%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG225+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 04:08:18 PM UTC 2026
% Result : Theorem 178.24s 123.63s
% Output : CNFRefutation 193.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_82)
% Comments :
%------------------------------------------------------------------------------
fof(t6_closure3,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_closure3) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(d6_pboole,axiom,
! [X1] : k1_pboole(X1) = k2_funcop_1(X1,k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_pboole) ).
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/sandbox2/benchmark/theBenchmark.p',fc2_pboole) ).
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/sandbox2/benchmark/theBenchmark.p',d3_closure3) ).
fof(t1_closure3,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_pboole(X3,X1)
=> k1_funct_4(X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_closure3) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cc1_pboole) ).
fof(fc1_mssubfam,axiom,
! [X1] :
( v1_relat_1(k1_pboole(X1))
& v3_relat_1(k1_pboole(X1))
& v1_funct_1(k1_pboole(X1))
& v1_pre_circ(k1_pboole(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_mssubfam) ).
fof(dt_k1_pboole,axiom,
! [X1] : m1_pboole(k1_pboole(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_pboole) ).
fof(rc4_finset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(rc3_finset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc3_pboole,axiom,
! [X1] :
( v1_relat_1(k1_pboole(X1))
& v3_relat_1(k1_pboole(X1))
& v1_funct_1(k1_pboole(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_pboole) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ v1_xboole_0(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d16_pboole) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(dt_k1_funct_4,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( v1_relat_1(k1_funct_4(X1,X2))
& v1_funct_1(k1_funct_4(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_funct_4) ).
fof(t97_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k1_relat_1(X2),X1)
=> k7_relat_1(X2,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t97_relat_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cc1_mssubfam) ).
fof(cc2_finset_1,axiom,
! [X1] :
( v1_finset_1(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> v1_finset_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(idempotence_k1_funct_4,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_relat_1(X2)
& v1_funct_1(X2) )
=> k1_funct_4(X1,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k1_funct_4) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(dt_m1_pboole,axiom,
! [X1,X2] :
( m1_pboole(X2,X1)
=> ( v1_relat_1(X2)
& v1_funct_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
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/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rc2_pboole) ).
fof(existence_m1_pboole,axiom,
! [X1] :
? [X2] : m1_pboole(X2,X1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_funct_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(cc1_closure2,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_fraenkel(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_closure2) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rc1_pboole) ).
fof(rc1_funct_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v1_funct_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_59,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X1) )
=> X2 = k1_funct_4(k1_pboole(X1),k7_relat_1(X2,k1_closure3(X1,X2))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_closure3])]) ).
fof(i_0_60,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_61,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_62,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& v2_relat_1(esk2_0)
& m1_pboole(esk2_0,esk1_0)
& esk2_0 != k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_59])])]) ).
fof(i_0_63,plain,
! [X146] : k1_pboole(X146) = k2_funcop_1(X146,k1_xboole_0),
inference(variable_rename,[status(thm)],[d6_pboole]) ).
fof(i_0_64,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_65,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_66,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_pboole(X2,X1)
=> ! [X3] :
( m1_pboole(X3,X1)
=> k1_funct_4(X2,X3) = X3 ) ) ),
inference(fof_simplification,[status(thm)],[t1_closure3]) ).
fof(i_0_67,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_68,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_69,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_70,plain,
! [X158] :
( v1_relat_1(k1_pboole(X158))
& v3_relat_1(k1_pboole(X158))
& v1_funct_1(k1_pboole(X158))
& v1_pre_circ(k1_pboole(X158),X158) ),
inference(variable_rename,[status(thm)],[fc1_mssubfam]) ).
fof(i_0_71,plain,
! [X149] : m1_pboole(k1_pboole(X149),X149),
inference(variable_rename,[status(thm)],[dt_k1_pboole]) ).
fof(i_0_72,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
inference(fof_simplification,[status(thm)],[rc4_finset_1]) ).
fof(i_0_73,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2)
& v1_finset_1(X2) ) ),
inference(fof_simplification,[status(thm)],[rc3_finset_1]) ).
fof(i_0_74,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_75,plain,
! [X163] :
( v1_relat_1(k1_pboole(X163))
& v3_relat_1(k1_pboole(X163))
& v1_funct_1(k1_pboole(X163)) ),
inference(variable_rename,[status(thm)],[fc3_pboole]) ).
fof(i_0_76,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_77,plain,
? [X1] : ~ v1_xboole_0(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_78,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_finset_1(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_79,plain,
! [X171,X172,X173,X175] :
( ( m1_subset_1(esk8_3(X171,X172,X173),X172)
| ~ r2_hidden(X171,a_2_1_closure3(X172,X173))
| v1_xboole_0(X172)
| ~ v2_relat_1(X173)
| ~ m1_pboole(X173,X172) )
& ( X171 = esk8_3(X171,X172,X173)
| ~ r2_hidden(X171,a_2_1_closure3(X172,X173))
| v1_xboole_0(X172)
| ~ v2_relat_1(X173)
| ~ m1_pboole(X173,X172) )
& ( k1_funct_1(X173,esk8_3(X171,X172,X173)) != k1_xboole_0
| ~ r2_hidden(X171,a_2_1_closure3(X172,X173))
| v1_xboole_0(X172)
| ~ v2_relat_1(X173)
| ~ m1_pboole(X173,X172) )
& ( ~ m1_subset_1(X175,X172)
| X171 != X175
| k1_funct_1(X173,X175) = k1_xboole_0
| r2_hidden(X171,a_2_1_closure3(X172,X173))
| v1_xboole_0(X172)
| ~ v2_relat_1(X173)
| ~ m1_pboole(X173,X172) ) ),
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_60])])])])]) ).
fof(i_0_80,plain,
! [X166,X167,X168,X170] :
( ( m1_subset_1(esk7_3(X166,X167,X168),X167)
| ~ r2_hidden(X166,a_2_0_closure3(X167,X168))
| v1_xboole_0(X167)
| ~ m1_pboole(X168,X167) )
& ( X166 = esk7_3(X166,X167,X168)
| ~ r2_hidden(X166,a_2_0_closure3(X167,X168))
| v1_xboole_0(X167)
| ~ m1_pboole(X168,X167) )
& ( k1_funct_1(X168,esk7_3(X166,X167,X168)) != k1_xboole_0
| ~ r2_hidden(X166,a_2_0_closure3(X167,X168))
| v1_xboole_0(X167)
| ~ m1_pboole(X168,X167) )
& ( ~ m1_subset_1(X170,X167)
| X166 != X170
| k1_funct_1(X168,X170) = k1_xboole_0
| r2_hidden(X166,a_2_0_closure3(X167,X168))
| v1_xboole_0(X167)
| ~ m1_pboole(X168,X167) ) ),
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_61])])])])]) ).
cnf(i_0_81,negated_conjecture,
esk2_0 != k1_funct_4(k1_pboole(esk1_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[i_0_62]) ).
cnf(i_0_82,plain,
k1_pboole(X1) = k2_funcop_1(X1,k1_xboole_0),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
fof(i_0_83,plain,
! [X208,X209] :
( ( ~ r2_hidden(esk25_2(X208,X209),X208)
| ~ r2_hidden(esk25_2(X208,X209),X209)
| X208 = X209 )
& ( r2_hidden(esk25_2(X208,X209),X208)
| r2_hidden(esk25_2(X208,X209),X209)
| X208 = X209 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_84,plain,
! [X131,X132,X133] :
( ( ~ v2_relat_1(X132)
| ~ r2_hidden(X133,X131)
| ~ v1_xboole_0(k1_funct_1(X132,X133))
| ~ m1_pboole(X132,X131) )
& ( r2_hidden(esk3_2(X131,X132),X131)
| v2_relat_1(X132)
| ~ m1_pboole(X132,X131) )
& ( v1_xboole_0(k1_funct_1(X132,esk3_2(X131,X132)))
| v2_relat_1(X132)
| ~ m1_pboole(X132,X131) ) ),
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_85,plain,
! [X160,X161,X162] :
( v1_xboole_0(X160)
| ~ v2_relat_1(X161)
| ~ m1_pboole(X161,X160)
| ~ m1_subset_1(X162,X160)
| ~ v1_xboole_0(k1_funct_1(X161,X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])]) ).
fof(i_0_86,plain,
! [X140,X141,X142,X143,X144] :
( ( ~ r1_tarski(X140,X141)
| ~ r2_hidden(X142,X140)
| r2_hidden(X142,X141) )
& ( r2_hidden(esk4_2(X143,X144),X143)
| r1_tarski(X143,X144) )
& ( ~ r2_hidden(esk4_2(X143,X144),X144)
| r1_tarski(X143,X144) ) ),
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_tarski])])])])])]) ).
fof(i_0_87,plain,
! [X213,X214,X215] :
( ~ r2_hidden(X213,X214)
| ~ m1_subset_1(X214,k1_zfmisc_1(X215))
| m1_subset_1(X213,X215) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_88,plain,
! [X135,X136,X137] :
( ( X137 != k1_closure3(X135,X136)
| X137 = a_2_0_closure3(X135,X136)
| ~ m1_pboole(X136,X135)
| v1_xboole_0(X135) )
& ( X137 != a_2_0_closure3(X135,X136)
| X137 = k1_closure3(X135,X136)
| ~ m1_pboole(X136,X135)
| v1_xboole_0(X135) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])])])]) ).
fof(i_0_89,plain,
! [X201,X202,X203] :
( v1_xboole_0(X201)
| ~ m1_pboole(X202,X201)
| ~ m1_pboole(X203,X201)
| k1_funct_4(X202,X203) = X203 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])])]) ).
fof(i_0_90,plain,
! [X216,X217,X218] :
( ~ r2_hidden(X216,X217)
| ~ m1_subset_1(X217,k1_zfmisc_1(X218))
| ~ v1_xboole_0(X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_91,plain,
! [X147,X148] :
( ( v1_relat_1(k1_funct_4(X147,X148))
| ~ v1_relat_1(X147)
| ~ v1_funct_1(X147)
| ~ v1_relat_1(X148)
| ~ v1_funct_1(X148) )
& ( v1_funct_1(k1_funct_4(X147,X148))
| ~ v1_relat_1(X147)
| ~ v1_funct_1(X147)
| ~ v1_relat_1(X148)
| ~ v1_funct_1(X148) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_funct_4])])]) ).
fof(i_0_92,plain,
! [X224,X225] :
( ~ v1_relat_1(X225)
| ~ r1_tarski(k1_relat_1(X225),X224)
| k7_relat_1(X225,X224) = X225 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t97_relat_1])]) ).
fof(i_0_93,plain,
! [X129,X130] :
( ( r1_tarski(X129,X130)
| X129 != X130 )
& ( r1_tarski(X130,X129)
| X129 != X130 )
& ( ~ r1_tarski(X129,X130)
| ~ r1_tarski(X130,X129)
| X129 = X130 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
fof(i_0_94,plain,
! [X211,X212] :
( ( ~ m1_subset_1(X211,k1_zfmisc_1(X212))
| r1_tarski(X211,X212) )
& ( ~ r1_tarski(X211,X212)
| m1_subset_1(X211,k1_zfmisc_1(X212)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_95,plain,
! [X115,X116] :
( ~ r2_hidden(X115,X116)
| ~ r2_hidden(X116,X115) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
fof(i_0_96,plain,
! [X164,X165] :
( ( v1_relat_1(k7_relat_1(X164,X165))
| ~ v1_relat_1(X164)
| ~ v1_funct_1(X164) )
& ( v1_funct_1(k7_relat_1(X164,X165))
| ~ v1_relat_1(X164)
| ~ v1_funct_1(X164) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_funct_1])])]) ).
fof(i_0_97,plain,
! [X120,X121] :
( ~ m1_pboole(X121,X120)
| ~ v3_relat_1(X121)
| v1_pre_circ(X121,X120) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_mssubfam])]) ).
fof(i_0_98,plain,
! [X124,X125] :
( ~ v1_finset_1(X124)
| ~ m1_subset_1(X125,k1_zfmisc_1(X124))
| v1_finset_1(X125) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])]) ).
fof(i_0_99,plain,
! [X176,X177] :
( ~ v1_relat_1(X176)
| ~ v1_funct_1(X176)
| ~ v1_relat_1(X177)
| ~ v1_funct_1(X177)
| k1_funct_4(X176,X176) = X176 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[idempotence_k1_funct_4])]) ).
