
cnf(c_0_1326,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1311,c_0_58]) ).
cnf(c_0_1327,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1312,c_0_85]) ).
cnf(c_0_1328,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1313,c_0_136]) ).
cnf(c_0_1329,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1314,c_0_224]) ).
cnf(c_0_1330,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1315,c_0_45]) ).
cnf(c_0_1331,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1316,c_0_136]) ).
cnf(c_0_1332,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1317,c_0_136]) ).
cnf(c_0_1333,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1318,c_0_224]) ).
cnf(c_0_1334,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1319,c_0_359]) ).
cnf(c_0_1335,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1320,c_0_512]) ).
cnf(c_0_1336,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1321,c_0_675]) ).
cnf(c_0_1337,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1322,c_0_846]) ).
cnf(c_0_1338,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1323,c_0_1023]) ).
cnf(c_0_1339,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1324,c_0_36]) ).
cnf(c_0_1340,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1325,c_0_39]) ).
cnf(c_0_1341,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1326,c_0_45]) ).
cnf(c_0_1342,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1327,c_0_58]) ).
cnf(c_0_1343,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1328,c_0_85]) ).
cnf(c_0_1344,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1329,c_0_136]) ).
cnf(c_0_1345,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1330,c_0_39]) ).
cnf(c_0_1346,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1331,c_0_85]) ).
cnf(c_0_1347,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1332,c_0_85]) ).
cnf(c_0_1348,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1333,c_0_136]) ).
cnf(c_0_1349,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1334,c_0_224]) ).
cnf(c_0_1350,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1335,c_0_359]) ).
cnf(c_0_1351,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1336,c_0_512]) ).
cnf(c_0_1352,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1337,c_0_675]) ).
cnf(c_0_1353,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1338,c_0_846]) ).
cnf(c_0_1354,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1339,c_0_1023]) ).
cnf(c_0_1355,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1340,c_0_36]) ).
cnf(c_0_1356,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1341,c_0_39]) ).
cnf(c_0_1357,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1342,c_0_45]) ).
cnf(c_0_1358,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1343,c_0_58]) ).
cnf(c_0_1359,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1344,c_0_85]) ).
cnf(c_0_1360,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1345,c_0_36]) ).
cnf(c_0_1361,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_1346,c_0_58]) ).
cnf(c_0_1362,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1347,c_0_58]) ).
cnf(c_0_1363,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1348,c_0_85]) ).
cnf(c_0_1364,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1349,c_0_136]) ).
cnf(c_0_1365,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1350,c_0_224]) ).
cnf(c_0_1366,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1351,c_0_359]) ).
cnf(c_0_1367,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1352,c_0_512]) ).
cnf(c_0_1368,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1353,c_0_675]) ).
cnf(c_0_1369,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1354,c_0_846]) ).
cnf(c_0_1370,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1355,c_0_1023]) ).
cnf(c_0_1371,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1356,c_0_36]) ).
cnf(c_0_1372,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1357,c_0_39]) ).
cnf(c_0_1373,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1358,c_0_45]) ).
cnf(c_0_1374,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1359,c_0_58]) ).
cnf(c_0_1375,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1360,c_0_136]) ).
cnf(c_0_1376,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_1361,c_0_45]) ).
cnf(c_0_1377,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1362,c_0_45]) ).
cnf(c_0_1378,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1363,c_0_58]) ).
cnf(c_0_1379,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1364,c_0_85]) ).
cnf(c_0_1380,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1365,c_0_136]) ).
cnf(c_0_1381,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1366,c_0_224]) ).
cnf(c_0_1382,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1367,c_0_359]) ).
cnf(c_0_1383,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1368,c_0_512]) ).
cnf(c_0_1384,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1369,c_0_675]) ).
cnf(c_0_1385,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1370,c_0_846]) ).
cnf(c_0_1386,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1371,c_0_1023]) ).
cnf(c_0_1387,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1372,c_0_36]) ).
cnf(c_0_1388,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1373,c_0_39]) ).
cnf(c_0_1389,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1374,c_0_45]) ).
cnf(c_0_1390,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1375,c_0_85]) ).
cnf(c_0_1391,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_1376,c_0_39]) ).
cnf(c_0_1392,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1377,c_0_39]) ).
cnf(c_0_1393,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1378,c_0_45]) ).
cnf(c_0_1394,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1379,c_0_58]) ).
cnf(c_0_1395,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1380,c_0_85]) ).
cnf(c_0_1396,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1381,c_0_136]) ).
cnf(c_0_1397,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1382,c_0_224]) ).
cnf(c_0_1398,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1383,c_0_359]) ).
cnf(c_0_1399,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1384,c_0_512]) ).
cnf(c_0_1400,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1385,c_0_675]) ).
cnf(c_0_1401,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1386,c_0_846]) ).
cnf(c_0_1402,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1023]) ).
cnf(c_0_1403,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1388,c_0_36]) ).
cnf(c_0_1404,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1389,c_0_39]) ).
cnf(c_0_1405,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1390,c_0_58]) ).
cnf(c_0_1406,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1391,c_0_36]) ).
cnf(c_0_1407,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1392,c_0_36]) ).
cnf(c_0_1408,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1393,c_0_39]) ).
cnf(c_0_1409,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1394,c_0_45]) ).
cnf(c_0_1410,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1395,c_0_58]) ).
cnf(c_0_1411,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1396,c_0_85]) ).
cnf(c_0_1412,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1397,c_0_136]) ).
cnf(c_0_1413,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1398,c_0_224]) ).
cnf(c_0_1414,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1399,c_0_359]) ).
cnf(c_0_1415,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1400,c_0_512]) ).
cnf(c_0_1416,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1401,c_0_675]) ).
cnf(c_0_1417,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1402,c_0_846]) ).
cnf(c_0_1418,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1403,c_0_1023]) ).
cnf(c_0_1419,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1404,c_0_36]) ).
cnf(c_0_1420,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1405,c_0_45]) ).
cnf(c_0_1421,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1406,c_0_1407]) ).
cnf(c_0_1422,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1408,c_0_36]) ).
cnf(c_0_1423,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1409,c_0_39]) ).
cnf(c_0_1424,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1410,c_0_45]) ).
cnf(c_0_1425,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1411,c_0_58]) ).
cnf(c_0_1426,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1412,c_0_85]) ).
cnf(c_0_1427,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1413,c_0_136]) ).
cnf(c_0_1428,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1414,c_0_224]) ).
cnf(c_0_1429,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1415,c_0_359]) ).
cnf(c_0_1430,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1416,c_0_512]) ).
cnf(c_0_1431,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1417,c_0_675]) ).
cnf(c_0_1432,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1418,c_0_846]) ).
cnf(c_0_1433,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1419,c_0_1023]) ).
cnf(c_0_1434,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1420,c_0_39]) ).
cnf(c_0_1435,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1421,c_0_1211]) ).
cnf(c_0_1436,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1422,c_0_1211]) ).
cnf(c_0_1437,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1423,c_0_36]) ).
cnf(c_0_1438,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1424,c_0_39]) ).
cnf(c_0_1439,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1425,c_0_45]) ).
cnf(c_0_1440,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1426,c_0_58]) ).
cnf(c_0_1441,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1427,c_0_85]) ).
cnf(c_0_1442,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1428,c_0_136]) ).
cnf(c_0_1443,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1429,c_0_224]) ).
cnf(c_0_1444,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1430,c_0_359]) ).
cnf(c_0_1445,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1431,c_0_512]) ).
cnf(c_0_1446,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1432,c_0_675]) ).
cnf(c_0_1447,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1433,c_0_846]) ).
cnf(c_0_1448,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1434,c_0_36]) ).
cnf(c_0_1449,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1435,c_0_1023]) ).
cnf(c_0_1450,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1436,c_0_1023]) ).
cnf(c_0_1451,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1437,c_0_1211]) ).
cnf(c_0_1452,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1438,c_0_36]) ).
cnf(c_0_1453,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1439,c_0_39]) ).
cnf(c_0_1454,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1440,c_0_45]) ).
cnf(c_0_1455,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1441,c_0_58]) ).
cnf(c_0_1456,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1442,c_0_85]) ).
cnf(c_0_1457,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1443,c_0_136]) ).
cnf(c_0_1458,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1444,c_0_224]) ).
cnf(c_0_1459,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1445,c_0_359]) ).
cnf(c_0_1460,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1446,c_0_512]) ).
cnf(c_0_1461,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1447,c_0_675]) ).
cnf(c_0_1462,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1448,c_0_224]) ).
cnf(c_0_1463,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1449,c_0_846]) ).
cnf(c_0_1464,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1450,c_0_846]) ).
cnf(c_0_1465,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1451,c_0_1023]) ).
cnf(c_0_1466,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1452,c_0_1211]) ).
cnf(c_0_1467,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1453,c_0_36]) ).
cnf(c_0_1468,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1454,c_0_39]) ).
cnf(c_0_1469,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1455,c_0_45]) ).
cnf(c_0_1470,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1456,c_0_58]) ).
cnf(c_0_1471,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1457,c_0_85]) ).
cnf(c_0_1472,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1458,c_0_136]) ).
cnf(c_0_1473,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1459,c_0_224]) ).
cnf(c_0_1474,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1460,c_0_359]) ).
cnf(c_0_1475,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1461,c_0_512]) ).
cnf(c_0_1476,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1462,c_0_136]) ).
cnf(c_0_1477,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1463,c_0_675]) ).
cnf(c_0_1478,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1464,c_0_675]) ).
cnf(c_0_1479,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1465,c_0_846]) ).
cnf(c_0_1480,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1466,c_0_1023]) ).
cnf(c_0_1481,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1467,c_0_1211]) ).
cnf(c_0_1482,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1468,c_0_36]) ).
cnf(c_0_1483,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1469,c_0_39]) ).
cnf(c_0_1484,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1470,c_0_45]) ).
cnf(c_0_1485,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1471,c_0_58]) ).
cnf(c_0_1486,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1472,c_0_85]) ).
cnf(c_0_1487,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1473,c_0_136]) ).
cnf(c_0_1488,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1474,c_0_224]) ).
cnf(c_0_1489,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1475,c_0_359]) ).
cnf(c_0_1490,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1476,c_0_85]) ).
cnf(c_0_1491,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1477,c_0_512]) ).
cnf(c_0_1492,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1478,c_0_512]) ).
cnf(c_0_1493,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1479,c_0_675]) ).
cnf(c_0_1494,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1480,c_0_846]) ).
cnf(c_0_1495,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1481,c_0_1023]) ).
cnf(c_0_1496,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1482,c_0_1211]) ).
cnf(c_0_1497,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1483,c_0_36]) ).
cnf(c_0_1498,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1484,c_0_39]) ).
cnf(c_0_1499,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1485,c_0_45]) ).
cnf(c_0_1500,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1486,c_0_58]) ).
cnf(c_0_1501,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1487,c_0_85]) ).
cnf(c_0_1502,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1488,c_0_136]) ).
cnf(c_0_1503,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1489,c_0_224]) ).
cnf(c_0_1504,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1490,c_0_58]) ).
cnf(c_0_1505,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1491,c_0_359]) ).
cnf(c_0_1506,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1492,c_0_359]) ).
cnf(c_0_1507,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1493,c_0_512]) ).
cnf(c_0_1508,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1494,c_0_675]) ).
cnf(c_0_1509,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1495,c_0_846]) ).
cnf(c_0_1510,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1496,c_0_1023]) ).
cnf(c_0_1511,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1497,c_0_1211]) ).
cnf(c_0_1512,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1498,c_0_36]) ).
cnf(c_0_1513,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1499,c_0_39]) ).
cnf(c_0_1514,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1500,c_0_45]) ).
cnf(c_0_1515,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1501,c_0_58]) ).
cnf(c_0_1516,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1502,c_0_85]) ).
cnf(c_0_1517,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1503,c_0_136]) ).
cnf(c_0_1518,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1504,c_0_45]) ).
cnf(c_0_1519,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1505,c_0_224]) ).
cnf(c_0_1520,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1506,c_0_224]) ).
cnf(c_0_1521,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1507,c_0_359]) ).
cnf(c_0_1522,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1508,c_0_512]) ).
cnf(c_0_1523,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1509,c_0_675]) ).
cnf(c_0_1524,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1510,c_0_846]) ).
cnf(c_0_1525,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1511,c_0_1023]) ).
cnf(c_0_1526,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1512,c_0_1211]) ).
cnf(c_0_1527,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1513,c_0_36]) ).
cnf(c_0_1528,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1514,c_0_39]) ).
cnf(c_0_1529,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1515,c_0_45]) ).
cnf(c_0_1530,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1516,c_0_58]) ).
cnf(c_0_1531,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1517,c_0_85]) ).
cnf(c_0_1532,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1518,c_0_39]) ).
cnf(c_0_1533,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1519,c_0_136]) ).
cnf(c_0_1534,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1520,c_0_136]) ).
cnf(c_0_1535,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1521,c_0_224]) ).
cnf(c_0_1536,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1522,c_0_359]) ).
cnf(c_0_1537,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1523,c_0_512]) ).
cnf(c_0_1538,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1524,c_0_675]) ).
cnf(c_0_1539,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1525,c_0_846]) ).
cnf(c_0_1540,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1023]) ).
cnf(c_0_1541,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1527,c_0_1211]) ).
cnf(c_0_1542,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1528,c_0_36]) ).
cnf(c_0_1543,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1529,c_0_39]) ).
cnf(c_0_1544,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1530,c_0_45]) ).
cnf(c_0_1545,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1531,c_0_58]) ).
cnf(c_0_1546,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1532,c_0_36]) ).
cnf(c_0_1547,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1533,c_0_85]) ).
cnf(c_0_1548,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1534,c_0_85]) ).
cnf(c_0_1549,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1535,c_0_136]) ).
cnf(c_0_1550,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1536,c_0_224]) ).
cnf(c_0_1551,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1537,c_0_359]) ).
cnf(c_0_1552,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1538,c_0_512]) ).
cnf(c_0_1553,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1539,c_0_675]) ).
cnf(c_0_1554,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1540,c_0_846]) ).
cnf(c_0_1555,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1541,c_0_1023]) ).
cnf(c_0_1556,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1542,c_0_1211]) ).
cnf(c_0_1557,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1543,c_0_36]) ).
cnf(c_0_1558,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1544,c_0_39]) ).
cnf(c_0_1559,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1545,c_0_45]) ).
cnf(c_0_1560,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1546,c_0_359]) ).
cnf(c_0_1561,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_1547,c_0_58]) ).
cnf(c_0_1562,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1548,c_0_58]) ).
cnf(c_0_1563,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1549,c_0_85]) ).
cnf(c_0_1564,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1550,c_0_136]) ).
cnf(c_0_1565,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1551,c_0_224]) ).
cnf(c_0_1566,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1552,c_0_359]) ).
cnf(c_0_1567,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1553,c_0_512]) ).
cnf(c_0_1568,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1554,c_0_675]) ).
cnf(c_0_1569,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1555,c_0_846]) ).
cnf(c_0_1570,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1556,c_0_1023]) ).
cnf(c_0_1571,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1557,c_0_1211]) ).
cnf(c_0_1572,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1558,c_0_36]) ).
cnf(c_0_1573,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1559,c_0_39]) ).
cnf(c_0_1574,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1560,c_0_224]) ).
cnf(c_0_1575,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_1561,c_0_45]) ).
cnf(c_0_1576,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1562,c_0_45]) ).
cnf(c_0_1577,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1563,c_0_58]) ).
cnf(c_0_1578,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1564,c_0_85]) ).
cnf(c_0_1579,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1565,c_0_136]) ).
cnf(c_0_1580,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1566,c_0_224]) ).
cnf(c_0_1581,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1567,c_0_359]) ).
cnf(c_0_1582,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1568,c_0_512]) ).
cnf(c_0_1583,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1569,c_0_675]) ).
cnf(c_0_1584,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1570,c_0_846]) ).
cnf(c_0_1585,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1571,c_0_1023]) ).
cnf(c_0_1586,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1572,c_0_1211]) ).
cnf(c_0_1587,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1573,c_0_36]) ).
cnf(c_0_1588,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1574,c_0_136]) ).
cnf(c_0_1589,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_1575,c_0_39]) ).
cnf(c_0_1590,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1576,c_0_39]) ).
cnf(c_0_1591,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1577,c_0_45]) ).
cnf(c_0_1592,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1578,c_0_58]) ).
cnf(c_0_1593,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1579,c_0_85]) ).
cnf(c_0_1594,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1580,c_0_136]) ).
cnf(c_0_1595,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1581,c_0_224]) ).
cnf(c_0_1596,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1582,c_0_359]) ).
cnf(c_0_1597,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1583,c_0_512]) ).
cnf(c_0_1598,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1584,c_0_675]) ).
cnf(c_0_1599,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1585,c_0_846]) ).
cnf(c_0_1600,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1586,c_0_1023]) ).
cnf(c_0_1601,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1587,c_0_1211]) ).
