%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG226+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:08:19 PM UTC 2026
% Result : Theorem 240.74s 162.54s
% Output : CNFRefutation 250.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_2785)
% Comments :
%------------------------------------------------------------------------------
fof(fraenkel_a_2_1_closure3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& v2_relat_1(X3)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_1_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_1_closure3) ).
fof(fraenkel_a_2_0_closure3,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(fc2_pboole,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& v2_relat_1(X2)
& m1_pboole(X2,X1)
& m1_subset_1(X3,X1) )
=> ~ v1_xboole_0(k1_funct_1(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pboole) ).
fof(t7_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> ! [X3] :
( ( v2_relat_1(X3)
& m1_pboole(X3,X1) )
=> ( ( k1_closure3(X1,X2) = k1_closure3(X1,X3)
& k7_relat_1(X2,k1_closure3(X1,X2)) = k7_relat_1(X3,k1_closure3(X1,X3)) )
=> r6_pboole(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_closure3) ).
fof(d3_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_closure3) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc2_pboole,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ( v3_relat_1(X2)
=> ~ v2_relat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_pboole) ).
fof(cc1_pboole,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ( v2_relat_1(X2)
=> ~ v3_relat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_pboole) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(symmetry_r6_pboole,axiom,
! [X1,X2,X3] :
( ( m1_pboole(X2,X1)
& m1_pboole(X3,X1) )
=> ( r6_pboole(X1,X2,X3)
=> r6_pboole(X1,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r6_pboole) ).
fof(t70_funct_1,axiom,
! [X1,X2,X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( r2_hidden(X2,k1_relat_1(k7_relat_1(X3,X1)))
=> k1_funct_1(k7_relat_1(X3,X1),X2) = k1_funct_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).
fof(t9_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ! [X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( ( k1_relat_1(X1) = k1_relat_1(X2)
& ! [X3] :
( r2_hidden(X3,k1_relat_1(X1))
=> k1_funct_1(X1,X3) = k1_funct_1(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_funct_1) ).
fof(redefinition_r6_pboole,axiom,
! [X1,X2,X3] :
( ( m1_pboole(X2,X1)
& m1_pboole(X3,X1) )
=> ( r6_pboole(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r6_pboole) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(d16_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v2_relat_1(X2)
<=> ! [X3] :
~ ( r2_hidden(X3,X1)
& v1_xboole_0(k1_funct_1(X2,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_pboole) ).
fof(reflexivity_r6_pboole,axiom,
! [X1,X2,X3] :
( ( m1_pboole(X2,X1)
& m1_pboole(X3,X1) )
=> r6_pboole(X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r6_pboole) ).
fof(t90_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> k1_relat_1(k7_relat_1(X2,X1)) = k3_xboole_0(k1_relat_1(X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t90_relat_1) ).
fof(fc4_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(k7_relat_1(X1,X2))
& v1_funct_1(k7_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(cc1_mssubfam,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v3_relat_1(X2)
=> v1_pre_circ(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_mssubfam) ).
fof(d3_pboole,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( m1_pboole(X2,X1)
<=> k1_relat_1(X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pboole) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X1)
=> v1_relat_1(k7_relat_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(fc11_finset_1,axiom,
! [X1,X2] :
( v1_finset_1(X1)
=> v1_finset_1(k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc11_finset_1) ).
fof(fc10_finset_1,axiom,
! [X1,X2] :
( v1_finset_1(X2)
=> v1_finset_1(k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_finset_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(cc2_funct_1,axiom,
! [X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) )
=> ( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(rc3_pboole,axiom,
! [X1] :
? [X2] :
( m1_pboole(X2,X1)
& v1_relat_1(X2)
& v2_relat_1(X2)
& v1_funct_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_pboole) ).
fof(rc2_pboole,axiom,
! [X1] :
? [X2] :
( m1_pboole(X2,X1)
& v1_relat_1(X2)
& v3_relat_1(X2)
& v1_funct_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_pboole) ).
fof(existence_m1_pboole,axiom,
! [X1] :
? [X2] : m1_pboole(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pboole) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(t2_boole,axiom,
! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(cc1_funct_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(cc1_closure2,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_fraenkel(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_closure2) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(rc1_closure2,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1)
& v1_funct_1(X1)
& v2_funct_1(X1)
& v1_finset_1(X1)
& v1_fraenkel(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_closure2) ).
fof(rc5_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v2_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_funct_1) ).
fof(rc4_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_funct_1) ).
fof(rc2_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_xboole_0(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(rc1_pboole,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_pboole) ).
fof(rc1_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_51,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& v2_relat_1(X3)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_1_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_1_closure3]) ).
fof(i_0_52,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X2)
& m1_pboole(X3,X2) )
=> ( r2_hidden(X1,a_2_0_closure3(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,X2)
& X1 = X4
& k1_funct_1(X3,X4) != k1_xboole_0 ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_closure3]) ).
fof(i_0_53,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& v2_relat_1(X2)
& m1_pboole(X2,X1)
& m1_subset_1(X3,X1) )
=> ~ v1_xboole_0(k1_funct_1(X2,X3)) ),
inference(fof_simplification,[status(thm)],[fc2_pboole]) ).
fof(i_0_54,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> ! [X3] :
( ( v2_relat_1(X3)
& m1_pboole(X3,X1) )
=> ( ( k1_closure3(X1,X2) = k1_closure3(X1,X3)
& k7_relat_1(X2,k1_closure3(X1,X2)) = k7_relat_1(X3,k1_closure3(X1,X3)) )
=> r6_pboole(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_closure3])]) ).
fof(i_0_55,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( X3 = k1_closure3(X1,X2)
<=> X3 = a_2_0_closure3(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[d3_closure3]) ).
fof(i_0_56,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_57,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ( v3_relat_1(X2)
=> ~ v2_relat_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[cc2_pboole]) ).
fof(i_0_58,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ( v2_relat_1(X2)
=> ~ v3_relat_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_pboole]) ).
fof(i_0_59,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_60,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_61,plain,
! [X131,X132,X133,X134,X135,X136,X137,X138] :
( ( r2_hidden(X134,X131)
| ~ r2_hidden(X134,X133)
| X133 != k3_xboole_0(X131,X132) )
& ( r2_hidden(X134,X132)
| ~ r2_hidden(X134,X133)
| X133 != k3_xboole_0(X131,X132) )
& ( ~ r2_hidden(X135,X131)
| ~ r2_hidden(X135,X132)
| r2_hidden(X135,X133)
| X133 != k3_xboole_0(X131,X132) )
& ( ~ r2_hidden(esk5_3(X136,X137,X138),X138)
| ~ r2_hidden(esk5_3(X136,X137,X138),X136)
| ~ r2_hidden(esk5_3(X136,X137,X138),X137)
| X138 = k3_xboole_0(X136,X137) )
& ( r2_hidden(esk5_3(X136,X137,X138),X136)
| r2_hidden(esk5_3(X136,X137,X138),X138)
| X138 = k3_xboole_0(X136,X137) )
& ( r2_hidden(esk5_3(X136,X137,X138),X137)
| r2_hidden(esk5_3(X136,X137,X138),X138)
| X138 = k3_xboole_0(X136,X137) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])]) ).
fof(i_0_62,plain,
! [X162,X163,X164,X166] :
( ( m1_subset_1(esk9_3(X162,X163,X164),X163)
| ~ r2_hidden(X162,a_2_1_closure3(X163,X164))
| v1_xboole_0(X163)
| ~ v2_relat_1(X164)
| ~ m1_pboole(X164,X163) )
& ( X162 = esk9_3(X162,X163,X164)
| ~ r2_hidden(X162,a_2_1_closure3(X163,X164))
| v1_xboole_0(X163)
| ~ v2_relat_1(X164)
| ~ m1_pboole(X164,X163) )
& ( k1_funct_1(X164,esk9_3(X162,X163,X164)) != k1_xboole_0
| ~ r2_hidden(X162,a_2_1_closure3(X163,X164))
| v1_xboole_0(X163)
| ~ v2_relat_1(X164)
| ~ m1_pboole(X164,X163) )
& ( ~ m1_subset_1(X166,X163)
| X162 != X166
| k1_funct_1(X164,X166) = k1_xboole_0
| r2_hidden(X162,a_2_1_closure3(X163,X164))
| v1_xboole_0(X163)
| ~ v2_relat_1(X164)
| ~ m1_pboole(X164,X163) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_51])])])])]) ).
fof(i_0_63,plain,
! [X157,X158,X159,X161] :
( ( m1_subset_1(esk8_3(X157,X158,X159),X158)
| ~ r2_hidden(X157,a_2_0_closure3(X158,X159))
| v1_xboole_0(X158)
| ~ m1_pboole(X159,X158) )
& ( X157 = esk8_3(X157,X158,X159)
| ~ r2_hidden(X157,a_2_0_closure3(X158,X159))
| v1_xboole_0(X158)
| ~ m1_pboole(X159,X158) )
& ( k1_funct_1(X159,esk8_3(X157,X158,X159)) != k1_xboole_0
| ~ r2_hidden(X157,a_2_0_closure3(X158,X159))
| v1_xboole_0(X158)
| ~ m1_pboole(X159,X158) )
& ( ~ m1_subset_1(X161,X158)
| X157 != X161
| k1_funct_1(X159,X161) = k1_xboole_0
| r2_hidden(X157,a_2_0_closure3(X158,X159))
| v1_xboole_0(X158)
| ~ m1_pboole(X159,X158) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_52])])])])]) ).
fof(i_0_64,plain,
! [X188,X189,X190] :
( ~ m1_pboole(X189,X188)
| ~ m1_pboole(X190,X188)
| ~ r6_pboole(X188,X189,X190)
| r6_pboole(X188,X190,X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[symmetry_r6_pboole])]) ).
fof(i_0_65,plain,
! [X200,X201,X202] :
( ~ v1_relat_1(X202)
| ~ v1_funct_1(X202)
| ~ r2_hidden(X201,k1_relat_1(k7_relat_1(X202,X200)))
| k1_funct_1(k7_relat_1(X202,X200),X201) = k1_funct_1(X202,X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t70_funct_1])]) ).
fof(i_0_66,plain,
! [X209,X210] :
( ( r2_hidden(esk23_2(X209,X210),k1_relat_1(X209))
| k1_relat_1(X209) != k1_relat_1(X210)
| X209 = X210
| ~ v1_relat_1(X210)
| ~ v1_funct_1(X210)
| ~ v1_relat_1(X209)
| ~ v1_funct_1(X209) )
& ( k1_funct_1(X209,esk23_2(X209,X210)) != k1_funct_1(X210,esk23_2(X209,X210))
| k1_relat_1(X209) != k1_relat_1(X210)
| X209 = X210
| ~ v1_relat_1(X210)
| ~ v1_funct_1(X210)
| ~ v1_relat_1(X209)
| ~ v1_funct_1(X209) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_funct_1])])])])]) ).
fof(i_0_67,plain,
! [X182,X183,X184] :
( ( ~ r6_pboole(X182,X183,X184)
| X183 = X184
| ~ m1_pboole(X183,X182)
| ~ m1_pboole(X184,X182) )
& ( X183 != X184
| r6_pboole(X182,X183,X184)
| ~ m1_pboole(X183,X182)
| ~ m1_pboole(X184,X182) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r6_pboole])])]) ).
fof(i_0_68,plain,
! [X196,X197] :
( ( ~ r2_hidden(esk22_2(X196,X197),X196)
| ~ r2_hidden(esk22_2(X196,X197),X197)
| X196 = X197 )
& ( r2_hidden(esk22_2(X196,X197),X196)
| r2_hidden(esk22_2(X196,X197),X197)
| X196 = X197 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_69,plain,
! [X122,X123,X124] :
( ( ~ v2_relat_1(X123)
| ~ r2_hidden(X124,X122)
| ~ v1_xboole_0(k1_funct_1(X123,X124))
| ~ m1_pboole(X123,X122) )
& ( r2_hidden(esk4_2(X122,X123),X122)
| v2_relat_1(X123)
| ~ m1_pboole(X123,X122) )
& ( v1_xboole_0(k1_funct_1(X123,esk4_2(X122,X123)))
| v2_relat_1(X123)
| ~ m1_pboole(X123,X122) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d16_pboole])])])])]) ).
fof(i_0_70,plain,
! [X152,X153,X154] :
( v1_xboole_0(X152)
| ~ v2_relat_1(X153)
| ~ m1_pboole(X153,X152)
| ~ m1_subset_1(X154,X152)
| ~ v1_xboole_0(k1_funct_1(X153,X154)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_53])]) ).
fof(i_0_71,plain,
! [X185,X186,X187] :
( ~ m1_pboole(X186,X185)
| ~ m1_pboole(X187,X185)
| r6_pboole(X185,X186,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r6_pboole])]) ).
fof(i_0_72,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& v2_relat_1(esk2_0)
& m1_pboole(esk2_0,esk1_0)
& v2_relat_1(esk3_0)
& m1_pboole(esk3_0,esk1_0)
& k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0)
& k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0))
& ~ r6_pboole(esk1_0,esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_54])])]) ).
fof(i_0_73,plain,
! [X126,X127,X128] :
( ( X128 != k1_closure3(X126,X127)
| X128 = a_2_0_closure3(X126,X127)
| ~ m1_pboole(X127,X126)
| v1_xboole_0(X126) )
& ( X128 != a_2_0_closure3(X126,X127)
| X128 = k1_closure3(X126,X127)
| ~ m1_pboole(X127,X126)
| v1_xboole_0(X126) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_55])])])]) ).
fof(i_0_74,plain,
! [X207,X208] :
( ~ v1_relat_1(X208)
| k1_relat_1(k7_relat_1(X208,X207)) = k3_xboole_0(k1_relat_1(X208),X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t90_relat_1])]) ).
fof(i_0_75,plain,
! [X108,X109] :
( ~ r2_hidden(X108,X109)
| ~ r2_hidden(X109,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_56])]) ).
fof(i_0_76,plain,
! [X155,X156] :
( ( v1_relat_1(k7_relat_1(X155,X156))
| ~ v1_relat_1(X155)
| ~ v1_funct_1(X155) )
& ( v1_funct_1(k7_relat_1(X155,X156))
| ~ v1_relat_1(X155)
| ~ v1_funct_1(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_funct_1])])]) ).