fof(i_0_100,plain,
! [X138,X139] :
( ( ~ m1_pboole(X139,X138)
| k1_relat_1(X139) = X138
| ~ v1_relat_1(X139)
| ~ v1_funct_1(X139) )
& ( k1_relat_1(X139) != X138
| m1_pboole(X139,X138)
| ~ v1_relat_1(X139)
| ~ v1_funct_1(X139) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_pboole])])]) ).
fof(i_0_101,plain,
! [X206,X207] :
( ~ m1_subset_1(X206,X207)
| v1_xboole_0(X207)
| r2_hidden(X206,X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_102,plain,
! [X127,X128] :
( v1_xboole_0(X127)
| ~ m1_pboole(X128,X127)
| ~ v3_relat_1(X128)
| ~ v2_relat_1(X128) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])])]) ).
fof(i_0_103,plain,
! [X122,X123] :
( v1_xboole_0(X122)
| ~ m1_pboole(X123,X122)
| ~ v2_relat_1(X123)
| ~ v3_relat_1(X123) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])])]) ).
fof(i_0_104,plain,
! [X150,X151] :
( ~ v1_relat_1(X150)
| v1_relat_1(k7_relat_1(X150,X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])]) ).
cnf(i_0_105,plain,
v1_pre_circ(k1_pboole(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_70]) ).
cnf(i_0_106,plain,
m1_pboole(k1_pboole(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_71]) ).
fof(i_0_107,plain,
! [X204,X205] :
( ~ r2_hidden(X204,X205)
| m1_subset_1(X204,X205) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_108,plain,
! [X196] :
( ( m1_subset_1(esk22_1(X196),k1_zfmisc_1(X196))
| v1_xboole_0(X196) )
& ( ~ v1_xboole_0(esk22_1(X196))
| v1_xboole_0(X196) )
& ( v1_finset_1(esk22_1(X196))
| v1_xboole_0(X196) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])])])]) ).
fof(i_0_109,plain,
! [X191] :
( ( m1_subset_1(esk19_1(X191),k1_zfmisc_1(X191))
| v1_xboole_0(X191) )
& ( ~ v1_xboole_0(esk19_1(X191))
| v1_xboole_0(X191) )
& ( v1_finset_1(esk19_1(X191))
| v1_xboole_0(X191) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])])])]) ).
fof(i_0_110,plain,
! [X182] :
( ( m1_subset_1(esk13_1(X182),k1_zfmisc_1(X182))
| v1_xboole_0(X182) )
& ( ~ v1_xboole_0(esk13_1(X182))
| v1_xboole_0(X182) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])])])]) ).
fof(i_0_111,plain,
! [X220,X221] :
( ~ r2_hidden(X220,X221)
| ~ v1_xboole_0(X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
cnf(i_0_112,plain,
v1_relat_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[i_0_75]) ).
cnf(i_0_113,plain,
v1_relat_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[i_0_70]) ).
cnf(i_0_114,plain,
v3_relat_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[i_0_75]) ).
cnf(i_0_115,plain,
v3_relat_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[i_0_70]) ).
cnf(i_0_116,plain,
v1_funct_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[i_0_75]) ).
cnf(i_0_117,plain,
v1_funct_1(k1_pboole(X1)),
inference(split_conjunct,[status(thm)],[i_0_70]) ).
fof(i_0_118,plain,
! [X152,X153] :
( ( v1_relat_1(X153)
| ~ m1_pboole(X153,X152) )
& ( v1_funct_1(X153)
| ~ m1_pboole(X153,X152) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pboole])])]) ).
fof(i_0_119,plain,
! [X188] :
( m1_subset_1(esk17_1(X188),k1_zfmisc_1(X188))
& v1_xboole_0(esk17_1(X188)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_120,plain,
! [X126] :
( ( v1_relat_1(X126)
| ~ v1_relat_1(X126)
| ~ v1_xboole_0(X126)
| ~ v1_funct_1(X126) )
& ( v1_funct_1(X126)
| ~ v1_relat_1(X126)
| ~ v1_xboole_0(X126)
| ~ v1_funct_1(X126) )
& ( v2_funct_1(X126)
| ~ v1_relat_1(X126)
| ~ v1_xboole_0(X126)
| ~ v1_funct_1(X126) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_funct_1])])]) ).
fof(i_0_121,plain,
! [X156] : m1_subset_1(esk6_1(X156),X156),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_122,plain,
! [X194] :
( m1_pboole(esk21_1(X194),X194)
& v1_relat_1(esk21_1(X194))
& v2_relat_1(esk21_1(X194))
& v1_funct_1(esk21_1(X194)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_pboole])]) ).
fof(i_0_123,plain,
! [X186] :
( m1_pboole(esk16_1(X186),X186)
& v1_relat_1(esk16_1(X186))
& v3_relat_1(esk16_1(X186))
& v1_funct_1(esk16_1(X186)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_pboole])]) ).
fof(i_0_124,plain,
! [X154] : m1_pboole(esk5_1(X154),X154),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_pboole])]) ).
fof(i_0_125,plain,
! [X159] : ~ v1_xboole_0(k1_zfmisc_1(X159)),
inference(variable_rename,[status(thm)],[i_0_76]) ).
fof(i_0_126,plain,
! [X222,X223] :
( ~ v1_xboole_0(X222)
| X222 = X223
| ~ v1_xboole_0(X223) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_127,plain,
! [X200] : r1_tarski(X200,X200),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_128,plain,
! [X119] :
( ~ v1_xboole_0(X119)
| v1_funct_1(X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_129,plain,
! [X118] :
( ~ v1_xboole_0(X118)
| v1_finset_1(X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_130,plain,
! [X117] :
( ~ v1_xboole_0(X117)
| v1_fraenkel(X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_closure2])]) ).
fof(i_0_131,plain,
! [X219] :
( ~ v1_xboole_0(X219)
| X219 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_132,plain,
~ v1_xboole_0(esk18_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_77])]) ).
fof(i_0_133,plain,
( ~ v1_xboole_0(esk10_0)
& v1_finset_1(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_78])]) ).
fof(i_0_134,plain,
( v1_relat_1(esk20_0)
& v1_funct_1(esk20_0)
& v2_funct_1(esk20_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_funct_1])]) ).
fof(i_0_135,plain,
( v1_xboole_0(esk9_0)
& v1_relat_1(esk9_0)
& v1_funct_1(esk9_0)
& v2_funct_1(esk9_0)
& v1_finset_1(esk9_0)
& v1_fraenkel(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_closure2])]) ).
fof(i_0_136,plain,
( v1_relat_1(esk24_0)
& v2_relat_1(esk24_0)
& v1_funct_1(esk24_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc5_funct_1])]) ).
fof(i_0_137,plain,
( v1_relat_1(esk23_0)
& v3_relat_1(esk23_0)
& v1_funct_1(esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc4_funct_1])]) ).
fof(i_0_138,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_139,plain,
( v1_relat_1(esk12_0)
& v3_relat_1(esk12_0)
& v1_funct_1(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_pboole])]) ).
fof(i_0_140,plain,
( v1_relat_1(esk11_0)
& v1_funct_1(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_1])]) ).
fof(i_0_141,plain,
v1_xboole_0(esk14_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_142,plain,
( v1_xboole_0(X3)
| k1_funct_1(X1,esk8_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_79]),
[final] ).
cnf(i_0_143,plain,
( v1_xboole_0(X3)
| k1_funct_1(X1,esk7_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_80]),
[final] ).
cnf(i_0_144,plain,
( m1_subset_1(esk8_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_79]),
[final] ).
cnf(i_0_145,plain,
( m1_subset_1(esk7_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_80]),
[final] ).
cnf(i_0_146,plain,
( X1 = esk8_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_79]),
[final] ).
cnf(i_0_147,negated_conjecture,
esk2_0 != k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
inference(rw,[status(thm)],[i_0_81,c_0_82]),
[final] ).
cnf(i_0_148,plain,
( X1 = esk7_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_80]),
[final] ).
cnf(i_0_149,plain,
( X1 = X2
| ~ r2_hidden(esk25_2(X1,X2),X1)
| ~ r2_hidden(esk25_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_150,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_79]),
[final] ).
cnf(i_0_151,plain,
( v1_xboole_0(k1_funct_1(X1,esk3_2(X2,X1)))
| v2_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_152,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_80]),
[final] ).
cnf(i_0_153,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_85]),
[final] ).
cnf(i_0_154,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_84]),
[final] ).
cnf(i_0_155,plain,
( r2_hidden(esk25_2(X1,X2),X1)
| r2_hidden(esk25_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_156,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_157,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_158,plain,
( r2_hidden(esk3_2(X1,X2),X1)
| v2_relat_1(X2)
| ~ m1_pboole(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_159,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_88]),
[final] ).
cnf(i_0_160,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_88]),
[final] ).
cnf(i_0_161,plain,
( v1_xboole_0(X1)
| k1_funct_4(X2,X3) = X3
| ~ m1_pboole(X2,X1)
| ~ m1_pboole(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_162,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_163,plain,
( r2_hidden(X3,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_164,plain,
( v1_relat_1(k1_funct_4(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_165,plain,
( v1_funct_1(k1_funct_4(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_166,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_167,plain,
( k7_relat_1(X1,X2) = X1
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_168,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_169,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_170,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_171,plain,
( v1_relat_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_172,plain,
( v1_funct_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_173,plain,
( v1_pre_circ(X1,X2)
| ~ m1_pboole(X1,X2)
| ~ v3_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_174,plain,
( v1_finset_1(X2)
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_175,plain,
( k1_funct_4(X1,X1) = X1
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_funct_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_176,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_177,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_100]),
[final] ).
cnf(i_0_178,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_179,plain,
( v1_xboole_0(X1)
| ~ m1_pboole(X2,X1)
| ~ v3_relat_1(X2)
| ~ v2_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_180,plain,
( v1_xboole_0(X1)
| ~ m1_pboole(X2,X1)
| ~ v2_relat_1(X2)
| ~ v3_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_181,plain,
( v1_relat_1(k7_relat_1(X1,X2))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_182,plain,
v1_pre_circ(k2_funcop_1(X1,k1_xboole_0),X1),
inference(rw,[status(thm)],[i_0_105,c_0_82]),
[final] ).
cnf(i_0_183,plain,
m1_pboole(k2_funcop_1(X1,k1_xboole_0),X1),
inference(rw,[status(thm)],[i_0_106,c_0_82]),
[final] ).
cnf(i_0_184,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_100]),
[final] ).
cnf(i_0_185,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_186,plain,
( m1_subset_1(esk22_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_187,plain,
( m1_subset_1(esk19_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_188,plain,
( m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_189,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_190,plain,
v1_relat_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[i_0_112,c_0_82]),
[final] ).
cnf(i_0_191,plain,
v1_relat_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[i_0_113,c_0_82]),
[final] ).
cnf(i_0_192,plain,
v3_relat_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[i_0_114,c_0_82]),
[final] ).
cnf(i_0_193,plain,
v3_relat_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[i_0_115,c_0_82]),
[final] ).
cnf(i_0_194,plain,
v1_funct_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[i_0_116,c_0_82]),
[final] ).
cnf(i_0_195,plain,
v1_funct_1(k2_funcop_1(X1,k1_xboole_0)),
inference(rw,[status(thm)],[i_0_117,c_0_82]),
[final] ).
cnf(i_0_196,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_197,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_198,plain,
m1_subset_1(esk17_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_199,plain,
( v2_funct_1(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_200,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_201,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_202,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_203,plain,
m1_subset_1(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_204,plain,
m1_pboole(esk21_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_205,plain,
m1_pboole(esk16_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_206,plain,
m1_pboole(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_207,plain,
( r1_tarski(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_208,plain,
( r1_tarski(X1,X2)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_209,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_210,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_211,plain,
( v1_finset_1(esk22_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_212,plain,
( v1_finset_1(esk19_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_213,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_214,plain,
( v1_funct_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_215,plain,
( v1_finset_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_216,plain,
( v1_fraenkel(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_217,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_218,plain,
v1_relat_1(esk21_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_219,plain,
v1_relat_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_220,plain,
v3_relat_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_221,plain,
v1_funct_1(esk21_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_222,plain,
v1_funct_1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_223,plain,
v2_relat_1(esk21_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_224,plain,
v1_xboole_0(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_225,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_226,plain,
~ v1_xboole_0(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_227,plain,
~ v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_228,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_229,plain,
v2_funct_1(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_230,plain,
v2_funct_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_231,plain,
v1_relat_1(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_232,plain,
v1_relat_1(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_233,plain,
v1_relat_1(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_234,plain,
v1_relat_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_235,plain,
v1_relat_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_236,plain,
v1_relat_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_237,plain,
v1_relat_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_238,plain,
v3_relat_1(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_239,plain,
v3_relat_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_240,plain,
v1_funct_1(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_241,plain,
v1_funct_1(esk23_0),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_242,plain,
v1_funct_1(esk20_0),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_243,plain,
v1_funct_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_244,plain,
v1_funct_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_245,plain,
v1_funct_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_246,plain,
v1_funct_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_247,plain,
v1_finset_1(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_248,plain,
v1_finset_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_249,plain,
v1_fraenkel(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_250,plain,
v2_relat_1(esk24_0),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_251,negated_conjecture,
v2_relat_1(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_252,plain,
v1_xboole_0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_253,plain,
v1_xboole_0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_254,plain,
v1_xboole_0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_255,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_256,axiom,
X1 = X1 ).