cnf(c_0_1602,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1588,c_0_85]) ).
cnf(c_0_1603,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1589,c_0_36]) ).
cnf(c_0_1604,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1590,c_0_36]) ).
cnf(c_0_1605,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1591,c_0_39]) ).
cnf(c_0_1606,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1592,c_0_45]) ).
cnf(c_0_1607,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1593,c_0_58]) ).
cnf(c_0_1608,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1594,c_0_85]) ).
cnf(c_0_1609,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1595,c_0_136]) ).
cnf(c_0_1610,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1596,c_0_224]) ).
cnf(c_0_1611,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1597,c_0_359]) ).
cnf(c_0_1612,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1598,c_0_512]) ).
cnf(c_0_1613,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1599,c_0_675]) ).
cnf(c_0_1614,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1600,c_0_846]) ).
cnf(c_0_1615,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1601,c_0_1023]) ).
cnf(c_0_1616,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1602,c_0_58]) ).
cnf(c_0_1617,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1603,c_0_1604]) ).
cnf(c_0_1618,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1605,c_0_36]) ).
cnf(c_0_1619,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1606,c_0_39]) ).
cnf(c_0_1620,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1607,c_0_45]) ).
cnf(c_0_1621,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1608,c_0_58]) ).
cnf(c_0_1622,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1609,c_0_85]) ).
cnf(c_0_1623,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1610,c_0_136]) ).
cnf(c_0_1624,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1611,c_0_224]) ).
cnf(c_0_1625,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1612,c_0_359]) ).
cnf(c_0_1626,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1613,c_0_512]) ).
cnf(c_0_1627,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1614,c_0_675]) ).
cnf(c_0_1628,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1615,c_0_846]) ).
cnf(c_0_1629,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1616,c_0_45]) ).
cnf(c_0_1630,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1617,c_0_1407]) ).
cnf(c_0_1631,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1618,c_0_1407]) ).
cnf(c_0_1632,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1619,c_0_36]) ).
cnf(c_0_1633,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1620,c_0_39]) ).
cnf(c_0_1634,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1621,c_0_45]) ).
cnf(c_0_1635,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1622,c_0_58]) ).
cnf(c_0_1636,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1623,c_0_85]) ).
cnf(c_0_1637,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1624,c_0_136]) ).
cnf(c_0_1638,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1625,c_0_224]) ).
cnf(c_0_1639,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1626,c_0_359]) ).
cnf(c_0_1640,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1627,c_0_512]) ).
cnf(c_0_1641,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1628,c_0_675]) ).
cnf(c_0_1642,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1629,c_0_39]) ).
cnf(c_0_1643,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1630,c_0_1211]) ).
cnf(c_0_1644,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1631,c_0_1211]) ).
cnf(c_0_1645,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1632,c_0_1407]) ).
cnf(c_0_1646,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1633,c_0_36]) ).
cnf(c_0_1647,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1634,c_0_39]) ).
cnf(c_0_1648,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1635,c_0_45]) ).
cnf(c_0_1649,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1636,c_0_58]) ).
cnf(c_0_1650,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1637,c_0_85]) ).
cnf(c_0_1651,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1638,c_0_136]) ).
cnf(c_0_1652,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1639,c_0_224]) ).
cnf(c_0_1653,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1640,c_0_359]) ).
cnf(c_0_1654,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1641,c_0_512]) ).
cnf(c_0_1655,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1642,c_0_36]) ).
cnf(c_0_1656,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1643,c_0_1023]) ).
cnf(c_0_1657,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1644,c_0_1023]) ).
cnf(c_0_1658,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1645,c_0_1211]) ).
cnf(c_0_1659,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1646,c_0_1407]) ).
cnf(c_0_1660,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1647,c_0_36]) ).
cnf(c_0_1661,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1648,c_0_39]) ).
cnf(c_0_1662,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1649,c_0_45]) ).
cnf(c_0_1663,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1650,c_0_58]) ).
cnf(c_0_1664,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1651,c_0_85]) ).
cnf(c_0_1665,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1652,c_0_136]) ).
cnf(c_0_1666,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1653,c_0_224]) ).
cnf(c_0_1667,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1654,c_0_359]) ).
cnf(c_0_1668,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1655,c_0_512]) ).
cnf(c_0_1669,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1656,c_0_846]) ).
cnf(c_0_1670,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1657,c_0_846]) ).
cnf(c_0_1671,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1658,c_0_1023]) ).
cnf(c_0_1672,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1659,c_0_1211]) ).
cnf(c_0_1673,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1660,c_0_1407]) ).
cnf(c_0_1674,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1661,c_0_36]) ).
cnf(c_0_1675,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1662,c_0_39]) ).
cnf(c_0_1676,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1663,c_0_45]) ).
cnf(c_0_1677,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1664,c_0_58]) ).
cnf(c_0_1678,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1665,c_0_85]) ).
cnf(c_0_1679,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1666,c_0_136]) ).
cnf(c_0_1680,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1667,c_0_224]) ).
cnf(c_0_1681,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1668,c_0_359]) ).
cnf(c_0_1682,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1669,c_0_675]) ).
cnf(c_0_1683,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1670,c_0_675]) ).
cnf(c_0_1684,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1671,c_0_846]) ).
cnf(c_0_1685,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1672,c_0_1023]) ).
cnf(c_0_1686,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1673,c_0_1211]) ).
cnf(c_0_1687,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1674,c_0_1407]) ).
cnf(c_0_1688,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1675,c_0_36]) ).
cnf(c_0_1689,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1676,c_0_39]) ).
cnf(c_0_1690,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1677,c_0_45]) ).
cnf(c_0_1691,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1678,c_0_58]) ).
cnf(c_0_1692,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1679,c_0_85]) ).
cnf(c_0_1693,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1680,c_0_136]) ).
cnf(c_0_1694,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1681,c_0_224]) ).
cnf(c_0_1695,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1682,c_0_512]) ).
cnf(c_0_1696,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1683,c_0_512]) ).
cnf(c_0_1697,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1684,c_0_675]) ).
cnf(c_0_1698,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1685,c_0_846]) ).
cnf(c_0_1699,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1686,c_0_1023]) ).
cnf(c_0_1700,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1687,c_0_1211]) ).
cnf(c_0_1701,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1688,c_0_1407]) ).
cnf(c_0_1702,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1689,c_0_36]) ).
cnf(c_0_1703,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1690,c_0_39]) ).
cnf(c_0_1704,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1691,c_0_45]) ).
cnf(c_0_1705,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1692,c_0_58]) ).
cnf(c_0_1706,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1693,c_0_85]) ).
cnf(c_0_1707,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1694,c_0_136]) ).
cnf(c_0_1708,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1695,c_0_359]) ).
cnf(c_0_1709,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1696,c_0_359]) ).
cnf(c_0_1710,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1697,c_0_512]) ).
cnf(c_0_1711,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1698,c_0_675]) ).
cnf(c_0_1712,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1699,c_0_846]) ).
cnf(c_0_1713,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1700,c_0_1023]) ).
cnf(c_0_1714,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1701,c_0_1211]) ).
cnf(c_0_1715,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1702,c_0_1407]) ).
cnf(c_0_1716,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1703,c_0_36]) ).
cnf(c_0_1717,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1704,c_0_39]) ).
cnf(c_0_1718,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1705,c_0_45]) ).
cnf(c_0_1719,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1706,c_0_58]) ).
cnf(c_0_1720,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1707,c_0_85]) ).
cnf(c_0_1721,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1708,c_0_224]) ).
cnf(c_0_1722,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1709,c_0_224]) ).
cnf(c_0_1723,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1710,c_0_359]) ).
cnf(c_0_1724,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1711,c_0_512]) ).
cnf(c_0_1725,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1712,c_0_675]) ).
cnf(c_0_1726,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1713,c_0_846]) ).
cnf(c_0_1727,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1714,c_0_1023]) ).
cnf(c_0_1728,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1715,c_0_1211]) ).
cnf(c_0_1729,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1716,c_0_1407]) ).
cnf(c_0_1730,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1717,c_0_36]) ).
cnf(c_0_1731,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1718,c_0_39]) ).
cnf(c_0_1732,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1719,c_0_45]) ).
cnf(c_0_1733,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1720,c_0_58]) ).
cnf(c_0_1734,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1721,c_0_136]) ).
cnf(c_0_1735,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1722,c_0_136]) ).
cnf(c_0_1736,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1723,c_0_224]) ).
cnf(c_0_1737,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1724,c_0_359]) ).
cnf(c_0_1738,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1725,c_0_512]) ).
cnf(c_0_1739,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1726,c_0_675]) ).
cnf(c_0_1740,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1727,c_0_846]) ).
cnf(c_0_1741,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1728,c_0_1023]) ).
cnf(c_0_1742,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1211]) ).
cnf(c_0_1743,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1730,c_0_1407]) ).
cnf(c_0_1744,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1731,c_0_36]) ).
cnf(c_0_1745,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1732,c_0_39]) ).
cnf(c_0_1746,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1733,c_0_45]) ).
cnf(c_0_1747,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1734,c_0_85]) ).
cnf(c_0_1748,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1735,c_0_85]) ).
cnf(c_0_1749,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1736,c_0_136]) ).
cnf(c_0_1750,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1737,c_0_224]) ).
cnf(c_0_1751,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1738,c_0_359]) ).
cnf(c_0_1752,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1739,c_0_512]) ).
cnf(c_0_1753,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1740,c_0_675]) ).
cnf(c_0_1754,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1741,c_0_846]) ).
cnf(c_0_1755,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1742,c_0_1023]) ).
cnf(c_0_1756,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1743,c_0_1211]) ).
cnf(c_0_1757,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1744,c_0_1407]) ).
cnf(c_0_1758,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1745,c_0_36]) ).
cnf(c_0_1759,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1746,c_0_39]) ).
cnf(c_0_1760,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_1747,c_0_58]) ).
cnf(c_0_1761,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1748,c_0_58]) ).
cnf(c_0_1762,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1749,c_0_85]) ).
cnf(c_0_1763,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1750,c_0_136]) ).
cnf(c_0_1764,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1751,c_0_224]) ).
cnf(c_0_1765,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1752,c_0_359]) ).
cnf(c_0_1766,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1753,c_0_512]) ).
cnf(c_0_1767,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1754,c_0_675]) ).
cnf(c_0_1768,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1755,c_0_846]) ).
cnf(c_0_1769,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1756,c_0_1023]) ).
cnf(c_0_1770,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1757,c_0_1211]) ).
cnf(c_0_1771,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1758,c_0_1407]) ).
cnf(c_0_1772,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1759,c_0_36]) ).
cnf(c_0_1773,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_1760,c_0_45]) ).
cnf(c_0_1774,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1761,c_0_45]) ).
cnf(c_0_1775,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1762,c_0_58]) ).
cnf(c_0_1776,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1763,c_0_85]) ).
cnf(c_0_1777,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1764,c_0_136]) ).
cnf(c_0_1778,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1765,c_0_224]) ).
cnf(c_0_1779,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1766,c_0_359]) ).
cnf(c_0_1780,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1767,c_0_512]) ).
cnf(c_0_1781,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1768,c_0_675]) ).
cnf(c_0_1782,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1769,c_0_846]) ).
cnf(c_0_1783,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1770,c_0_1023]) ).
cnf(c_0_1784,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1771,c_0_1211]) ).
cnf(c_0_1785,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1772,c_0_675]) ).
cnf(c_0_1786,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_1773,c_0_39]) ).
cnf(c_0_1787,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1774,c_0_39]) ).
cnf(c_0_1788,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1775,c_0_45]) ).
cnf(c_0_1789,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1776,c_0_58]) ).
cnf(c_0_1790,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1777,c_0_85]) ).
cnf(c_0_1791,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1778,c_0_136]) ).
cnf(c_0_1792,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1779,c_0_224]) ).
cnf(c_0_1793,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1780,c_0_359]) ).
cnf(c_0_1794,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1781,c_0_512]) ).
cnf(c_0_1795,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1782,c_0_675]) ).
cnf(c_0_1796,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1783,c_0_846]) ).
cnf(c_0_1797,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1784,c_0_1023]) ).
cnf(c_0_1798,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1785,c_0_512]) ).
cnf(c_0_1799,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1786,c_0_36]) ).
cnf(c_0_1800,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1787,c_0_36]) ).
cnf(c_0_1801,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1788,c_0_39]) ).
cnf(c_0_1802,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1789,c_0_45]) ).
cnf(c_0_1803,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1790,c_0_58]) ).
cnf(c_0_1804,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1791,c_0_85]) ).
cnf(c_0_1805,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1792,c_0_136]) ).
cnf(c_0_1806,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1793,c_0_224]) ).
cnf(c_0_1807,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1794,c_0_359]) ).
cnf(c_0_1808,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1795,c_0_512]) ).
cnf(c_0_1809,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1796,c_0_675]) ).
cnf(c_0_1810,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1797,c_0_846]) ).
cnf(c_0_1811,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1798,c_0_359]) ).
cnf(c_0_1812,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1799,c_0_1800]) ).
cnf(c_0_1813,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1801,c_0_36]) ).
cnf(c_0_1814,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1802,c_0_39]) ).
cnf(c_0_1815,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1803,c_0_45]) ).
cnf(c_0_1816,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1804,c_0_58]) ).
cnf(c_0_1817,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1805,c_0_85]) ).
cnf(c_0_1818,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1806,c_0_136]) ).
cnf(c_0_1819,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1807,c_0_224]) ).
cnf(c_0_1820,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1808,c_0_359]) ).
cnf(c_0_1821,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1809,c_0_512]) ).
cnf(c_0_1822,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1810,c_0_675]) ).
cnf(c_0_1823,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1811,c_0_224]) ).
cnf(c_0_1824,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1812,c_0_1604]) ).
cnf(c_0_1825,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1813,c_0_1604]) ).
cnf(c_0_1826,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1814,c_0_36]) ).
cnf(c_0_1827,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1815,c_0_39]) ).
cnf(c_0_1828,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1816,c_0_45]) ).
cnf(c_0_1829,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1817,c_0_58]) ).
cnf(c_0_1830,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1818,c_0_85]) ).
cnf(c_0_1831,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1819,c_0_136]) ).
cnf(c_0_1832,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1820,c_0_224]) ).
cnf(c_0_1833,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1821,c_0_359]) ).
cnf(c_0_1834,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1822,c_0_512]) ).
cnf(c_0_1835,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1823,c_0_136]) ).
cnf(c_0_1836,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1824,c_0_1407]) ).
cnf(c_0_1837,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1825,c_0_1407]) ).
cnf(c_0_1838,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1826,c_0_1604]) ).
cnf(c_0_1839,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1827,c_0_36]) ).
cnf(c_0_1840,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1828,c_0_39]) ).
cnf(c_0_1841,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1829,c_0_45]) ).
cnf(c_0_1842,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1830,c_0_58]) ).
cnf(c_0_1843,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1831,c_0_85]) ).
cnf(c_0_1844,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1832,c_0_136]) ).
cnf(c_0_1845,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1833,c_0_224]) ).
cnf(c_0_1846,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1834,c_0_359]) ).
cnf(c_0_1847,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1835,c_0_85]) ).
cnf(c_0_1848,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1836,c_0_1211]) ).
cnf(c_0_1849,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1837,c_0_1211]) ).
cnf(c_0_1850,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1838,c_0_1407]) ).
cnf(c_0_1851,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1839,c_0_1604]) ).
cnf(c_0_1852,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1840,c_0_36]) ).
cnf(c_0_1853,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1841,c_0_39]) ).
cnf(c_0_1854,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1842,c_0_45]) ).
cnf(c_0_1855,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1843,c_0_58]) ).
cnf(c_0_1856,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1844,c_0_85]) ).
cnf(c_0_1857,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1845,c_0_136]) ).
cnf(c_0_1858,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1846,c_0_224]) ).
cnf(c_0_1859,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1847,c_0_58]) ).
cnf(c_0_1860,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1848,c_0_1023]) ).
cnf(c_0_1861,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1849,c_0_1023]) ).
cnf(c_0_1862,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1850,c_0_1211]) ).
cnf(c_0_1863,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1851,c_0_1407]) ).
cnf(c_0_1864,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1852,c_0_1604]) ).
cnf(c_0_1865,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1853,c_0_36]) ).
cnf(c_0_1866,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1854,c_0_39]) ).
cnf(c_0_1867,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1855,c_0_45]) ).
cnf(c_0_1868,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1856,c_0_58]) ).
cnf(c_0_1869,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1857,c_0_85]) ).
cnf(c_0_1870,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1858,c_0_136]) ).
cnf(c_0_1871,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1859,c_0_45]) ).
cnf(c_0_1872,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1860,c_0_846]) ).
cnf(c_0_1873,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1861,c_0_846]) ).
cnf(c_0_1874,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1862,c_0_1023]) ).
cnf(c_0_1875,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1863,c_0_1211]) ).