fof(i_0_77,plain,
! [X113,X114] :
( ~ m1_pboole(X114,X113)
| ~ v3_relat_1(X114)
| v1_pre_circ(X114,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_mssubfam])]) ).
fof(i_0_78,plain,
! [X129,X130] :
( ( ~ m1_pboole(X130,X129)
| k1_relat_1(X130) = X129
| ~ v1_relat_1(X130)
| ~ v1_funct_1(X130) )
& ( k1_relat_1(X130) != X129
| m1_pboole(X130,X129)
| ~ v1_relat_1(X130)
| ~ v1_funct_1(X130) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
fof(i_0_79,plain,
! [X194,X195] :
( ~ m1_subset_1(X194,X195)
| v1_xboole_0(X195)
| r2_hidden(X194,X195) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_80,plain,
! [X118,X119] :
( v1_xboole_0(X118)
| ~ m1_pboole(X119,X118)
| ~ v3_relat_1(X119)
| ~ v2_relat_1(X119) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_57])])]) ).
fof(i_0_81,plain,
! [X115,X116] :
( v1_xboole_0(X115)
| ~ m1_pboole(X116,X115)
| ~ v2_relat_1(X116)
| ~ v3_relat_1(X116) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_58])])]) ).
fof(i_0_82,plain,
! [X140,X141] :
( ~ v1_relat_1(X140)
| v1_relat_1(k7_relat_1(X140,X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])]) ).
fof(i_0_83,plain,
! [X150,X151] :
( ~ v1_finset_1(X150)
| v1_finset_1(k3_xboole_0(X150,X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_finset_1])]) ).
fof(i_0_84,plain,
! [X148,X149] :
( ~ v1_finset_1(X149)
| v1_finset_1(k3_xboole_0(X148,X149)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_finset_1])]) ).
fof(i_0_85,plain,
! [X191,X192] :
( ~ r2_hidden(X191,X192)
| m1_subset_1(X191,X192) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_86,plain,
! [X203,X204] :
( ~ r2_hidden(X203,X204)
| ~ v1_xboole_0(X204) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_87,plain,
! [X120,X121] : k3_xboole_0(X120,X121) = k3_xboole_0(X121,X120),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_88,plain,
! [X142,X143] :
( ( v1_relat_1(X143)
| ~ m1_pboole(X143,X142) )
& ( v1_funct_1(X143)
| ~ m1_pboole(X143,X142) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
fof(i_0_89,plain,
! [X117] :
( ( v1_relat_1(X117)
| ~ v1_relat_1(X117)
| ~ v1_xboole_0(X117)
| ~ v1_funct_1(X117) )
& ( v1_funct_1(X117)
| ~ v1_relat_1(X117)
| ~ v1_xboole_0(X117)
| ~ v1_funct_1(X117) )
& ( v2_funct_1(X117)
| ~ v1_relat_1(X117)
| ~ v1_xboole_0(X117)
| ~ v1_funct_1(X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_90,plain,
! [X146] : m1_subset_1(esk7_1(X146),X146),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_91,plain,
! [X178] :
( m1_pboole(esk19_1(X178),X178)
& v1_relat_1(esk19_1(X178))
& v2_relat_1(esk19_1(X178))
& v1_funct_1(esk19_1(X178)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_pboole])]) ).
fof(i_0_92,plain,
! [X174] :
( m1_pboole(esk16_1(X174),X174)
& v1_relat_1(esk16_1(X174))
& v3_relat_1(esk16_1(X174))
& v1_funct_1(esk16_1(X174)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_pboole])]) ).
fof(i_0_93,plain,
! [X144] : m1_pboole(esk6_1(X144),X144),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_pboole])]) ).
fof(i_0_94,plain,
! [X205,X206] :
( ~ v1_xboole_0(X205)
| X205 = X206
| ~ v1_xboole_0(X206) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_95,plain,
! [X167] : k3_xboole_0(X167,X167) = X167,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_96,plain,
! [X193] : k3_xboole_0(X193,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_97,plain,
! [X112] :
( ~ v1_xboole_0(X112)
| v1_funct_1(X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_98,plain,
! [X111] :
( ~ v1_xboole_0(X111)
| v1_finset_1(X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_99,plain,
! [X110] :
( ~ v1_xboole_0(X110)
| v1_fraenkel(X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_closure2])]) ).
fof(i_0_100,plain,
! [X199] :
( ~ v1_xboole_0(X199)
| X199 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_101,plain,
~ v1_xboole_0(esk17_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_59])]) ).
fof(i_0_102,plain,
( ~ v1_xboole_0(esk11_0)
& v1_finset_1(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_60])]) ).
fof(i_0_103,plain,
( v1_relat_1(esk18_0)
& v1_funct_1(esk18_0)
& v2_funct_1(esk18_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_104,plain,
( v1_xboole_0(esk10_0)
& v1_relat_1(esk10_0)
& v1_funct_1(esk10_0)
& v2_funct_1(esk10_0)
& v1_finset_1(esk10_0)
& v1_fraenkel(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_closure2])]) ).
fof(i_0_105,plain,
( v1_relat_1(esk21_0)
& v2_relat_1(esk21_0)
& v1_funct_1(esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc5_funct_1])]) ).
fof(i_0_106,plain,
( v1_relat_1(esk20_0)
& v3_relat_1(esk20_0)
& v1_funct_1(esk20_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc4_funct_1])]) ).
fof(i_0_107,plain,
( v1_relat_1(esk15_0)
& v1_xboole_0(esk15_0)
& v1_funct_1(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_funct_1])]) ).
fof(i_0_108,plain,
( v1_relat_1(esk13_0)
& v3_relat_1(esk13_0)
& v1_funct_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_pboole])]) ).
fof(i_0_109,plain,
( v1_relat_1(esk12_0)
& v1_funct_1(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_110,plain,
v1_xboole_0(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_111,plain,
( X3 = k3_xboole_0(X1,X2)
| ~ r2_hidden(esk5_3(X1,X2,X3),X3)
| ~ r2_hidden(esk5_3(X1,X2,X3),X1)
| ~ r2_hidden(esk5_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_112,plain,
( v1_xboole_0(X3)
| k1_funct_1(X1,esk9_3(X2,X3,X1)) != k1_xboole_0
| ~ r2_hidden(X2,a_2_1_closure3(X3,X1))
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_113,plain,
( v1_xboole_0(X3)
| k1_funct_1(X1,esk8_3(X2,X3,X1)) != k1_xboole_0
| ~ r2_hidden(X2,a_2_0_closure3(X3,X1))
| ~ m1_pboole(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_114,plain,
( r2_hidden(esk5_3(X1,X2,X3),X1)
| r2_hidden(esk5_3(X1,X2,X3),X3)
| X3 = k3_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_115,plain,
( r2_hidden(esk5_3(X1,X2,X3),X2)
| r2_hidden(esk5_3(X1,X2,X3),X3)
| X3 = k3_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_116,plain,
( m1_subset_1(esk9_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_1_closure3(X2,X3))
| ~ v2_relat_1(X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_117,plain,
( m1_subset_1(esk8_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_118,plain,
( r6_pboole(X2,X3,X1)
| ~ m1_pboole(X1,X2)
| ~ m1_pboole(X3,X2)
| ~ r6_pboole(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_119,plain,
( k1_funct_1(k7_relat_1(X1,X3),X2) = k1_funct_1(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X2,k1_relat_1(k7_relat_1(X1,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_120,plain,
( X1 = X2
| k1_funct_1(X1,esk23_2(X1,X2)) != k1_funct_1(X2,esk23_2(X1,X2))
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_121,plain,
( X1 = esk9_3(X1,X2,X3)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_1_closure3(X2,X3))
| ~ v2_relat_1(X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_122,plain,
( X1 = esk8_3(X1,X2,X3)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_123,plain,
( X2 = X3
| ~ r6_pboole(X1,X2,X3)
| ~ m1_pboole(X2,X1)
| ~ m1_pboole(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_124,plain,
( X1 = X2
| ~ r2_hidden(esk22_2(X1,X2),X1)
| ~ r2_hidden(esk22_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_125,plain,
( k1_funct_1(X4,X1) = k1_xboole_0
| r2_hidden(X3,a_2_1_closure3(X2,X4))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| X3 != X1
| ~ v2_relat_1(X4)
| ~ m1_pboole(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_126,plain,
( v1_xboole_0(k1_funct_1(X1,esk4_2(X2,X1)))
| v2_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_127,plain,
( k1_funct_1(X4,X1) = k1_xboole_0
| r2_hidden(X3,a_2_0_closure3(X2,X4))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2)
| X3 != X1
| ~ m1_pboole(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_128,plain,
( v1_xboole_0(X1)
| ~ v2_relat_1(X2)
| ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,X1)
| ~ v1_xboole_0(k1_funct_1(X2,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_129,plain,
( r6_pboole(X3,X1,X2)
| X1 != X2
| ~ m1_pboole(X1,X3)
| ~ m1_pboole(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_130,plain,
( ~ v2_relat_1(X1)
| ~ r2_hidden(X2,X3)
| ~ v1_xboole_0(k1_funct_1(X1,X2))
| ~ m1_pboole(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_131,plain,
( r6_pboole(X2,X1,X1)
| ~ m1_pboole(X1,X2)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_132,plain,
( r2_hidden(esk23_2(X1,X2),k1_relat_1(X1))
| X1 = X2
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_133,plain,
( r2_hidden(X1,X4)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X4 != k3_xboole_0(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_134,plain,
( r2_hidden(esk22_2(X1,X2),X1)
| r2_hidden(esk22_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_135,negated_conjecture,
~ r6_pboole(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_136,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| v2_relat_1(X2)
| ~ m1_pboole(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_137,plain,
( X1 = a_2_0_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != k1_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_138,plain,
( X1 = k1_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != a_2_0_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_139,negated_conjecture,
k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_140,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_141,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_142,plain,
( k1_relat_1(k7_relat_1(X1,X2)) = k3_xboole_0(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_143,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_144,plain,
( v1_relat_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_145,plain,
( v1_funct_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_146,plain,
( v1_pre_circ(X1,X2)
| ~ m1_pboole(X1,X2)
| ~ v3_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_147,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_148,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_149,plain,
( v1_xboole_0(X1)
| ~ m1_pboole(X2,X1)
| ~ v3_relat_1(X2)
| ~ v2_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_150,plain,
( v1_xboole_0(X1)
| ~ m1_pboole(X2,X1)
| ~ v2_relat_1(X2)
| ~ v3_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_151,plain,
( v1_relat_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_152,plain,
( v1_finset_1(k3_xboole_0(X1,X2))
| ~ v1_finset_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_153,plain,
( v1_finset_1(k3_xboole_0(X2,X1))
| ~ v1_finset_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_154,plain,
( m1_pboole(X1,X2)
| k1_relat_1(X1) != X2
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_155,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_156,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_157,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_158,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_159,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_160,plain,
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_161,negated_conjecture,
k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_162,plain,
m1_subset_1(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_163,plain,
m1_pboole(esk19_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_164,plain,
m1_pboole(esk16_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_165,plain,
m1_pboole(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_166,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_167,plain,
k3_xboole_0(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_168,plain,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_169,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_170,plain,
( v1_finset_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_171,plain,
( v1_fraenkel(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_172,negated_conjecture,
m1_pboole(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_173,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_174,plain,
v1_relat_1(esk19_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_175,plain,
v1_relat_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_176,plain,
v3_relat_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_177,plain,
v1_funct_1(esk19_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_178,plain,
v1_funct_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_179,plain,
v2_relat_1(esk19_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_180,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_181,plain,
~ v1_xboole_0(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_182,plain,
~ v1_xboole_0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_183,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_184,plain,
v2_funct_1(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_185,plain,
v2_funct_1(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_186,plain,
v1_relat_1(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_187,plain,
v1_relat_1(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_188,plain,
v1_relat_1(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_189,plain,
v1_relat_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_190,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_191,plain,
v1_relat_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_192,plain,
v1_relat_1(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_193,plain,
v3_relat_1(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_194,plain,
v3_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_195,plain,
v1_funct_1(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_196,plain,
v1_funct_1(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_197,plain,
v1_funct_1(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_198,plain,
v1_funct_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_199,plain,
v1_funct_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_200,plain,
v1_funct_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_201,plain,
v1_funct_1(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_202,plain,
v1_finset_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_203,plain,
v1_finset_1(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_204,plain,
v1_fraenkel(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_205,plain,
v2_relat_1(esk21_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_206,negated_conjecture,
v2_relat_1(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_207,negated_conjecture,
v2_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_208,plain,
v1_xboole_0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_209,plain,
v1_xboole_0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_210,plain,
v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_211,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_212,axiom,
X1 = X1 ).
cnf(i_0_213,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_214,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_215,axiom,
( X1 != X2
| k3_xboole_0(X1,X3) = k3_xboole_0(X2,X3) ) ).
cnf(i_0_216,axiom,
( X1 != X2
| k3_xboole_0(X3,X1) = k3_xboole_0(X3,X2) ) ).
cnf(i_0_217,axiom,
( X1 != X2
| k1_closure3(X1,X3) = k1_closure3(X2,X3) ) ).
cnf(i_0_218,axiom,
( X1 != X2
| k1_closure3(X3,X1) = k1_closure3(X3,X2) ) ).
cnf(i_0_219,axiom,
( X1 != X2
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) ) ).
cnf(i_0_220,axiom,
( X1 != X2
| k1_funct_1(X3,X1) = k1_funct_1(X3,X2) ) ).
cnf(i_0_221,axiom,
( X1 != X2
| esk9_3(X1,X3,X4) = esk9_3(X2,X3,X4) ) ).
cnf(i_0_222,axiom,
( X1 != X2
| esk9_3(X3,X1,X4) = esk9_3(X3,X2,X4) ) ).
cnf(i_0_223,axiom,
( X1 != X2
| esk9_3(X3,X4,X1) = esk9_3(X3,X4,X2) ) ).
cnf(i_0_224,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_225,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_226,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_227,axiom,
( X1 != X2
| a_2_0_closure3(X1,X3) = a_2_0_closure3(X2,X3) ) ).