cnf(i_0_257,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_258,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_259,axiom,
( X1 != X2
| k1_funct_1(X1,X3) = k1_funct_1(X2,X3) ) ).
cnf(i_0_260,axiom,
( X1 != X2
| k1_funct_1(X3,X1) = k1_funct_1(X3,X2) ) ).
cnf(i_0_261,axiom,
( X1 != X2
| k1_relat_1(X1) = k1_relat_1(X2) ) ).
cnf(i_0_262,axiom,
( X1 != X2
| esk8_3(X1,X3,X4) = esk8_3(X2,X3,X4) ) ).
cnf(i_0_263,axiom,
( X1 != X2
| esk8_3(X3,X1,X4) = esk8_3(X3,X2,X4) ) ).
cnf(i_0_264,axiom,
( X1 != X2
| esk8_3(X3,X4,X1) = esk8_3(X3,X4,X2) ) ).
cnf(i_0_265,axiom,
( X1 != X2
| esk7_3(X1,X3,X4) = esk7_3(X2,X3,X4) ) ).
cnf(i_0_266,axiom,
( X1 != X2
| esk7_3(X3,X1,X4) = esk7_3(X3,X2,X4) ) ).
cnf(i_0_267,axiom,
( X1 != X2
| esk7_3(X3,X4,X1) = esk7_3(X3,X4,X2) ) ).
cnf(i_0_268,axiom,
( X1 != X2
| a_2_0_closure3(X1,X3) = a_2_0_closure3(X2,X3) ) ).
cnf(i_0_269,axiom,
( X1 != X2
| a_2_0_closure3(X3,X1) = a_2_0_closure3(X3,X2) ) ).
cnf(i_0_270,axiom,
( X1 != X2
| k1_funct_4(X1,X3) = k1_funct_4(X2,X3) ) ).
cnf(i_0_271,axiom,
( X1 != X2
| k1_funct_4(X3,X1) = k1_funct_4(X3,X2) ) ).
cnf(i_0_272,axiom,
( X1 != X2
| k7_relat_1(X1,X3) = k7_relat_1(X2,X3) ) ).
cnf(i_0_273,axiom,
( X1 != X2
| k7_relat_1(X3,X1) = k7_relat_1(X3,X2) ) ).
cnf(i_0_274,axiom,
( X1 != X2
| k1_closure3(X1,X3) = k1_closure3(X2,X3) ) ).
cnf(i_0_275,axiom,
( X1 != X2
| k1_closure3(X3,X1) = k1_closure3(X3,X2) ) ).
cnf(i_0_276,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_277,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_278,axiom,
( X1 != X2
| ~ v1_finset_1(X1)
| v1_finset_1(X2) ) ).
cnf(i_0_279,axiom,
( X1 != X2
| ~ v2_funct_1(X1)
| v2_funct_1(X2) ) ).
cnf(i_0_280,axiom,
( X1 != X2
| ~ v1_fraenkel(X1)
| v1_fraenkel(X2) ) ).
cnf(i_0_281,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_282,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_283,axiom,
( X1 != X2
| ~ v2_relat_1(X1)
| v2_relat_1(X2) ) ).
cnf(i_0_284,axiom,
( X1 != X2
| ~ m1_pboole(X1,X3)
| m1_pboole(X2,X3) ) ).
cnf(i_0_285,axiom,
( X1 != X2
| ~ m1_pboole(X3,X1)
| m1_pboole(X3,X2) ) ).
cnf(i_0_286,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_287,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_288,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_289,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_290,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_291,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_292,axiom,
( X1 != X2
| ~ v1_pre_circ(X1,X3)
| v1_pre_circ(X2,X3) ) ).
cnf(i_0_293,axiom,
( X1 != X2
| ~ v1_pre_circ(X3,X1)
| v1_pre_circ(X3,X2) ) ).
cnf(i_0_2408,plain,
v1_funct_1(k1_funct_4(k1_funct_4(esk5_1(X1),esk14_0),k1_funct_4(esk5_1(X1),esk14_0))),
inference(scs_inference,[],[i_0_2262,i_0_2224,i_0_1123,i_0_2362,i_0_1966,i_0_641,i_0_2177,i_0_1012,i_0_1215,i_0_2391,i_0_1218,i_0_2341,i_0_2406,i_0_2226,i_0_2250,i_0_2255,i_0_2193,i_0_1670,i_0_753,i_0_209,i_0_2132,i_0_922,i_0_464,i_0_182,i_0_1881,i_0_1173,i_0_690,i_0_716,i_0_1266,i_0_590,i_0_1877,i_0_1024,i_0_1076,i_0_369,i_0_549,i_0_205,i_0_2350,i_0_2367,i_0_2384,i_0_2400,i_0_183,i_0_1018,i_0_2372,i_0_193,i_0_203,i_0_2345,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_168,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_161,i_0_180,i_0_175,i_0_537,i_0_843,i_0_862,i_0_885,i_0_157,i_0_297,i_0_296,i_0_164,i_0_165]) ).
cnf(i_0_2412,plain,
v1_pre_circ(k2_funcop_1(esk15_0,k1_xboole_0),esk14_0),
inference(equality_inference,[],[2411]) ).
cnf(i_0_2421,plain,
m1_subset_1(a_2_0_closure3(esk1_0,esk2_0),k1_zfmisc_1(k1_closure3(esk1_0,esk2_0))),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_1888,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176]) ).
cnf(i_0_2429,plain,
v1_finset_1(esk22_1(k1_funct_1(esk21_1(esk18_0),esk6_1(esk18_0)))),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_1888,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211]) ).
cnf(i_0_2431,plain,
v1_finset_1(esk19_1(k1_funct_1(esk21_1(esk18_0),esk6_1(esk18_0)))),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_1888,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212]) ).
cnf(i_0_2433,plain,
k1_relat_1(k2_funcop_1(esk6_1(k1_zfmisc_1(esk9_0)),k1_xboole_0)) = k1_xboole_0,
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_1888,i_0_1499,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225]) ).
cnf(i_0_2435,plain,
~ r2_hidden(esk1_0,k1_zfmisc_1(k7_relat_1(esk9_0,k1_relat_1(esk9_0)))),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_1888,i_0_2347,i_0_1499,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185]) ).
cnf(i_0_2437,plain,
~ m1_subset_1(k1_zfmisc_1(X1),k1_zfmisc_1(esk17_1(X2))),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_1888,i_0_2347,i_0_1499,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169]) ).
cnf(i_0_2439,plain,
~ r2_hidden(esk18_0,esk3_2(esk18_0,esk16_1(esk18_0))),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170]) ).
cnf(i_0_2441,plain,
r2_hidden(esk4_2(k1_zfmisc_1(X1),k1_xboole_0),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_2378,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166]) ).
cnf(i_0_2443,plain,
k1_funct_1(a_2_0_closure3(esk1_0,esk2_0),X1) = k1_funct_1(k1_closure3(esk1_0,esk2_0),X1),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259]) ).
cnf(i_0_2444,plain,
k1_funct_1(X1,a_2_0_closure3(esk1_0,esk2_0)) = k1_funct_1(X1,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260]) ).
cnf(i_0_2445,plain,
k1_relat_1(a_2_0_closure3(esk1_0,esk2_0)) = k1_relat_1(k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261]) ).
cnf(i_0_2446,plain,
esk8_3(a_2_0_closure3(esk1_0,esk2_0),X1,X2) = esk8_3(k1_closure3(esk1_0,esk2_0),X1,X2),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262]) ).
cnf(i_0_2447,plain,
esk8_3(X1,a_2_0_closure3(esk1_0,esk2_0),X2) = esk8_3(X1,k1_closure3(esk1_0,esk2_0),X2),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263]) ).
cnf(i_0_2448,plain,
esk8_3(X1,X2,a_2_0_closure3(esk1_0,esk2_0)) = esk8_3(X1,X2,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).
cnf(i_0_2449,plain,
esk7_3(a_2_0_closure3(esk1_0,esk2_0),X1,X2) = esk7_3(k1_closure3(esk1_0,esk2_0),X1,X2),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265]) ).
cnf(i_0_2450,plain,
esk7_3(X1,a_2_0_closure3(esk1_0,esk2_0),X2) = esk7_3(X1,k1_closure3(esk1_0,esk2_0),X2),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266]) ).
cnf(i_0_2451,plain,
esk7_3(X1,X2,a_2_0_closure3(esk1_0,esk2_0)) = esk7_3(X1,X2,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267]) ).
cnf(i_0_2452,plain,
a_2_0_closure3(a_2_0_closure3(esk1_0,esk2_0),X1) = a_2_0_closure3(k1_closure3(esk1_0,esk2_0),X1),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268]) ).
cnf(i_0_2453,plain,
a_2_0_closure3(X1,a_2_0_closure3(esk1_0,esk2_0)) = a_2_0_closure3(X1,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_2454,plain,
k1_funct_4(a_2_0_closure3(esk1_0,esk2_0),X1) = k1_funct_4(k1_closure3(esk1_0,esk2_0),X1),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_2455,plain,
k1_funct_4(X1,a_2_0_closure3(esk1_0,esk2_0)) = k1_funct_4(X1,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_2456,plain,
k7_relat_1(a_2_0_closure3(esk1_0,esk2_0),X1) = k7_relat_1(k1_closure3(esk1_0,esk2_0),X1),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272]) ).
cnf(i_0_2457,plain,
k7_relat_1(X1,a_2_0_closure3(esk1_0,esk2_0)) = k7_relat_1(X1,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273]) ).
cnf(i_0_2458,plain,
k1_closure3(a_2_0_closure3(esk1_0,esk2_0),X1) = k1_closure3(k1_closure3(esk1_0,esk2_0),X1),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274]) ).
cnf(i_0_2459,plain,
k1_closure3(X1,a_2_0_closure3(esk1_0,esk2_0)) = k1_closure3(X1,k1_closure3(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275]) ).
cnf(i_0_2460,plain,
esk21_1(esk1_0) != k7_relat_1(esk23_0,k1_relat_1(esk23_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1618,i_0_1037,i_0_2349,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257]) ).
cnf(i_0_2461,plain,
v1_funct_1(k7_relat_1(esk6_1(k1_zfmisc_1(esk17_1(X1))),X2)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1618,i_0_1037,i_0_2349,i_0_1079,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172]) ).
cnf(i_0_2467,plain,
~ m1_subset_1(k1_zfmisc_1(X1),k1_zfmisc_1(k1_relat_1(esk16_1(esk15_0)))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_2370,i_0_1618,i_0_1037,i_0_2343,i_0_2349,i_0_1079,i_0_1888,i_0_2347,i_0_1499,i_0_833,i_0_513,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162]) ).
cnf(i_0_2470,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk10_0),esk3_2(esk10_0,esk16_1(esk10_0)))),
inference(rename_variables,[],[i_0_2373]) ).
cnf(i_0_2472,plain,
r2_hidden(esk25_2(k1_relat_1(k2_funcop_1(esk9_0,k1_xboole_0)),esk1_0),esk1_0),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_2370,i_0_1618,i_0_1037,i_0_2343,i_0_2349,i_0_1079,i_0_1888,i_0_2373,i_0_2347,i_0_1499,i_0_882,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155]) ).
cnf(i_0_2477,plain,
esk7_3(k1_closure3(esk1_0,esk2_0),X1,X2) = esk7_3(a_2_0_closure3(esk1_0,esk2_0),X1,X2),
inference(rename_variables,[],[i_0_2328]) ).