cnf(c_0_1876,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1864,c_0_1407]) ).
cnf(c_0_1877,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1865,c_0_1604]) ).
cnf(c_0_1878,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1866,c_0_36]) ).
cnf(c_0_1879,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1867,c_0_39]) ).
cnf(c_0_1880,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1868,c_0_45]) ).
cnf(c_0_1881,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1869,c_0_58]) ).
cnf(c_0_1882,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1870,c_0_85]) ).
cnf(c_0_1883,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1871,c_0_39]) ).
cnf(c_0_1884,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1872,c_0_675]) ).
cnf(c_0_1885,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1873,c_0_675]) ).
cnf(c_0_1886,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1874,c_0_846]) ).
cnf(c_0_1887,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1875,c_0_1023]) ).
cnf(c_0_1888,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1876,c_0_1211]) ).
cnf(c_0_1889,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1877,c_0_1407]) ).
cnf(c_0_1890,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1878,c_0_1604]) ).
cnf(c_0_1891,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1879,c_0_36]) ).
cnf(c_0_1892,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1880,c_0_39]) ).
cnf(c_0_1893,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1881,c_0_45]) ).
cnf(c_0_1894,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1882,c_0_58]) ).
cnf(c_0_1895,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1883,c_0_36]) ).
cnf(c_0_1896,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1884,c_0_512]) ).
cnf(c_0_1897,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1885,c_0_512]) ).
cnf(c_0_1898,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1886,c_0_675]) ).
cnf(c_0_1899,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1887,c_0_846]) ).
cnf(c_0_1900,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1888,c_0_1023]) ).
cnf(c_0_1901,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1889,c_0_1211]) ).
cnf(c_0_1902,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1890,c_0_1407]) ).
cnf(c_0_1903,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1891,c_0_1604]) ).
cnf(c_0_1904,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1892,c_0_36]) ).
cnf(c_0_1905,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1893,c_0_39]) ).
cnf(c_0_1906,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1894,c_0_45]) ).
cnf(c_0_1907,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1895,c_0_846]) ).
cnf(c_0_1908,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1896,c_0_359]) ).
cnf(c_0_1909,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1897,c_0_359]) ).
cnf(c_0_1910,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1898,c_0_512]) ).
cnf(c_0_1911,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1899,c_0_675]) ).
cnf(c_0_1912,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1900,c_0_846]) ).
cnf(c_0_1913,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1901,c_0_1023]) ).
cnf(c_0_1914,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1902,c_0_1211]) ).
cnf(c_0_1915,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1903,c_0_1407]) ).
cnf(c_0_1916,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1904,c_0_1604]) ).
cnf(c_0_1917,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1905,c_0_36]) ).
cnf(c_0_1918,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1906,c_0_39]) ).
cnf(c_0_1919,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1907,c_0_675]) ).
cnf(c_0_1920,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1908,c_0_224]) ).
cnf(c_0_1921,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1909,c_0_224]) ).
cnf(c_0_1922,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1910,c_0_359]) ).
cnf(c_0_1923,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1911,c_0_512]) ).
cnf(c_0_1924,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1912,c_0_675]) ).
cnf(c_0_1925,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1913,c_0_846]) ).
cnf(c_0_1926,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1914,c_0_1023]) ).
cnf(c_0_1927,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1915,c_0_1211]) ).
cnf(c_0_1928,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1916,c_0_1407]) ).
cnf(c_0_1929,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1917,c_0_1604]) ).
cnf(c_0_1930,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1918,c_0_36]) ).
cnf(c_0_1931,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1919,c_0_512]) ).
cnf(c_0_1932,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1920,c_0_136]) ).
cnf(c_0_1933,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1921,c_0_136]) ).
cnf(c_0_1934,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1922,c_0_224]) ).
cnf(c_0_1935,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1923,c_0_359]) ).
cnf(c_0_1936,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1924,c_0_512]) ).
cnf(c_0_1937,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1925,c_0_675]) ).
cnf(c_0_1938,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1926,c_0_846]) ).
cnf(c_0_1939,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1927,c_0_1023]) ).
cnf(c_0_1940,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1928,c_0_1211]) ).
cnf(c_0_1941,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1929,c_0_1407]) ).
cnf(c_0_1942,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1930,c_0_1604]) ).
cnf(c_0_1943,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1931,c_0_359]) ).
cnf(c_0_1944,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1932,c_0_85]) ).
cnf(c_0_1945,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1933,c_0_85]) ).
cnf(c_0_1946,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1934,c_0_136]) ).
cnf(c_0_1947,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1935,c_0_224]) ).
cnf(c_0_1948,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1936,c_0_359]) ).
cnf(c_0_1949,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1937,c_0_512]) ).
cnf(c_0_1950,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1938,c_0_675]) ).
cnf(c_0_1951,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1939,c_0_846]) ).
cnf(c_0_1952,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1940,c_0_1023]) ).
cnf(c_0_1953,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1941,c_0_1211]) ).
cnf(c_0_1954,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1942,c_0_1407]) ).
cnf(c_0_1955,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1943,c_0_224]) ).
cnf(c_0_1956,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_1944,c_0_58]) ).
cnf(c_0_1957,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1945,c_0_58]) ).
cnf(c_0_1958,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1946,c_0_85]) ).
cnf(c_0_1959,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1947,c_0_136]) ).
cnf(c_0_1960,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1948,c_0_224]) ).
cnf(c_0_1961,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1949,c_0_359]) ).
cnf(c_0_1962,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1950,c_0_512]) ).
cnf(c_0_1963,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1951,c_0_675]) ).
cnf(c_0_1964,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1952,c_0_846]) ).
cnf(c_0_1965,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1953,c_0_1023]) ).
cnf(c_0_1966,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1954,c_0_1211]) ).
cnf(c_0_1967,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1955,c_0_136]) ).
cnf(c_0_1968,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_1956,c_0_45]) ).
cnf(c_0_1969,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1957,c_0_45]) ).
cnf(c_0_1970,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1958,c_0_58]) ).
cnf(c_0_1971,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1959,c_0_85]) ).
cnf(c_0_1972,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1960,c_0_136]) ).
cnf(c_0_1973,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1961,c_0_224]) ).
cnf(c_0_1974,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1962,c_0_359]) ).
cnf(c_0_1975,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1963,c_0_512]) ).
cnf(c_0_1976,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1964,c_0_675]) ).
cnf(c_0_1977,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1965,c_0_846]) ).
cnf(c_0_1978,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1966,c_0_1023]) ).
cnf(c_0_1979,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1967,c_0_85]) ).
cnf(c_0_1980,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_1968,c_0_39]) ).
cnf(c_0_1981,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1969,c_0_39]) ).
cnf(c_0_1982,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1970,c_0_45]) ).
cnf(c_0_1983,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1971,c_0_58]) ).
cnf(c_0_1984,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1972,c_0_85]) ).
cnf(c_0_1985,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1973,c_0_136]) ).
cnf(c_0_1986,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1974,c_0_224]) ).
cnf(c_0_1987,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1975,c_0_359]) ).
cnf(c_0_1988,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1976,c_0_512]) ).
cnf(c_0_1989,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1977,c_0_675]) ).
cnf(c_0_1990,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1978,c_0_846]) ).
cnf(c_0_1991,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1979,c_0_58]) ).
cnf(c_0_1992,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1980,c_0_36]) ).
cnf(c_0_1993,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1981,c_0_36]) ).
cnf(c_0_1994,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1982,c_0_39]) ).
cnf(c_0_1995,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1983,c_0_45]) ).
cnf(c_0_1996,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1984,c_0_58]) ).
cnf(c_0_1997,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1985,c_0_85]) ).
cnf(c_0_1998,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1986,c_0_136]) ).
cnf(c_0_1999,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1987,c_0_224]) ).
cnf(c_0_2000,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1988,c_0_359]) ).
cnf(c_0_2001,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1989,c_0_512]) ).
cnf(c_0_2002,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1990,c_0_675]) ).
cnf(c_0_2003,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1991,c_0_45]) ).
cnf(c_0_2004,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_1992,c_0_1993]) ).
cnf(c_0_2005,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1994,c_0_36]) ).
cnf(c_0_2006,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_1995,c_0_39]) ).
cnf(c_0_2007,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_1996,c_0_45]) ).
cnf(c_0_2008,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_1997,c_0_58]) ).
cnf(c_0_2009,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1998,c_0_85]) ).
cnf(c_0_2010,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_1999,c_0_136]) ).
cnf(c_0_2011,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2000,c_0_224]) ).
cnf(c_0_2012,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2001,c_0_359]) ).
cnf(c_0_2013,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2002,c_0_512]) ).
cnf(c_0_2014,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2003,c_0_39]) ).
cnf(c_0_2015,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2004,c_0_1800]) ).
cnf(c_0_2016,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2005,c_0_1800]) ).
cnf(c_0_2017,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2006,c_0_36]) ).
cnf(c_0_2018,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2007,c_0_39]) ).
cnf(c_0_2019,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2008,c_0_45]) ).
cnf(c_0_2020,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2009,c_0_58]) ).
cnf(c_0_2021,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2010,c_0_85]) ).
cnf(c_0_2022,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2011,c_0_136]) ).
cnf(c_0_2023,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2012,c_0_224]) ).
cnf(c_0_2024,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2013,c_0_359]) ).
cnf(c_0_2025,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2014,c_0_36]) ).
cnf(c_0_2026,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2015,c_0_1604]) ).
cnf(c_0_2027,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2016,c_0_1604]) ).
cnf(c_0_2028,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2017,c_0_1800]) ).
cnf(c_0_2029,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2018,c_0_36]) ).
cnf(c_0_2030,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2019,c_0_39]) ).
cnf(c_0_2031,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2020,c_0_45]) ).
cnf(c_0_2032,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2021,c_0_58]) ).
cnf(c_0_2033,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2022,c_0_85]) ).
cnf(c_0_2034,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2023,c_0_136]) ).
cnf(c_0_2035,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2024,c_0_224]) ).
cnf(c_0_2036,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2025,c_0_1023]) ).
cnf(c_0_2037,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2026,c_0_1407]) ).
cnf(c_0_2038,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2027,c_0_1407]) ).
cnf(c_0_2039,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2028,c_0_1604]) ).
cnf(c_0_2040,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2029,c_0_1800]) ).
cnf(c_0_2041,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2030,c_0_36]) ).
cnf(c_0_2042,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2031,c_0_39]) ).
cnf(c_0_2043,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2032,c_0_45]) ).
cnf(c_0_2044,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2033,c_0_58]) ).
cnf(c_0_2045,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2034,c_0_85]) ).
cnf(c_0_2046,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2035,c_0_136]) ).
cnf(c_0_2047,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2036,c_0_846]) ).
cnf(c_0_2048,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2037,c_0_1211]) ).
cnf(c_0_2049,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2038,c_0_1211]) ).
cnf(c_0_2050,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2039,c_0_1407]) ).
cnf(c_0_2051,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2040,c_0_1604]) ).
cnf(c_0_2052,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2041,c_0_1800]) ).
cnf(c_0_2053,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2042,c_0_36]) ).
cnf(c_0_2054,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2043,c_0_39]) ).
cnf(c_0_2055,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2044,c_0_45]) ).
cnf(c_0_2056,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2045,c_0_58]) ).
cnf(c_0_2057,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2046,c_0_85]) ).
cnf(c_0_2058,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2047,c_0_675]) ).
cnf(c_0_2059,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2048,c_0_1023]) ).
cnf(c_0_2060,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2049,c_0_1023]) ).
cnf(c_0_2061,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2050,c_0_1211]) ).
cnf(c_0_2062,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2051,c_0_1407]) ).
cnf(c_0_2063,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2052,c_0_1604]) ).
cnf(c_0_2064,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2053,c_0_1800]) ).
cnf(c_0_2065,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2054,c_0_36]) ).
cnf(c_0_2066,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2055,c_0_39]) ).
cnf(c_0_2067,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2056,c_0_45]) ).
cnf(c_0_2068,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2057,c_0_58]) ).
cnf(c_0_2069,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2058,c_0_512]) ).
cnf(c_0_2070,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2059,c_0_846]) ).
cnf(c_0_2071,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2060,c_0_846]) ).
cnf(c_0_2072,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2061,c_0_1023]) ).
cnf(c_0_2073,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2062,c_0_1211]) ).
cnf(c_0_2074,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2063,c_0_1407]) ).
cnf(c_0_2075,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2064,c_0_1604]) ).
cnf(c_0_2076,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2065,c_0_1800]) ).
cnf(c_0_2077,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2066,c_0_36]) ).
cnf(c_0_2078,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2067,c_0_39]) ).
cnf(c_0_2079,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2068,c_0_45]) ).
cnf(c_0_2080,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2069,c_0_359]) ).
cnf(c_0_2081,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2070,c_0_675]) ).
cnf(c_0_2082,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2071,c_0_675]) ).
cnf(c_0_2083,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2072,c_0_846]) ).
cnf(c_0_2084,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2073,c_0_1023]) ).
cnf(c_0_2085,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2074,c_0_1211]) ).
cnf(c_0_2086,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2075,c_0_1407]) ).
cnf(c_0_2087,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2076,c_0_1604]) ).
cnf(c_0_2088,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2077,c_0_1800]) ).
cnf(c_0_2089,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2078,c_0_36]) ).
cnf(c_0_2090,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2079,c_0_39]) ).
cnf(c_0_2091,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2080,c_0_224]) ).
cnf(c_0_2092,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2081,c_0_512]) ).
cnf(c_0_2093,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2082,c_0_512]) ).
cnf(c_0_2094,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2083,c_0_675]) ).
cnf(c_0_2095,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2084,c_0_846]) ).
cnf(c_0_2096,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2085,c_0_1023]) ).
cnf(c_0_2097,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2086,c_0_1211]) ).
cnf(c_0_2098,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2087,c_0_1407]) ).
cnf(c_0_2099,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2088,c_0_1604]) ).
cnf(c_0_2100,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2089,c_0_1800]) ).
cnf(c_0_2101,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2090,c_0_36]) ).
cnf(c_0_2102,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2091,c_0_136]) ).
cnf(c_0_2103,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2092,c_0_359]) ).
cnf(c_0_2104,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2093,c_0_359]) ).
cnf(c_0_2105,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2094,c_0_512]) ).
cnf(c_0_2106,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2095,c_0_675]) ).
cnf(c_0_2107,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2096,c_0_846]) ).
cnf(c_0_2108,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1023]) ).
cnf(c_0_2109,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2098,c_0_1211]) ).
cnf(c_0_2110,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2099,c_0_1407]) ).
cnf(c_0_2111,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2100,c_0_1604]) ).
cnf(c_0_2112,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2101,c_0_1800]) ).
cnf(c_0_2113,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2102,c_0_85]) ).
cnf(c_0_2114,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2103,c_0_224]) ).
cnf(c_0_2115,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2104,c_0_224]) ).
cnf(c_0_2116,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2105,c_0_359]) ).
cnf(c_0_2117,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2106,c_0_512]) ).
cnf(c_0_2118,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2107,c_0_675]) ).
cnf(c_0_2119,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2108,c_0_846]) ).
cnf(c_0_2120,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2109,c_0_1023]) ).
cnf(c_0_2121,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2110,c_0_1211]) ).
cnf(c_0_2122,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2111,c_0_1407]) ).
cnf(c_0_2123,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2112,c_0_1604]) ).
cnf(c_0_2124,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2113,c_0_58]) ).
cnf(c_0_2125,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2114,c_0_136]) ).
cnf(c_0_2126,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2115,c_0_136]) ).
cnf(c_0_2127,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2116,c_0_224]) ).
cnf(c_0_2128,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2117,c_0_359]) ).
cnf(c_0_2129,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2118,c_0_512]) ).
cnf(c_0_2130,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2119,c_0_675]) ).
cnf(c_0_2131,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2120,c_0_846]) ).
cnf(c_0_2132,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2121,c_0_1023]) ).
cnf(c_0_2133,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2122,c_0_1211]) ).
cnf(c_0_2134,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2123,c_0_1407]) ).
cnf(c_0_2135,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2124,c_0_45]) ).
cnf(c_0_2136,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2125,c_0_85]) ).
cnf(c_0_2137,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2126,c_0_85]) ).
cnf(c_0_2138,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2127,c_0_136]) ).
cnf(c_0_2139,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2128,c_0_224]) ).
cnf(c_0_2140,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2129,c_0_359]) ).
cnf(c_0_2141,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2130,c_0_512]) ).
cnf(c_0_2142,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2131,c_0_675]) ).
cnf(c_0_2143,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2132,c_0_846]) ).
cnf(c_0_2144,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1023]) ).
cnf(c_0_2145,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2134,c_0_1211]) ).
cnf(c_0_2146,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2135,c_0_39]) ).
cnf(c_0_2147,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_2136,c_0_58]) ).
cnf(c_0_2148,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2137,c_0_58]) ).
cnf(c_0_2149,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2138,c_0_85]) ).