cnf(i_0_228,axiom,
( X1 != X2
| a_2_0_closure3(X3,X1) = a_2_0_closure3(X3,X2) ) ).
cnf(i_0_229,axiom,
( X1 != X2
| k7_relat_1(X1,X3) = k7_relat_1(X2,X3) ) ).
cnf(i_0_230,axiom,
( X1 != X2
| k7_relat_1(X3,X1) = k7_relat_1(X3,X2) ) ).
cnf(i_0_231,axiom,
( X1 != X2
| k1_relat_1(X1) = k1_relat_1(X2) ) ).
cnf(i_0_232,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_233,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_234,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_235,axiom,
( X1 != X2
| ~ v1_finset_1(X1)
| v1_finset_1(X2) ) ).
cnf(i_0_236,axiom,
( X1 != X2
| ~ v2_funct_1(X1)
| v2_funct_1(X2) ) ).
cnf(i_0_237,axiom,
( X1 != X2
| ~ v1_fraenkel(X1)
| v1_fraenkel(X2) ) ).
cnf(i_0_238,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_239,axiom,
( X1 != X2
| ~ v2_relat_1(X1)
| v2_relat_1(X2) ) ).
cnf(i_0_240,axiom,
( X1 != X2
| ~ m1_pboole(X1,X3)
| m1_pboole(X2,X3) ) ).
cnf(i_0_241,axiom,
( X1 != X2
| ~ m1_pboole(X3,X1)
| m1_pboole(X3,X2) ) ).
cnf(i_0_242,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_243,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_244,axiom,
( X1 != X2
| ~ r6_pboole(X1,X3,X4)
| r6_pboole(X2,X3,X4) ) ).
cnf(i_0_245,axiom,
( X1 != X2
| ~ r6_pboole(X3,X1,X4)
| r6_pboole(X3,X2,X4) ) ).
cnf(i_0_246,axiom,
( X1 != X2
| ~ r6_pboole(X3,X4,X1)
| r6_pboole(X3,X4,X2) ) ).
cnf(i_0_247,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_248,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_249,axiom,
( X1 != X2
| ~ v1_pre_circ(X1,X3)
| v1_pre_circ(X2,X3) ) ).
cnf(i_0_250,axiom,
( X1 != X2
| ~ v1_pre_circ(X3,X1)
| v1_pre_circ(X3,X2) ) ).
cnf(i_0_2994,plain,
k3_xboole_0(k1_relat_1(esk2_0),X1) = k3_xboole_0(k3_xboole_0(esk1_0,esk1_0),X1),
inference(rename_variables,[],[i_0_2785]) ).
cnf(i_0_3174,plain,
k3_xboole_0(X1,k1_relat_1(esk2_0)) = k3_xboole_0(X1,k3_xboole_0(esk1_0,esk1_0)),
inference(rename_variables,[],[i_0_2786]) ).
cnf(i_0_3390,plain,
k3_xboole_0(k1_relat_1(esk2_0),X1) = k3_xboole_0(k3_xboole_0(esk1_0,esk1_0),X1),
inference(rename_variables,[],[i_0_2785]) ).
cnf(i_0_3392,plain,
k3_xboole_0(k1_relat_1(esk2_0),X1) = k3_xboole_0(k3_xboole_0(esk1_0,esk1_0),X1),
inference(rename_variables,[],[i_0_2785]) ).
cnf(i_0_1967,plain,
k3_xboole_0(X1,k3_xboole_0(X2,esk15_0)) = esk10_0,
inference(scs_inference,[],[i_0_1959,i_0_213]) ).
cnf(i_0_2917,plain,
v1_relat_1(esk6_1(k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_2866,i_0_2773,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158]) ).
cnf(i_0_2919,plain,
v1_funct_1(esk6_1(k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_2866,i_0_2773,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159]) ).
cnf(i_0_2921,plain,
k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)) = k1_xboole_0,
inference(scs_inference,[],[i_0_2866,i_0_2773,i_0_2839,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180]) ).
cnf(i_0_2923,plain,
~ v1_xboole_0(k3_xboole_0(esk1_0,esk1_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156]) ).
cnf(i_0_2925,plain,
k3_xboole_0(k1_relat_1(esk15_0),X1) = k3_xboole_0(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X1),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215]) ).
cnf(i_0_2926,plain,
k3_xboole_0(X1,k1_relat_1(esk15_0)) = k3_xboole_0(X1,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216]) ).
cnf(i_0_2927,plain,
k1_closure3(k1_relat_1(esk15_0),X1) = k1_closure3(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X1),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217]) ).
cnf(i_0_2928,plain,
k1_closure3(X1,k1_relat_1(esk15_0)) = k1_closure3(X1,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218]) ).
cnf(i_0_2929,plain,
k1_funct_1(k1_relat_1(esk15_0),X1) = k1_funct_1(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X1),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_2930,plain,
k1_funct_1(X1,k1_relat_1(esk15_0)) = k1_funct_1(X1,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220]) ).
cnf(i_0_2931,plain,
esk9_3(k1_relat_1(esk15_0),X1,X2) = esk9_3(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X1,X2),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221]) ).
cnf(i_0_2932,plain,
esk9_3(X1,k1_relat_1(esk15_0),X2) = esk9_3(X1,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X2),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_2933,plain,
esk9_3(X1,X2,k1_relat_1(esk15_0)) = esk9_3(X1,X2,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223]) ).
cnf(i_0_2934,plain,
esk8_3(k1_relat_1(esk15_0),X1,X2) = esk8_3(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X1,X2),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224]) ).
cnf(i_0_2935,plain,
esk8_3(X1,k1_relat_1(esk15_0),X2) = esk8_3(X1,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X2),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225]) ).
cnf(i_0_2936,plain,
esk8_3(X1,X2,k1_relat_1(esk15_0)) = esk8_3(X1,X2,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226]) ).
cnf(i_0_2939,plain,
k7_relat_1(k1_relat_1(esk15_0),X1) = k7_relat_1(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0)),X1),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_2940,plain,
k7_relat_1(X1,k1_relat_1(esk15_0)) = k7_relat_1(X1,k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230]) ).
cnf(i_0_2941,plain,
k1_relat_1(k1_relat_1(esk15_0)) = k1_relat_1(k1_relat_1(k3_xboole_0(esk15_0,k1_xboole_0))),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231]) ).
cnf(i_0_2942,plain,
esk16_1(k3_xboole_0(X1,k3_xboole_0(X2,k1_xboole_0))) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245]) ).
cnf(i_0_2948,plain,
esk6_1(k3_xboole_0(esk15_0,X1)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821]) ).
cnf(i_0_2949,plain,
esk16_1(k3_xboole_0(X1,k1_xboole_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852]) ).
cnf(i_0_2950,plain,
esk16_1(k3_xboole_0(X1,esk15_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941]) ).
cnf(i_0_2951,plain,
esk16_1(k3_xboole_0(esk15_0,X1)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962]) ).
cnf(i_0_2952,plain,
esk6_1(k3_xboole_0(X1,k1_xboole_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155]) ).
cnf(i_0_2953,plain,
esk6_1(k3_xboole_0(esk14_0,esk14_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706]) ).
cnf(i_0_2954,plain,
esk16_1(k3_xboole_0(esk14_0,esk14_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744]) ).
cnf(i_0_2955,plain,
esk16_1(k3_xboole_0(esk10_0,esk10_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783]) ).
cnf(i_0_2956,plain,
esk6_1(k3_xboole_0(esk10_0,esk10_0)) != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083]) ).
cnf(i_0_2957,plain,
esk3_0 != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321]) ).
cnf(i_0_2958,plain,
esk2_0 != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377]) ).
cnf(i_0_2959,plain,
esk21_0 != k3_xboole_0(esk16_1(esk11_0),esk16_1(esk11_0)),
inference(scs_inference,[],[i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429]) ).
cnf(i_0_2960,plain,
~ r2_hidden(esk1_0,esk22_2(esk1_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_2849,i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143]) ).
cnf(i_0_2962,plain,
esk2_0 != esk20_0,
inference(scs_inference,[],[i_0_410,i_0_2849,i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213]) ).
cnf(i_0_2963,plain,
v1_xboole_0(k1_funct_1(esk16_1(esk17_0),esk4_2(esk17_0,esk16_1(esk17_0)))),
inference(scs_inference,[],[i_0_410,i_0_2566,i_0_2849,i_0_2862,i_0_2866,i_0_2773,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_164,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126]) ).
cnf(i_0_2966,plain,
v1_funct_1(k7_relat_1(k7_relat_1(k7_relat_1(esk2_0,X1),X2),X3)),
inference(scs_inference,[],[i_0_410,i_0_2566,i_0_2849,i_0_2862,i_0_2866,i_0_2773,i_0_2828,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_164,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145]) ).
cnf(i_0_2975,plain,
v1_pre_circ(k3_xboole_0(esk20_0,esk20_0),k3_xboole_0(k1_relat_1(esk20_0),k1_relat_1(esk20_0))),
inference(scs_inference,[],[i_0_410,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2773,i_0_2828,i_0_2839,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_164,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250]) ).
cnf(i_0_2980,plain,
r2_hidden(esk4_2(esk17_0,esk16_1(esk17_0)),esk17_0),
inference(scs_inference,[],[i_0_410,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2293,i_0_192,i_0_162,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_164,i_0_2964,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136]) ).
cnf(i_0_2984,plain,
k3_xboole_0(X1,k3_xboole_0(X2,esk14_0)) != esk1_0,
inference(rename_variables,[],[i_0_2870]) ).
cnf(i_0_2987,plain,
r6_pboole(k1_relat_1(esk13_0),k3_xboole_0(esk13_0,esk13_0),esk13_0),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2293,i_0_1732,i_0_192,i_0_162,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_164,i_0_2964,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245]) ).
cnf(i_0_2989,plain,
~ v1_xboole_0(k3_xboole_0(k1_relat_1(esk2_0),k3_xboole_0(esk1_0,esk1_0))),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2293,i_0_1732,i_0_192,i_0_162,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_164,i_0_2964,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238]) ).
cnf(i_0_2991,plain,
r6_pboole(k3_xboole_0(k1_relat_1(esk13_0),k1_relat_1(esk13_0)),esk13_0,esk13_0),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2293,i_0_1732,i_0_192,i_0_162,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_2988,i_0_164,i_0_2964,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238,i_0_244]) ).
cnf(i_0_2995,plain,
r6_pboole(k1_relat_1(esk13_0),esk13_0,k3_xboole_0(esk13_0,esk13_0)),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2990,i_0_2437,i_0_2293,i_0_1732,i_0_192,i_0_162,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_2988,i_0_2992,i_0_164,i_0_2964,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238,i_0_244,i_0_232,i_0_246]) ).
cnf(i_0_2997,plain,
~ v3_relat_1(k3_xboole_0(k3_xboole_0(esk2_0,esk2_0),k3_xboole_0(esk2_0,esk2_0))),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2860,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2990,i_0_2437,i_0_2293,i_0_1732,i_0_192,i_0_162,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_2988,i_0_2992,i_0_164,i_0_2964,i_0_167,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238,i_0_244,i_0_232,i_0_246,i_0_234]) ).
cnf(i_0_2999,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk11_0),esk4_2(k1_relat_1(esk16_1(esk11_0)),esk16_1(esk11_0)))),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2860,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2990,i_0_2437,i_0_2887,i_0_2293,i_0_1732,i_0_192,i_0_162,i_0_437,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_2988,i_0_2992,i_0_164,i_0_2964,i_0_167,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238,i_0_244,i_0_232,i_0_246,i_0_234,i_0_233]) ).
cnf(i_0_3008,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k3_xboole_0(k1_relat_1(esk2_0),X1)),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2860,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2990,i_0_2653,i_0_2437,i_0_2864,i_0_2887,i_0_2293,i_0_1732,i_0_2699,i_0_2647,i_0_192,i_0_162,i_0_198,i_0_189,i_0_437,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_2988,i_0_2992,i_0_2996,i_0_3001,i_0_3003,i_0_164,i_0_2964,i_0_167,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238,i_0_244,i_0_232,i_0_246,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154]) ).
cnf(i_0_3012,plain,
k3_xboole_0(k3_xboole_0(k3_xboole_0(esk10_0,X1),X2),X3) != k3_xboole_0(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_410,i_0_502,i_0_2860,i_0_2710,i_0_2566,i_0_2849,i_0_2862,i_0_2833,i_0_2866,i_0_2808,i_0_2773,i_0_2828,i_0_2839,i_0_2574,i_0_2868,i_0_2734,i_0_2870,i_0_2785,i_0_2990,i_0_2653,i_0_2437,i_0_2864,i_0_2887,i_0_2293,i_0_1732,i_0_2985,i_0_2699,i_0_2647,i_0_192,i_0_162,i_0_198,i_0_189,i_0_437,i_0_2190,i_0_2970,i_0_2972,i_0_2974,i_0_2976,i_0_2988,i_0_2992,i_0_2996,i_0_3001,i_0_3003,i_0_164,i_0_2964,i_0_167,i_0_151,i_0_152,i_0_142,i_0_153,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_1245,i_0_884,i_0_913,i_0_1036,i_0_481,i_0_523,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429,i_0_143,i_0_213,i_0_126,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_136,i_0_134,i_0_245,i_0_238,i_0_244,i_0_232,i_0_246,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133]) ).
cnf(i_0_3023,plain,
v1_relat_1(k7_relat_1(esk6_1(k1_relat_1(esk2_0)),X1)),
inference(scs_inference,[],[i_0_2917,i_0_151]) ).
cnf(i_0_3025,plain,
v1_finset_1(k3_xboole_0(k3_xboole_0(esk11_0,esk11_0),X1)),
inference(scs_inference,[],[i_0_2917,i_0_2228,i_0_151,i_0_152]) ).
cnf(i_0_3027,plain,
v1_finset_1(k3_xboole_0(X1,k3_xboole_0(esk11_0,esk11_0))),
inference(scs_inference,[],[i_0_2917,i_0_2228,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_3029,plain,
k1_relat_1(k7_relat_1(esk12_0,X1)) = k3_xboole_0(k1_relat_1(esk12_0),X1),
inference(scs_inference,[],[i_0_2917,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142]) ).