cnf(i_0_2480,plain,
esk8_3(k1_closure3(esk1_0,esk2_0),X1,X2) = esk8_3(a_2_0_closure3(esk1_0,esk2_0),X1,X2),
inference(rename_variables,[],[i_0_2325]) ).
cnf(i_0_2481,plain,
m1_subset_1(esk6_1(esk15_0),esk17_1(X1)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_2370,i_0_1618,i_0_1859,i_0_1037,i_0_1591,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_1079,i_0_1888,i_0_2373,i_0_2347,i_0_1499,i_0_882,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287]) ).
cnf(i_0_2482,plain,
m1_pboole(esk6_1(k1_zfmisc_1(esk9_0)),k1_relat_1(esk17_1(X1))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_2370,i_0_1618,i_0_1859,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_1079,i_0_1888,i_0_2373,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285]) ).
cnf(i_0_2483,plain,
m1_pboole(esk14_0,k1_relat_1(esk17_1(esk15_0))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_1079,i_0_1888,i_0_2373,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284]) ).
cnf(i_0_2484,plain,
m1_pboole(esk17_1(X1),k1_relat_1(esk17_1(esk15_0))),
inference(rename_variables,[],[i_0_2368]) ).
cnf(i_0_2485,plain,
esk4_2(k1_zfmisc_1(esk6_1(k1_zfmisc_1(esk9_0))),esk6_1(k1_zfmisc_1(esk9_0))) != esk1_0,
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281]) ).
cnf(i_0_2486,plain,
r2_hidden(esk4_2(k1_zfmisc_1(X1),esk6_1(k1_zfmisc_1(esk9_0))),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_2320]) ).
cnf(i_0_2487,plain,
~ v1_xboole_0(k1_relat_1(esk16_1(k1_funct_1(esk21_1(esk18_0),esk6_1(esk18_0))))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276]) ).
cnf(i_0_2490,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk10_0),esk3_2(esk10_0,esk16_1(esk10_0)))),
inference(rename_variables,[],[i_0_2373]) ).
cnf(i_0_2585,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk10_0),esk3_2(esk10_0,esk16_1(esk10_0)))),
inference(rename_variables,[],[i_0_2373]) ).
cnf(i_0_2801,plain,
esk2_0 != k2_funcop_1(X1,k1_xboole_0),
inference(rename_variables,[],[i_0_2339]) ).
cnf(i_0_2489,plain,
k1_zfmisc_1(X1) != k1_funct_1(esk16_1(esk10_0),esk3_2(esk10_0,esk16_1(esk10_0))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282]) ).
cnf(i_0_2491,plain,
r1_tarski(esk8_3(k1_xboole_0,esk15_0,esk14_0),esk8_3(esk14_0,esk14_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_1752,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_1492,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289]) ).
cnf(i_0_2493,plain,
a_2_0_closure3(esk15_0,esk15_0) = a_2_0_closure3(esk14_0,esk14_0),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_932,i_0_933,i_0_1752,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_1492,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258]) ).
cnf(i_0_2496,plain,
r1_tarski(esk8_3(esk14_0,esk14_0,esk14_0),esk8_3(k1_xboole_0,k1_xboole_0,esk15_0)),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_932,i_0_933,i_0_1752,i_0_2008,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_927,i_0_1492,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_1483,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288]) ).
cnf(i_0_2498,plain,
k1_relat_1(esk5_1(k1_funct_1(esk15_0,esk15_0))) = k1_funct_1(esk14_0,esk14_0),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_932,i_0_933,i_0_1752,i_0_2008,i_0_2247,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_927,i_0_1492,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_942,i_0_1483,i_0_940,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177]) ).
cnf(i_0_2502,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk6_1(k1_zfmisc_1(k1_zfmisc_1(esk17_1(X2))))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_932,i_0_933,i_0_1752,i_0_2008,i_0_2247,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_927,i_0_1492,i_0_708,i_0_1611,i_0_833,i_0_513,i_0_942,i_0_1483,i_0_940,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_421]) ).
cnf(i_0_2506,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k1_relat_1(k7_relat_1(esk2_0,X1))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_932,i_0_933,i_0_1752,i_0_2008,i_0_2366,i_0_2247,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_927,i_0_1250,i_0_1492,i_0_708,i_0_1305,i_0_1611,i_0_833,i_0_513,i_0_942,i_0_1483,i_0_940,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_421,i_0_297,i_0_298]) ).
cnf(i_0_2509,plain,
v1_xboole_0(k1_relat_1(k2_funcop_1(esk6_1(k1_zfmisc_1(esk14_0)),k1_xboole_0))),
inference(scs_inference,[],[i_0_2378,i_0_2222,i_0_1470,i_0_932,i_0_933,i_0_1752,i_0_2008,i_0_2366,i_0_2247,i_0_2370,i_0_1618,i_0_1859,i_0_2368,i_0_1037,i_0_1591,i_0_2269,i_0_2343,i_0_2349,i_0_2325,i_0_2328,i_0_2320,i_0_1079,i_0_1888,i_0_2373,i_0_2470,i_0_2314,i_0_2347,i_0_1499,i_0_882,i_0_1996,i_0_663,i_0_822,i_0_927,i_0_1250,i_0_1492,i_0_708,i_0_1305,i_0_1611,i_0_833,i_0_513,i_0_942,i_0_784,i_0_1483,i_0_940,i_0_1018,i_0_193,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_169,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_178,i_0_162,i_0_158,i_0_155,i_0_293,i_0_286,i_0_287,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_421,i_0_297,i_0_298,i_0_180]) ).
cnf(i_0_2590,plain,
esk8_3(X1,a_2_0_closure3(esk1_0,esk2_0),X2) = esk8_3(X1,k1_closure3(esk1_0,esk2_0),X2),
inference(rename_variables,[],[i_0_2447]) ).
cnf(i_0_2879,plain,
k7_relat_1(X1,a_2_0_closure3(esk1_0,esk2_0)) = k7_relat_1(X1,k1_closure3(esk1_0,esk2_0)),
inference(rename_variables,[],[i_0_2457]) ).
cnf(i_0_2882,plain,
k7_relat_1(X1,a_2_0_closure3(esk1_0,esk2_0)) = k7_relat_1(X1,k1_closure3(esk1_0,esk2_0)),
inference(rename_variables,[],[i_0_2457]) ).
cnf(i_0_2885,plain,
esk7_3(a_2_0_closure3(esk1_0,esk2_0),X1,X2) = esk7_3(k1_closure3(esk1_0,esk2_0),X1,X2),
inference(rename_variables,[],[i_0_2449]) ).
cnf(i_0_2888,plain,
k7_relat_1(X1,a_2_0_closure3(esk1_0,esk2_0)) = k7_relat_1(X1,k1_closure3(esk1_0,esk2_0)),
inference(rename_variables,[],[i_0_2457]) ).
cnf(i_0_2903,plain,
k7_relat_1(X1,a_2_0_closure3(esk1_0,esk2_0)) = k7_relat_1(X1,k1_closure3(esk1_0,esk2_0)),
inference(rename_variables,[],[i_0_2457]) ).
cnf(i_0_2523,plain,
m1_subset_1(esk8_3(esk14_0,esk14_0,esk14_0),k1_zfmisc_1(esk8_3(k1_xboole_0,k1_xboole_0,esk15_0))),
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176]) ).
cnf(i_0_2525,plain,
m1_subset_1(esk22_1(esk22_1(esk22_1(esk18_0))),k1_zfmisc_1(esk22_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186]) ).
cnf(i_0_2527,plain,
m1_subset_1(esk19_1(esk22_1(esk22_1(esk18_0))),k1_zfmisc_1(esk22_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187]) ).
cnf(i_0_2529,plain,
m1_subset_1(esk13_1(esk22_1(esk22_1(esk18_0))),k1_zfmisc_1(esk22_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188]) ).
cnf(i_0_2531,plain,
v1_finset_1(esk22_1(esk22_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211]) ).
cnf(i_0_2533,plain,
v1_finset_1(esk19_1(esk22_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212]) ).
cnf(i_0_2535,plain,
k1_relat_1(k2_funcop_1(esk6_1(k1_zfmisc_1(esk14_0)),k1_xboole_0)) = k1_xboole_0,
inference(scs_inference,[],[i_0_2496,i_0_1244,i_0_1788,i_0_2509,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225]) ).
cnf(i_0_2537,plain,
~ r2_hidden(k1_zfmisc_1(X1),k1_zfmisc_1(esk17_1(X2))),
inference(scs_inference,[],[i_0_2496,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185]) ).
cnf(i_0_2539,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk4_2(k1_zfmisc_1(X1),k1_xboole_0)),
inference(scs_inference,[],[i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170]) ).
cnf(i_0_2541,plain,
~ m1_subset_1(k1_zfmisc_1(X1),k1_zfmisc_1(esk15_0)),
inference(scs_inference,[],[i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169]) ).
cnf(i_0_2543,plain,
r2_hidden(esk4_2(esk1_0,esk15_0),esk1_0),
inference(scs_inference,[],[i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166]) ).
cnf(i_0_2545,plain,
k1_funct_1(k1_funct_4(esk15_0,X1),X2) = k1_funct_1(k1_funct_4(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259]) ).
cnf(i_0_2546,plain,
k1_funct_1(X1,k1_funct_4(esk15_0,X2)) = k1_funct_1(X1,k1_funct_4(esk14_0,X2)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260]) ).
cnf(i_0_2547,plain,
k1_relat_1(k1_funct_4(esk15_0,X1)) = k1_relat_1(k1_funct_4(esk14_0,X1)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261]) ).
cnf(i_0_2548,plain,
esk8_3(k1_funct_4(esk15_0,X1),X2,X3) = esk8_3(k1_funct_4(esk14_0,X1),X2,X3),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262]) ).
cnf(i_0_2549,plain,
esk8_3(X1,k1_funct_4(esk15_0,X2),X3) = esk8_3(X1,k1_funct_4(esk14_0,X2),X3),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263]) ).
cnf(i_0_2550,plain,
esk8_3(X1,X2,k1_funct_4(esk15_0,X3)) = esk8_3(X1,X2,k1_funct_4(esk14_0,X3)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).
cnf(i_0_2551,plain,
esk7_3(k1_funct_4(esk15_0,X1),X2,X3) = esk7_3(k1_funct_4(esk14_0,X1),X2,X3),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265]) ).
cnf(i_0_2552,plain,
esk7_3(X1,k1_funct_4(esk15_0,X2),X3) = esk7_3(X1,k1_funct_4(esk14_0,X2),X3),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266]) ).
cnf(i_0_2553,plain,
esk7_3(X1,X2,k1_funct_4(esk15_0,X3)) = esk7_3(X1,X2,k1_funct_4(esk14_0,X3)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267]) ).
cnf(i_0_2554,plain,
a_2_0_closure3(k1_funct_4(esk15_0,X1),X2) = a_2_0_closure3(k1_funct_4(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268]) ).
cnf(i_0_2555,plain,
a_2_0_closure3(X1,k1_funct_4(esk15_0,X2)) = a_2_0_closure3(X1,k1_funct_4(esk14_0,X2)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_2556,plain,
k1_funct_4(k1_funct_4(esk15_0,X1),X2) = k1_funct_4(k1_funct_4(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_2557,plain,
k1_funct_4(X1,k1_funct_4(esk15_0,X2)) = k1_funct_4(X1,k1_funct_4(esk14_0,X2)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_2558,plain,
k7_relat_1(k1_funct_4(esk15_0,X1),X2) = k7_relat_1(k1_funct_4(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272]) ).
cnf(i_0_2559,plain,
k7_relat_1(X1,k1_funct_4(esk15_0,X2)) = k7_relat_1(X1,k1_funct_4(esk14_0,X2)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273]) ).
cnf(i_0_2560,plain,
k1_closure3(k1_funct_4(esk15_0,X1),X2) = k1_closure3(k1_funct_4(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274]) ).
cnf(i_0_2561,plain,
k1_closure3(X1,k1_funct_4(esk15_0,X2)) = k1_closure3(X1,k1_funct_4(esk14_0,X2)),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275]) ).
cnf(i_0_2562,plain,
k1_funct_4(esk16_1(esk18_0),esk16_1(esk18_0)) != esk2_0,
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_1788,i_0_2509,i_0_558,i_0_324,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257]) ).