cnf(c_0_2150,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2139,c_0_136]) ).
cnf(c_0_2151,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2140,c_0_224]) ).
cnf(c_0_2152,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2141,c_0_359]) ).
cnf(c_0_2153,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2142,c_0_512]) ).
cnf(c_0_2154,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2143,c_0_675]) ).
cnf(c_0_2155,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2144,c_0_846]) ).
cnf(c_0_2156,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2145,c_0_1023]) ).
cnf(c_0_2157,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2146,c_0_36]) ).
cnf(c_0_2158,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_2147,c_0_45]) ).
cnf(c_0_2159,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2148,c_0_45]) ).
cnf(c_0_2160,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2149,c_0_58]) ).
cnf(c_0_2161,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2150,c_0_85]) ).
cnf(c_0_2162,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2151,c_0_136]) ).
cnf(c_0_2163,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2152,c_0_224]) ).
cnf(c_0_2164,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2153,c_0_359]) ).
cnf(c_0_2165,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2154,c_0_512]) ).
cnf(c_0_2166,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2155,c_0_675]) ).
cnf(c_0_2167,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2156,c_0_846]) ).
cnf(c_0_2168,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2157,c_0_1211]) ).
cnf(c_0_2169,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_2158,c_0_39]) ).
cnf(c_0_2170,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2159,c_0_39]) ).
cnf(c_0_2171,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2160,c_0_45]) ).
cnf(c_0_2172,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2161,c_0_58]) ).
cnf(c_0_2173,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2162,c_0_85]) ).
cnf(c_0_2174,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2163,c_0_136]) ).
cnf(c_0_2175,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2164,c_0_224]) ).
cnf(c_0_2176,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2165,c_0_359]) ).
cnf(c_0_2177,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2166,c_0_512]) ).
cnf(c_0_2178,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2167,c_0_675]) ).
cnf(c_0_2179,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2168,c_0_1023]) ).
cnf(c_0_2180,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2169,c_0_36]) ).
cnf(c_0_2181,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,X9,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2170,c_0_36]) ).
cnf(c_0_2182,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2171,c_0_39]) ).
cnf(c_0_2183,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2172,c_0_45]) ).
cnf(c_0_2184,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2173,c_0_58]) ).
cnf(c_0_2185,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2174,c_0_85]) ).
cnf(c_0_2186,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2175,c_0_136]) ).
cnf(c_0_2187,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2176,c_0_224]) ).
cnf(c_0_2188,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2177,c_0_359]) ).
cnf(c_0_2189,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2178,c_0_512]) ).
cnf(c_0_2190,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2179,c_0_846]) ).
cnf(c_0_2191,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2180,c_0_2181]) ).
cnf(c_0_2192,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2182,c_0_36]) ).
cnf(c_0_2193,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2183,c_0_39]) ).
cnf(c_0_2194,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2184,c_0_45]) ).
cnf(c_0_2195,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2185,c_0_58]) ).
cnf(c_0_2196,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2186,c_0_85]) ).
cnf(c_0_2197,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2187,c_0_136]) ).
cnf(c_0_2198,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2188,c_0_224]) ).
cnf(c_0_2199,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2189,c_0_359]) ).
cnf(c_0_2200,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2190,c_0_675]) ).
cnf(c_0_2201,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2191,c_0_1993]) ).
cnf(c_0_2202,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2192,c_0_1993]) ).
cnf(c_0_2203,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2193,c_0_36]) ).
cnf(c_0_2204,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2194,c_0_39]) ).
cnf(c_0_2205,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2195,c_0_45]) ).
cnf(c_0_2206,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2196,c_0_58]) ).
cnf(c_0_2207,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2197,c_0_85]) ).
cnf(c_0_2208,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2198,c_0_136]) ).
cnf(c_0_2209,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2199,c_0_224]) ).
cnf(c_0_2210,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2200,c_0_512]) ).
cnf(c_0_2211,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2201,c_0_1800]) ).
cnf(c_0_2212,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2202,c_0_1800]) ).
cnf(c_0_2213,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2203,c_0_1993]) ).
cnf(c_0_2214,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2204,c_0_36]) ).
cnf(c_0_2215,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2205,c_0_39]) ).
cnf(c_0_2216,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2206,c_0_45]) ).
cnf(c_0_2217,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2207,c_0_58]) ).
cnf(c_0_2218,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2208,c_0_85]) ).
cnf(c_0_2219,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2209,c_0_136]) ).
cnf(c_0_2220,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2210,c_0_359]) ).
cnf(c_0_2221,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2211,c_0_1604]) ).
cnf(c_0_2222,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2212,c_0_1604]) ).
cnf(c_0_2223,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2213,c_0_1800]) ).
cnf(c_0_2224,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2214,c_0_1993]) ).
cnf(c_0_2225,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2215,c_0_36]) ).
cnf(c_0_2226,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2216,c_0_39]) ).
cnf(c_0_2227,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2217,c_0_45]) ).
cnf(c_0_2228,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2218,c_0_58]) ).
cnf(c_0_2229,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2219,c_0_85]) ).
cnf(c_0_2230,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2220,c_0_224]) ).
cnf(c_0_2231,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2221,c_0_1407]) ).
cnf(c_0_2232,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2222,c_0_1407]) ).
cnf(c_0_2233,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2223,c_0_1604]) ).
cnf(c_0_2234,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2224,c_0_1800]) ).
cnf(c_0_2235,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2225,c_0_1993]) ).
cnf(c_0_2236,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2226,c_0_36]) ).
cnf(c_0_2237,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2227,c_0_39]) ).
cnf(c_0_2238,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2228,c_0_45]) ).
cnf(c_0_2239,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2229,c_0_58]) ).
cnf(c_0_2240,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2230,c_0_136]) ).
cnf(c_0_2241,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2231,c_0_1211]) ).
cnf(c_0_2242,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2232,c_0_1211]) ).
cnf(c_0_2243,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2233,c_0_1407]) ).
cnf(c_0_2244,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2234,c_0_1604]) ).
cnf(c_0_2245,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2235,c_0_1800]) ).
cnf(c_0_2246,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2236,c_0_1993]) ).
cnf(c_0_2247,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2237,c_0_36]) ).
cnf(c_0_2248,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2238,c_0_39]) ).
cnf(c_0_2249,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2239,c_0_45]) ).
cnf(c_0_2250,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2240,c_0_85]) ).
cnf(c_0_2251,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2241,c_0_1023]) ).
cnf(c_0_2252,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2242,c_0_1023]) ).
cnf(c_0_2253,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2243,c_0_1211]) ).
cnf(c_0_2254,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2244,c_0_1407]) ).
cnf(c_0_2255,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2245,c_0_1604]) ).
cnf(c_0_2256,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2246,c_0_1800]) ).
cnf(c_0_2257,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2247,c_0_1993]) ).
cnf(c_0_2258,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2248,c_0_36]) ).
cnf(c_0_2259,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2249,c_0_39]) ).
cnf(c_0_2260,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2250,c_0_58]) ).
cnf(c_0_2261,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2251,c_0_846]) ).
cnf(c_0_2262,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2252,c_0_846]) ).
cnf(c_0_2263,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2253,c_0_1023]) ).
cnf(c_0_2264,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2254,c_0_1211]) ).
cnf(c_0_2265,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2255,c_0_1407]) ).
cnf(c_0_2266,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2256,c_0_1604]) ).
cnf(c_0_2267,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2257,c_0_1800]) ).
cnf(c_0_2268,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2258,c_0_1993]) ).
cnf(c_0_2269,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2259,c_0_36]) ).
cnf(c_0_2270,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2260,c_0_45]) ).
cnf(c_0_2271,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2261,c_0_675]) ).
cnf(c_0_2272,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2262,c_0_675]) ).
cnf(c_0_2273,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2263,c_0_846]) ).
cnf(c_0_2274,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2264,c_0_1023]) ).
cnf(c_0_2275,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2265,c_0_1211]) ).
cnf(c_0_2276,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2266,c_0_1407]) ).
cnf(c_0_2277,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2267,c_0_1604]) ).
cnf(c_0_2278,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2268,c_0_1800]) ).
cnf(c_0_2279,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2269,c_0_1993]) ).
cnf(c_0_2280,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2270,c_0_39]) ).
cnf(c_0_2281,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2271,c_0_512]) ).
cnf(c_0_2282,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2272,c_0_512]) ).
cnf(c_0_2283,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2273,c_0_675]) ).
cnf(c_0_2284,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2274,c_0_846]) ).
cnf(c_0_2285,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2275,c_0_1023]) ).
cnf(c_0_2286,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2276,c_0_1211]) ).
cnf(c_0_2287,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2277,c_0_1407]) ).
cnf(c_0_2288,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2278,c_0_1604]) ).
cnf(c_0_2289,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2279,c_0_1800]) ).
cnf(c_0_2290,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2280,c_0_36]) ).
cnf(c_0_2291,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2281,c_0_359]) ).
cnf(c_0_2292,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2282,c_0_359]) ).
cnf(c_0_2293,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2283,c_0_512]) ).
cnf(c_0_2294,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2284,c_0_675]) ).
cnf(c_0_2295,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2285,c_0_846]) ).
cnf(c_0_2296,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2286,c_0_1023]) ).
cnf(c_0_2297,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2287,c_0_1211]) ).
cnf(c_0_2298,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2288,c_0_1407]) ).
cnf(c_0_2299,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2289,c_0_1604]) ).
cnf(c_0_2300,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2290,c_0_1407]) ).
cnf(c_0_2301,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2291,c_0_224]) ).
cnf(c_0_2302,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2292,c_0_224]) ).
cnf(c_0_2303,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2293,c_0_359]) ).
cnf(c_0_2304,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2294,c_0_512]) ).
cnf(c_0_2305,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2295,c_0_675]) ).
cnf(c_0_2306,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2296,c_0_846]) ).
cnf(c_0_2307,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2297,c_0_1023]) ).
cnf(c_0_2308,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2298,c_0_1211]) ).
cnf(c_0_2309,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2299,c_0_1407]) ).
cnf(c_0_2310,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2300,c_0_1211]) ).
cnf(c_0_2311,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2301,c_0_136]) ).
cnf(c_0_2312,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2302,c_0_136]) ).
cnf(c_0_2313,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2303,c_0_224]) ).
cnf(c_0_2314,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2304,c_0_359]) ).
cnf(c_0_2315,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2305,c_0_512]) ).
cnf(c_0_2316,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2306,c_0_675]) ).
cnf(c_0_2317,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2307,c_0_846]) ).
cnf(c_0_2318,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2308,c_0_1023]) ).
cnf(c_0_2319,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2309,c_0_1211]) ).
cnf(c_0_2320,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2310,c_0_1023]) ).
cnf(c_0_2321,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2311,c_0_85]) ).
cnf(c_0_2322,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2312,c_0_85]) ).
cnf(c_0_2323,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2313,c_0_136]) ).
cnf(c_0_2324,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2314,c_0_224]) ).
cnf(c_0_2325,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2315,c_0_359]) ).
cnf(c_0_2326,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2316,c_0_512]) ).
cnf(c_0_2327,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2317,c_0_675]) ).
cnf(c_0_2328,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2318,c_0_846]) ).
cnf(c_0_2329,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2319,c_0_1023]) ).
cnf(c_0_2330,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2320,c_0_846]) ).
cnf(c_0_2331,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_2321,c_0_58]) ).
cnf(c_0_2332,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2322,c_0_58]) ).
cnf(c_0_2333,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2323,c_0_85]) ).
cnf(c_0_2334,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2324,c_0_136]) ).
cnf(c_0_2335,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2325,c_0_224]) ).
cnf(c_0_2336,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2326,c_0_359]) ).
cnf(c_0_2337,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2327,c_0_512]) ).
cnf(c_0_2338,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2328,c_0_675]) ).
cnf(c_0_2339,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2329,c_0_846]) ).
cnf(c_0_2340,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2330,c_0_675]) ).
cnf(c_0_2341,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_2331,c_0_45]) ).
cnf(c_0_2342,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2332,c_0_45]) ).
cnf(c_0_2343,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2333,c_0_58]) ).
cnf(c_0_2344,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2334,c_0_85]) ).
cnf(c_0_2345,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2335,c_0_136]) ).
cnf(c_0_2346,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2336,c_0_224]) ).
cnf(c_0_2347,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2337,c_0_359]) ).
cnf(c_0_2348,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2338,c_0_512]) ).
cnf(c_0_2349,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2339,c_0_675]) ).
cnf(c_0_2350,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2340,c_0_512]) ).
cnf(c_0_2351,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_2341,c_0_39]) ).
cnf(c_0_2352,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2342,c_0_39]) ).
cnf(c_0_2353,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2343,c_0_45]) ).
cnf(c_0_2354,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2344,c_0_58]) ).
cnf(c_0_2355,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2345,c_0_85]) ).
cnf(c_0_2356,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2346,c_0_136]) ).
cnf(c_0_2357,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2347,c_0_224]) ).
cnf(c_0_2358,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2348,c_0_359]) ).
cnf(c_0_2359,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2349,c_0_512]) ).
cnf(c_0_2360,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2350,c_0_359]) ).
cnf(c_0_2361,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2351,c_0_36]) ).
cnf(c_0_2362,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,X8,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2352,c_0_36]) ).
cnf(c_0_2363,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2353,c_0_39]) ).
cnf(c_0_2364,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2354,c_0_45]) ).
cnf(c_0_2365,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2355,c_0_58]) ).
cnf(c_0_2366,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2356,c_0_85]) ).
cnf(c_0_2367,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2357,c_0_136]) ).
cnf(c_0_2368,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2358,c_0_224]) ).
cnf(c_0_2369,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2359,c_0_359]) ).
cnf(c_0_2370,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2360,c_0_224]) ).
cnf(c_0_2371,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2361,c_0_2362]) ).
cnf(c_0_2372,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2363,c_0_36]) ).
cnf(c_0_2373,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2364,c_0_39]) ).
cnf(c_0_2374,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2365,c_0_45]) ).
cnf(c_0_2375,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2366,c_0_58]) ).
cnf(c_0_2376,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2367,c_0_85]) ).
cnf(c_0_2377,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2368,c_0_136]) ).
cnf(c_0_2378,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2369,c_0_224]) ).
cnf(c_0_2379,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2370,c_0_136]) ).
cnf(c_0_2380,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2371,c_0_2181]) ).
cnf(c_0_2381,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2372,c_0_2181]) ).
cnf(c_0_2382,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2373,c_0_36]) ).
cnf(c_0_2383,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2374,c_0_39]) ).
cnf(c_0_2384,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2375,c_0_45]) ).
cnf(c_0_2385,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2376,c_0_58]) ).
cnf(c_0_2386,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2377,c_0_85]) ).
cnf(c_0_2387,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2378,c_0_136]) ).
cnf(c_0_2388,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2379,c_0_85]) ).
cnf(c_0_2389,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2380,c_0_1993]) ).
cnf(c_0_2390,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2381,c_0_1993]) ).
cnf(c_0_2391,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2382,c_0_2181]) ).
cnf(c_0_2392,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2383,c_0_36]) ).
cnf(c_0_2393,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2384,c_0_39]) ).
cnf(c_0_2394,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2385,c_0_45]) ).
cnf(c_0_2395,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2386,c_0_58]) ).
cnf(c_0_2396,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2387,c_0_85]) ).
cnf(c_0_2397,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2388,c_0_58]) ).
cnf(c_0_2398,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2389,c_0_1800]) ).
cnf(c_0_2399,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2390,c_0_1800]) ).
cnf(c_0_2400,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2391,c_0_1993]) ).
cnf(c_0_2401,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2392,c_0_2181]) ).
cnf(c_0_2402,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2393,c_0_36]) ).
cnf(c_0_2403,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2394,c_0_39]) ).
cnf(c_0_2404,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2395,c_0_45]) ).
cnf(c_0_2405,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2396,c_0_58]) ).
cnf(c_0_2406,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2397,c_0_45]) ).
cnf(c_0_2407,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2398,c_0_1604]) ).
cnf(c_0_2408,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2399,c_0_1604]) ).
cnf(c_0_2409,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2400,c_0_1800]) ).
cnf(c_0_2410,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2401,c_0_1993]) ).
cnf(c_0_2411,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2402,c_0_2181]) ).
cnf(c_0_2412,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2403,c_0_36]) ).
cnf(c_0_2413,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2404,c_0_39]) ).
cnf(c_0_2414,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2405,c_0_45]) ).
cnf(c_0_2415,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2406,c_0_39]) ).
cnf(c_0_2416,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2407,c_0_1407]) ).
cnf(c_0_2417,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2408,c_0_1407]) ).
cnf(c_0_2418,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2409,c_0_1604]) ).
cnf(c_0_2419,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2410,c_0_1800]) ).
cnf(c_0_2420,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2411,c_0_1993]) ).
cnf(c_0_2421,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2412,c_0_2181]) ).
cnf(c_0_2422,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2413,c_0_36]) ).