cnf(i_0_3031,plain,
v1_relat_1(k3_xboole_0(esk6_1(k1_relat_1(esk2_0)),esk6_1(k1_relat_1(esk2_0)))),
inference(scs_inference,[],[i_0_2917,i_0_3000,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158]) ).
cnf(i_0_3033,plain,
v1_funct_1(k3_xboole_0(esk6_1(k1_relat_1(esk2_0)),esk6_1(k1_relat_1(esk2_0)))),
inference(scs_inference,[],[i_0_2917,i_0_3000,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159]) ).
cnf(i_0_3035,plain,
k1_funct_1(esk16_1(esk17_0),esk4_2(esk17_0,esk16_1(esk17_0))) = k1_xboole_0,
inference(scs_inference,[],[i_0_2917,i_0_2963,i_0_3000,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180]) ).
cnf(i_0_3037,plain,
~ v1_xboole_0(k1_relat_1(esk16_1(esk11_0))),
inference(scs_inference,[],[i_0_2917,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156]) ).
cnf(i_0_3039,plain,
k3_xboole_0(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3) = k3_xboole_0(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215]) ).
cnf(i_0_3040,plain,
k3_xboole_0(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3))) = k3_xboole_0(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216]) ).
cnf(i_0_3041,plain,
k1_closure3(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3) = k1_closure3(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217]) ).
cnf(i_0_3042,plain,
k1_closure3(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3))) = k1_closure3(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218]) ).
cnf(i_0_3043,plain,
k1_funct_1(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3) = k1_funct_1(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_3044,plain,
k1_funct_1(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3))) = k1_funct_1(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220]) ).
cnf(i_0_3045,plain,
esk9_3(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3,X4) = esk9_3(k1_xboole_0,X3,X4),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221]) ).
cnf(i_0_3046,plain,
esk9_3(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3)),X4) = esk9_3(X1,k1_xboole_0,X4),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_3047,plain,
esk9_3(X1,X2,k3_xboole_0(X3,k3_xboole_0(esk10_0,X4))) = esk9_3(X1,X2,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223]) ).
cnf(i_0_3048,plain,
esk8_3(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3,X4) = esk8_3(k1_xboole_0,X3,X4),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224]) ).
cnf(i_0_3049,plain,
esk8_3(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3)),X4) = esk8_3(X1,k1_xboole_0,X4),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225]) ).
cnf(i_0_3050,plain,
esk8_3(X1,X2,k3_xboole_0(X3,k3_xboole_0(esk10_0,X4))) = esk8_3(X1,X2,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226]) ).
cnf(i_0_3051,plain,
a_2_0_closure3(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3) = a_2_0_closure3(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227]) ).
cnf(i_0_3052,plain,
a_2_0_closure3(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3))) = a_2_0_closure3(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228]) ).
cnf(i_0_3053,plain,
k7_relat_1(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3) = k7_relat_1(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_3054,plain,
k7_relat_1(X1,k3_xboole_0(X2,k3_xboole_0(esk10_0,X3))) = k7_relat_1(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230]) ).
cnf(i_0_3055,plain,
k1_relat_1(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2))) = k1_relat_1(k1_xboole_0),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231]) ).
cnf(i_0_3056,plain,
~ r2_hidden(esk17_0,esk4_2(esk17_0,esk16_1(esk17_0))),
inference(scs_inference,[],[i_0_2917,i_0_2921,i_0_2980,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143]) ).
cnf(i_0_3058,plain,
esk2_0 != esk13_0,
inference(scs_inference,[],[i_0_603,i_0_2917,i_0_2921,i_0_2980,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213]) ).
cnf(i_0_3059,plain,
v1_funct_1(k7_relat_1(esk6_1(k1_relat_1(esk2_0)),X1)),
inference(scs_inference,[],[i_0_603,i_0_2917,i_0_2919,i_0_2921,i_0_2980,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145]) ).
cnf(i_0_3061,plain,
k1_closure3(esk1_0,esk6_1(esk1_0)) = a_2_0_closure3(esk1_0,esk6_1(esk1_0)),
inference(scs_inference,[],[i_0_603,i_0_2917,i_0_2919,i_0_2921,i_0_2980,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_165,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256]) ).
cnf(i_0_3064,plain,
a_2_0_closure3(esk1_0,esk6_1(esk1_0)) = k1_closure3(esk1_0,esk6_1(esk1_0)),
inference(scs_inference,[],[i_0_603,i_0_2917,i_0_2919,i_0_2921,i_0_2980,i_0_2963,i_0_3000,i_0_2843,i_0_2228,i_0_191,i_0_165,i_0_3062,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257]) ).
cnf(i_0_3073,plain,
v1_pre_circ(k3_xboole_0(esk16_1(k3_xboole_0(X1,esk10_0)),esk16_1(k3_xboole_0(X1,esk10_0))),esk15_0),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_2835,i_0_2917,i_0_2919,i_0_2921,i_0_2980,i_0_2709,i_0_2963,i_0_3000,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_191,i_0_162,i_0_165,i_0_3062,i_0_2190,i_0_3068,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250]) ).
cnf(i_0_3078,plain,
k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)) = k1_xboole_0,
inference(rename_variables,[],[i_0_2921]) ).
cnf(i_0_3079,plain,
~ v1_xboole_0(k3_xboole_0(k1_relat_1(esk16_1(esk17_0)),k1_relat_1(esk16_1(esk17_0)))),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_2923,i_0_2835,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_2980,i_0_2709,i_0_2963,i_0_2969,i_0_3000,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_191,i_0_162,i_0_165,i_0_3062,i_0_2190,i_0_3068,i_0_167,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238]) ).
cnf(i_0_3083,plain,
k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)) = k1_xboole_0,
inference(rename_variables,[],[i_0_2921]) ).
cnf(i_0_3091,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k3_xboole_0(k1_relat_1(esk2_0),X1)),
inference(rename_variables,[],[i_0_3008]) ).
cnf(i_0_3102,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk11_0),esk4_2(k1_relat_1(esk16_1(esk11_0)),esk16_1(esk11_0)))),
inference(rename_variables,[],[i_0_2999]) ).
cnf(i_0_3279,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k3_xboole_0(k1_relat_1(esk2_0),X1)),
inference(rename_variables,[],[i_0_3008]) ).
cnf(i_0_3084,plain,
r2_hidden(k3_xboole_0(esk4_2(esk17_0,esk16_1(esk17_0)),esk4_2(esk17_0,esk16_1(esk17_0))),esk17_0),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_907,i_0_2923,i_0_2835,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_2963,i_0_2969,i_0_3000,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_191,i_0_162,i_0_165,i_0_3062,i_0_2190,i_0_3068,i_0_3072,i_0_167,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232]) ).
cnf(i_0_3086,plain,
~ v3_relat_1(k3_xboole_0(esk19_1(esk1_0),esk19_1(esk1_0))),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_907,i_0_2923,i_0_2835,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_2963,i_0_2969,i_0_3000,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_191,i_0_162,i_0_419,i_0_165,i_0_3062,i_0_2190,i_0_3068,i_0_3072,i_0_167,i_0_3080,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234]) ).
cnf(i_0_3088,plain,
r2_hidden(esk4_2(esk17_0,esk16_1(esk17_0)),k3_xboole_0(esk17_0,esk17_0)),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_907,i_0_2923,i_0_2835,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_2963,i_0_2969,i_0_3000,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_191,i_0_162,i_0_419,i_0_165,i_0_3062,i_0_2190,i_0_3068,i_0_3072,i_0_3085,i_0_167,i_0_3080,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233]) ).
cnf(i_0_3094,plain,
k3_xboole_0(esk13_0,esk13_0) != esk2_0,
inference(scs_inference,[],[i_0_139,i_0_603,i_0_907,i_0_2923,i_0_2835,i_0_3008,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_2963,i_0_2969,i_0_3000,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_191,i_0_162,i_0_419,i_0_165,i_0_3062,i_0_3065,i_0_2190,i_0_3068,i_0_3072,i_0_3085,i_0_3089,i_0_167,i_0_3080,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214]) ).
cnf(i_0_3098,plain,
m1_pboole(esk14_0,k3_xboole_0(k1_relat_1(esk14_0),k1_relat_1(esk14_0))),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_907,i_0_2923,i_0_2835,i_0_3008,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_3002,i_0_2963,i_0_2969,i_0_3000,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_1920,i_0_191,i_0_162,i_0_419,i_0_264,i_0_165,i_0_3062,i_0_3065,i_0_2190,i_0_3068,i_0_3072,i_0_3085,i_0_3089,i_0_3095,i_0_167,i_0_3080,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154]) ).
cnf(i_0_3104,plain,
esk3_0 != esk2_0,
inference(scs_inference,[],[i_0_139,i_0_603,i_0_2753,i_0_907,i_0_2923,i_0_2835,i_0_3008,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_3002,i_0_2963,i_0_2969,i_0_3000,i_0_2999,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_1920,i_0_191,i_0_162,i_0_419,i_0_264,i_0_165,i_0_3062,i_0_3065,i_0_2190,i_0_3068,i_0_3072,i_0_3085,i_0_3089,i_0_3095,i_0_173,i_0_172,i_0_167,i_0_3080,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_129]) ).
cnf(i_0_3106,plain,
r2_hidden(k3_xboole_0(esk7_1(k1_relat_1(esk2_0)),esk7_1(k1_relat_1(esk2_0))),esk1_0),
inference(scs_inference,[],[i_0_139,i_0_603,i_0_2753,i_0_907,i_0_2923,i_0_2835,i_0_3008,i_0_2682,i_0_2917,i_0_2919,i_0_2921,i_0_3078,i_0_2980,i_0_2709,i_0_3002,i_0_2963,i_0_2969,i_0_3000,i_0_2999,i_0_3006,i_0_2448,i_0_2843,i_0_2121,i_0_2228,i_0_2519,i_0_1920,i_0_191,i_0_162,i_0_419,i_0_264,i_0_165,i_0_3062,i_0_3065,i_0_2190,i_0_3068,i_0_3072,i_0_3085,i_0_3089,i_0_3095,i_0_173,i_0_172,i_0_167,i_0_3080,i_0_183,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_156,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_129,i_0_259]) ).
cnf(i_0_3114,plain,
v1_finset_1(k3_xboole_0(k3_xboole_0(k3_xboole_0(esk11_0,esk11_0),X1),X2)),
inference(scs_inference,[],[i_0_3025,i_0_2315,i_0_151,i_0_152]) ).
cnf(i_0_3116,plain,
v1_finset_1(k3_xboole_0(X1,k3_xboole_0(k3_xboole_0(esk11_0,esk11_0),X2))),
inference(scs_inference,[],[i_0_3025,i_0_2315,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_3118,plain,
k1_relat_1(k7_relat_1(esk13_0,X1)) = k3_xboole_0(k1_relat_1(esk13_0),X1),
inference(scs_inference,[],[i_0_3025,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142]) ).
cnf(i_0_3167,plain,
k3_xboole_0(k3_xboole_0(X1,k3_xboole_0(esk10_0,X2)),X3) = k3_xboole_0(k1_xboole_0,X3),
inference(rename_variables,[],[i_0_3039]) ).
cnf(i_0_3120,plain,
v1_relat_1(k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0))),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158]) ).
cnf(i_0_3122,plain,
v1_funct_1(k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0))),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159]) ).
cnf(i_0_3124,plain,
k3_xboole_0(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = k3_xboole_0(esk15_0,X2),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215]) ).
cnf(i_0_3125,plain,
k3_xboole_0(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2)) = k3_xboole_0(X1,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216]) ).
cnf(i_0_3126,plain,
k1_closure3(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = k1_closure3(esk15_0,X2),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217]) ).
cnf(i_0_3127,plain,
k1_closure3(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2)) = k1_closure3(X1,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218]) ).
cnf(i_0_3128,plain,
k1_funct_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = k1_funct_1(esk15_0,X2),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_3129,plain,
k1_funct_1(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2)) = k1_funct_1(X1,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220]) ).
cnf(i_0_3130,plain,
esk9_3(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2,X3) = esk9_3(esk15_0,X2,X3),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221]) ).
cnf(i_0_3131,plain,
esk9_3(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2),X3) = esk9_3(X1,esk15_0,X3),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_3132,plain,
esk9_3(X1,X2,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X3)) = esk9_3(X1,X2,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223]) ).
cnf(i_0_3133,plain,
esk8_3(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2,X3) = esk8_3(esk15_0,X2,X3),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224]) ).
cnf(i_0_3134,plain,
esk8_3(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2),X3) = esk8_3(X1,esk15_0,X3),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225]) ).
cnf(i_0_3135,plain,
esk8_3(X1,X2,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X3)) = esk8_3(X1,X2,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226]) ).
cnf(i_0_3136,plain,
a_2_0_closure3(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = a_2_0_closure3(esk15_0,X2),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227]) ).
cnf(i_0_3137,plain,
a_2_0_closure3(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2)) = a_2_0_closure3(X1,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228]) ).
cnf(i_0_3138,plain,
k7_relat_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = k7_relat_1(esk15_0,X2),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_3139,plain,
k7_relat_1(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2)) = k7_relat_1(X1,esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230]) ).
cnf(i_0_3140,plain,
k1_relat_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1)) = k1_relat_1(esk15_0),
inference(scs_inference,[],[i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231]) ).
cnf(i_0_3141,plain,
~ r2_hidden(k3_xboole_0(esk17_0,esk17_0),esk4_2(esk17_0,esk16_1(esk17_0))),
inference(scs_inference,[],[i_0_3088,i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143]) ).
cnf(i_0_3143,plain,
esk19_1(esk1_0) != esk13_0,
inference(scs_inference,[],[i_0_461,i_0_3088,i_0_3025,i_0_3090,i_0_1608,i_0_2315,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213]) ).
cnf(i_0_3144,plain,
v1_funct_1(k7_relat_1(k3_xboole_0(k3_xboole_0(esk12_0,esk12_0),k3_xboole_0(esk12_0,esk12_0)),X1)),
inference(scs_inference,[],[i_0_461,i_0_3088,i_0_3025,i_0_2348,i_0_3090,i_0_1608,i_0_2315,i_0_2333,i_0_190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145]) ).