cnf(i_0_2572,plain,
~ r2_hidden(esk18_0,esk6_1(k1_zfmisc_1(esk3_2(esk18_0,esk16_1(esk18_0))))),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_1788,i_0_1835,i_0_2509,i_0_558,i_0_324,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163]) ).
cnf(i_0_2575,plain,
r2_hidden(esk6_1(esk22_1(esk22_1(esk18_0))),esk22_1(esk22_1(esk18_0))),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_1788,i_0_1835,i_0_2509,i_0_558,i_0_324,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178]) ).
cnf(i_0_2578,plain,
~ m1_subset_1(k1_zfmisc_1(X1),k1_zfmisc_1(k7_relat_1(esk9_0,k1_relat_1(esk9_0)))),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_1788,i_0_1835,i_0_2509,i_0_2226,i_0_558,i_0_324,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162]) ).
cnf(i_0_2580,plain,
v1_fraenkel(esk6_1(k1_zfmisc_1(esk15_0))),
inference(scs_inference,[],[i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_2352,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2226,i_0_558,i_0_324,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280]) ).
cnf(i_0_2581,plain,
v2_funct_1(esk6_1(k1_zfmisc_1(esk15_0))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_2352,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2226,i_0_558,i_0_324,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279]) ).
cnf(i_0_2582,plain,
v1_finset_1(k7_relat_1(esk17_1(X1),k1_relat_1(esk17_1(X1)))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_2352,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_821,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278]) ).
cnf(i_0_2587,plain,
v1_pre_circ(esk16_1(k1_funct_4(esk15_0,X1)),k1_funct_4(esk14_0,X1)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_2439,i_0_2352,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293]) ).
cnf(i_0_2592,plain,
m1_subset_1(esk6_1(k1_funct_4(esk15_0,X1)),k1_funct_4(esk14_0,X1)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287]) ).
cnf(i_0_2594,plain,
v1_funct_1(esk6_1(k1_zfmisc_1(esk15_0))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_305,i_0_360,i_0_206,i_0_2567,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291]) ).
cnf(i_0_2595,plain,
m1_pboole(esk5_1(k1_funct_4(esk15_0,X1)),k1_funct_4(esk14_0,X1)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_305,i_0_360,i_0_206,i_0_2567,i_0_2570,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285]) ).
cnf(i_0_2597,plain,
m1_pboole(k7_relat_1(esk2_0,esk14_0),k1_relat_1(k7_relat_1(esk2_0,esk15_0))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_305,i_0_360,i_0_206,i_0_2567,i_0_2570,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284]) ).
cnf(i_0_2599,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k1_relat_1(k7_relat_1(esk2_0,X1))),
inference(rename_variables,[],[i_0_2506]) ).
cnf(i_0_2600,plain,
r2_hidden(k7_relat_1(esk17_1(X1),k1_relat_1(esk17_1(X1))),k1_zfmisc_1(X2)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1180,i_0_305,i_0_360,i_0_206,i_0_2567,i_0_2570,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281]) ).
cnf(i_0_2602,plain,
v1_relat_1(esk6_1(k1_zfmisc_1(esk15_0))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_206,i_0_2567,i_0_2570,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290]) ).
cnf(i_0_2603,plain,
~ v1_xboole_0(k1_relat_1(esk16_1(esk22_1(esk22_1(esk18_0))))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276]) ).
cnf(i_0_2605,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk10_0),esk3_2(k1_relat_1(esk16_1(esk10_0)),esk16_1(esk10_0)))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2189,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_549,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_203,i_0_2576,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276,i_0_282]) ).
cnf(i_0_2606,plain,
r1_tarski(esk8_3(esk14_0,esk14_0,esk14_0),esk8_3(k1_xboole_0,k1_xboole_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2189,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_549,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_203,i_0_2576,i_0_1127,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276,i_0_282,i_0_289]) ).
cnf(i_0_2610,plain,
r1_tarski(k1_funct_4(esk14_0,X1),k1_funct_4(esk15_0,X1)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2093,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2189,i_0_1511,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_549,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_213,i_0_203,i_0_2576,i_0_1127,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288]) ).
cnf(i_0_2612,plain,
k1_relat_1(esk14_0) = k1_relat_1(esk17_1(esk15_0)),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2093,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2483,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2189,i_0_1511,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_549,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_213,i_0_203,i_0_2576,i_0_1127,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177]) ).
cnf(i_0_2614,plain,
~ v1_xboole_0(k1_funct_1(esk2_0,esk6_1(esk1_0))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2093,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2483,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2189,i_0_1511,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_251,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_549,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_217,i_0_213,i_0_203,i_0_2576,i_0_2593,i_0_1127,i_0_228,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_153]) ).
cnf(i_0_2617,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk6_1(k1_zfmisc_1(k1_zfmisc_1(esk15_0)))),
inference(scs_inference,[],[i_0_1073,i_0_934,i_0_937,i_0_2496,i_0_2093,i_0_2441,i_0_2437,i_0_1562,i_0_2506,i_0_1244,i_0_1790,i_0_2439,i_0_2352,i_0_2483,i_0_2447,i_0_2489,i_0_1788,i_0_1835,i_0_2189,i_0_1511,i_0_2509,i_0_500,i_0_2373,i_0_821,i_0_2583,i_0_436,i_0_2226,i_0_558,i_0_324,i_0_311,i_0_251,i_0_209,i_0_1082,i_0_1180,i_0_305,i_0_360,i_0_549,i_0_206,i_0_2567,i_0_2570,i_0_1018,i_0_217,i_0_213,i_0_203,i_0_2576,i_0_2593,i_0_1127,i_0_228,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_296,i_0_163,i_0_178,i_0_162,i_0_280,i_0_279,i_0_278,i_0_155,i_0_293,i_0_286,i_0_287,i_0_291,i_0_285,i_0_284,i_0_281,i_0_290,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_153,i_0_421]) ).
cnf(i_0_2792,plain,
m1_pboole(k7_relat_1(esk2_0,X1),k1_relat_1(k7_relat_1(esk2_0,X1))),
inference(rename_variables,[],[i_0_2506]) ).
cnf(i_0_2629,plain,
v1_relat_1(k7_relat_1(esk6_1(k1_zfmisc_1(esk15_0)),X1)),
inference(scs_inference,[],[i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181]) ).
cnf(i_0_2631,plain,
m1_subset_1(k1_funct_4(esk14_0,X1),k1_zfmisc_1(k1_funct_4(esk15_0,X1))),
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176]) ).
cnf(i_0_2633,plain,
m1_subset_1(esk22_1(esk19_1(esk22_1(esk18_0))),k1_zfmisc_1(esk19_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186]) ).
cnf(i_0_2635,plain,
m1_subset_1(esk19_1(esk19_1(esk22_1(esk18_0))),k1_zfmisc_1(esk19_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187]) ).
cnf(i_0_2637,plain,
m1_subset_1(esk13_1(esk19_1(esk22_1(esk18_0))),k1_zfmisc_1(esk19_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188]) ).
cnf(i_0_2639,plain,
v1_finset_1(esk22_1(esk19_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211]) ).
cnf(i_0_2641,plain,
v1_finset_1(esk19_1(esk19_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212]) ).
cnf(i_0_2643,plain,
k1_funct_1(esk16_1(esk22_1(esk18_0)),esk3_2(esk22_1(esk18_0),esk16_1(esk22_1(esk18_0)))) = k1_xboole_0,
inference(scs_inference,[],[i_0_2610,i_0_1246,i_0_2602,i_0_1714,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225]) ).
cnf(i_0_2645,plain,
~ r2_hidden(k1_zfmisc_1(X1),k1_zfmisc_1(esk15_0)),
inference(scs_inference,[],[i_0_2610,i_0_2541,i_0_1246,i_0_2602,i_0_1714,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185]) ).
cnf(i_0_2647,plain,
~ r2_hidden(esk1_0,esk4_2(esk1_0,esk15_0)),
inference(scs_inference,[],[i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170]) ).
cnf(i_0_2649,plain,
~ m1_subset_1(k1_zfmisc_1(X1),k1_zfmisc_1(esk9_0)),
inference(scs_inference,[],[i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169]) ).
cnf(i_0_2651,plain,
r2_hidden(esk4_2(k1_zfmisc_1(X1),esk9_0),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166]) ).
cnf(i_0_2653,plain,
k1_funct_1(k1_funct_4(X1,esk15_0),X2) = k1_funct_1(k1_funct_4(X1,esk14_0),X2),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259]) ).
cnf(i_0_2654,plain,
k1_funct_1(X1,k1_funct_4(X2,esk15_0)) = k1_funct_1(X1,k1_funct_4(X2,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260]) ).
cnf(i_0_2655,plain,
k1_relat_1(k1_funct_4(X1,esk15_0)) = k1_relat_1(k1_funct_4(X1,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261]) ).
cnf(i_0_2656,plain,
esk8_3(k1_funct_4(X1,esk15_0),X2,X3) = esk8_3(k1_funct_4(X1,esk14_0),X2,X3),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262]) ).
cnf(i_0_2657,plain,
esk8_3(X1,k1_funct_4(X2,esk15_0),X3) = esk8_3(X1,k1_funct_4(X2,esk14_0),X3),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263]) ).
cnf(i_0_2658,plain,
esk8_3(X1,X2,k1_funct_4(X3,esk15_0)) = esk8_3(X1,X2,k1_funct_4(X3,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).
cnf(i_0_2659,plain,
esk7_3(k1_funct_4(X1,esk15_0),X2,X3) = esk7_3(k1_funct_4(X1,esk14_0),X2,X3),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265]) ).
cnf(i_0_2660,plain,
esk7_3(X1,k1_funct_4(X2,esk15_0),X3) = esk7_3(X1,k1_funct_4(X2,esk14_0),X3),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266]) ).
cnf(i_0_2661,plain,
esk7_3(X1,X2,k1_funct_4(X3,esk15_0)) = esk7_3(X1,X2,k1_funct_4(X3,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267]) ).
cnf(i_0_2662,plain,
a_2_0_closure3(k1_funct_4(X1,esk15_0),X2) = a_2_0_closure3(k1_funct_4(X1,esk14_0),X2),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268]) ).
cnf(i_0_2663,plain,
a_2_0_closure3(X1,k1_funct_4(X2,esk15_0)) = a_2_0_closure3(X1,k1_funct_4(X2,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_2664,plain,
k1_funct_4(k1_funct_4(X1,esk15_0),X2) = k1_funct_4(k1_funct_4(X1,esk14_0),X2),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_2665,plain,
k1_funct_4(X1,k1_funct_4(X2,esk15_0)) = k1_funct_4(X1,k1_funct_4(X2,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_2666,plain,
k7_relat_1(k1_funct_4(X1,esk15_0),X2) = k7_relat_1(k1_funct_4(X1,esk14_0),X2),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272]) ).
cnf(i_0_2667,plain,
k7_relat_1(X1,k1_funct_4(X2,esk15_0)) = k7_relat_1(X1,k1_funct_4(X2,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273]) ).
cnf(i_0_2668,plain,
k1_closure3(k1_funct_4(X1,esk15_0),X2) = k1_closure3(k1_funct_4(X1,esk14_0),X2),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274]) ).
cnf(i_0_2669,plain,
k1_closure3(X1,k1_funct_4(X2,esk15_0)) = k1_closure3(X1,k1_funct_4(X2,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275]) ).
cnf(i_0_2670,plain,
k1_funct_4(esk16_1(esk18_0),esk16_1(esk18_0)) != k2_funcop_1(esk9_0,k1_xboole_0),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1563,i_0_1246,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257]) ).
cnf(i_0_2671,plain,
v1_funct_1(k7_relat_1(esk6_1(k1_zfmisc_1(esk15_0)),X1)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1563,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_469,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172]) ).
cnf(i_0_2673,plain,
esk15_0 = esk6_1(k1_zfmisc_1(esk15_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1563,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_357,i_0_469,i_0_360,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168]) ).
cnf(i_0_2677,plain,
r2_hidden(esk25_2(k1_zfmisc_1(X1),esk9_0),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_1563,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_476,i_0_357,i_0_469,i_0_363,i_0_360,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155]) ).
cnf(i_0_2680,plain,
v1_pre_circ(esk16_1(k1_funct_4(esk15_0,esk15_0)),k1_funct_4(esk14_0,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_1563,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_476,i_0_357,i_0_469,i_0_363,i_0_360,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293]) ).
cnf(i_0_2681,plain,
v1_pre_circ(esk16_1(k1_funct_4(esk15_0,X1)),k1_funct_4(esk14_0,X1)),
inference(rename_variables,[],[i_0_2587]) ).