cnf(c_0_2423,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2414,c_0_39]) ).
cnf(c_0_2424,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2415,c_0_36]) ).
cnf(c_0_2425,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2416,c_0_1211]) ).
cnf(c_0_2426,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2417,c_0_1211]) ).
cnf(c_0_2427,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2418,c_0_1407]) ).
cnf(c_0_2428,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2419,c_0_1604]) ).
cnf(c_0_2429,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2420,c_0_1800]) ).
cnf(c_0_2430,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2421,c_0_1993]) ).
cnf(c_0_2431,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2422,c_0_2181]) ).
cnf(c_0_2432,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2423,c_0_36]) ).
cnf(c_0_2433,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2424,c_0_1604]) ).
cnf(c_0_2434,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2425,c_0_1023]) ).
cnf(c_0_2435,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2426,c_0_1023]) ).
cnf(c_0_2436,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2427,c_0_1211]) ).
cnf(c_0_2437,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2428,c_0_1407]) ).
cnf(c_0_2438,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2429,c_0_1604]) ).
cnf(c_0_2439,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2430,c_0_1800]) ).
cnf(c_0_2440,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2431,c_0_1993]) ).
cnf(c_0_2441,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2432,c_0_2181]) ).
cnf(c_0_2442,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2433,c_0_1407]) ).
cnf(c_0_2443,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2434,c_0_846]) ).
cnf(c_0_2444,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2435,c_0_846]) ).
cnf(c_0_2445,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2436,c_0_1023]) ).
cnf(c_0_2446,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2437,c_0_1211]) ).
cnf(c_0_2447,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2438,c_0_1407]) ).
cnf(c_0_2448,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2439,c_0_1604]) ).
cnf(c_0_2449,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2440,c_0_1800]) ).
cnf(c_0_2450,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2441,c_0_1993]) ).
cnf(c_0_2451,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2442,c_0_1211]) ).
cnf(c_0_2452,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2443,c_0_675]) ).
cnf(c_0_2453,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2444,c_0_675]) ).
cnf(c_0_2454,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2445,c_0_846]) ).
cnf(c_0_2455,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2446,c_0_1023]) ).
cnf(c_0_2456,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2447,c_0_1211]) ).
cnf(c_0_2457,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2448,c_0_1407]) ).
cnf(c_0_2458,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2449,c_0_1604]) ).
cnf(c_0_2459,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2450,c_0_1800]) ).
cnf(c_0_2460,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2451,c_0_1023]) ).
cnf(c_0_2461,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2452,c_0_512]) ).
cnf(c_0_2462,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2453,c_0_512]) ).
cnf(c_0_2463,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2454,c_0_675]) ).
cnf(c_0_2464,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2455,c_0_846]) ).
cnf(c_0_2465,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2456,c_0_1023]) ).
cnf(c_0_2466,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2457,c_0_1211]) ).
cnf(c_0_2467,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2458,c_0_1407]) ).
cnf(c_0_2468,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2459,c_0_1604]) ).
cnf(c_0_2469,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2460,c_0_846]) ).
cnf(c_0_2470,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2461,c_0_359]) ).
cnf(c_0_2471,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2462,c_0_359]) ).
cnf(c_0_2472,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2463,c_0_512]) ).
cnf(c_0_2473,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2464,c_0_675]) ).
cnf(c_0_2474,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2465,c_0_846]) ).
cnf(c_0_2475,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2466,c_0_1023]) ).
cnf(c_0_2476,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2467,c_0_1211]) ).
cnf(c_0_2477,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2468,c_0_1407]) ).
cnf(c_0_2478,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2469,c_0_675]) ).
cnf(c_0_2479,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2470,c_0_224]) ).
cnf(c_0_2480,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2471,c_0_224]) ).
cnf(c_0_2481,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2472,c_0_359]) ).
cnf(c_0_2482,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2473,c_0_512]) ).
cnf(c_0_2483,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2474,c_0_675]) ).
cnf(c_0_2484,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2475,c_0_846]) ).
cnf(c_0_2485,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2476,c_0_1023]) ).
cnf(c_0_2486,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2477,c_0_1211]) ).
cnf(c_0_2487,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2478,c_0_512]) ).
cnf(c_0_2488,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2479,c_0_136]) ).
cnf(c_0_2489,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2480,c_0_136]) ).
cnf(c_0_2490,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2481,c_0_224]) ).
cnf(c_0_2491,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2482,c_0_359]) ).
cnf(c_0_2492,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2483,c_0_512]) ).
cnf(c_0_2493,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2484,c_0_675]) ).
cnf(c_0_2494,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2485,c_0_846]) ).
cnf(c_0_2495,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2486,c_0_1023]) ).
cnf(c_0_2496,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2487,c_0_359]) ).
cnf(c_0_2497,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2488,c_0_85]) ).
cnf(c_0_2498,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2489,c_0_85]) ).
cnf(c_0_2499,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2490,c_0_136]) ).
cnf(c_0_2500,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2491,c_0_224]) ).
cnf(c_0_2501,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2492,c_0_359]) ).
cnf(c_0_2502,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2493,c_0_512]) ).
cnf(c_0_2503,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2494,c_0_675]) ).
cnf(c_0_2504,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2495,c_0_846]) ).
cnf(c_0_2505,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2496,c_0_224]) ).
cnf(c_0_2506,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_2497,c_0_58]) ).
cnf(c_0_2507,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2498,c_0_58]) ).
cnf(c_0_2508,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2499,c_0_85]) ).
cnf(c_0_2509,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2500,c_0_136]) ).
cnf(c_0_2510,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2501,c_0_224]) ).
cnf(c_0_2511,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2502,c_0_359]) ).
cnf(c_0_2512,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2503,c_0_512]) ).
cnf(c_0_2513,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2504,c_0_675]) ).
cnf(c_0_2514,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2505,c_0_136]) ).
cnf(c_0_2515,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_2506,c_0_45]) ).
cnf(c_0_2516,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2507,c_0_45]) ).
cnf(c_0_2517,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2508,c_0_58]) ).
cnf(c_0_2518,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2509,c_0_85]) ).
cnf(c_0_2519,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2510,c_0_136]) ).
cnf(c_0_2520,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2511,c_0_224]) ).
cnf(c_0_2521,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2512,c_0_359]) ).
cnf(c_0_2522,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2513,c_0_512]) ).
cnf(c_0_2523,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2514,c_0_85]) ).
cnf(c_0_2524,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_2515,c_0_39]) ).
cnf(c_0_2525,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2516,c_0_39]) ).
cnf(c_0_2526,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2517,c_0_45]) ).
cnf(c_0_2527,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2518,c_0_58]) ).
cnf(c_0_2528,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2519,c_0_85]) ).
cnf(c_0_2529,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2520,c_0_136]) ).
cnf(c_0_2530,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2521,c_0_224]) ).
cnf(c_0_2531,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2522,c_0_359]) ).
cnf(c_0_2532,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2523,c_0_58]) ).
cnf(c_0_2533,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2524,c_0_36]) ).
cnf(c_0_2534,plain,
( bin_count(X1,X2,X3,X4,X5,X6,X7,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,X7,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2525,c_0_36]) ).
cnf(c_0_2535,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2526,c_0_39]) ).
cnf(c_0_2536,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2527,c_0_45]) ).
cnf(c_0_2537,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2528,c_0_58]) ).
cnf(c_0_2538,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2529,c_0_85]) ).
cnf(c_0_2539,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2530,c_0_136]) ).
cnf(c_0_2540,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2531,c_0_224]) ).
cnf(c_0_2541,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2532,c_0_45]) ).
cnf(c_0_2542,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2533,c_0_2534]) ).
cnf(c_0_2543,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2535,c_0_36]) ).
cnf(c_0_2544,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2536,c_0_39]) ).
cnf(c_0_2545,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2537,c_0_45]) ).
cnf(c_0_2546,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2538,c_0_58]) ).
cnf(c_0_2547,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2539,c_0_85]) ).
cnf(c_0_2548,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2540,c_0_136]) ).
cnf(c_0_2549,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2541,c_0_39]) ).
cnf(c_0_2550,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2542,c_0_2362]) ).
cnf(c_0_2551,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2543,c_0_2362]) ).
cnf(c_0_2552,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2544,c_0_36]) ).
cnf(c_0_2553,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2545,c_0_39]) ).
cnf(c_0_2554,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2546,c_0_45]) ).
cnf(c_0_2555,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2547,c_0_58]) ).
cnf(c_0_2556,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2548,c_0_85]) ).
cnf(c_0_2557,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2549,c_0_36]) ).
cnf(c_0_2558,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2550,c_0_2181]) ).
cnf(c_0_2559,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2551,c_0_2181]) ).
cnf(c_0_2560,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2552,c_0_2362]) ).
cnf(c_0_2561,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2553,c_0_36]) ).
cnf(c_0_2562,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2554,c_0_39]) ).
cnf(c_0_2563,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2555,c_0_45]) ).
cnf(c_0_2564,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2556,c_0_58]) ).
cnf(c_0_2565,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2557,c_0_1800]) ).
cnf(c_0_2566,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2558,c_0_1993]) ).
cnf(c_0_2567,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2559,c_0_1993]) ).
cnf(c_0_2568,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2560,c_0_2181]) ).
cnf(c_0_2569,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2561,c_0_2362]) ).
cnf(c_0_2570,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2562,c_0_36]) ).
cnf(c_0_2571,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2563,c_0_39]) ).
cnf(c_0_2572,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2564,c_0_45]) ).
cnf(c_0_2573,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2565,c_0_1604]) ).
cnf(c_0_2574,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2566,c_0_1800]) ).
cnf(c_0_2575,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2567,c_0_1800]) ).
cnf(c_0_2576,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2568,c_0_1993]) ).
cnf(c_0_2577,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2569,c_0_2181]) ).
cnf(c_0_2578,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2570,c_0_2362]) ).
cnf(c_0_2579,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2571,c_0_36]) ).
cnf(c_0_2580,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2572,c_0_39]) ).
cnf(c_0_2581,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2573,c_0_1407]) ).
cnf(c_0_2582,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2574,c_0_1604]) ).
cnf(c_0_2583,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2575,c_0_1604]) ).
cnf(c_0_2584,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2576,c_0_1800]) ).
cnf(c_0_2585,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2577,c_0_1993]) ).
cnf(c_0_2586,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2578,c_0_2181]) ).
cnf(c_0_2587,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2579,c_0_2362]) ).
cnf(c_0_2588,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2580,c_0_36]) ).
cnf(c_0_2589,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2581,c_0_1211]) ).
cnf(c_0_2590,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2582,c_0_1407]) ).
cnf(c_0_2591,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2583,c_0_1407]) ).
cnf(c_0_2592,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2584,c_0_1604]) ).
cnf(c_0_2593,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2585,c_0_1800]) ).
cnf(c_0_2594,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2586,c_0_1993]) ).
cnf(c_0_2595,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2587,c_0_2181]) ).
cnf(c_0_2596,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2588,c_0_2362]) ).
cnf(c_0_2597,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2589,c_0_1023]) ).
cnf(c_0_2598,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2590,c_0_1211]) ).
cnf(c_0_2599,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2591,c_0_1211]) ).
cnf(c_0_2600,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2592,c_0_1407]) ).
cnf(c_0_2601,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2593,c_0_1604]) ).
cnf(c_0_2602,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2594,c_0_1800]) ).
cnf(c_0_2603,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2595,c_0_1993]) ).
cnf(c_0_2604,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2596,c_0_2181]) ).
cnf(c_0_2605,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2597,c_0_846]) ).
cnf(c_0_2606,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2598,c_0_1023]) ).
cnf(c_0_2607,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2599,c_0_1023]) ).
cnf(c_0_2608,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2600,c_0_1211]) ).
cnf(c_0_2609,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2601,c_0_1407]) ).
cnf(c_0_2610,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2602,c_0_1604]) ).
cnf(c_0_2611,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2603,c_0_1800]) ).
cnf(c_0_2612,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2604,c_0_1993]) ).
cnf(c_0_2613,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2605,c_0_675]) ).
cnf(c_0_2614,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2606,c_0_846]) ).
cnf(c_0_2615,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2607,c_0_846]) ).
cnf(c_0_2616,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2608,c_0_1023]) ).
cnf(c_0_2617,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2609,c_0_1211]) ).
cnf(c_0_2618,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2610,c_0_1407]) ).
cnf(c_0_2619,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2611,c_0_1604]) ).
cnf(c_0_2620,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2612,c_0_1800]) ).
cnf(c_0_2621,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2613,c_0_512]) ).
cnf(c_0_2622,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2614,c_0_675]) ).
cnf(c_0_2623,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2615,c_0_675]) ).
cnf(c_0_2624,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2616,c_0_846]) ).
cnf(c_0_2625,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2617,c_0_1023]) ).
cnf(c_0_2626,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2618,c_0_1211]) ).
cnf(c_0_2627,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2619,c_0_1407]) ).
cnf(c_0_2628,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2620,c_0_1604]) ).
cnf(c_0_2629,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2621,c_0_359]) ).
cnf(c_0_2630,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2622,c_0_512]) ).
cnf(c_0_2631,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2623,c_0_512]) ).
cnf(c_0_2632,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2624,c_0_675]) ).
cnf(c_0_2633,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2625,c_0_846]) ).
cnf(c_0_2634,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2626,c_0_1023]) ).
cnf(c_0_2635,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2627,c_0_1211]) ).
cnf(c_0_2636,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2628,c_0_1407]) ).
cnf(c_0_2637,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2629,c_0_224]) ).
cnf(c_0_2638,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2630,c_0_359]) ).
cnf(c_0_2639,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2631,c_0_359]) ).
cnf(c_0_2640,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2632,c_0_512]) ).
cnf(c_0_2641,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2633,c_0_675]) ).
cnf(c_0_2642,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2634,c_0_846]) ).
cnf(c_0_2643,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2635,c_0_1023]) ).
cnf(c_0_2644,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2636,c_0_1211]) ).
cnf(c_0_2645,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2637,c_0_136]) ).
cnf(c_0_2646,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2638,c_0_224]) ).
cnf(c_0_2647,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2639,c_0_224]) ).
cnf(c_0_2648,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2640,c_0_359]) ).
cnf(c_0_2649,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2641,c_0_512]) ).
cnf(c_0_2650,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2642,c_0_675]) ).
cnf(c_0_2651,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2643,c_0_846]) ).
cnf(c_0_2652,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2644,c_0_1023]) ).
cnf(c_0_2653,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2645,c_0_85]) ).
cnf(c_0_2654,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2646,c_0_136]) ).
cnf(c_0_2655,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2647,c_0_136]) ).
cnf(c_0_2656,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2648,c_0_224]) ).
cnf(c_0_2657,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2649,c_0_359]) ).
cnf(c_0_2658,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2650,c_0_512]) ).
cnf(c_0_2659,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2651,c_0_675]) ).
cnf(c_0_2660,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2652,c_0_846]) ).
cnf(c_0_2661,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2653,c_0_58]) ).
cnf(c_0_2662,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2654,c_0_85]) ).
cnf(c_0_2663,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2655,c_0_85]) ).
cnf(c_0_2664,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2656,c_0_136]) ).
cnf(c_0_2665,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2657,c_0_224]) ).
cnf(c_0_2666,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2658,c_0_359]) ).
cnf(c_0_2667,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2659,c_0_512]) ).
cnf(c_0_2668,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2660,c_0_675]) ).
cnf(c_0_2669,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2661,c_0_45]) ).
cnf(c_0_2670,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_2662,c_0_58]) ).
cnf(c_0_2671,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2663,c_0_58]) ).
cnf(c_0_2672,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2664,c_0_85]) ).
cnf(c_0_2673,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2665,c_0_136]) ).
cnf(c_0_2674,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2666,c_0_224]) ).
cnf(c_0_2675,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2667,c_0_359]) ).
cnf(c_0_2676,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2668,c_0_512]) ).
cnf(c_0_2677,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2669,c_0_39]) ).
cnf(c_0_2678,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_2670,c_0_45]) ).
cnf(c_0_2679,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2671,c_0_45]) ).
cnf(c_0_2680,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2672,c_0_58]) ).
cnf(c_0_2681,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2673,c_0_85]) ).
cnf(c_0_2682,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2674,c_0_136]) ).
cnf(c_0_2683,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2675,c_0_224]) ).
cnf(c_0_2684,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2676,c_0_359]) ).
cnf(c_0_2685,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2677,c_0_36]) ).
cnf(c_0_2686,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_2678,c_0_39]) ).
cnf(c_0_2687,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2679,c_0_39]) ).
cnf(c_0_2688,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2680,c_0_45]) ).
cnf(c_0_2689,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2681,c_0_58]) ).
cnf(c_0_2690,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2682,c_0_85]) ).
cnf(c_0_2691,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2683,c_0_136]) ).
cnf(c_0_2692,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2684,c_0_224]) ).
cnf(c_0_2693,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2685,c_0_1993]) ).