cnf(i_0_3160,plain,
v1_xboole_0(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2)),
inference(scs_inference,[],[i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_3025,i_0_2348,i_0_3037,i_0_2971,i_0_3090,i_0_1608,i_0_2315,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148]) ).
cnf(i_0_3164,plain,
r6_pboole(k1_relat_1(esk20_0),k3_xboole_0(esk20_0,esk20_0),esk20_0),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_3025,i_0_2348,i_0_3037,i_0_2971,i_0_3090,i_0_1608,i_0_2315,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245]) ).
cnf(i_0_3166,plain,
v1_xboole_0(k3_xboole_0(k1_xboole_0,X1)),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_3025,i_0_2348,i_0_3037,i_0_2971,i_0_3090,i_0_3039,i_0_2714,i_0_1608,i_0_2315,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238]) ).
cnf(i_0_3169,plain,
r6_pboole(k3_xboole_0(k1_relat_1(esk20_0),k1_relat_1(esk20_0)),esk20_0,esk20_0),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_3025,i_0_2348,i_0_3037,i_0_2971,i_0_3090,i_0_3039,i_0_2714,i_0_1608,i_0_2315,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244]) ).
cnf(i_0_3171,plain,
r6_pboole(k1_relat_1(esk20_0),esk20_0,k3_xboole_0(esk20_0,esk20_0)),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_3025,i_0_2348,i_0_3037,i_0_2971,i_0_3090,i_0_3039,i_0_2714,i_0_1608,i_0_2315,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246]) ).
cnf(i_0_3177,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk17_0),esk4_2(esk17_0,esk16_1(esk17_0)))),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_2726,i_0_3025,i_0_2348,i_0_3037,i_0_2786,i_0_2971,i_0_3090,i_0_3039,i_0_3035,i_0_2439,i_0_2714,i_0_1608,i_0_2315,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_437,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233]) ).
cnf(i_0_3178,plain,
m1_pboole(esk10_0,k3_xboole_0(k1_relat_1(esk14_0),k1_relat_1(esk14_0))),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_2726,i_0_3025,i_0_2348,i_0_3037,i_0_3098,i_0_2786,i_0_2971,i_0_3090,i_0_3039,i_0_3035,i_0_2439,i_0_2714,i_0_1608,i_0_2315,i_0_1928,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_162,i_0_437,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240]) ).
cnf(i_0_3186,plain,
k1_relat_1(esk16_1(k3_xboole_0(esk15_0,X1))) != k3_xboole_0(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_2726,i_0_3025,i_0_2348,i_0_3037,i_0_3098,i_0_2485,i_0_2486,i_0_2786,i_0_2971,i_0_3090,i_0_3039,i_0_3035,i_0_2439,i_0_2714,i_0_1608,i_0_2315,i_0_816,i_0_1928,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_178,i_0_162,i_0_175,i_0_437,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_3172,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154]) ).
cnf(i_0_3193,plain,
k3_xboole_0(k3_xboole_0(X1,esk10_0),X2) = k1_xboole_0,
inference(scs_inference,[],[i_0_591,i_0_461,i_0_2521,i_0_3088,i_0_2973,i_0_2726,i_0_3025,i_0_2348,i_0_3037,i_0_3098,i_0_2485,i_0_2486,i_0_2786,i_0_2971,i_0_3090,i_0_3039,i_0_3035,i_0_2439,i_0_2714,i_0_1608,i_0_2315,i_0_816,i_0_1928,i_0_1734,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_178,i_0_162,i_0_175,i_0_437,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_3172,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_180]) ).
cnf(i_0_3197,plain,
~ r2_hidden(esk17_0,k3_xboole_0(esk7_1(esk17_0),a_2_0_closure3(esk1_0,esk3_0))),
inference(scs_inference,[],[i_0_2880,i_0_591,i_0_461,i_0_2594,i_0_2521,i_0_3088,i_0_2973,i_0_2726,i_0_3025,i_0_2348,i_0_3037,i_0_3098,i_0_2484,i_0_2485,i_0_2486,i_0_2786,i_0_2971,i_0_3090,i_0_3039,i_0_3035,i_0_2439,i_0_2714,i_0_1608,i_0_2315,i_0_816,i_0_1928,i_0_1734,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_178,i_0_162,i_0_175,i_0_437,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_3172,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_180,i_0_124,i_0_140]) ).
cnf(i_0_3200,plain,
~ r2_hidden(esk17_0,k3_xboole_0(a_2_0_closure3(esk1_0,esk3_0),esk7_1(esk17_0))),
inference(scs_inference,[],[i_0_2880,i_0_591,i_0_461,i_0_2594,i_0_2521,i_0_3088,i_0_2973,i_0_2726,i_0_3025,i_0_2348,i_0_3037,i_0_3098,i_0_2483,i_0_2484,i_0_2485,i_0_2486,i_0_2786,i_0_2971,i_0_3090,i_0_3039,i_0_3035,i_0_2439,i_0_2714,i_0_1608,i_0_2315,i_0_816,i_0_1928,i_0_1734,i_0_2333,i_0_1541,i_0_190,i_0_686,i_0_3147,i_0_178,i_0_162,i_0_175,i_0_437,i_0_2190,i_0_3153,i_0_3155,i_0_3157,i_0_3159,i_0_3165,i_0_3170,i_0_3172,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_256,i_0_257,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_234,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_180,i_0_124,i_0_140,i_0_141]) ).
cnf(i_0_3287,plain,
v1_finset_1(k3_xboole_0(k3_xboole_0(k3_xboole_0(esk11_0,esk11_0),X1),X2)),
inference(rename_variables,[],[i_0_3114]) ).
cnf(i_0_3206,plain,
v1_relat_1(k7_relat_1(k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0)),X1)),
inference(scs_inference,[],[i_0_3120,i_0_151]) ).
cnf(i_0_3208,plain,
v1_finset_1(k3_xboole_0(k3_xboole_0(X1,k3_xboole_0(esk11_0,esk11_0)),X2)),
inference(scs_inference,[],[i_0_3027,i_0_3120,i_0_151,i_0_152]) ).
cnf(i_0_3210,plain,
v1_finset_1(k3_xboole_0(X1,k3_xboole_0(X2,k3_xboole_0(esk11_0,esk11_0)))),
inference(scs_inference,[],[i_0_3027,i_0_3120,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_3212,plain,
k1_relat_1(k7_relat_1(esk15_0,X1)) = k3_xboole_0(k1_relat_1(esk15_0),X1),
inference(scs_inference,[],[i_0_3027,i_0_3120,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142]) ).
cnf(i_0_3214,plain,
v1_relat_1(esk6_1(k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)))),
inference(scs_inference,[],[i_0_3027,i_0_3120,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158]) ).
cnf(i_0_3216,plain,
v1_funct_1(esk6_1(k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)))),
inference(scs_inference,[],[i_0_3027,i_0_3120,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159]) ).
cnf(i_0_3218,plain,
k3_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180]) ).
cnf(i_0_3220,plain,
k3_xboole_0(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3) = k3_xboole_0(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215]) ).
cnf(i_0_3221,plain,
k3_xboole_0(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3)) = k3_xboole_0(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216]) ).
cnf(i_0_3222,plain,
k1_closure3(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3) = k1_closure3(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217]) ).
cnf(i_0_3223,plain,
k1_closure3(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3)) = k1_closure3(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218]) ).
cnf(i_0_3224,plain,
k1_funct_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3) = k1_funct_1(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_3225,plain,
k1_funct_1(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3)) = k1_funct_1(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220]) ).
cnf(i_0_3226,plain,
esk9_3(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3,X4) = esk9_3(k1_xboole_0,X3,X4),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221]) ).
cnf(i_0_3227,plain,
esk9_3(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3),X4) = esk9_3(X1,k1_xboole_0,X4),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_3228,plain,
esk9_3(X1,X2,k3_xboole_0(k3_xboole_0(X3,esk10_0),X4)) = esk9_3(X1,X2,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223]) ).
cnf(i_0_3229,plain,
esk8_3(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3,X4) = esk8_3(k1_xboole_0,X3,X4),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224]) ).
cnf(i_0_3230,plain,
esk8_3(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3),X4) = esk8_3(X1,k1_xboole_0,X4),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225]) ).
cnf(i_0_3231,plain,
esk8_3(X1,X2,k3_xboole_0(k3_xboole_0(X3,esk10_0),X4)) = esk8_3(X1,X2,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226]) ).
cnf(i_0_3232,plain,
a_2_0_closure3(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3) = a_2_0_closure3(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227]) ).
cnf(i_0_3233,plain,
a_2_0_closure3(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3)) = a_2_0_closure3(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228]) ).
cnf(i_0_3234,plain,
k7_relat_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2),X3) = k7_relat_1(k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_3235,plain,
k7_relat_1(X1,k3_xboole_0(k3_xboole_0(X2,esk10_0),X3)) = k7_relat_1(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230]) ).
cnf(i_0_3236,plain,
k1_relat_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2)) = k1_relat_1(k1_xboole_0),
inference(scs_inference,[],[i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231]) ).
cnf(i_0_3239,plain,
esk19_1(esk1_0) != esk20_0,
inference(scs_inference,[],[i_0_654,i_0_3166,i_0_3027,i_0_3120,i_0_3193,i_0_3092,i_0_2977,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213]) ).
cnf(i_0_3240,plain,
v1_funct_1(k7_relat_1(k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0)),X1)),
inference(scs_inference,[],[i_0_654,i_0_3166,i_0_3027,i_0_3120,i_0_3122,i_0_3193,i_0_3092,i_0_2977,i_0_189,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145]) ).
cnf(i_0_3244,plain,
m1_subset_1(esk7_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2)),k1_xboole_0),
inference(scs_inference,[],[i_0_654,i_0_3166,i_0_3027,i_0_3120,i_0_3122,i_0_3193,i_0_3092,i_0_2473,i_0_2977,i_0_189,i_0_162,i_0_2190,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243]) ).
cnf(i_0_3250,plain,
v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(X2,esk10_0))),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_3166,i_0_3071,i_0_3027,i_0_3120,i_0_3122,i_0_3193,i_0_3092,i_0_2473,i_0_2977,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_2190,i_0_3243,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148]) ).
cnf(i_0_3256,plain,
r6_pboole(k3_xboole_0(k1_relat_1(esk14_0),k1_relat_1(esk14_0)),esk10_0,esk10_0),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_3166,i_0_3071,i_0_3027,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_3092,i_0_2473,i_0_2977,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_2190,i_0_3243,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131]) ).
cnf(i_0_3261,plain,
r6_pboole(k1_relat_1(k3_xboole_0(esk15_0,k3_xboole_0(esk10_0,esk10_0))),esk15_0,k1_xboole_0),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_3166,i_0_3071,i_0_3027,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_3092,i_0_3082,i_0_2473,i_0_2977,i_0_1673,i_0_1029,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_2190,i_0_3243,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245]) ).
cnf(i_0_3266,plain,
k1_relat_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1)) = k1_relat_1(esk15_0),
inference(rename_variables,[],[i_0_3140]) ).
cnf(i_0_3268,plain,
r6_pboole(k1_relat_1(k3_xboole_0(esk15_0,k3_xboole_0(esk10_0,esk10_0))),k1_xboole_0,esk15_0),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_3140,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_1673,i_0_3262,i_0_1029,i_0_540,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_2190,i_0_3243,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246]) ).
cnf(i_0_3274,plain,
v1_fraenkel(k3_xboole_0(esk14_0,X1)),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_2619,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_3140,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_1029,i_0_540,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237]) ).
cnf(i_0_3280,plain,
m1_pboole(esk6_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2)),k1_xboole_0),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_2619,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3140,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241]) ).
cnf(i_0_3282,plain,
v2_funct_1(k3_xboole_0(esk14_0,X1)),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3140,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_3275,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236]) ).
cnf(i_0_3285,plain,
v1_finset_1(k3_xboole_0(esk14_0,X1)),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3140,i_0_3114,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235]) ).
cnf(i_0_3288,plain,
v1_funct_1(k7_relat_1(esk15_0,X1)),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3140,i_0_3114,i_0_2523,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248]) ).
cnf(i_0_3289,plain,
k7_relat_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = k7_relat_1(esk15_0,X2),
inference(rename_variables,[],[i_0_3138]) ).
cnf(i_0_3292,plain,
k7_relat_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1),X2) = k7_relat_1(esk15_0,X2),
inference(rename_variables,[],[i_0_3138]) ).
cnf(i_0_3301,plain,
k1_relat_1(k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X1)) = k1_relat_1(esk15_0),
inference(rename_variables,[],[i_0_3140]) ).
cnf(i_0_3304,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk17_0),esk4_2(esk17_0,esk16_1(esk17_0)))),
inference(rename_variables,[],[i_0_3177]) ).
cnf(i_0_3383,plain,
k3_xboole_0(X1,k3_xboole_0(k3_xboole_0(esk14_0,esk14_0),X2)) = k3_xboole_0(X1,esk15_0),
inference(rename_variables,[],[i_0_3125]) ).
cnf(i_0_3291,plain,
v1_relat_1(k7_relat_1(esk15_0,X1)),
inference(scs_inference,[],[i_0_139,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3114,i_0_2504,i_0_2523,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247]) ).
cnf(i_0_3294,plain,
k3_xboole_0(esk3_0,esk3_0) != esk2_0,
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3114,i_0_2504,i_0_2523,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_1543,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214]) ).
cnf(i_0_3296,plain,
k1_relat_1(esk10_0) = k3_xboole_0(k1_relat_1(esk14_0),k1_relat_1(esk14_0)),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3114,i_0_2504,i_0_2523,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_1673,i_0_3262,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147]) ).
cnf(i_0_3303,plain,
k1_funct_1(esk16_1(esk17_0),esk4_2(esk17_0,esk16_1(esk17_0))) != k3_xboole_0(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_3027,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3266,i_0_3114,i_0_2504,i_0_2523,i_0_3177,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_2630,i_0_1673,i_0_3262,i_0_2380,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_167,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147,i_0_154,i_0_133]) ).