cnf(i_0_2683,plain,
m1_subset_1(esk6_1(k1_funct_4(esk15_0,esk15_0)),k1_funct_4(esk14_0,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_1563,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_476,i_0_357,i_0_469,i_0_363,i_0_360,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287]) ).
cnf(i_0_2684,plain,
m1_subset_1(esk6_1(k1_funct_4(esk15_0,X1)),k1_funct_4(esk14_0,X1)),
inference(rename_variables,[],[i_0_2592]) ).
cnf(i_0_2686,plain,
m1_subset_1(k1_closure3(esk1_0,esk2_0),k1_zfmisc_1(k1_closure3(esk1_0,esk2_0))),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_476,i_0_357,i_0_469,i_0_363,i_0_360,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286]) ).
cnf(i_0_2687,plain,
m1_pboole(esk5_1(k1_funct_4(esk15_0,esk15_0)),k1_funct_4(esk14_0,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_476,i_0_357,i_0_469,i_0_363,i_0_360,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285]) ).
cnf(i_0_2688,plain,
m1_pboole(esk5_1(k1_funct_4(esk15_0,X1)),k1_funct_4(esk14_0,X1)),
inference(rename_variables,[],[i_0_2595]) ).
cnf(i_0_2690,plain,
m1_pboole(esk14_0,k1_relat_1(esk17_1(X1))),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_469,i_0_363,i_0_360,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284]) ).
cnf(i_0_2693,plain,
~ v1_xboole_0(k1_relat_1(esk16_1(esk19_1(esk22_1(esk18_0))))),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_469,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276]) ).
cnf(i_0_2695,plain,
esk1_0 != k1_funct_1(esk16_1(esk10_0),esk3_2(k1_relat_1(esk16_1(esk10_0)),esk16_1(esk10_0))),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_469,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282]) ).
cnf(i_0_2696,plain,
~ r2_hidden(X1,k1_funct_1(esk16_1(esk10_0),esk3_2(k1_relat_1(esk16_1(esk10_0)),esk16_1(esk10_0)))),
inference(rename_variables,[],[i_0_2605]) ).
cnf(i_0_2697,plain,
r1_tarski(k1_funct_4(esk14_0,esk15_0),k1_funct_4(esk15_0,esk14_0)),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_469,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289]) ).
cnf(i_0_2699,plain,
r1_tarski(k1_funct_4(esk14_0,X1),k1_funct_4(esk15_0,X1)),
inference(rename_variables,[],[i_0_2610]) ).
cnf(i_0_2700,plain,
k1_funct_4(esk15_0,esk15_0) = k1_funct_4(k1_xboole_0,esk14_0),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2698,i_0_1133,i_0_2610,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_469,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258]) ).
cnf(i_0_2704,plain,
r1_tarski(k1_funct_4(esk14_0,X1),k1_funct_4(esk15_0,X1)),
inference(rename_variables,[],[i_0_2610]) ).
cnf(i_0_2703,plain,
r1_tarski(k1_funct_4(esk14_0,esk14_0),k1_funct_4(esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2698,i_0_2701,i_0_1133,i_0_2610,i_0_2699,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_469,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288]) ).
cnf(i_0_2706,plain,
k1_relat_1(k7_relat_1(esk2_0,esk14_0)) = k1_relat_1(k7_relat_1(esk2_0,esk15_0)),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2698,i_0_2701,i_0_1133,i_0_2610,i_0_2699,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2597,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_1250,i_0_469,i_0_1305,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177]) ).
cnf(i_0_2710,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk6_1(k1_zfmisc_1(k1_zfmisc_1(esk9_0)))),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2698,i_0_2701,i_0_1133,i_0_2610,i_0_2699,i_0_2541,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2597,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_1250,i_0_469,i_0_1305,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_421]) ).
cnf(i_0_2714,plain,
k7_relat_1(k7_relat_1(esk2_0,X1),k1_relat_1(k7_relat_1(esk2_0,X1))) = k7_relat_1(esk2_0,X1),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2698,i_0_2701,i_0_1133,i_0_2610,i_0_2699,i_0_2541,i_0_2218,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2597,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_1250,i_0_2707,i_0_469,i_0_1305,i_0_363,i_0_360,i_0_1018,i_0_2222,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_421,i_0_149,i_0_167]) ).
cnf(i_0_2717,plain,
r2_hidden(esk3_2(esk10_0,esk16_1(esk10_0)),esk10_0),
inference(scs_inference,[],[i_0_935,i_0_2682,i_0_2685,i_0_2689,i_0_2698,i_0_2701,i_0_1133,i_0_2610,i_0_2699,i_0_2541,i_0_2218,i_0_2543,i_0_2587,i_0_2592,i_0_2595,i_0_2537,i_0_1563,i_0_2421,i_0_1246,i_0_2594,i_0_2602,i_0_2597,i_0_2605,i_0_2584,i_0_1714,i_0_2482,i_0_476,i_0_804,i_0_357,i_0_1250,i_0_2707,i_0_469,i_0_1305,i_0_363,i_0_360,i_0_205,i_0_1211,i_0_1018,i_0_2222,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_168,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_177,i_0_421,i_0_149,i_0_167,i_0_158]) ).
cnf(i_0_2787,plain,
m1_subset_1(k1_funct_4(esk14_0,X1),k1_zfmisc_1(k1_funct_4(esk15_0,X1))),
inference(rename_variables,[],[i_0_2631]) ).
cnf(i_0_2891,plain,
r2_hidden(esk25_2(k1_zfmisc_1(X1),esk9_0),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_2677]) ).
cnf(i_0_2730,plain,
m1_subset_1(k1_funct_4(esk14_0,esk14_0),k1_zfmisc_1(k1_funct_4(esk15_0,esk15_0))),
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176]) ).
cnf(i_0_2732,plain,
m1_subset_1(esk22_1(esk13_1(esk22_1(esk18_0))),k1_zfmisc_1(esk13_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186]) ).
cnf(i_0_2734,plain,
m1_subset_1(esk19_1(esk13_1(esk22_1(esk18_0))),k1_zfmisc_1(esk13_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187]) ).
cnf(i_0_2736,plain,
m1_subset_1(esk13_1(esk13_1(esk22_1(esk18_0))),k1_zfmisc_1(esk13_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188]) ).
cnf(i_0_2738,plain,
v1_finset_1(esk22_1(esk13_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211]) ).
cnf(i_0_2740,plain,
v1_finset_1(esk19_1(esk13_1(esk22_1(esk18_0)))),
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212]) ).
cnf(i_0_2742,plain,
k1_funct_1(esk16_1(esk18_0),esk3_2(esk18_0,esk16_1(esk18_0))) = k1_xboole_0,
inference(scs_inference,[],[i_0_2703,i_0_1248,i_0_1923,i_0_1579,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225]) ).
cnf(i_0_2744,plain,
~ r2_hidden(k1_zfmisc_1(X1),k1_zfmisc_1(esk9_0)),
inference(scs_inference,[],[i_0_2703,i_0_2649,i_0_1248,i_0_1923,i_0_1579,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185]) ).
cnf(i_0_2746,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk4_2(k1_zfmisc_1(X1),esk9_0)),
inference(scs_inference,[],[i_0_2703,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170]) ).
cnf(i_0_2748,plain,
~ m1_subset_1(esk1_0,k1_zfmisc_1(esk17_1(X1))),
inference(scs_inference,[],[i_0_2703,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169]) ).
cnf(i_0_2750,plain,
r2_hidden(esk4_2(esk1_0,esk6_1(k1_zfmisc_1(esk17_1(X1)))),esk1_0),
inference(scs_inference,[],[i_0_2703,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166]) ).
cnf(i_0_2752,plain,
k1_funct_1(k7_relat_1(esk15_0,X1),X2) = k1_funct_1(k7_relat_1(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259]) ).
cnf(i_0_2753,plain,
k1_funct_1(X1,k7_relat_1(esk15_0,X2)) = k1_funct_1(X1,k7_relat_1(esk14_0,X2)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260]) ).
cnf(i_0_2754,plain,
k1_relat_1(k7_relat_1(esk15_0,X1)) = k1_relat_1(k7_relat_1(esk14_0,X1)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261]) ).
cnf(i_0_2755,plain,
esk8_3(k7_relat_1(esk15_0,X1),X2,X3) = esk8_3(k7_relat_1(esk14_0,X1),X2,X3),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262]) ).
cnf(i_0_2756,plain,
esk8_3(X1,k7_relat_1(esk15_0,X2),X3) = esk8_3(X1,k7_relat_1(esk14_0,X2),X3),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263]) ).
cnf(i_0_2757,plain,
esk8_3(X1,X2,k7_relat_1(esk15_0,X3)) = esk8_3(X1,X2,k7_relat_1(esk14_0,X3)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).
cnf(i_0_2758,plain,
esk7_3(k7_relat_1(esk15_0,X1),X2,X3) = esk7_3(k7_relat_1(esk14_0,X1),X2,X3),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265]) ).
cnf(i_0_2759,plain,
esk7_3(X1,k7_relat_1(esk15_0,X2),X3) = esk7_3(X1,k7_relat_1(esk14_0,X2),X3),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266]) ).
cnf(i_0_2760,plain,
esk7_3(X1,X2,k7_relat_1(esk15_0,X3)) = esk7_3(X1,X2,k7_relat_1(esk14_0,X3)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267]) ).
cnf(i_0_2761,plain,
a_2_0_closure3(k7_relat_1(esk15_0,X1),X2) = a_2_0_closure3(k7_relat_1(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268]) ).
cnf(i_0_2762,plain,
a_2_0_closure3(X1,k7_relat_1(esk15_0,X2)) = a_2_0_closure3(X1,k7_relat_1(esk14_0,X2)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_2763,plain,
k1_funct_4(k7_relat_1(esk15_0,X1),X2) = k1_funct_4(k7_relat_1(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_2764,plain,
k1_funct_4(X1,k7_relat_1(esk15_0,X2)) = k1_funct_4(X1,k7_relat_1(esk14_0,X2)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_2765,plain,
k7_relat_1(k7_relat_1(esk15_0,X1),X2) = k7_relat_1(k7_relat_1(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272]) ).
cnf(i_0_2766,plain,
k7_relat_1(X1,k7_relat_1(esk15_0,X2)) = k7_relat_1(X1,k7_relat_1(esk14_0,X2)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273]) ).
cnf(i_0_2767,plain,
k1_closure3(k7_relat_1(esk15_0,X1),X2) = k1_closure3(k7_relat_1(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274]) ).
cnf(i_0_2768,plain,
k1_closure3(X1,k7_relat_1(esk15_0,X2)) = k1_closure3(X1,k7_relat_1(esk14_0,X2)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275]) ).
cnf(i_0_2769,plain,
esk16_1(esk22_1(esk18_0)) != k2_funcop_1(esk9_0,k1_xboole_0),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1700,i_0_1248,i_0_1923,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257]) ).
cnf(i_0_2770,plain,
v1_funct_1(k7_relat_1(k7_relat_1(k1_funct_4(k7_relat_1(esk2_0,X1),k7_relat_1(esk2_0,X1)),X2),X3)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1700,i_0_1248,i_0_1923,i_0_2050,i_0_2094,i_0_1579,i_0_690,i_0_600,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172]) ).
cnf(i_0_2776,plain,
~ m1_subset_1(esk10_0,k1_zfmisc_1(esk6_1(k1_zfmisc_1(esk9_0)))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1700,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_690,i_0_600,i_0_206,i_0_1092,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162]) ).
cnf(i_0_2778,plain,
r2_hidden(esk25_2(esk1_0,k7_relat_1(esk17_1(X1),k1_relat_1(esk17_1(X1)))),esk1_0),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1700,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_1188,i_0_1066,i_0_690,i_0_600,i_0_206,i_0_1092,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155]) ).
cnf(i_0_2781,plain,
v1_pre_circ(k2_funcop_1(k7_relat_1(esk15_0,X1),k1_xboole_0),k7_relat_1(esk14_0,X1)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1700,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_1188,i_0_1066,i_0_182,i_0_690,i_0_600,i_0_206,i_0_1092,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293]) ).
cnf(i_0_2783,plain,
m1_subset_1(esk6_1(k7_relat_1(esk15_0,X1)),k7_relat_1(esk14_0,X1)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_2649,i_0_2651,i_0_1700,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_1188,i_0_1066,i_0_182,i_0_690,i_0_600,i_0_206,i_0_1092,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287]) ).