cnf(c_0_2694,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2686,c_0_36]) ).
cnf(c_0_2695,plain,
( bin_count(X1,X2,X3,X4,X5,X6,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,X6,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2687,c_0_36]) ).
cnf(c_0_2696,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2688,c_0_39]) ).
cnf(c_0_2697,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2689,c_0_45]) ).
cnf(c_0_2698,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2690,c_0_58]) ).
cnf(c_0_2699,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2691,c_0_85]) ).
cnf(c_0_2700,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2692,c_0_136]) ).
cnf(c_0_2701,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2693,c_0_1800]) ).
cnf(c_0_2702,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2694,c_0_2695]) ).
cnf(c_0_2703,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2696,c_0_36]) ).
cnf(c_0_2704,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2697,c_0_39]) ).
cnf(c_0_2705,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2698,c_0_45]) ).
cnf(c_0_2706,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2699,c_0_58]) ).
cnf(c_0_2707,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2700,c_0_85]) ).
cnf(c_0_2708,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2701,c_0_1604]) ).
cnf(c_0_2709,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2702,c_0_2534]) ).
cnf(c_0_2710,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2703,c_0_2534]) ).
cnf(c_0_2711,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2704,c_0_36]) ).
cnf(c_0_2712,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2705,c_0_39]) ).
cnf(c_0_2713,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2706,c_0_45]) ).
cnf(c_0_2714,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2707,c_0_58]) ).
cnf(c_0_2715,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2708,c_0_1407]) ).
cnf(c_0_2716,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2709,c_0_2362]) ).
cnf(c_0_2717,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2710,c_0_2362]) ).
cnf(c_0_2718,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2711,c_0_2534]) ).
cnf(c_0_2719,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2712,c_0_36]) ).
cnf(c_0_2720,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2713,c_0_39]) ).
cnf(c_0_2721,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2714,c_0_45]) ).
cnf(c_0_2722,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2715,c_0_1211]) ).
cnf(c_0_2723,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2716,c_0_2181]) ).
cnf(c_0_2724,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2717,c_0_2181]) ).
cnf(c_0_2725,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2718,c_0_2362]) ).
cnf(c_0_2726,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2719,c_0_2534]) ).
cnf(c_0_2727,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2720,c_0_36]) ).
cnf(c_0_2728,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2721,c_0_39]) ).
cnf(c_0_2729,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2722,c_0_1023]) ).
cnf(c_0_2730,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2723,c_0_1993]) ).
cnf(c_0_2731,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2724,c_0_1993]) ).
cnf(c_0_2732,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2725,c_0_2181]) ).
cnf(c_0_2733,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2726,c_0_2362]) ).
cnf(c_0_2734,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2727,c_0_2534]) ).
cnf(c_0_2735,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2728,c_0_36]) ).
cnf(c_0_2736,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2729,c_0_846]) ).
cnf(c_0_2737,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2730,c_0_1800]) ).
cnf(c_0_2738,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2731,c_0_1800]) ).
cnf(c_0_2739,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2732,c_0_1993]) ).
cnf(c_0_2740,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2733,c_0_2181]) ).
cnf(c_0_2741,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2734,c_0_2362]) ).
cnf(c_0_2742,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2735,c_0_2534]) ).
cnf(c_0_2743,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2736,c_0_675]) ).
cnf(c_0_2744,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2737,c_0_1604]) ).
cnf(c_0_2745,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2738,c_0_1604]) ).
cnf(c_0_2746,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2739,c_0_1800]) ).
cnf(c_0_2747,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2740,c_0_1993]) ).
cnf(c_0_2748,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2741,c_0_2181]) ).
cnf(c_0_2749,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2742,c_0_2362]) ).
cnf(c_0_2750,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2743,c_0_512]) ).
cnf(c_0_2751,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2744,c_0_1407]) ).
cnf(c_0_2752,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2745,c_0_1407]) ).
cnf(c_0_2753,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2746,c_0_1604]) ).
cnf(c_0_2754,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2747,c_0_1800]) ).
cnf(c_0_2755,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2748,c_0_1993]) ).
cnf(c_0_2756,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2749,c_0_2181]) ).
cnf(c_0_2757,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2750,c_0_359]) ).
cnf(c_0_2758,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2751,c_0_1211]) ).
cnf(c_0_2759,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2752,c_0_1211]) ).
cnf(c_0_2760,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2753,c_0_1407]) ).
cnf(c_0_2761,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2754,c_0_1604]) ).
cnf(c_0_2762,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2755,c_0_1800]) ).
cnf(c_0_2763,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2756,c_0_1993]) ).
cnf(c_0_2764,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2757,c_0_224]) ).
cnf(c_0_2765,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2758,c_0_1023]) ).
cnf(c_0_2766,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2759,c_0_1023]) ).
cnf(c_0_2767,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2760,c_0_1211]) ).
cnf(c_0_2768,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2761,c_0_1407]) ).
cnf(c_0_2769,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2762,c_0_1604]) ).
cnf(c_0_2770,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2763,c_0_1800]) ).
cnf(c_0_2771,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2764,c_0_136]) ).
cnf(c_0_2772,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2765,c_0_846]) ).
cnf(c_0_2773,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2766,c_0_846]) ).
cnf(c_0_2774,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2767,c_0_1023]) ).
cnf(c_0_2775,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2768,c_0_1211]) ).
cnf(c_0_2776,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2769,c_0_1407]) ).
cnf(c_0_2777,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2770,c_0_1604]) ).
cnf(c_0_2778,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2771,c_0_85]) ).
cnf(c_0_2779,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2772,c_0_675]) ).
cnf(c_0_2780,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2773,c_0_675]) ).
cnf(c_0_2781,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2774,c_0_846]) ).
cnf(c_0_2782,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2775,c_0_1023]) ).
cnf(c_0_2783,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2776,c_0_1211]) ).
cnf(c_0_2784,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2777,c_0_1407]) ).
cnf(c_0_2785,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2778,c_0_58]) ).
cnf(c_0_2786,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2779,c_0_512]) ).
cnf(c_0_2787,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2780,c_0_512]) ).
cnf(c_0_2788,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2781,c_0_675]) ).
cnf(c_0_2789,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2782,c_0_846]) ).
cnf(c_0_2790,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2783,c_0_1023]) ).
cnf(c_0_2791,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2784,c_0_1211]) ).
cnf(c_0_2792,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2785,c_0_45]) ).
cnf(c_0_2793,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2786,c_0_359]) ).
cnf(c_0_2794,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2787,c_0_359]) ).
cnf(c_0_2795,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2788,c_0_512]) ).
cnf(c_0_2796,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2789,c_0_675]) ).
cnf(c_0_2797,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2790,c_0_846]) ).
cnf(c_0_2798,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2791,c_0_1023]) ).
cnf(c_0_2799,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2792,c_0_39]) ).
cnf(c_0_2800,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2793,c_0_224]) ).
cnf(c_0_2801,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2794,c_0_224]) ).
cnf(c_0_2802,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2795,c_0_359]) ).
cnf(c_0_2803,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2796,c_0_512]) ).
cnf(c_0_2804,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2797,c_0_675]) ).
cnf(c_0_2805,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2798,c_0_846]) ).
cnf(c_0_2806,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2799,c_0_36]) ).
cnf(c_0_2807,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2800,c_0_136]) ).
cnf(c_0_2808,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2801,c_0_136]) ).
cnf(c_0_2809,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2802,c_0_224]) ).
cnf(c_0_2810,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2803,c_0_359]) ).
cnf(c_0_2811,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2804,c_0_512]) ).
cnf(c_0_2812,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2805,c_0_675]) ).
cnf(c_0_2813,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2806,c_0_2181]) ).
cnf(c_0_2814,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2807,c_0_85]) ).
cnf(c_0_2815,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2808,c_0_85]) ).
cnf(c_0_2816,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2809,c_0_136]) ).
cnf(c_0_2817,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2810,c_0_224]) ).
cnf(c_0_2818,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2811,c_0_359]) ).
cnf(c_0_2819,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2812,c_0_512]) ).
cnf(c_0_2820,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2813,c_0_1993]) ).
cnf(c_0_2821,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_2814,c_0_58]) ).
cnf(c_0_2822,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2815,c_0_58]) ).
cnf(c_0_2823,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2816,c_0_85]) ).
cnf(c_0_2824,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2817,c_0_136]) ).
cnf(c_0_2825,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2818,c_0_224]) ).
cnf(c_0_2826,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2819,c_0_359]) ).
cnf(c_0_2827,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2820,c_0_1800]) ).
cnf(c_0_2828,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_2821,c_0_45]) ).
cnf(c_0_2829,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2822,c_0_45]) ).
cnf(c_0_2830,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2823,c_0_58]) ).
cnf(c_0_2831,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2824,c_0_85]) ).
cnf(c_0_2832,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2825,c_0_136]) ).
cnf(c_0_2833,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2826,c_0_224]) ).
cnf(c_0_2834,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2827,c_0_1604]) ).
cnf(c_0_2835,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_2828,c_0_39]) ).
cnf(c_0_2836,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2829,c_0_39]) ).
cnf(c_0_2837,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2830,c_0_45]) ).
cnf(c_0_2838,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2831,c_0_58]) ).
cnf(c_0_2839,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2832,c_0_85]) ).
cnf(c_0_2840,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2833,c_0_136]) ).
cnf(c_0_2841,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2834,c_0_1407]) ).
cnf(c_0_2842,plain,
~ bin_count(n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2835,c_0_36]) ).
cnf(c_0_2843,plain,
( bin_count(X1,X2,X3,X4,X5,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,X5,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2836,c_0_36]) ).
cnf(c_0_2844,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2837,c_0_39]) ).
cnf(c_0_2845,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2838,c_0_45]) ).
cnf(c_0_2846,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2839,c_0_58]) ).
cnf(c_0_2847,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2840,c_0_85]) ).
cnf(c_0_2848,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2841,c_0_1211]) ).
cnf(c_0_2849,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2842,c_0_2843]) ).
cnf(c_0_2850,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2844,c_0_36]) ).
cnf(c_0_2851,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2845,c_0_39]) ).
cnf(c_0_2852,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2846,c_0_45]) ).
cnf(c_0_2853,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2847,c_0_58]) ).
cnf(c_0_2854,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2848,c_0_1023]) ).
cnf(c_0_2855,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2849,c_0_2695]) ).
cnf(c_0_2856,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2850,c_0_2695]) ).
cnf(c_0_2857,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2851,c_0_36]) ).
cnf(c_0_2858,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2852,c_0_39]) ).
cnf(c_0_2859,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2853,c_0_45]) ).
cnf(c_0_2860,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2854,c_0_846]) ).
cnf(c_0_2861,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2855,c_0_2534]) ).
cnf(c_0_2862,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2856,c_0_2534]) ).
cnf(c_0_2863,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2857,c_0_2695]) ).
cnf(c_0_2864,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2858,c_0_36]) ).
cnf(c_0_2865,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2859,c_0_39]) ).
cnf(c_0_2866,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2860,c_0_675]) ).
cnf(c_0_2867,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2861,c_0_2362]) ).
cnf(c_0_2868,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2862,c_0_2362]) ).
cnf(c_0_2869,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2863,c_0_2534]) ).
cnf(c_0_2870,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2864,c_0_2695]) ).
cnf(c_0_2871,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2865,c_0_36]) ).
cnf(c_0_2872,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2866,c_0_512]) ).
cnf(c_0_2873,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2867,c_0_2181]) ).
cnf(c_0_2874,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2868,c_0_2181]) ).
cnf(c_0_2875,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2869,c_0_2362]) ).
cnf(c_0_2876,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2870,c_0_2534]) ).
cnf(c_0_2877,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2871,c_0_2695]) ).
cnf(c_0_2878,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2872,c_0_359]) ).
cnf(c_0_2879,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2873,c_0_1993]) ).
cnf(c_0_2880,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2874,c_0_1993]) ).
cnf(c_0_2881,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2875,c_0_2181]) ).
cnf(c_0_2882,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2876,c_0_2362]) ).
cnf(c_0_2883,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2877,c_0_2534]) ).
cnf(c_0_2884,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2878,c_0_224]) ).
cnf(c_0_2885,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2879,c_0_1800]) ).
cnf(c_0_2886,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2880,c_0_1800]) ).
cnf(c_0_2887,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2881,c_0_1993]) ).
cnf(c_0_2888,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2882,c_0_2181]) ).
cnf(c_0_2889,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2883,c_0_2362]) ).
cnf(c_0_2890,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2884,c_0_136]) ).
cnf(c_0_2891,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2885,c_0_1604]) ).
cnf(c_0_2892,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2886,c_0_1604]) ).
cnf(c_0_2893,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2887,c_0_1800]) ).
cnf(c_0_2894,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2888,c_0_1993]) ).
cnf(c_0_2895,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2889,c_0_2181]) ).
cnf(c_0_2896,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2890,c_0_85]) ).
cnf(c_0_2897,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2891,c_0_1407]) ).
cnf(c_0_2898,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2892,c_0_1407]) ).
cnf(c_0_2899,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2893,c_0_1604]) ).
cnf(c_0_2900,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2894,c_0_1800]) ).
cnf(c_0_2901,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2895,c_0_1993]) ).
cnf(c_0_2902,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2896,c_0_58]) ).
cnf(c_0_2903,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2897,c_0_1211]) ).
cnf(c_0_2904,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2898,c_0_1211]) ).
cnf(c_0_2905,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2899,c_0_1407]) ).
cnf(c_0_2906,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2900,c_0_1604]) ).
cnf(c_0_2907,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2901,c_0_1800]) ).
cnf(c_0_2908,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2902,c_0_45]) ).
cnf(c_0_2909,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2903,c_0_1023]) ).
cnf(c_0_2910,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2904,c_0_1023]) ).
cnf(c_0_2911,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2905,c_0_1211]) ).
cnf(c_0_2912,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2906,c_0_1407]) ).
cnf(c_0_2913,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2907,c_0_1604]) ).
cnf(c_0_2914,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2908,c_0_39]) ).
cnf(c_0_2915,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2909,c_0_846]) ).
cnf(c_0_2916,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2910,c_0_846]) ).
cnf(c_0_2917,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2911,c_0_1023]) ).
cnf(c_0_2918,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2912,c_0_1211]) ).
cnf(c_0_2919,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2913,c_0_1407]) ).
cnf(c_0_2920,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2914,c_0_36]) ).
cnf(c_0_2921,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2915,c_0_675]) ).
cnf(c_0_2922,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2916,c_0_675]) ).
cnf(c_0_2923,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2917,c_0_846]) ).
cnf(c_0_2924,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2918,c_0_1023]) ).
cnf(c_0_2925,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2919,c_0_1211]) ).
cnf(c_0_2926,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2920,c_0_2362]) ).
cnf(c_0_2927,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2921,c_0_512]) ).
cnf(c_0_2928,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2922,c_0_512]) ).
cnf(c_0_2929,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2923,c_0_675]) ).
cnf(c_0_2930,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2924,c_0_846]) ).
cnf(c_0_2931,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2925,c_0_1023]) ).
cnf(c_0_2932,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2926,c_0_2181]) ).
cnf(c_0_2933,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2927,c_0_359]) ).
cnf(c_0_2934,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2928,c_0_359]) ).
cnf(c_0_2935,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2929,c_0_512]) ).
cnf(c_0_2936,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2930,c_0_675]) ).
cnf(c_0_2937,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2931,c_0_846]) ).
cnf(c_0_2938,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2932,c_0_1993]) ).
cnf(c_0_2939,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2933,c_0_224]) ).
cnf(c_0_2940,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2934,c_0_224]) ).
cnf(c_0_2941,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2935,c_0_359]) ).
cnf(c_0_2942,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2936,c_0_512]) ).
cnf(c_0_2943,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2937,c_0_675]) ).
cnf(c_0_2944,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2938,c_0_1800]) ).
cnf(c_0_2945,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2939,c_0_136]) ).
cnf(c_0_2946,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2940,c_0_136]) ).
cnf(c_0_2947,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2941,c_0_224]) ).
cnf(c_0_2948,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2942,c_0_359]) ).
cnf(c_0_2949,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2943,c_0_512]) ).
cnf(c_0_2950,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2944,c_0_1604]) ).
cnf(c_0_2951,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2945,c_0_85]) ).
cnf(c_0_2952,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2946,c_0_85]) ).
cnf(c_0_2953,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2947,c_0_136]) ).
cnf(c_0_2954,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2948,c_0_224]) ).
cnf(c_0_2955,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2949,c_0_359]) ).
cnf(c_0_2956,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2950,c_0_1407]) ).
cnf(c_0_2957,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_2951,c_0_58]) ).
cnf(c_0_2958,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2952,c_0_58]) ).
cnf(c_0_2959,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2953,c_0_85]) ).
cnf(c_0_2960,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2954,c_0_136]) ).
cnf(c_0_2961,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2955,c_0_224]) ).
cnf(c_0_2962,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2956,c_0_1211]) ).