cnf(i_0_3318,plain,
~ v2_relat_1(esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k3_xboole_0(esk1_0,esk1_0)))),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_2997,i_0_3027,i_0_2989,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3266,i_0_3114,i_0_2504,i_0_2523,i_0_3177,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_2630,i_0_1673,i_0_3262,i_0_2380,i_0_2324,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_164,i_0_176,i_0_635,i_0_167,i_0_3264,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147,i_0_154,i_0_133,i_0_1869,i_0_258,i_0_259,i_0_126,i_0_234,i_0_118,i_0_150]) ).
cnf(i_0_3322,plain,
esk6_1(k3_xboole_0(esk15_0,X1)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k3_xboole_0(esk1_0,esk1_0))),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_2997,i_0_3027,i_0_2989,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3266,i_0_3114,i_0_2504,i_0_2523,i_0_3177,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_2630,i_0_1673,i_0_3262,i_0_2380,i_0_2324,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_164,i_0_176,i_0_635,i_0_167,i_0_3264,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147,i_0_154,i_0_133,i_0_1869,i_0_258,i_0_259,i_0_126,i_0_234,i_0_118,i_0_150,i_0_821]) ).
cnf(i_0_3331,plain,
esk3_0 != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k3_xboole_0(esk1_0,esk1_0))),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_2997,i_0_3027,i_0_2989,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3266,i_0_3114,i_0_2504,i_0_2523,i_0_3177,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_2630,i_0_1673,i_0_3262,i_0_2380,i_0_2324,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_164,i_0_176,i_0_635,i_0_167,i_0_3264,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147,i_0_154,i_0_133,i_0_1869,i_0_258,i_0_259,i_0_126,i_0_234,i_0_118,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321]) ).
cnf(i_0_3332,plain,
esk2_0 != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k3_xboole_0(esk1_0,esk1_0))),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_2997,i_0_3027,i_0_2989,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3266,i_0_3114,i_0_2504,i_0_2523,i_0_3177,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_2630,i_0_1673,i_0_3262,i_0_2380,i_0_2324,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_164,i_0_176,i_0_635,i_0_167,i_0_3264,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147,i_0_154,i_0_133,i_0_1869,i_0_258,i_0_259,i_0_126,i_0_234,i_0_118,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377]) ).
cnf(i_0_3333,plain,
esk21_0 != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k3_xboole_0(esk1_0,esk1_0))),
inference(scs_inference,[],[i_0_139,i_0_3104,i_0_654,i_0_2619,i_0_2622,i_0_3166,i_0_3071,i_0_2997,i_0_3027,i_0_2989,i_0_2736,i_0_3120,i_0_3122,i_0_3178,i_0_3193,i_0_2498,i_0_3138,i_0_3289,i_0_3140,i_0_3266,i_0_3114,i_0_2504,i_0_2523,i_0_3177,i_0_3092,i_0_3077,i_0_3082,i_0_2473,i_0_2977,i_0_3084,i_0_2630,i_0_1673,i_0_3262,i_0_2380,i_0_2324,i_0_2252,i_0_3275,i_0_3283,i_0_1029,i_0_540,i_0_3008,i_0_2612,i_0_292,i_0_201,i_0_1543,i_0_192,i_0_189,i_0_162,i_0_3245,i_0_330,i_0_165,i_0_2190,i_0_3243,i_0_3247,i_0_3271,i_0_3273,i_0_164,i_0_176,i_0_635,i_0_167,i_0_3264,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_242,i_0_243,i_0_249,i_0_250,i_0_148,i_0_260,i_0_131,i_0_134,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_237,i_0_240,i_0_241,i_0_236,i_0_235,i_0_248,i_0_247,i_0_214,i_0_147,i_0_154,i_0_133,i_0_1869,i_0_258,i_0_259,i_0_126,i_0_234,i_0_118,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429]) ).
cnf(i_0_3384,plain,
v1_xboole_0(k3_xboole_0(X1,k3_xboole_0(X2,esk10_0))),
inference(rename_variables,[],[i_0_3250]) ).
cnf(i_0_3397,plain,
k3_xboole_0(k1_xboole_0,X1) = k1_xboole_0,
inference(rename_variables,[],[i_0_3218]) ).
cnf(i_0_3402,plain,
v1_funct_1(k7_relat_1(esk15_0,X1)),
inference(rename_variables,[],[i_0_3288]) ).
cnf(i_0_3335,plain,
v1_relat_1(k7_relat_1(k7_relat_1(esk15_0,X1),X2)),
inference(scs_inference,[],[i_0_3291,i_0_151]) ).
cnf(i_0_3337,plain,
v1_finset_1(k3_xboole_0(k3_xboole_0(esk14_0,X1),X2)),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_151,i_0_152]) ).
cnf(i_0_3339,plain,
v1_finset_1(k3_xboole_0(X1,k3_xboole_0(X2,esk10_0))),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_2111,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_3341,plain,
k1_relat_1(k7_relat_1(esk21_0,X1)) = k3_xboole_0(k1_relat_1(esk21_0),X1),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142]) ).
cnf(i_0_3343,plain,
v1_relat_1(esk6_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2))),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158]) ).
cnf(i_0_3345,plain,
v1_funct_1(esk6_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2))),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159]) ).
cnf(i_0_3347,plain,
k3_xboole_0(X1,k3_xboole_0(X2,esk10_0)) = k1_xboole_0,
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3250,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180]) ).
cnf(i_0_3349,plain,
k3_xboole_0(k3_xboole_0(k1_xboole_0,X1),X2) = k3_xboole_0(k1_xboole_0,X2),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215]) ).
cnf(i_0_3351,plain,
k1_closure3(k3_xboole_0(k1_xboole_0,X1),X2) = k1_closure3(k1_xboole_0,X2),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217]) ).
cnf(i_0_3352,plain,
k1_closure3(X1,k3_xboole_0(k1_xboole_0,X2)) = k1_closure3(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218]) ).
cnf(i_0_3353,plain,
k1_funct_1(k3_xboole_0(k1_xboole_0,X1),X2) = k1_funct_1(k1_xboole_0,X2),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_3354,plain,
k1_funct_1(X1,k3_xboole_0(k1_xboole_0,X2)) = k1_funct_1(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220]) ).
cnf(i_0_3355,plain,
esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3) = esk9_3(k1_xboole_0,X2,X3),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221]) ).
cnf(i_0_3356,plain,
esk9_3(X1,k3_xboole_0(k1_xboole_0,X2),X3) = esk9_3(X1,k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_3357,plain,
esk9_3(X1,X2,k3_xboole_0(k1_xboole_0,X3)) = esk9_3(X1,X2,k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223]) ).
cnf(i_0_3358,plain,
esk8_3(k3_xboole_0(k1_xboole_0,X1),X2,X3) = esk8_3(k1_xboole_0,X2,X3),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224]) ).
cnf(i_0_3359,plain,
esk8_3(X1,k3_xboole_0(k1_xboole_0,X2),X3) = esk8_3(X1,k1_xboole_0,X3),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225]) ).
cnf(i_0_3360,plain,
esk8_3(X1,X2,k3_xboole_0(k1_xboole_0,X3)) = esk8_3(X1,X2,k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226]) ).
cnf(i_0_3361,plain,
a_2_0_closure3(k3_xboole_0(k1_xboole_0,X1),X2) = a_2_0_closure3(k1_xboole_0,X2),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227]) ).
cnf(i_0_3362,plain,
a_2_0_closure3(X1,k3_xboole_0(k1_xboole_0,X2)) = a_2_0_closure3(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228]) ).
cnf(i_0_3363,plain,
k7_relat_1(k3_xboole_0(k1_xboole_0,X1),X2) = k7_relat_1(k1_xboole_0,X2),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_3364,plain,
k7_relat_1(X1,k3_xboole_0(k1_xboole_0,X2)) = k7_relat_1(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230]) ).
cnf(i_0_3365,plain,
k1_relat_1(k3_xboole_0(k1_xboole_0,X1)) = k1_relat_1(k1_xboole_0),
inference(scs_inference,[],[i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231]) ).
cnf(i_0_3368,plain,
esk16_1(esk17_0) != esk21_0,
inference(scs_inference,[],[i_0_2593,i_0_3285,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3308,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213]) ).
cnf(i_0_3369,plain,
v1_funct_1(k7_relat_1(k7_relat_1(esk15_0,X1),X2)),
inference(scs_inference,[],[i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_3250,i_0_3296,i_0_3308,i_0_3280,i_0_2111,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145]) ).
cnf(i_0_3370,plain,
v1_relat_1(k7_relat_1(esk15_0,X1)),
inference(rename_variables,[],[i_0_3291]) ).
cnf(i_0_3372,plain,
v1_pre_circ(k3_xboole_0(esk16_1(X1),esk16_1(X1)),k1_relat_1(esk16_1(X1))),
inference(scs_inference,[],[i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_3296,i_0_3308,i_0_3280,i_0_2111,i_0_2190,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249]) ).
cnf(i_0_3374,plain,
m1_subset_1(esk7_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2)),k3_xboole_0(X3,k3_xboole_0(esk14_0,X4))),
inference(scs_inference,[],[i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_3296,i_0_3308,i_0_3244,i_0_3280,i_0_2111,i_0_2328,i_0_2190,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243]) ).
cnf(i_0_3375,plain,
v1_pre_circ(esk16_1(X1),k3_xboole_0(k1_relat_1(esk16_1(X1)),k1_relat_1(esk16_1(X1)))),
inference(scs_inference,[],[i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_3296,i_0_3308,i_0_3244,i_0_3280,i_0_2111,i_0_2328,i_0_2190,i_0_3373,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250]) ).
cnf(i_0_3380,plain,
r6_pboole(esk1_0,k3_xboole_0(esk16_1(esk1_0),esk16_1(esk1_0)),esk16_1(esk1_0)),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3308,i_0_3244,i_0_3280,i_0_2111,i_0_2328,i_0_162,i_0_2190,i_0_3373,i_0_3376,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245]) ).
cnf(i_0_3382,plain,
v1_xboole_0(k3_xboole_0(X1,esk15_0)),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_2111,i_0_2328,i_0_162,i_0_2190,i_0_3373,i_0_3376,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238]) ).
cnf(i_0_3385,plain,
r6_pboole(k3_xboole_0(esk1_0,esk1_0),esk16_1(esk1_0),esk16_1(esk1_0)),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_2111,i_0_2328,i_0_162,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244]) ).
cnf(i_0_3387,plain,
r6_pboole(esk1_0,esk16_1(esk1_0),k3_xboole_0(esk16_1(esk1_0),esk16_1(esk1_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_2111,i_0_2328,i_0_162,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246]) ).
cnf(i_0_3396,plain,
k1_xboole_0 != k3_xboole_0(esk17_0,esk17_0),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_2111,i_0_2785,i_0_3390,i_0_2328,i_0_162,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214]) ).
cnf(i_0_3403,plain,
v1_relat_1(k7_relat_1(esk15_0,X1)),
inference(rename_variables,[],[i_0_3291]) ).
cnf(i_0_3401,plain,
m1_pboole(k7_relat_1(esk15_0,X1),k3_xboole_0(k1_relat_1(esk15_0),X1)),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2785,i_0_3390,i_0_2328,i_0_1920,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154]) ).
cnf(i_0_3405,plain,
k3_xboole_0(k3_xboole_0(X1,k3_xboole_0(X2,esk10_0)),X3) != k3_xboole_0(esk1_0,esk1_0),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133]) ).
cnf(i_0_3408,plain,
~ v1_xboole_0(k3_xboole_0(k3_xboole_0(esk1_0,esk1_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156]) ).
cnf(i_0_3410,plain,
r2_hidden(esk7_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),k1_relat_1(esk2_0)),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258]) ).
cnf(i_0_3414,plain,
v2_relat_1(esk6_1(k3_xboole_0(k3_xboole_0(X1,esk10_0),X2))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136]) ).
cnf(i_0_3417,plain,
~ v2_relat_1(esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0)))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150]) ).
cnf(i_0_3421,plain,
esk6_1(k3_xboole_0(esk15_0,X1)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821]) ).
cnf(i_0_3422,plain,
esk16_1(k3_xboole_0(X1,k1_xboole_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852]) ).
cnf(i_0_3423,plain,
esk16_1(k3_xboole_0(X1,esk15_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941]) ).
cnf(i_0_3424,plain,
esk16_1(k3_xboole_0(esk15_0,X1)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962]) ).
cnf(i_0_3425,plain,
esk6_1(k3_xboole_0(X1,k1_xboole_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155]) ).
cnf(i_0_3426,plain,
esk6_1(k3_xboole_0(esk14_0,esk14_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706]) ).
cnf(i_0_3427,plain,
esk16_1(k3_xboole_0(esk14_0,esk14_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744]) ).
cnf(i_0_3428,plain,
esk16_1(k3_xboole_0(esk10_0,esk10_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783]) ).
cnf(i_0_3429,plain,
esk6_1(k3_xboole_0(esk10_0,esk10_0)) != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083]) ).
cnf(i_0_3430,plain,
esk3_0 != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321]) ).
cnf(i_0_3431,plain,
esk2_0 != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377]) ).
cnf(i_0_3432,plain,
esk21_0 != esk16_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),
inference(scs_inference,[],[i_0_637,i_0_2593,i_0_3285,i_0_3288,i_0_3291,i_0_3370,i_0_3218,i_0_3298,i_0_689,i_0_3250,i_0_2852,i_0_3296,i_0_3212,i_0_3277,i_0_2755,i_0_3308,i_0_3125,i_0_3244,i_0_3280,i_0_3173,i_0_3004,i_0_3179,i_0_2111,i_0_2304,i_0_1716,i_0_2785,i_0_3390,i_0_2614,i_0_2328,i_0_1920,i_0_437,i_0_162,i_0_264,i_0_2190,i_0_3373,i_0_3376,i_0_3381,i_0_3386,i_0_3388,i_0_164,i_0_176,i_0_186,i_0_151,i_0_152,i_0_153,i_0_142,i_0_158,i_0_159,i_0_180,i_0_215,i_0_216,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_143,i_0_213,i_0_145,i_0_249,i_0_243,i_0_250,i_0_148,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_156,i_0_258,i_0_256,i_0_136,i_0_150,i_0_821,i_0_852,i_0_941,i_0_962,i_0_1155,i_0_706,i_0_744,i_0_783,i_0_1083,i_0_321,i_0_377,i_0_429]) ).