cnf(i_0_2785,plain,
m1_subset_1(k1_funct_4(esk14_0,k1_xboole_0),k1_zfmisc_1(k1_funct_4(esk15_0,esk15_0))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2649,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_1188,i_0_1066,i_0_182,i_0_690,i_0_600,i_0_206,i_0_1092,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286]) ).
cnf(i_0_2788,plain,
m1_pboole(esk5_1(k7_relat_1(esk15_0,X1)),k7_relat_1(esk14_0,X1)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2649,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_1188,i_0_1066,i_0_182,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285]) ).
cnf(i_0_2790,plain,
m1_pboole(k7_relat_1(esk2_0,k1_xboole_0),k1_relat_1(k7_relat_1(esk2_0,esk15_0))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_1136,i_0_2649,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_182,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284]) ).
cnf(i_0_2793,plain,
~ r2_hidden(k1_relat_1(esk2_0),esk4_2(esk1_0,esk15_0)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_1136,i_0_2649,i_0_2647,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281]) ).
cnf(i_0_2794,plain,
~ v1_xboole_0(k1_relat_1(esk16_1(esk13_1(esk22_1(esk18_0))))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_1136,i_0_2649,i_0_2647,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276]) ).
cnf(i_0_2796,plain,
~ r2_hidden(X1,k1_funct_4(k1_funct_4(esk17_1(X2),esk17_1(X2)),k1_funct_4(esk17_1(X2),esk17_1(X2)))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_1136,i_0_2649,i_0_2647,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282]) ).
cnf(i_0_2798,plain,
r1_tarski(k1_funct_4(esk14_0,esk14_0),k1_funct_4(esk15_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2786,i_0_1136,i_0_2649,i_0_2647,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_1018,i_0_203,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289]) ).
cnf(i_0_2802,plain,
r1_tarski(k7_relat_1(esk14_0,X1),k7_relat_1(esk15_0,X1)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2786,i_0_1136,i_0_2649,i_0_2647,i_0_2339,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_2016,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_1092,i_0_1018,i_0_203,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288]) ).
cnf(i_0_2804,plain,
k1_relat_1(esk16_1(k1_closure3(esk10_0,esk5_1(esk10_0)))) = a_2_0_closure3(esk10_0,esk5_1(esk10_0)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2786,i_0_1136,i_0_2649,i_0_2647,i_0_2339,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_2016,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_600,i_0_206,i_0_2774,i_0_2789,i_0_1092,i_0_1018,i_0_2795,i_0_227,i_0_203,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_159]) ).
cnf(i_0_2808,plain,
~ v1_xboole_0(k1_funct_1(esk21_1(k1_zfmisc_1(X1)),esk4_2(k1_zfmisc_1(X1),esk9_0))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2786,i_0_1136,i_0_2649,i_0_2647,i_0_2339,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_2016,i_0_1744,i_0_1579,i_0_2506,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_600,i_0_223,i_0_206,i_0_2774,i_0_2789,i_0_204,i_0_1092,i_0_1018,i_0_2795,i_0_227,i_0_203,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_159,i_0_154]) ).
cnf(i_0_2812,plain,
k1_relat_1(esk6_1(k1_zfmisc_1(esk9_0))) = k1_relat_1(esk17_1(X1)),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2786,i_0_1136,i_0_2649,i_0_2647,i_0_2339,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_2016,i_0_1744,i_0_1579,i_0_2506,i_0_2482,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_480,i_0_600,i_0_531,i_0_223,i_0_206,i_0_2774,i_0_2789,i_0_204,i_0_1092,i_0_1018,i_0_2795,i_0_227,i_0_203,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_159,i_0_154,i_0_177]) ).
cnf(i_0_2814,plain,
~ r2_hidden(esk1_0,esk6_1(k1_zfmisc_1(k1_zfmisc_1(esk17_1(X1))))),
inference(scs_inference,[],[i_0_2703,i_0_936,i_0_1134,i_0_2786,i_0_1136,i_0_2649,i_0_2647,i_0_2339,i_0_2651,i_0_1700,i_0_2631,i_0_1248,i_0_2717,i_0_1923,i_0_2050,i_0_2094,i_0_1381,i_0_2016,i_0_1744,i_0_1579,i_0_2506,i_0_2482,i_0_1188,i_0_1066,i_0_1360,i_0_182,i_0_1349,i_0_690,i_0_480,i_0_600,i_0_531,i_0_223,i_0_206,i_0_2774,i_0_2789,i_0_204,i_0_1092,i_0_1018,i_0_2795,i_0_227,i_0_203,i_0_213,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_169,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_172,i_0_297,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258,i_0_288,i_0_159,i_0_154,i_0_177,i_0_421]) ).
cnf(i_0_2828,plain,
m1_subset_1(k7_relat_1(esk14_0,X1),k1_zfmisc_1(k7_relat_1(esk15_0,X1))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176]) ).
cnf(i_0_2830,plain,
m1_subset_1(esk22_1(esk22_1(esk19_1(esk18_0))),k1_zfmisc_1(esk22_1(esk19_1(esk18_0)))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186]) ).
cnf(i_0_2832,plain,
m1_subset_1(esk19_1(esk22_1(esk19_1(esk18_0))),k1_zfmisc_1(esk22_1(esk19_1(esk18_0)))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187]) ).
cnf(i_0_2834,plain,
m1_subset_1(esk13_1(esk22_1(esk19_1(esk18_0))),k1_zfmisc_1(esk22_1(esk19_1(esk18_0)))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188]) ).
cnf(i_0_2836,plain,
v1_finset_1(esk22_1(esk22_1(esk19_1(esk18_0)))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211]) ).
cnf(i_0_2838,plain,
v1_finset_1(esk19_1(esk22_1(esk19_1(esk18_0)))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212]) ).
cnf(i_0_2840,plain,
esk14_0 = k1_xboole_0,
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2175,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225]) ).
cnf(i_0_2842,plain,
~ r2_hidden(esk1_0,k1_zfmisc_1(esk17_1(X1))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185]) ).
cnf(i_0_2844,plain,
~ r2_hidden(esk1_0,esk25_2(esk1_0,k7_relat_1(esk17_1(X1),k1_relat_1(esk17_1(X1))))),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170]) ).
cnf(i_0_2846,plain,
r2_hidden(esk4_2(esk1_0,esk9_0),esk1_0),
inference(scs_inference,[],[i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166]) ).
cnf(i_0_2848,plain,
k1_funct_1(k1_closure3(esk15_0,X1),X2) = k1_funct_1(k1_closure3(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259]) ).
cnf(i_0_2849,plain,
k1_funct_1(X1,k1_closure3(esk15_0,X2)) = k1_funct_1(X1,k1_closure3(esk14_0,X2)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260]) ).
cnf(i_0_2850,plain,
k1_relat_1(k1_closure3(esk15_0,X1)) = k1_relat_1(k1_closure3(esk14_0,X1)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261]) ).
cnf(i_0_2851,plain,
esk8_3(k1_closure3(esk15_0,X1),X2,X3) = esk8_3(k1_closure3(esk14_0,X1),X2,X3),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262]) ).
cnf(i_0_2852,plain,
esk8_3(X1,k1_closure3(esk15_0,X2),X3) = esk8_3(X1,k1_closure3(esk14_0,X2),X3),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263]) ).
cnf(i_0_2853,plain,
esk8_3(X1,X2,k1_closure3(esk15_0,X3)) = esk8_3(X1,X2,k1_closure3(esk14_0,X3)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).
cnf(i_0_2854,plain,
esk7_3(k1_closure3(esk15_0,X1),X2,X3) = esk7_3(k1_closure3(esk14_0,X1),X2,X3),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265]) ).
cnf(i_0_2855,plain,
esk7_3(X1,k1_closure3(esk15_0,X2),X3) = esk7_3(X1,k1_closure3(esk14_0,X2),X3),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266]) ).
cnf(i_0_2856,plain,
esk7_3(X1,X2,k1_closure3(esk15_0,X3)) = esk7_3(X1,X2,k1_closure3(esk14_0,X3)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267]) ).
cnf(i_0_2857,plain,
a_2_0_closure3(k1_closure3(esk15_0,X1),X2) = a_2_0_closure3(k1_closure3(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268]) ).
cnf(i_0_2858,plain,
a_2_0_closure3(X1,k1_closure3(esk15_0,X2)) = a_2_0_closure3(X1,k1_closure3(esk14_0,X2)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269]) ).
cnf(i_0_2859,plain,
k1_funct_4(k1_closure3(esk15_0,X1),X2) = k1_funct_4(k1_closure3(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270]) ).
cnf(i_0_2860,plain,
k1_funct_4(X1,k1_closure3(esk15_0,X2)) = k1_funct_4(X1,k1_closure3(esk14_0,X2)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271]) ).
cnf(i_0_2861,plain,
k7_relat_1(k1_closure3(esk15_0,X1),X2) = k7_relat_1(k1_closure3(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272]) ).
cnf(i_0_2862,plain,
k7_relat_1(X1,k1_closure3(esk15_0,X2)) = k7_relat_1(X1,k1_closure3(esk14_0,X2)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273]) ).
cnf(i_0_2863,plain,
k1_closure3(k1_closure3(esk15_0,X1),X2) = k1_closure3(k1_closure3(esk14_0,X1),X2),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274]) ).
cnf(i_0_2864,plain,
k1_closure3(X1,k1_closure3(esk15_0,X2)) = k1_closure3(X1,k1_closure3(esk14_0,X2)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275]) ).
cnf(i_0_2865,plain,
k1_funct_4(esk16_1(esk10_0),esk16_1(esk10_0)) != k2_funcop_1(esk9_0,k1_xboole_0),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1830,i_0_1395,i_0_2748,i_0_2175,i_0_2778,i_0_607,i_0_253,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257]) ).
cnf(i_0_2872,plain,
~ m1_subset_1(esk1_0,k1_zfmisc_1(k1_relat_1(esk16_1(esk15_0)))),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1830,i_0_1395,i_0_2748,i_0_2175,i_0_2219,i_0_2778,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_183,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162]) ).
cnf(i_0_2874,plain,
r2_hidden(esk25_2(esk9_0,k1_zfmisc_1(X1)),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_938,i_0_2802,i_0_1830,i_0_1395,i_0_2748,i_0_2175,i_0_2219,i_0_2778,i_0_567,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_363,i_0_183,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162,i_0_155]) ).
cnf(i_0_2878,plain,
v1_pre_circ(k2_funcop_1(k7_relat_1(esk15_0,X1),k1_xboole_0),k7_relat_1(esk14_0,X1)),
inference(rename_variables,[],[i_0_2781]) ).
cnf(i_0_2881,plain,
m1_subset_1(esk6_1(k7_relat_1(esk15_0,X1)),k7_relat_1(esk14_0,X1)),
inference(rename_variables,[],[i_0_2783]) ).
cnf(i_0_2887,plain,
m1_pboole(esk5_1(k7_relat_1(esk15_0,X1)),k7_relat_1(esk14_0,X1)),
inference(rename_variables,[],[i_0_2788]) ).
cnf(i_0_2890,plain,
esk25_2(k1_zfmisc_1(esk9_0),esk9_0) != k1_zfmisc_1(X1),
inference(scs_inference,[],[i_0_938,i_0_2744,i_0_2802,i_0_2783,i_0_2788,i_0_2781,i_0_1830,i_0_1395,i_0_1856,i_0_2748,i_0_2449,i_0_2457,i_0_2879,i_0_2882,i_0_2175,i_0_2219,i_0_2778,i_0_2677,i_0_567,i_0_1866,i_0_1507,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_363,i_0_183,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281]) ).
cnf(i_0_2892,plain,
~ v1_xboole_0(k1_relat_1(esk16_1(esk22_1(esk19_1(esk18_0))))),
inference(scs_inference,[],[i_0_938,i_0_2744,i_0_2802,i_0_2783,i_0_2788,i_0_2781,i_0_1830,i_0_1395,i_0_1856,i_0_2748,i_0_2449,i_0_2457,i_0_2879,i_0_2882,i_0_2175,i_0_2219,i_0_2778,i_0_2677,i_0_567,i_0_1866,i_0_1507,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_363,i_0_183,i_0_1018,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276]) ).