cnf(c_0_2963,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_2957,c_0_45]) ).
cnf(c_0_2964,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2958,c_0_45]) ).
cnf(c_0_2965,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2959,c_0_58]) ).
cnf(c_0_2966,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2960,c_0_85]) ).
cnf(c_0_2967,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2961,c_0_136]) ).
cnf(c_0_2968,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2962,c_0_1023]) ).
cnf(c_0_2969,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_2963,c_0_39]) ).
cnf(c_0_2970,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2964,c_0_39]) ).
cnf(c_0_2971,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2965,c_0_45]) ).
cnf(c_0_2972,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2966,c_0_58]) ).
cnf(c_0_2973,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2967,c_0_85]) ).
cnf(c_0_2974,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2968,c_0_846]) ).
cnf(c_0_2975,plain,
~ bin_count(n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2969,c_0_36]) ).
cnf(c_0_2976,plain,
( bin_count(X1,X2,X3,X4,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,X4,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2970,c_0_36]) ).
cnf(c_0_2977,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2971,c_0_39]) ).
cnf(c_0_2978,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2972,c_0_45]) ).
cnf(c_0_2979,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_2973,c_0_58]) ).
cnf(c_0_2980,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2974,c_0_675]) ).
cnf(c_0_2981,plain,
~ bin_count(n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2975,c_0_2976]) ).
cnf(c_0_2982,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2977,c_0_36]) ).
cnf(c_0_2983,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2978,c_0_39]) ).
cnf(c_0_2984,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_2979,c_0_45]) ).
cnf(c_0_2985,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2980,c_0_512]) ).
cnf(c_0_2986,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2981,c_0_2843]) ).
cnf(c_0_2987,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2982,c_0_2843]) ).
cnf(c_0_2988,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2983,c_0_36]) ).
cnf(c_0_2989,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_2984,c_0_39]) ).
cnf(c_0_2990,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2985,c_0_359]) ).
cnf(c_0_2991,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2986,c_0_2695]) ).
cnf(c_0_2992,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2987,c_0_2695]) ).
cnf(c_0_2993,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2988,c_0_2843]) ).
cnf(c_0_2994,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2989,c_0_36]) ).
cnf(c_0_2995,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2990,c_0_224]) ).
cnf(c_0_2996,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2991,c_0_2534]) ).
cnf(c_0_2997,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2992,c_0_2534]) ).
cnf(c_0_2998,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2993,c_0_2695]) ).
cnf(c_0_2999,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2994,c_0_2843]) ).
cnf(c_0_3000,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2995,c_0_136]) ).
cnf(c_0_3001,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_2996,c_0_2362]) ).
cnf(c_0_3002,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2997,c_0_2362]) ).
cnf(c_0_3003,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2998,c_0_2534]) ).
cnf(c_0_3004,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_2999,c_0_2695]) ).
cnf(c_0_3005,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3000,c_0_85]) ).
cnf(c_0_3006,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3001,c_0_2181]) ).
cnf(c_0_3007,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3002,c_0_2181]) ).
cnf(c_0_3008,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3003,c_0_2362]) ).
cnf(c_0_3009,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3004,c_0_2534]) ).
cnf(c_0_3010,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3005,c_0_58]) ).
cnf(c_0_3011,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3006,c_0_1993]) ).
cnf(c_0_3012,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3007,c_0_1993]) ).
cnf(c_0_3013,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3008,c_0_2181]) ).
cnf(c_0_3014,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3009,c_0_2362]) ).
cnf(c_0_3015,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3010,c_0_45]) ).
cnf(c_0_3016,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3011,c_0_1800]) ).
cnf(c_0_3017,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3012,c_0_1800]) ).
cnf(c_0_3018,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3013,c_0_1993]) ).
cnf(c_0_3019,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3014,c_0_2181]) ).
cnf(c_0_3020,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3015,c_0_39]) ).
cnf(c_0_3021,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3016,c_0_1604]) ).
cnf(c_0_3022,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3017,c_0_1604]) ).
cnf(c_0_3023,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3018,c_0_1800]) ).
cnf(c_0_3024,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3019,c_0_1993]) ).
cnf(c_0_3025,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3020,c_0_36]) ).
cnf(c_0_3026,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3021,c_0_1407]) ).
cnf(c_0_3027,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3022,c_0_1407]) ).
cnf(c_0_3028,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3023,c_0_1604]) ).
cnf(c_0_3029,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3024,c_0_1800]) ).
cnf(c_0_3030,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3025,c_0_2534]) ).
cnf(c_0_3031,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3026,c_0_1211]) ).
cnf(c_0_3032,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3027,c_0_1211]) ).
cnf(c_0_3033,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3028,c_0_1407]) ).
cnf(c_0_3034,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3029,c_0_1604]) ).
cnf(c_0_3035,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3030,c_0_2362]) ).
cnf(c_0_3036,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3031,c_0_1023]) ).
cnf(c_0_3037,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3032,c_0_1023]) ).
cnf(c_0_3038,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3033,c_0_1211]) ).
cnf(c_0_3039,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3034,c_0_1407]) ).
cnf(c_0_3040,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3035,c_0_2181]) ).
cnf(c_0_3041,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3036,c_0_846]) ).
cnf(c_0_3042,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3037,c_0_846]) ).
cnf(c_0_3043,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3038,c_0_1023]) ).
cnf(c_0_3044,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3039,c_0_1211]) ).
cnf(c_0_3045,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3040,c_0_1993]) ).
cnf(c_0_3046,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3041,c_0_675]) ).
cnf(c_0_3047,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3042,c_0_675]) ).
cnf(c_0_3048,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3043,c_0_846]) ).
cnf(c_0_3049,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3044,c_0_1023]) ).
cnf(c_0_3050,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3045,c_0_1800]) ).
cnf(c_0_3051,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3046,c_0_512]) ).
cnf(c_0_3052,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3047,c_0_512]) ).
cnf(c_0_3053,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3048,c_0_675]) ).
cnf(c_0_3054,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3049,c_0_846]) ).
cnf(c_0_3055,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3050,c_0_1604]) ).
cnf(c_0_3056,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3051,c_0_359]) ).
cnf(c_0_3057,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3052,c_0_359]) ).
cnf(c_0_3058,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3053,c_0_512]) ).
cnf(c_0_3059,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3054,c_0_675]) ).
cnf(c_0_3060,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3055,c_0_1407]) ).
cnf(c_0_3061,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3056,c_0_224]) ).
cnf(c_0_3062,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3057,c_0_224]) ).
cnf(c_0_3063,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3058,c_0_359]) ).
cnf(c_0_3064,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3059,c_0_512]) ).
cnf(c_0_3065,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3060,c_0_1211]) ).
cnf(c_0_3066,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3061,c_0_136]) ).
cnf(c_0_3067,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3062,c_0_136]) ).
cnf(c_0_3068,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3063,c_0_224]) ).
cnf(c_0_3069,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3064,c_0_359]) ).
cnf(c_0_3070,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3065,c_0_1023]) ).
cnf(c_0_3071,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3066,c_0_85]) ).
cnf(c_0_3072,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3067,c_0_85]) ).
cnf(c_0_3073,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3068,c_0_136]) ).
cnf(c_0_3074,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3069,c_0_224]) ).
cnf(c_0_3075,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3070,c_0_846]) ).
cnf(c_0_3076,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3071,c_0_58]) ).
cnf(c_0_3077,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3072,c_0_58]) ).
cnf(c_0_3078,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3073,c_0_85]) ).
cnf(c_0_3079,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3074,c_0_136]) ).
cnf(c_0_3080,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3075,c_0_675]) ).
cnf(c_0_3081,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3076,c_0_45]) ).
cnf(c_0_3082,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3077,c_0_45]) ).
cnf(c_0_3083,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3078,c_0_58]) ).
cnf(c_0_3084,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3079,c_0_85]) ).
cnf(c_0_3085,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3080,c_0_512]) ).
cnf(c_0_3086,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3081,c_0_39]) ).
cnf(c_0_3087,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3082,c_0_39]) ).
cnf(c_0_3088,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3083,c_0_45]) ).
cnf(c_0_3089,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3084,c_0_58]) ).
cnf(c_0_3090,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3085,c_0_359]) ).
cnf(c_0_3091,plain,
~ bin_count(n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3086,c_0_36]) ).
cnf(c_0_3092,plain,
( bin_count(X1,X2,X3,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,X3,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3087,c_0_36]) ).
cnf(c_0_3093,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3088,c_0_39]) ).
cnf(c_0_3094,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3089,c_0_45]) ).
cnf(c_0_3095,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3090,c_0_224]) ).
cnf(c_0_3096,plain,
~ bin_count(n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3091,c_0_3092]) ).
cnf(c_0_3097,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3093,c_0_36]) ).
cnf(c_0_3098,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3094,c_0_39]) ).
cnf(c_0_3099,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3095,c_0_136]) ).
cnf(c_0_3100,plain,
~ bin_count(n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3096,c_0_2976]) ).
cnf(c_0_3101,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3097,c_0_2976]) ).
cnf(c_0_3102,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3098,c_0_36]) ).
cnf(c_0_3103,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3099,c_0_85]) ).
cnf(c_0_3104,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3100,c_0_2843]) ).
cnf(c_0_3105,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3101,c_0_2843]) ).
cnf(c_0_3106,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3102,c_0_2976]) ).
cnf(c_0_3107,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3103,c_0_58]) ).
cnf(c_0_3108,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3104,c_0_2695]) ).
cnf(c_0_3109,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3105,c_0_2695]) ).
cnf(c_0_3110,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3106,c_0_2843]) ).
cnf(c_0_3111,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3107,c_0_45]) ).
cnf(c_0_3112,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3108,c_0_2534]) ).
cnf(c_0_3113,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3109,c_0_2534]) ).
cnf(c_0_3114,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3110,c_0_2695]) ).
cnf(c_0_3115,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3111,c_0_39]) ).
cnf(c_0_3116,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3112,c_0_2362]) ).
cnf(c_0_3117,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3113,c_0_2362]) ).
cnf(c_0_3118,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3114,c_0_2534]) ).
cnf(c_0_3119,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3115,c_0_36]) ).
cnf(c_0_3120,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3116,c_0_2181]) ).
cnf(c_0_3121,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3117,c_0_2181]) ).
cnf(c_0_3122,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3118,c_0_2362]) ).
cnf(c_0_3123,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3119,c_0_2695]) ).
cnf(c_0_3124,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3120,c_0_1993]) ).
cnf(c_0_3125,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3121,c_0_1993]) ).
cnf(c_0_3126,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3122,c_0_2181]) ).
cnf(c_0_3127,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3123,c_0_2534]) ).
cnf(c_0_3128,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3124,c_0_1800]) ).
cnf(c_0_3129,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3125,c_0_1800]) ).
cnf(c_0_3130,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3126,c_0_1993]) ).
cnf(c_0_3131,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3127,c_0_2362]) ).
cnf(c_0_3132,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3128,c_0_1604]) ).
cnf(c_0_3133,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3129,c_0_1604]) ).
cnf(c_0_3134,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3130,c_0_1800]) ).
cnf(c_0_3135,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3131,c_0_2181]) ).
cnf(c_0_3136,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3132,c_0_1407]) ).
cnf(c_0_3137,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3133,c_0_1407]) ).
cnf(c_0_3138,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3134,c_0_1604]) ).
cnf(c_0_3139,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3135,c_0_1993]) ).
cnf(c_0_3140,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3136,c_0_1211]) ).
cnf(c_0_3141,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3137,c_0_1211]) ).
cnf(c_0_3142,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3138,c_0_1407]) ).
cnf(c_0_3143,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3139,c_0_1800]) ).
cnf(c_0_3144,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3140,c_0_1023]) ).
cnf(c_0_3145,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3141,c_0_1023]) ).
cnf(c_0_3146,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3142,c_0_1211]) ).
cnf(c_0_3147,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3143,c_0_1604]) ).
cnf(c_0_3148,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3144,c_0_846]) ).
cnf(c_0_3149,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3145,c_0_846]) ).
cnf(c_0_3150,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3146,c_0_1023]) ).
cnf(c_0_3151,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3147,c_0_1407]) ).
cnf(c_0_3152,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3148,c_0_675]) ).
cnf(c_0_3153,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3149,c_0_675]) ).
cnf(c_0_3154,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3150,c_0_846]) ).
cnf(c_0_3155,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3151,c_0_1211]) ).
cnf(c_0_3156,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3152,c_0_512]) ).
cnf(c_0_3157,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3153,c_0_512]) ).
cnf(c_0_3158,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3154,c_0_675]) ).
cnf(c_0_3159,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3155,c_0_1023]) ).
cnf(c_0_3160,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3156,c_0_359]) ).
cnf(c_0_3161,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3157,c_0_359]) ).
cnf(c_0_3162,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3158,c_0_512]) ).
cnf(c_0_3163,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3159,c_0_846]) ).
cnf(c_0_3164,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3160,c_0_224]) ).
cnf(c_0_3165,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3161,c_0_224]) ).
cnf(c_0_3166,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3162,c_0_359]) ).
cnf(c_0_3167,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3163,c_0_675]) ).
cnf(c_0_3168,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3164,c_0_136]) ).
cnf(c_0_3169,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3165,c_0_136]) ).
cnf(c_0_3170,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3166,c_0_224]) ).
cnf(c_0_3171,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3167,c_0_512]) ).
cnf(c_0_3172,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3168,c_0_85]) ).
cnf(c_0_3173,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3169,c_0_85]) ).
cnf(c_0_3174,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3170,c_0_136]) ).
cnf(c_0_3175,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3171,c_0_359]) ).
cnf(c_0_3176,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3172,c_0_58]) ).
cnf(c_0_3177,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3173,c_0_58]) ).
cnf(c_0_3178,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3174,c_0_85]) ).
cnf(c_0_3179,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3175,c_0_224]) ).
cnf(c_0_3180,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3176,c_0_45]) ).
cnf(c_0_3181,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3177,c_0_45]) ).
cnf(c_0_3182,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3178,c_0_58]) ).
cnf(c_0_3183,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3179,c_0_136]) ).
cnf(c_0_3184,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3180,c_0_39]) ).
cnf(c_0_3185,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3181,c_0_39]) ).
cnf(c_0_3186,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3182,c_0_45]) ).
cnf(c_0_3187,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3183,c_0_85]) ).
cnf(c_0_3188,plain,
~ bin_count(n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3184,c_0_36]) ).
cnf(c_0_3189,plain,
( bin_count(X1,X2,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,X2,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3185,c_0_36]) ).
cnf(c_0_3190,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3186,c_0_39]) ).
cnf(c_0_3191,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3187,c_0_58]) ).
cnf(c_0_3192,plain,
~ bin_count(n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3188,c_0_3189]) ).
cnf(c_0_3193,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3190,c_0_36]) ).
cnf(c_0_3194,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3191,c_0_45]) ).
cnf(c_0_3195,plain,
~ bin_count(n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3192,c_0_3092]) ).
cnf(c_0_3196,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3193,c_0_3092]) ).
cnf(c_0_3197,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3194,c_0_39]) ).
cnf(c_0_3198,plain,
~ bin_count(n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3195,c_0_2976]) ).
cnf(c_0_3199,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3196,c_0_2976]) ).
cnf(c_0_3200,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3197,c_0_36]) ).
cnf(c_0_3201,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3198,c_0_2843]) ).
cnf(c_0_3202,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3199,c_0_2843]) ).
cnf(c_0_3203,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3200,c_0_2843]) ).
cnf(c_0_3204,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3201,c_0_2695]) ).
cnf(c_0_3205,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3202,c_0_2695]) ).
cnf(c_0_3206,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3203,c_0_2695]) ).
cnf(c_0_3207,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3204,c_0_2534]) ).
cnf(c_0_3208,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3205,c_0_2534]) ).
cnf(c_0_3209,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3206,c_0_2534]) ).
cnf(c_0_3210,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3207,c_0_2362]) ).
cnf(c_0_3211,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3208,c_0_2362]) ).
cnf(c_0_3212,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3209,c_0_2362]) ).
cnf(c_0_3213,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3210,c_0_2181]) ).
cnf(c_0_3214,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3211,c_0_2181]) ).
cnf(c_0_3215,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3212,c_0_2181]) ).
cnf(c_0_3216,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3213,c_0_1993]) ).
cnf(c_0_3217,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3214,c_0_1993]) ).
cnf(c_0_3218,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3215,c_0_1993]) ).
cnf(c_0_3219,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3216,c_0_1800]) ).
cnf(c_0_3220,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3217,c_0_1800]) ).
cnf(c_0_3221,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3218,c_0_1800]) ).
cnf(c_0_3222,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3219,c_0_1604]) ).
cnf(c_0_3223,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3220,c_0_1604]) ).
cnf(c_0_3224,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3221,c_0_1604]) ).
cnf(c_0_3225,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3222,c_0_1407]) ).
cnf(c_0_3226,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3223,c_0_1407]) ).