cnf(i_0_3435,plain,
v1_relat_1(k7_relat_1(k7_relat_1(k7_relat_1(esk15_0,X1),X2),X3)),
inference(scs_inference,[],[i_0_3335,i_0_151]) ).
cnf(i_0_3437,plain,
v1_finset_1(k3_xboole_0(k3_xboole_0(k3_xboole_0(esk14_0,X1),X2),X3)),
inference(scs_inference,[],[i_0_3335,i_0_3337,i_0_151,i_0_152]) ).
cnf(i_0_3439,plain,
v1_finset_1(k3_xboole_0(X1,k3_xboole_0(k3_xboole_0(esk14_0,X2),X3))),
inference(scs_inference,[],[i_0_3335,i_0_3337,i_0_151,i_0_152,i_0_153]) ).
cnf(i_0_3445,plain,
k1_relat_1(k7_relat_1(esk20_0,X1)) = k3_xboole_0(k1_relat_1(esk20_0),X1),
inference(scs_inference,[],[i_0_3335,i_0_3337,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142]) ).
cnf(i_0_3470,plain,
v1_relat_1(k7_relat_1(k7_relat_1(esk15_0,X1),X2)),
inference(rename_variables,[],[i_0_3335]) ).
cnf(i_0_3480,plain,
k3_xboole_0(X1,k3_xboole_0(X2,esk10_0)) = k1_xboole_0,
inference(rename_variables,[],[i_0_3347]) ).
cnf(i_0_3484,plain,
k1_relat_1(k3_xboole_0(k1_xboole_0,X1)) = k1_relat_1(k1_xboole_0),
inference(rename_variables,[],[i_0_3365]) ).
cnf(i_0_3492,plain,
k7_relat_1(X1,k3_xboole_0(k1_xboole_0,X2)) = k7_relat_1(X1,k1_xboole_0),
inference(rename_variables,[],[i_0_3364]) ).
cnf(i_0_3447,plain,
~ r2_hidden(k1_relat_1(esk2_0),esk7_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0)))),
inference(scs_inference,[],[i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143]) ).
cnf(i_0_3449,plain,
k3_xboole_0(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3),X4) = k3_xboole_0(esk9_3(k1_xboole_0,X2,X3),X4),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215]) ).
cnf(i_0_3450,plain,
k1_closure3(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3),X4) = k1_closure3(esk9_3(k1_xboole_0,X2,X3),X4),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217]) ).
cnf(i_0_3451,plain,
k1_closure3(X1,esk9_3(k3_xboole_0(k1_xboole_0,X2),X3,X4)) = k1_closure3(X1,esk9_3(k1_xboole_0,X3,X4)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218]) ).
cnf(i_0_3452,plain,
k1_funct_1(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3),X4) = k1_funct_1(esk9_3(k1_xboole_0,X2,X3),X4),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219]) ).
cnf(i_0_3453,plain,
k1_funct_1(X1,esk9_3(k3_xboole_0(k1_xboole_0,X2),X3,X4)) = k1_funct_1(X1,esk9_3(k1_xboole_0,X3,X4)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220]) ).
cnf(i_0_3454,plain,
esk9_3(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3),X4,X5) = esk9_3(esk9_3(k1_xboole_0,X2,X3),X4,X5),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221]) ).
cnf(i_0_3455,plain,
esk9_3(X1,esk9_3(k3_xboole_0(k1_xboole_0,X2),X3,X4),X5) = esk9_3(X1,esk9_3(k1_xboole_0,X3,X4),X5),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222]) ).
cnf(i_0_3456,plain,
esk9_3(X1,X2,esk9_3(k3_xboole_0(k1_xboole_0,X3),X4,X5)) = esk9_3(X1,X2,esk9_3(k1_xboole_0,X4,X5)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223]) ).
cnf(i_0_3457,plain,
esk8_3(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3),X4,X5) = esk8_3(esk9_3(k1_xboole_0,X2,X3),X4,X5),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224]) ).
cnf(i_0_3458,plain,
esk8_3(X1,esk9_3(k3_xboole_0(k1_xboole_0,X2),X3,X4),X5) = esk8_3(X1,esk9_3(k1_xboole_0,X3,X4),X5),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225]) ).
cnf(i_0_3459,plain,
esk8_3(X1,X2,esk9_3(k3_xboole_0(k1_xboole_0,X3),X4,X5)) = esk8_3(X1,X2,esk9_3(k1_xboole_0,X4,X5)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226]) ).
cnf(i_0_3462,plain,
k7_relat_1(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3),X4) = k7_relat_1(esk9_3(k1_xboole_0,X2,X3),X4),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229]) ).
cnf(i_0_3463,plain,
k7_relat_1(X1,esk9_3(k3_xboole_0(k1_xboole_0,X2),X3,X4)) = k7_relat_1(X1,esk9_3(k1_xboole_0,X3,X4)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230]) ).
cnf(i_0_3464,plain,
k1_relat_1(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3)) = k1_relat_1(esk9_3(k1_xboole_0,X2,X3)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231]) ).
cnf(i_0_3465,plain,
k3_xboole_0(X1,esk9_3(k3_xboole_0(k1_xboole_0,X2),X3,X4)) = k3_xboole_0(X1,esk9_3(k1_xboole_0,X3,X4)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216]) ).
cnf(i_0_3466,plain,
r2_hidden(esk7_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),k3_xboole_0(esk1_0,esk1_0)),
inference(scs_inference,[],[i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3391,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258]) ).
cnf(i_0_3468,plain,
esk16_1(esk11_0) != esk21_0,
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3335,i_0_3337,i_0_3410,i_0_3391,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213]) ).
cnf(i_0_3469,plain,
v1_funct_1(k7_relat_1(k7_relat_1(k7_relat_1(esk15_0,X1),X2),X3)),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3335,i_0_3337,i_0_3369,i_0_3410,i_0_3391,i_0_3393,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145]) ).
cnf(i_0_3475,plain,
m1_subset_1(esk7_1(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3)),esk9_3(k1_xboole_0,X2,X3)),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3410,i_0_3391,i_0_3393,i_0_162,i_0_3473,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243]) ).
cnf(i_0_3479,plain,
r6_pboole(k1_relat_1(k3_xboole_0(esk15_0,k3_xboole_0(esk10_0,esk10_0))),k1_xboole_0,k1_xboole_0),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3347,i_0_3410,i_0_3391,i_0_3393,i_0_2402,i_0_3082,i_0_2519,i_0_162,i_0_3473,i_0_187,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245]) ).
cnf(i_0_3481,plain,
~ v1_xboole_0(k3_xboole_0(k1_funct_1(esk2_0,esk7_1(esk1_0)),k1_funct_1(esk2_0,esk7_1(esk1_0)))),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_3393,i_0_2402,i_0_3082,i_0_2519,i_0_162,i_0_3473,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238]) ).
cnf(i_0_3483,plain,
r6_pboole(k1_relat_1(k1_xboole_0),k3_xboole_0(k1_xboole_0,esk15_0),k3_xboole_0(k1_xboole_0,esk15_0)),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_3393,i_0_2402,i_0_3082,i_0_540,i_0_2519,i_0_162,i_0_3473,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244]) ).
cnf(i_0_3490,plain,
r2_hidden(esk7_1(k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0))),esk1_0),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_2758,i_0_3393,i_0_2374,i_0_2402,i_0_3082,i_0_2617,i_0_540,i_0_2519,i_0_2558,i_0_162,i_0_3473,i_0_2190,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233]) ).
cnf(i_0_3493,plain,
m1_pboole(k7_relat_1(esk15_0,X1),k3_xboole_0(k1_relat_1(esk15_0),X1)),
inference(rename_variables,[],[i_0_3401]) ).
cnf(i_0_3494,plain,
m1_pboole(esk6_1(esk9_3(k3_xboole_0(k1_xboole_0,X1),X2,X3)),esk9_3(k1_xboole_0,X2,X3)),
inference(scs_inference,[],[i_0_2821,i_0_3355,i_0_3364,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3401,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_2758,i_0_3393,i_0_2374,i_0_2402,i_0_3082,i_0_2617,i_0_540,i_0_2519,i_0_2558,i_0_162,i_0_3473,i_0_165,i_0_2190,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241]) ).
cnf(i_0_3496,plain,
k3_xboole_0(esk3_0,esk3_0) != esk20_0,
inference(scs_inference,[],[i_0_2516,i_0_2821,i_0_3355,i_0_3364,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3401,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_2758,i_0_3393,i_0_2374,i_0_2402,i_0_3082,i_0_2617,i_0_540,i_0_2519,i_0_2558,i_0_162,i_0_3473,i_0_165,i_0_2190,i_0_3489,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214]) ).
cnf(i_0_3502,plain,
k1_relat_1(esk16_1(k3_xboole_0(X1,esk15_0))) != esk1_0,
inference(scs_inference,[],[i_0_2516,i_0_2821,i_0_3355,i_0_3364,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3401,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_2758,i_0_3393,i_0_2374,i_0_2402,i_0_773,i_0_3277,i_0_3082,i_0_2617,i_0_2699,i_0_540,i_0_2519,i_0_2558,i_0_2647,i_0_178,i_0_175,i_0_162,i_0_3473,i_0_165,i_0_2190,i_0_3489,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154]) ).
cnf(i_0_3506,plain,
k3_xboole_0(k3_xboole_0(k1_xboole_0,X1),X2) != k3_xboole_0(k1_relat_1(esk2_0),k1_relat_1(esk2_0)),
inference(scs_inference,[],[i_0_2516,i_0_2821,i_0_3355,i_0_3364,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3401,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_2758,i_0_3393,i_0_2374,i_0_2402,i_0_773,i_0_3277,i_0_3082,i_0_2617,i_0_2699,i_0_540,i_0_2519,i_0_2558,i_0_1518,i_0_2647,i_0_178,i_0_175,i_0_162,i_0_3473,i_0_165,i_0_2190,i_0_3489,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133]) ).
cnf(i_0_3509,plain,
r2_hidden(esk7_1(k3_xboole_0(k3_xboole_0(esk1_0,esk1_0),k1_relat_1(esk2_0))),k1_relat_1(esk2_0)),
inference(scs_inference,[],[i_0_2516,i_0_2821,i_0_3355,i_0_3364,i_0_3365,i_0_3408,i_0_3335,i_0_3337,i_0_3369,i_0_3401,i_0_2560,i_0_3347,i_0_3410,i_0_3391,i_0_2758,i_0_3393,i_0_2374,i_0_2402,i_0_773,i_0_3277,i_0_3082,i_0_2617,i_0_2699,i_0_540,i_0_2519,i_0_2558,i_0_1518,i_0_2647,i_0_178,i_0_175,i_0_162,i_0_3473,i_0_165,i_0_2190,i_0_3489,i_0_187,i_0_167,i_0_151,i_0_152,i_0_153,i_0_158,i_0_159,i_0_142,i_0_143,i_0_215,i_0_217,i_0_218,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_224,i_0_225,i_0_226,i_0_227,i_0_228,i_0_229,i_0_230,i_0_231,i_0_216,i_0_258,i_0_213,i_0_145,i_0_148,i_0_243,i_0_250,i_0_245,i_0_238,i_0_244,i_0_246,i_0_232,i_0_233,i_0_240,i_0_241,i_0_214,i_0_147,i_0_154,i_0_133,i_0_259]) ).
cnf(c_0_3207,plain,
( m1_pboole(X1,X2)
| k1_relat_1(X1) != X2
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
i_0_154 ).
cnf(c_0_3208,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
i_0_147 ).
cnf(c_0_3209,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_158 ).
cnf(c_0_3210,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_159 ).
cnf(c_0_3211,plain,
( m1_pboole(X1,k1_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(er,[status(thm)],[c_0_3207]) ).
cnf(c_0_3212,plain,
( k1_relat_1(k7_relat_1(X1,X2)) = k3_xboole_0(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1) ),
i_0_142 ).
cnf(c_0_3213,plain,
( v1_relat_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1) ),
i_0_151 ).
cnf(c_0_3214,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3208,c_0_3209]),c_0_3210]) ).
cnf(c_0_3215,negated_conjecture,
m1_pboole(esk3_0,esk1_0),
i_0_172 ).
cnf(c_0_3216,plain,
( m1_pboole(k7_relat_1(X1,X2),k3_xboole_0(k1_relat_1(X1),X2))
| ~ v1_funct_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3211,c_0_3212]),c_0_3213]) ).
cnf(c_0_3217,negated_conjecture,
k1_relat_1(esk3_0) = esk1_0,
inference(spm,[status(thm)],[c_0_3214,c_0_3215]) ).
cnf(c_0_3218,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_3209,c_0_3215]) ).
cnf(c_0_3219,negated_conjecture,
( m1_pboole(k7_relat_1(esk3_0,X1),k3_xboole_0(esk1_0,X1))
| ~ v1_funct_1(k7_relat_1(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3216,c_0_3217]),c_0_3218])]) ).
cnf(c_0_3220,plain,
k3_xboole_0(X1,X1) = X1,
i_0_167 ).
cnf(c_0_3221,plain,
( m1_pboole(k7_relat_1(esk3_0,esk1_0),esk1_0)
| ~ v1_funct_1(k7_relat_1(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_3219,c_0_3220]) ).
cnf(c_0_3222,plain,
( v1_funct_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
i_0_145 ).
cnf(c_0_3223,negated_conjecture,
v1_funct_1(esk3_0),
inference(spm,[status(thm)],[c_0_3210,c_0_3215]) ).
cnf(c_0_3224,plain,
m1_pboole(k7_relat_1(esk3_0,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3221,c_0_3222]),c_0_3223]),c_0_3218])]) ).
cnf(c_0_3225,plain,
( v1_xboole_0(k1_funct_1(X1,esk4_2(X2,X1)))
| v2_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_126 ).
cnf(c_0_3226,plain,
( k1_funct_1(k7_relat_1(X1,X2),X3) = k1_funct_1(X1,X3)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X3,k1_relat_1(k7_relat_1(X1,X2))) ),
i_0_119 ).
cnf(c_0_3227,plain,
k1_relat_1(k7_relat_1(esk3_0,esk1_0)) = esk1_0,
inference(spm,[status(thm)],[c_0_3214,c_0_3224]) ).