cnf(i_0_2894,plain,
k1_zfmisc_1(X1) != k1_funct_4(k1_funct_4(esk17_1(X2),esk17_1(X2)),k1_funct_4(esk17_1(X2),esk17_1(X2))),
inference(scs_inference,[],[i_0_938,i_0_2744,i_0_2802,i_0_2783,i_0_2788,i_0_2781,i_0_1830,i_0_1395,i_0_1856,i_0_2748,i_0_2449,i_0_2457,i_0_2879,i_0_2882,i_0_2175,i_0_2219,i_0_2796,i_0_2778,i_0_2677,i_0_2891,i_0_567,i_0_1866,i_0_1507,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_363,i_0_183,i_0_1018,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282]) ).
cnf(i_0_2895,plain,
~ r2_hidden(X1,k1_funct_4(k1_funct_4(esk17_1(X2),esk17_1(X2)),k1_funct_4(esk17_1(X2),esk17_1(X2)))),
inference(rename_variables,[],[i_0_2796]) ).
cnf(i_0_2896,plain,
r1_tarski(k7_relat_1(esk14_0,X1),k7_relat_1(k1_xboole_0,X1)),
inference(scs_inference,[],[i_0_938,i_0_1135,i_0_2744,i_0_2802,i_0_2783,i_0_2788,i_0_2781,i_0_1830,i_0_1395,i_0_1856,i_0_2748,i_0_2449,i_0_2457,i_0_2879,i_0_2882,i_0_2175,i_0_2219,i_0_2796,i_0_2778,i_0_2677,i_0_2891,i_0_567,i_0_1866,i_0_1507,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_363,i_0_183,i_0_1018,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289]) ).
cnf(i_0_2898,plain,
k1_closure3(esk15_0,esk15_0) = k1_closure3(esk14_0,esk14_0),
inference(scs_inference,[],[i_0_938,i_0_939,i_0_1135,i_0_2744,i_0_2802,i_0_2783,i_0_2788,i_0_2781,i_0_1830,i_0_1395,i_0_1856,i_0_2748,i_0_2449,i_0_2457,i_0_2879,i_0_2882,i_0_2175,i_0_2219,i_0_2796,i_0_2778,i_0_2677,i_0_2891,i_0_567,i_0_1866,i_0_1507,i_0_2343,i_0_607,i_0_209,i_0_253,i_0_363,i_0_183,i_0_1018,i_0_200,i_0_201,i_0_202,i_0_181,i_0_176,i_0_186,i_0_187,i_0_188,i_0_211,i_0_212,i_0_225,i_0_185,i_0_170,i_0_166,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_265,i_0_266,i_0_267,i_0_268,i_0_269,i_0_270,i_0_271,i_0_272,i_0_273,i_0_274,i_0_275,i_0_257,i_0_296,i_0_172,i_0_162,i_0_155,i_0_293,i_0_287,i_0_286,i_0_285,i_0_284,i_0_281,i_0_276,i_0_282,i_0_289,i_0_258]) ).
cnf(i_0_2902,plain,
r1_tarski(k7_relat_1(esk14_0,X1),k7_relat_1(esk15_0,X1)),
inference(rename_variables,[],[i_0_2802]) ).
cnf(c_0_2865,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_225 ).
cnf(c_0_2866,plain,
esk14_0 = k1_xboole_0,
i_0_2840 ).
cnf(c_0_2867,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_152 ).
cnf(c_0_2868,plain,
( X1 = esk14_0
| ~ v1_xboole_0(X1) ),
inference(rw,[status(thm)],[c_0_2865,c_0_2866]) ).
cnf(c_0_2869,plain,
v1_xboole_0(esk15_0),
i_0_252 ).
cnf(c_0_2870,plain,
( X1 = k1_closure3(X2,X3)
| v1_xboole_0(X2)
| X1 != a_2_0_closure3(X2,X3)
| ~ m1_pboole(X3,X2) ),
i_0_160 ).
cnf(c_0_2871,plain,
( k1_funct_1(X1,X2) = esk14_0
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_2867,c_0_2866])]) ).
cnf(c_0_2872,plain,
esk14_0 = esk15_0,
inference(spm,[status(thm)],[c_0_2868,c_0_2869]) ).
cnf(c_0_2873,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_2870]) ).
cnf(c_0_2874,negated_conjecture,
m1_pboole(esk2_0,esk1_0),
i_0_217 ).
cnf(c_0_2875,negated_conjecture,
~ v1_xboole_0(esk1_0),
i_0_228 ).
cnf(c_0_2876,plain,
( k1_funct_1(X1,X2) = esk15_0
| r2_hidden(X2,a_2_0_closure3(X3,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,X3)
| ~ m1_pboole(X1,X3) ),
inference(rw,[status(thm)],[c_0_2871,c_0_2872]) ).
cnf(c_0_2877,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_2873,c_0_2874]),c_0_2875]) ).
cnf(c_0_2878,plain,
( m1_subset_1(esk7_3(X1,X2,X3),X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
i_0_145 ).
cnf(c_0_2879,plain,
( X1 = esk7_3(X1,X2,X3)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_2_0_closure3(X2,X3))
| ~ m1_pboole(X3,X2) ),
i_0_148 ).
cnf(c_0_2880,negated_conjecture,
( k1_funct_1(esk2_0,X1) = esk15_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_2876,c_0_2877]),c_0_2874])]),c_0_2875]) ).
cnf(c_0_2881,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_185 ).
cnf(c_0_2882,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_178 ).
cnf(c_0_2883,negated_conjecture,
( m1_subset_1(esk7_3(X1,esk1_0,esk2_0),esk1_0)
| ~ 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_2878,c_0_2877]),c_0_2874])]),c_0_2875]) ).
cnf(c_0_2884,negated_conjecture,
( esk7_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_2879,c_0_2877]),c_0_2874])]),c_0_2875]) ).
cnf(c_0_2885,plain,
( r2_hidden(esk4_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
i_0_166 ).
cnf(c_0_2886,plain,
( k1_funct_1(esk2_0,X1) = esk15_0
| r2_hidden(X1,k1_closure3(esk1_0,esk2_0))
| ~ r2_hidden(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_2880,c_0_2881]) ).
cnf(c_0_2887,plain,
( r2_hidden(esk7_3(X1,esk1_0,esk2_0),esk1_0)
| ~ r2_hidden(X1,k1_closure3(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2882,c_0_2883]),c_0_2875]) ).
cnf(c_0_2888,plain,
( esk7_3(esk4_2(k1_closure3(esk1_0,esk2_0),X1),esk1_0,esk2_0) = esk4_2(k1_closure3(esk1_0,esk2_0),X1)
| r1_tarski(k1_closure3(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_2884,c_0_2885]) ).
cnf(c_0_2889,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk4_2(X1,X2),X2) ),
i_0_156 ).
cnf(c_0_2890,plain,
( k1_funct_1(esk2_0,esk4_2(esk1_0,X1)) = esk15_0
| r1_tarski(esk1_0,X1)
| r2_hidden(esk4_2(esk1_0,X1),k1_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_2886,c_0_2885]) ).
cnf(c_0_2891,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
i_0_177 ).
cnf(c_0_2892,plain,
( v1_relat_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_196 ).
cnf(c_0_2893,plain,
( v1_funct_1(X1)
| ~ m1_pboole(X1,X2) ),
i_0_197 ).
cnf(c_0_2894,plain,
( r1_tarski(k1_closure3(esk1_0,esk2_0),X1)
| r2_hidden(esk4_2(k1_closure3(esk1_0,esk2_0),X1),esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2887,c_0_2888]),c_0_2885]) ).
cnf(c_0_2895,plain,
( ~ v2_relat_1(X1)
| ~ r2_hidden(X2,X3)
| ~ v1_xboole_0(k1_funct_1(X1,X2))
| ~ m1_pboole(X1,X3) ),
i_0_154 ).
cnf(c_0_2896,plain,
( k1_funct_1(esk2_0,esk4_2(esk1_0,k1_closure3(esk1_0,esk2_0))) = esk15_0
| r1_tarski(esk1_0,k1_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_2889,c_0_2890]) ).
cnf(c_0_2897,negated_conjecture,
v2_relat_1(esk2_0),
i_0_251 ).
cnf(c_0_2898,plain,
( k1_relat_1(X1) = X2
| ~ m1_pboole(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_2891,c_0_2892]),c_0_2893]) ).
cnf(c_0_2899,plain,
m1_pboole(k2_funcop_1(X1,k1_xboole_0),X1),
i_0_183 ).
cnf(c_0_2900,negated_conjecture,
esk2_0 != k1_funct_4(k2_funcop_1(esk1_0,k1_xboole_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))),
i_0_147 ).
cnf(c_0_2901,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
i_0_168 ).
cnf(c_0_2902,plain,
r1_tarski(k1_closure3(esk1_0,esk2_0),esk1_0),
inference(spm,[status(thm)],[c_0_2889,c_0_2894]) ).
cnf(c_0_2903,plain,
( r1_tarski(esk1_0,k1_closure3(esk1_0,esk2_0))
| ~ m1_pboole(esk2_0,X1)
| ~ r2_hidden(esk4_2(esk1_0,k1_closure3(esk1_0,esk2_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2895,c_0_2896]),c_0_2897]),c_0_2869])]) ).
cnf(c_0_2904,plain,
( k7_relat_1(X1,X2) = X1
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2) ),
i_0_167 ).
cnf(c_0_2905,negated_conjecture,
k1_relat_1(esk2_0) = esk1_0,
inference(spm,[status(thm)],[c_0_2898,c_0_2874]) ).
cnf(c_0_2906,negated_conjecture,
v1_relat_1(esk2_0),
inference(spm,[status(thm)],[c_0_2892,c_0_2874]) ).
cnf(c_0_2907,plain,
( v1_xboole_0(X1)
| k1_funct_4(X2,X3) = X3
| ~ m1_pboole(X2,X1)
| ~ m1_pboole(X3,X1) ),
i_0_161 ).
cnf(c_0_2908,plain,
m1_pboole(k2_funcop_1(X1,esk14_0),X1),
inference(rw,[status(thm)],[c_0_2899,c_0_2866]) ).
cnf(c_0_2909,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,esk14_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) != esk2_0,
inference(rw,[status(thm)],[c_0_2900,c_0_2866]) ).
cnf(c_0_2910,plain,
( k1_closure3(esk1_0,esk2_0) = esk1_0
| ~ r1_tarski(esk1_0,k1_closure3(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_2901,c_0_2902]) ).
cnf(c_0_2911,plain,
r1_tarski(esk1_0,k1_closure3(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2903,c_0_2885]),c_0_2874])]) ).
cnf(c_0_2912,negated_conjecture,
( k7_relat_1(esk2_0,X1) = esk2_0
| ~ r1_tarski(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2904,c_0_2905]),c_0_2906])]) ).
cnf(c_0_2913,plain,
r1_tarski(X1,X1),
i_0_213 ).
cnf(c_0_2914,negated_conjecture,
( k1_funct_4(X1,esk2_0) = esk2_0
| ~ m1_pboole(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2907,c_0_2874]),c_0_2875]) ).
cnf(c_0_2915,plain,
m1_pboole(k2_funcop_1(X1,esk15_0),X1),
inference(rw,[status(thm)],[c_0_2908,c_0_2872]) ).
cnf(c_0_2916,negated_conjecture,
k1_funct_4(k2_funcop_1(esk1_0,esk15_0),k7_relat_1(esk2_0,k1_closure3(esk1_0,esk2_0))) != esk2_0,
inference(rw,[status(thm)],[c_0_2909,c_0_2872]) ).
cnf(c_0_2917,plain,
k1_closure3(esk1_0,esk2_0) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2910,c_0_2911])]) ).
cnf(c_0_2918,plain,
k7_relat_1(esk2_0,esk1_0) = esk2_0,
inference(spm,[status(thm)],[c_0_2912,c_0_2913]) ).
cnf(c_0_2919,plain,
k1_funct_4(k2_funcop_1(esk1_0,esk15_0),esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_2914,c_0_2915]) ).
cnf(c_0_2920,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2916,c_0_2917]),c_0_2918]),c_0_2919])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ALG225+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 5 10:28:16 EDT 2026
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % start to proof: theBenchmark
% 178.24/123.63 % Version : CSE_E---1.7
% 178.24/123.63 % Problem : theBenchmark.p
% 178.24/123.63 % SZS status Theorem for theBenchmark.p
% 178.24/123.63 % SZS output start CNFRefutation
% See solution above
% 193.84/139.20 % Total time : 122.891s
%------------------------------------------------------------------------------