cnf(c_0_3227,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3224,c_0_1407]) ).
cnf(c_0_3228,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3225,c_0_1211]) ).
cnf(c_0_3229,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3226,c_0_1211]) ).
cnf(c_0_3230,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3227,c_0_1211]) ).
cnf(c_0_3231,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3228,c_0_1023]) ).
cnf(c_0_3232,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3229,c_0_1023]) ).
cnf(c_0_3233,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3230,c_0_1023]) ).
cnf(c_0_3234,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3231,c_0_846]) ).
cnf(c_0_3235,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3232,c_0_846]) ).
cnf(c_0_3236,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3233,c_0_846]) ).
cnf(c_0_3237,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3234,c_0_675]) ).
cnf(c_0_3238,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3235,c_0_675]) ).
cnf(c_0_3239,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3236,c_0_675]) ).
cnf(c_0_3240,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3237,c_0_512]) ).
cnf(c_0_3241,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3238,c_0_512]) ).
cnf(c_0_3242,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3239,c_0_512]) ).
cnf(c_0_3243,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3240,c_0_359]) ).
cnf(c_0_3244,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3241,c_0_359]) ).
cnf(c_0_3245,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3242,c_0_359]) ).
cnf(c_0_3246,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3243,c_0_224]) ).
cnf(c_0_3247,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3244,c_0_224]) ).
cnf(c_0_3248,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3245,c_0_224]) ).
cnf(c_0_3249,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3246,c_0_136]) ).
cnf(c_0_3250,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3247,c_0_136]) ).
cnf(c_0_3251,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3248,c_0_136]) ).
cnf(c_0_3252,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3249,c_0_85]) ).
cnf(c_0_3253,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3250,c_0_85]) ).
cnf(c_0_3254,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3251,c_0_85]) ).
cnf(c_0_3255,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3252,c_0_58]) ).
cnf(c_0_3256,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3253,c_0_58]) ).
cnf(c_0_3257,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3254,c_0_58]) ).
cnf(c_0_3258,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3255,c_0_45]) ).
cnf(c_0_3259,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3256,c_0_45]) ).
cnf(c_0_3260,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3257,c_0_45]) ).
cnf(c_0_3261,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3258,c_0_39]) ).
cnf(c_0_3262,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3259,c_0_39]) ).
cnf(c_0_3263,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3260,c_0_39]) ).
cnf(c_0_3264,plain,
~ bin_count(n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3261,c_0_36]) ).
cnf(c_0_3265,plain,
( bin_count(X1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(X1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3262,c_0_36]) ).
cnf(c_0_3266,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3263,c_0_36]) ).
cnf(c_0_3267,plain,
~ bin_count(n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3264,c_0_3265]) ).
cnf(c_0_3268,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3266,c_0_2976]) ).
cnf(c_0_3269,plain,
~ bin_count(n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3267,c_0_3189]) ).
cnf(c_0_3270,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3268,c_0_2843]) ).
cnf(c_0_3271,plain,
~ bin_count(n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3269,c_0_3092]) ).
cnf(c_0_3272,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3270,c_0_2695]) ).
cnf(c_0_3273,plain,
~ bin_count(n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3271,c_0_2976]) ).
cnf(c_0_3274,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3272,c_0_2534]) ).
cnf(c_0_3275,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3273,c_0_2843]) ).
cnf(c_0_3276,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3274,c_0_2362]) ).
cnf(c_0_3277,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3275,c_0_2695]) ).
cnf(c_0_3278,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3276,c_0_2181]) ).
cnf(c_0_3279,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3277,c_0_2534]) ).
cnf(c_0_3280,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3278,c_0_1993]) ).
cnf(c_0_3281,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3279,c_0_2362]) ).
cnf(c_0_3282,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3280,c_0_1800]) ).
cnf(c_0_3283,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3281,c_0_2181]) ).
cnf(c_0_3284,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3282,c_0_1604]) ).
cnf(c_0_3285,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3283,c_0_1993]) ).
cnf(c_0_3286,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3284,c_0_1407]) ).
cnf(c_0_3287,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3285,c_0_1800]) ).
cnf(c_0_3288,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3286,c_0_1211]) ).
cnf(c_0_3289,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3287,c_0_1604]) ).
cnf(c_0_3290,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3288,c_0_1023]) ).
cnf(c_0_3291,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3289,c_0_1407]) ).
cnf(c_0_3292,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3290,c_0_846]) ).
cnf(c_0_3293,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3291,c_0_1211]) ).
cnf(c_0_3294,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3292,c_0_675]) ).
cnf(c_0_3295,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3293,c_0_1023]) ).
cnf(c_0_3296,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3294,c_0_512]) ).
cnf(c_0_3297,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3295,c_0_846]) ).
cnf(c_0_3298,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3296,c_0_359]) ).
cnf(c_0_3299,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3297,c_0_675]) ).
cnf(c_0_3300,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3298,c_0_224]) ).
cnf(c_0_3301,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3299,c_0_512]) ).
cnf(c_0_3302,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3300,c_0_136]) ).
cnf(c_0_3303,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3301,c_0_359]) ).
cnf(c_0_3304,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3302,c_0_85]) ).
cnf(c_0_3305,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3303,c_0_224]) ).
cnf(c_0_3306,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0) ),
inference(spm,[status(thm)],[c_0_3304,c_0_58]) ).
cnf(c_0_3307,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3305,c_0_136]) ).
cnf(c_0_3308,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0) ),
inference(spm,[status(thm)],[c_0_3306,c_0_45]) ).
cnf(c_0_3309,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3307,c_0_85]) ).
cnf(c_0_3310,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1) ),
inference(spm,[status(thm)],[c_0_3308,c_0_39]) ).
cnf(c_0_3311,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3309,c_0_58]) ).
cnf(c_0_3312,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3310,c_0_36]) ).
cnf(c_0_3313,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3311,c_0_45]) ).
cnf(c_0_3314,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3312,c_0_3092]) ).
cnf(c_0_3315,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3313,c_0_39]) ).
cnf(c_0_3316,plain,
( bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0)
| ~ bin_count(n0,n1,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0) ),
inference(spm,[status(thm)],[c_0_3314,c_0_2976]) ).
cnf(c_0_3317,plain,
~ bin_count(n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3315,c_0_36]) ).
cnf(c_0_3318,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3316,c_0_2843]),c_0_3317]) ).
cnf(c_0_3319,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3318,c_0_2695]) ).
cnf(c_0_3320,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3319,c_0_2534]) ).
cnf(c_0_3321,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3320,c_0_2362]) ).
cnf(c_0_3322,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3321,c_0_2181]) ).
cnf(c_0_3323,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3322,c_0_1993]) ).
cnf(c_0_3324,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3323,c_0_1800]) ).
cnf(c_0_3325,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3324,c_0_1604]) ).
cnf(c_0_3326,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3325,c_0_1407]) ).
cnf(c_0_3327,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3326,c_0_1211]) ).
cnf(c_0_3328,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3327,c_0_1023]) ).
cnf(c_0_3329,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3328,c_0_846]) ).
cnf(c_0_3330,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3329,c_0_675]) ).
cnf(c_0_3331,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3330,c_0_512]) ).
cnf(c_0_3332,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3331,c_0_359]) ).
cnf(c_0_3333,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3332,c_0_224]) ).
cnf(c_0_3334,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3333,c_0_136]) ).
cnf(c_0_3335,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3334,c_0_85]) ).
cnf(c_0_3336,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3335,c_0_58]) ).
cnf(c_0_3337,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3336,c_0_45]) ).
cnf(c_0_3338,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3337,c_0_39]) ).
cnf(c_0_3339,plain,
~ bin_count(n0,n1,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3338,c_0_36]) ).
cnf(c_0_3340,plain,
~ bin_count(n0,n1,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3339,c_0_3189]) ).
cnf(c_0_3341,plain,
~ bin_count(n0,n1,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3340,c_0_3092]) ).
cnf(c_0_3342,plain,
~ bin_count(n0,n1,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3341,c_0_2976]) ).
cnf(c_0_3343,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3342,c_0_2843]) ).
cnf(c_0_3344,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3343,c_0_2695]) ).
cnf(c_0_3345,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3344,c_0_2534]) ).
cnf(c_0_3346,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3345,c_0_2362]) ).
cnf(c_0_3347,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3346,c_0_2181]) ).
cnf(c_0_3348,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3347,c_0_1993]) ).
cnf(c_0_3349,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3348,c_0_1800]) ).
cnf(c_0_3350,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3349,c_0_1604]) ).
cnf(c_0_3351,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3350,c_0_1407]) ).
cnf(c_0_3352,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3351,c_0_1211]) ).
cnf(c_0_3353,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3352,c_0_1023]) ).
cnf(c_0_3354,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3353,c_0_846]) ).
cnf(c_0_3355,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3354,c_0_675]) ).
cnf(c_0_3356,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3355,c_0_512]) ).
cnf(c_0_3357,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3356,c_0_359]) ).
cnf(c_0_3358,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3357,c_0_224]) ).
cnf(c_0_3359,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3358,c_0_136]) ).
cnf(c_0_3360,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3359,c_0_85]) ).
cnf(c_0_3361,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3360,c_0_58]) ).
cnf(c_0_3362,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3361,c_0_45]) ).
cnf(c_0_3363,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3362,c_0_39]) ).
cnf(c_0_3364,plain,
~ bin_count(n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3363,c_0_36]) ).
cnf(c_0_3365,plain,
~ bin_count(n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3364,c_0_3265]) ).
cnf(c_0_3366,plain,
~ bin_count(n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3365,c_0_3189]) ).
cnf(c_0_3367,plain,
~ bin_count(n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3366,c_0_3092]) ).
cnf(c_0_3368,plain,
~ bin_count(n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3367,c_0_2976]) ).
cnf(c_0_3369,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3368,c_0_2843]) ).
cnf(c_0_3370,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3369,c_0_2695]) ).
cnf(c_0_3371,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3370,c_0_2534]) ).
cnf(c_0_3372,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3371,c_0_2362]) ).
cnf(c_0_3373,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3372,c_0_2181]) ).
cnf(c_0_3374,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3373,c_0_1993]) ).
cnf(c_0_3375,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3374,c_0_1800]) ).
cnf(c_0_3376,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3375,c_0_1604]) ).
cnf(c_0_3377,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3376,c_0_1407]) ).
cnf(c_0_3378,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3377,c_0_1211]) ).
cnf(c_0_3379,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3378,c_0_1023]) ).
cnf(c_0_3380,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3379,c_0_846]) ).
cnf(c_0_3381,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3380,c_0_675]) ).
cnf(c_0_3382,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3381,c_0_512]) ).
cnf(c_0_3383,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3382,c_0_359]) ).
cnf(c_0_3384,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3383,c_0_224]) ).
cnf(c_0_3385,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3384,c_0_136]) ).
cnf(c_0_3386,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0,n0),
inference(spm,[status(thm)],[c_0_3385,c_0_85]) ).
cnf(c_0_3387,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0,n0),
inference(spm,[status(thm)],[c_0_3386,c_0_58]) ).
cnf(c_0_3388,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1,n0),
inference(spm,[status(thm)],[c_0_3387,c_0_45]) ).
cnf(c_0_3389,plain,
~ bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n1),
inference(spm,[status(thm)],[c_0_3388,c_0_39]) ).
cnf(c_0_3390,plain,
bin_count(n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0,n0),
inference(split_conjunct,[status(thm)],[start]) ).
cnf(c_0_3391,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3389,c_0_36]),c_0_3390])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO525+1.027 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 16:44:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.1TaMSkd49t/E---3.1_5497.p
% 5.45/300.02 # Version: 3.1pre001
% 5.45/300.02 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.45/300.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.45/300.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.45/300.02 # Starting new_bool_3 with 300s (1) cores
% 5.45/300.02 # Starting new_bool_1 with 300s (1) cores
% 5.45/300.02 # Starting sh5l with 300s (1) cores
% 5.45/300.02 # new_bool_3 with pid 5575 completed with status 0
% 5.45/300.02 # Result found by new_bool_3
% 5.45/300.02 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.45/300.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.45/300.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.45/300.02 # Starting new_bool_3 with 300s (1) cores
% 5.45/300.02 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.45/300.02 # Search class: FHUNF-FFLF00-SFFFFFNN
% 5.45/300.02 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.45/300.02 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 5.45/300.02 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 5580 completed with status 0
% 5.45/300.02 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 5.45/300.02 # Preprocessing class: FSLSSMSSSSSNFFN.
% 5.45/300.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.45/300.02 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.45/300.02 # Starting new_bool_3 with 300s (1) cores
% 5.45/300.02 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.45/300.02 # Search class: FHUNF-FFLF00-SFFFFFNN
% 5.45/300.02 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 5.45/300.02 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 181s (1) cores
% 5.45/300.02 # Preprocessing time : 0.002 s
% 5.45/300.02 # Presaturation interreduction done
% 5.45/300.02
% 5.45/300.02 # Proof found!
% 5.45/300.02 # SZS status Theorem
% 5.45/300.02 # SZS output start CNFRefutation
% See solution above
% 5.45/300.03 # Parsed axioms : 30
% 5.45/300.03 # Removed by relevancy pruning/SinE : 0
% 5.45/300.03 # Initial clauses : 30
% 5.45/300.03 # Removed in clause preprocessing : 0
% 5.45/300.03 # Initial clauses in saturation : 30
% 5.45/300.03 # Processed clauses : 3361
% 5.45/300.03 # ...of these trivial : 0
% 5.45/300.03 # ...subsumed : 0
% 5.45/300.03 # ...remaining for further processing : 3361
% 5.45/300.03 # Other redundant clauses eliminated : 0
% 5.45/300.03 # Clauses deleted for lack of memory : 0
% 5.45/300.03 # Backward-subsumed : 0
% 5.45/300.03 # Backward-rewritten : 0
% 5.45/300.03 # Generated clauses : 3302
% 5.45/300.03 # ...of the previous two non-redundant : 3301
% 5.45/300.03 # ...aggressively subsumed : 0
% 5.45/300.03 # Contextual simplify-reflections : 0
% 5.45/300.03 # Paramodulations : 3302
% 5.45/300.03 # Factorizations : 0
% 5.45/300.03 # NegExts : 0
% 5.45/300.03 # Equation resolutions : 0
% 5.45/300.03 # Total rewrite steps : 1
% 5.45/300.03 # Propositional unsat checks : 0
% 5.45/300.03 # Propositional check models : 0
% 5.45/300.03 # Propositional check unsatisfiable : 0
% 5.45/300.03 # Propositional clauses : 0
% 5.45/300.03 # Propositional clauses after purity: 0
% 5.45/300.03 # Propositional unsat core size : 0
% 5.45/300.03 # Propositional preprocessing time : 0.000
% 5.45/300.03 # Propositional encoding time : 0.000
% 5.45/300.03 # Propositional solver time : 0.000
% 5.45/300.03 # Success case prop preproc time : 0.000
% 5.45/300.03 # Success case prop encoding time : 0.000
% 5.45/300.03 # Success case prop solver time : 0.000
% 5.45/300.03 # Current number of processed clauses : 3331
% 5.45/300.03 # Positive orientable unit clauses : 1
% 5.45/300.03 # Positive unorientable unit clauses: 0
% 5.45/300.03 # Negative unit clauses : 425
% 5.45/300.03 # Non-unit-clauses : 2905
% 5.45/300.03 # Current number of unprocessed clauses: 0
% 5.45/300.03 # ...number of literals in the above : 0
% 5.45/300.03 # Current number of archived formulas : 0
% 5.45/300.03 # Current number of archived clauses : 30
% 5.45/300.03 # Clause-clause subsumption calls (NU) : 1560599
% 5.45/300.03 # Rec. Clause-clause subsumption calls : 1560599
% 5.45/300.03 # Non-unit clause-clause subsumptions : 0
% 5.45/300.03 # Unit Clause-clause subsumption calls : 5024
% 5.45/300.03 # Rewrite failures with RHS unbound : 0
% 5.45/300.03 # BW rewrite match attempts : 0
% 5.45/300.03 # BW rewrite match successes : 0
% 5.45/300.03 # Condensation attempts : 0
% 5.45/300.03 # Condensation successes : 0
% 5.45/300.03 # Termbank termtop insertions : 205389
% 5.45/300.03
% 5.45/300.03 # -------------------------------------------------
% 5.45/300.03 # User time : 0.633 s
% 5.45/300.03 # System time : 0.014 s
% 5.45/300.03 # Total time : 0.646 s
% 5.45/300.03 # Maximum resident set size: 2952 pages
% 5.45/300.03
% 5.45/300.03 # -------------------------------------------------
% 5.45/300.03 # User time : 0.635 s
% 5.45/300.03 # System time : 0.019 s
% 5.45/300.03 # Total time : 0.653 s
% 5.45/300.03 # Maximum resident set size: 2652 pages
% 5.45/300.03 % E---3.1 exiting
%------------------------------------------------------------------------------