cnf(c_0_3228,plain,
( v1_relat_1(k7_relat_1(esk3_0,X1))
| ~ v1_funct_1(k7_relat_1(esk3_0,X1)) ),
inference(spm,[status(thm)],[c_0_3209,c_0_3219]) ).
cnf(c_0_3229,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| v2_relat_1(X2)
| ~ m1_pboole(X2,X1) ),
i_0_136 ).
cnf(c_0_3230,plain,
( X1 = k1_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != a_2_0_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
i_0_138 ).
cnf(c_0_3231,plain,
( v2_relat_1(X1)
| v1_xboole_0(k1_funct_1(X1,esk4_2(k1_relat_1(X1),X1)))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_3225,c_0_3211]) ).
cnf(c_0_3232,plain,
( k1_funct_1(k7_relat_1(esk3_0,esk1_0),X1) = k1_funct_1(esk3_0,X1)
| ~ r2_hidden(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3226,c_0_3227]),c_0_3223]),c_0_3218])]) ).
cnf(c_0_3233,plain,
v1_funct_1(k7_relat_1(esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_3210,c_0_3224]) ).
cnf(c_0_3234,plain,
v1_relat_1(k7_relat_1(esk3_0,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3228,c_0_3222]),c_0_3223]),c_0_3218])]) ).
cnf(c_0_3235,plain,
( v2_relat_1(k7_relat_1(esk3_0,esk1_0))
| r2_hidden(esk4_2(esk1_0,k7_relat_1(esk3_0,esk1_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_3229,c_0_3224]) ).
cnf(c_0_3236,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| r2_hidden(X3,a_2_0_closure3(X4,X1))
| v1_xboole_0(X4)
| ~ m1_subset_1(X2,X4)
| X3 != X2
| ~ m1_pboole(X1,X4) ),
i_0_127 ).
cnf(c_0_3237,plain,
( a_2_0_closure3(X1,X2) = k1_closure3(X1,X2)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(er,[status(thm)],[c_0_3230]) ).
cnf(c_0_3238,negated_conjecture,
k1_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk3_0),
i_0_161 ).
cnf(c_0_3239,negated_conjecture,
~ v1_xboole_0(esk1_0),
i_0_183 ).
cnf(c_0_3240,plain,
k3_xboole_0(X1,k1_relat_1(esk2_0)) = k3_xboole_0(X1,k3_xboole_0(esk1_0,esk1_0)),
i_0_3174 ).
cnf(c_0_3241,plain,
( ~ v2_relat_1(X1)
| ~ r2_hidden(X2,X3)
| ~ v1_xboole_0(k1_funct_1(X1,X2))
| ~ m1_pboole(X1,X3) ),
i_0_130 ).
cnf(c_0_3242,plain,
( v2_relat_1(k7_relat_1(esk3_0,esk1_0))
| v1_xboole_0(k1_funct_1(esk3_0,esk4_2(esk1_0,k7_relat_1(esk3_0,esk1_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3231,c_0_3232]),c_0_3227]),c_0_3233]),c_0_3234]),c_0_3227])]),c_0_3235]) ).
cnf(c_0_3243,negated_conjecture,
v2_relat_1(esk3_0),
i_0_206 ).
cnf(c_0_3244,plain,
( k1_funct_1(X1,X2) = k1_xboole_0
| v1_xboole_0(X3)
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(er,[status(thm)],[c_0_3236]) ).
cnf(c_0_3245,negated_conjecture,
a_2_0_closure3(esk1_0,esk3_0) = k1_closure3(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3237,c_0_3215]),c_0_3238]),c_0_3239]) ).
cnf(c_0_3246,plain,
( r2_hidden(esk23_2(X1,X2),k1_relat_1(X1))
| X1 = X2
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
i_0_132 ).
cnf(c_0_3247,plain,
k3_xboole_0(X1,k1_relat_1(esk2_0)) = k3_xboole_0(X1,esk1_0),
inference(rw,[status(thm)],[c_0_3240,c_0_3220]) ).
cnf(c_0_3248,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
i_0_157 ).
cnf(c_0_3249,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
i_0_173 ).
cnf(c_0_3250,plain,
( v2_relat_1(k7_relat_1(esk3_0,esk1_0))
| ~ m1_pboole(esk3_0,X1)
| ~ r2_hidden(esk4_2(esk1_0,k7_relat_1(esk3_0,esk1_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3241,c_0_3242]),c_0_3243])]) ).
cnf(c_0_3251,negated_conjecture,
( k1_funct_1(esk3_0,X1) = k1_xboole_0
| r2_hidden(X1,k1_closure3(esk1_0,esk2_0))
| ~ m1_subset_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3244,c_0_3245]),c_0_3215])]),c_0_3239]) ).
cnf(c_0_3252,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_155 ).
cnf(c_0_3253,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk23_2(X1,esk3_0),k1_relat_1(X1))
| k1_relat_1(X1) != esk1_0
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3246,c_0_3223]),c_0_3217]),c_0_3218])]) ).
cnf(c_0_3254,plain,
k1_relat_1(esk2_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3220,c_0_3247]),c_0_3248]),c_0_3247]),c_0_3220]) ).
cnf(c_0_3255,negated_conjecture,
v1_funct_1(esk2_0),
inference(spm,[status(thm)],[c_0_3210,c_0_3249]) ).
cnf(c_0_3256,negated_conjecture,
v1_relat_1(esk2_0),
inference(spm,[status(thm)],[c_0_3209,c_0_3249]) ).
cnf(c_0_3257,plain,
esk3_0 != esk2_0,
i_0_3104 ).
cnf(c_0_3258,plain,
v2_relat_1(k7_relat_1(esk3_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3250,c_0_3235]),c_0_3215])]) ).
cnf(c_0_3259,plain,
( X1 = esk8_3(X1,X2,X3)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
i_0_122 ).
cnf(c_0_3260,negated_conjecture,
a_2_0_closure3(esk1_0,esk2_0) = k1_closure3(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3237,c_0_3249]),c_0_3239]) ).
cnf(c_0_3261,plain,
( k1_funct_1(esk3_0,X1) = k1_xboole_0
| r2_hidden(X1,k1_closure3(esk1_0,esk2_0))
| ~ r2_hidden(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_3251,c_0_3252]) ).
cnf(c_0_3262,plain,
r2_hidden(esk23_2(esk2_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3253,c_0_3254]),c_0_3255]),c_0_3256])]),c_0_3257]) ).
cnf(c_0_3263,plain,
k3_xboole_0(k1_relat_1(esk2_0),X1) = k3_xboole_0(k3_xboole_0(esk1_0,esk1_0),X1),
i_0_2994 ).
cnf(c_0_3264,plain,
( ~ m1_pboole(k7_relat_1(esk3_0,esk1_0),X1)
| ~ v1_xboole_0(k1_funct_1(esk3_0,X2))
| ~ r2_hidden(X2,esk1_0)
| ~ r2_hidden(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3241,c_0_3232]),c_0_3258])]) ).
cnf(c_0_3265,negated_conjecture,
( esk8_3(X1,esk1_0,esk2_0) = X1
| ~ r2_hidden(X1,k1_closure3(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3259,c_0_3260]),c_0_3249])]),c_0_3239]) ).
cnf(c_0_3266,plain,
( k1_funct_1(esk3_0,esk23_2(esk2_0,esk3_0)) = k1_xboole_0
| r2_hidden(esk23_2(esk2_0,esk3_0),k1_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_3261,c_0_3262]) ).
cnf(c_0_3267,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k3_xboole_0(k1_relat_1(esk2_0),X1)),
i_0_3008 ).
cnf(c_0_3268,plain,
k3_xboole_0(k1_relat_1(esk2_0),X1) = k3_xboole_0(esk1_0,X1),
inference(rw,[status(thm)],[c_0_3263,c_0_3220]) ).
cnf(c_0_3269,plain,
( ~ v1_xboole_0(k1_funct_1(esk3_0,X1))
| ~ r2_hidden(X1,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3264,c_0_3211]),c_0_3227]),c_0_3233]),c_0_3234])]) ).
cnf(c_0_3270,negated_conjecture,
( esk8_3(esk23_2(esk2_0,esk3_0),esk1_0,esk2_0) = esk23_2(esk2_0,esk3_0)
| k1_funct_1(esk3_0,esk23_2(esk2_0,esk3_0)) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_3265,c_0_3266]) ).
cnf(c_0_3271,plain,
v1_xboole_0(k1_xboole_0),
i_0_211 ).
cnf(c_0_3272,negated_conjecture,
k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk3_0,k1_closure3(esk1_0,esk3_0)),
i_0_139 ).
cnf(c_0_3273,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k3_xboole_0(esk1_0,X1)),
inference(rw,[status(thm)],[c_0_3267,c_0_3268]) ).
cnf(c_0_3274,plain,
( v1_xboole_0(X1)
| k1_funct_1(X2,esk8_3(X3,X1,X2)) != k1_xboole_0
| ~ r2_hidden(X3,a_2_0_closure3(X1,X2))
| ~ m1_pboole(X2,X1) ),
i_0_113 ).
cnf(c_0_3275,plain,
esk8_3(esk23_2(esk2_0,esk3_0),esk1_0,esk2_0) = esk23_2(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3269,c_0_3270]),c_0_3271]),c_0_3262])]) ).
cnf(c_0_3276,negated_conjecture,
k7_relat_1(esk3_0,k1_closure3(esk1_0,esk2_0)) = k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_3272,c_0_3238]) ).
cnf(c_0_3277,plain,
k1_relat_1(k7_relat_1(esk2_0,X1)) = k3_xboole_0(esk1_0,X1),
inference(spm,[status(thm)],[c_0_3214,c_0_3273]) ).
cnf(c_0_3278,negated_conjecture,
( k1_funct_1(esk2_0,X1) = k1_xboole_0
| r2_hidden(X1,k1_closure3(esk1_0,esk2_0))
| ~ m1_subset_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3244,c_0_3260]),c_0_3249])]),c_0_3239]) ).
cnf(c_0_3279,plain,
( k1_funct_1(esk2_0,esk23_2(esk2_0,esk3_0)) != k1_xboole_0
| ~ r2_hidden(esk23_2(esk2_0,esk3_0),k1_closure3(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3274,c_0_3275]),c_0_3249]),c_0_3260])]),c_0_3239]) ).
cnf(c_0_3280,negated_conjecture,
( k1_funct_1(k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0)),X1) = k1_funct_1(esk3_0,X1)
| ~ r2_hidden(X1,k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3226,c_0_3276]),c_0_3223]),c_0_3218]),c_0_3277])]) ).
cnf(c_0_3281,plain,
( k1_funct_1(k7_relat_1(esk2_0,X1),X2) = k1_funct_1(esk2_0,X2)
| ~ r2_hidden(X2,k3_xboole_0(esk1_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3226,c_0_3277]),c_0_3255]),c_0_3256])]) ).
cnf(c_0_3282,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X1,X4)
| X2 != k3_xboole_0(X3,X4) ),
i_0_133 ).
cnf(c_0_3283,plain,
( k1_funct_1(esk2_0,X1) = k1_xboole_0
| r2_hidden(X1,k1_closure3(esk1_0,esk2_0))
| ~ r2_hidden(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_3278,c_0_3252]) ).
cnf(c_0_3284,plain,
( X1 = X2
| k1_funct_1(X1,esk23_2(X1,X2)) != k1_funct_1(X2,esk23_2(X1,X2))
| k1_relat_1(X1) != k1_relat_1(X2)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
i_0_120 ).
cnf(c_0_3285,plain,
( k1_funct_1(esk3_0,esk23_2(esk2_0,esk3_0)) = k1_xboole_0
| k1_funct_1(esk2_0,esk23_2(esk2_0,esk3_0)) != k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_3279,c_0_3266]) ).
cnf(c_0_3286,negated_conjecture,
( k1_funct_1(esk3_0,X1) = k1_funct_1(esk2_0,X1)
| ~ r2_hidden(X1,k3_xboole_0(esk1_0,k1_closure3(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_3280,c_0_3281]) ).
cnf(c_0_3287,plain,
( r2_hidden(X1,k3_xboole_0(X2,X3))
| ~ r2_hidden(X1,X3)
| ~ r2_hidden(X1,X2) ),
inference(er,[status(thm)],[c_0_3282]) ).
cnf(c_0_3288,plain,
( k1_funct_1(esk2_0,esk23_2(esk2_0,esk3_0)) = k1_xboole_0
| r2_hidden(esk23_2(esk2_0,esk3_0),k1_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_3283,c_0_3262]) ).
cnf(c_0_3289,plain,
k1_funct_1(esk2_0,esk23_2(esk2_0,esk3_0)) != k1_xboole_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3284,c_0_3285]),c_0_3254]),c_0_3217]),c_0_3223]),c_0_3255]),c_0_3218]),c_0_3256])]),c_0_3257]) ).
cnf(c_0_3290,plain,
( k1_funct_1(esk3_0,X1) = k1_funct_1(esk2_0,X1)
| ~ r2_hidden(X1,k1_closure3(esk1_0,esk2_0))
| ~ r2_hidden(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_3286,c_0_3287]) ).
cnf(c_0_3291,plain,
r2_hidden(esk23_2(esk2_0,esk3_0),k1_closure3(esk1_0,esk2_0)),
inference(sr,[status(thm)],[c_0_3288,c_0_3289]) ).
cnf(c_0_3292,plain,
k1_funct_1(esk3_0,esk23_2(esk2_0,esk3_0)) = k1_funct_1(esk2_0,esk23_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3290,c_0_3291]),c_0_3262])]) ).
cnf(c_0_3293,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3284,c_0_3292]),c_0_3254]),c_0_3217]),c_0_3223]),c_0_3255]),c_0_3218]),c_0_3256])]),c_0_3257]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG226+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n001.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 10:27:03 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 240.74/162.54 % Version : CSE_E---1.7
% 240.74/162.54 % Problem : theBenchmark.p
% 240.74/162.54 % SZS status Theorem for theBenchmark.p
% 240.74/162.54 % SZS output start CNFRefutation
% See solution above
% 250.84/172.66 % Total time : 161.737s
%------------------------------------------------------------------------------