%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU441+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 : n031.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 05:12:22 PM UTC 2026
% Result : Theorem 246.37s 106.52s
% Output : CNFRefutation 257.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 93
% Syntax : Number of formulae : 427 ( 215 unt; 0 def)
% Number of atoms : 750 ( 147 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 609 ( 286 ~; 225 |; 52 &)
% ( 2 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-5 aty)
% Number of variables : 745 ( 67 sgn 215 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t53_relset_2,conjecture,
! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
& r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_relset_2) ).
fof(fc4_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
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(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(fc6_relat_1,axiom,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k2_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(fc5_relat_1,axiom,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
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_relat_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(dt_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(dt_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_relset_2) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(involutiveness_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(dt_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(redefinition_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k5_relset_1(X1,X2,X3) = k2_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t156_relat_1) ).
fof(t159_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t159_relat_1) ).
fof(existence_m1_relset_1,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(existence_m2_relset_1,axiom,
! [X1,X2] :
? [X3] : m2_relset_1(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
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(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(dt_k5_relat_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_relat_1(X2) )
=> v1_relat_1(k5_relat_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(fc9_relat_1,axiom,
! [X1,X2] :
( ( v1_xboole_0(X1)
& v1_relat_1(X2) )
=> ( v1_xboole_0(k5_relat_1(X1,X2))
& v1_relat_1(k5_relat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_relat_1) ).
fof(fc10_relat_1,axiom,
! [X1,X2] :
( ( v1_xboole_0(X1)
& v1_relat_1(X2) )
=> ( v1_xboole_0(k5_relat_1(X2,X1))
& v1_relat_1(k5_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_relat_1) ).
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(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(fc1_sysrel,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_sysrel) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
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(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(fc8_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k2_relat_1(X1))
& v1_relat_1(k2_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(fc7_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k1_relat_1(X1))
& v1_relat_1(k1_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(dt_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> v1_relat_1(k4_relat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(fc11_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_xboole_0(k4_relat_1(X1))
& v1_relat_1(k4_relat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_relat_1) ).
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(t21_funct_5,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k1_funct_5(X1) = k1_relat_1(X1)
& k2_funct_5(X1) = k2_relat_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_5) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_relat_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(fc12_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0)
& v3_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(fc4_relat_1,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_relat_1(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(i_0_51,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( m2_relset_1(X4,X1,X2)
=> ! [X5] :
( m2_relset_1(X5,X2,X3)
=> ( k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)) = k10_relset_1(X2,X3,X5,k2_funct_5(X4))
& r1_tarski(k2_funct_5(k9_relset_2(X1,X2,X3,X4,X5)),k2_funct_5(X5)) ) ) ),
inference(assume_negation,[status(cth)],[t53_relset_2]) ).
fof(i_0_52,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2) )
=> ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc4_subset_1]) ).
fof(i_0_53,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_54,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_55,plain,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k2_relat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc6_relat_1]) ).
fof(i_0_56,plain,
! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_relat_1(X1) )
=> ~ v1_xboole_0(k1_relat_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).
fof(i_0_57,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_58,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_59,negated_conjecture,
( m2_relset_1(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk5_0,esk2_0,esk3_0)
& ( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
| ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_51])])]) ).
fof(i_0_60,plain,
! [X142,X143,X144,X145,X146] :
( ~ m1_subset_1(X145,k1_zfmisc_1(k2_zfmisc_1(X142,X143)))
| ~ m1_subset_1(X146,k1_zfmisc_1(k2_zfmisc_1(X143,X144)))
| m2_relset_1(k9_relset_2(X142,X143,X144,X145,X146),X142,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
fof(i_0_61,plain,
! [X193,X194,X195,X196,X197] :
( ~ m1_subset_1(X196,k1_zfmisc_1(k2_zfmisc_1(X193,X194)))
| ~ m1_subset_1(X197,k1_zfmisc_1(k2_zfmisc_1(X194,X195)))
| k9_relset_2(X193,X194,X195,X196,X197) = k5_relat_1(X196,X197) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
fof(i_0_62,plain,
! [X129,X130,X131,X132] :
( ~ m1_relset_1(X131,X129,X130)
| m1_subset_1(k10_relset_1(X129,X130,X131,X132),k1_zfmisc_1(X130)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k10_relset_1])]) ).
fof(i_0_63,plain,
! [X218,X219,X220] :
( ( k1_funct_5(X220) = k10_relset_1(X218,X219,k6_relset_1(X219,X218,X220),X218)
| ~ m2_relset_1(X220,X219,X218) )
& ( k2_funct_5(X220) = k10_relset_1(X219,X218,X220,X219)
| ~ m2_relset_1(X220,X219,X218) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
fof(i_0_64,plain,
! [X183,X184,X185,X186] :
( ~ m1_relset_1(X185,X183,X184)
| k10_relset_1(X183,X184,X185,X186) = k9_relat_1(X185,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
fof(i_0_65,plain,
! [X173,X174,X175] :
( ~ m1_relset_1(X175,X173,X174)
| k6_relset_1(X173,X174,k6_relset_1(X173,X174,X175)) = X175 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k6_relset_1])]) ).
fof(i_0_66,plain,
! [X139,X140,X141] :
( ~ m1_relset_1(X141,X139,X140)
| m2_relset_1(k6_relset_1(X139,X140,X141),X140,X139) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
fof(i_0_67,plain,
! [X136,X137,X138] :
( ~ m1_relset_1(X138,X136,X137)
| m1_subset_1(k5_relset_1(X136,X137,X138),k1_zfmisc_1(X137)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_1])]) ).
fof(i_0_68,plain,
! [X147,X148,X149] :
( ~ m2_relset_1(X149,X147,X148)
| m1_subset_1(X149,k1_zfmisc_1(k2_zfmisc_1(X147,X148))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_69,plain,
! [X190,X191,X192] :
( ~ m1_relset_1(X192,X190,X191)
| k6_relset_1(X190,X191,X192) = k4_relat_1(X192) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
fof(i_0_70,plain,
! [X187,X188,X189] :
( ~ m1_relset_1(X189,X187,X188)
| k5_relset_1(X187,X188,X189) = k2_relat_1(X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])]) ).
fof(i_0_71,plain,
! [X198,X199,X200] :
( ( ~ m2_relset_1(X200,X198,X199)
| m1_relset_1(X200,X198,X199) )
& ( ~ m1_relset_1(X200,X198,X199)
| m2_relset_1(X200,X198,X199) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_72,plain,
! [X126,X127,X128] :
( ~ m1_subset_1(X128,k1_zfmisc_1(k2_zfmisc_1(X126,X127)))
| v1_relat_1(X128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(i_0_73,plain,
! [X202,X203,X204] :
( ~ v1_relat_1(X204)
| ~ r1_tarski(X202,X203)
| r1_tarski(k9_relat_1(X204,X202),k9_relat_1(X204,X203)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])]) ).
fof(i_0_74,plain,
! [X205,X206,X207] :
( ~ v1_relat_1(X206)
| ~ v1_relat_1(X207)
| k9_relat_1(k5_relat_1(X206,X207),X205) = k9_relat_1(X207,k9_relat_1(X206,X205)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])]) ).
fof(i_0_75,plain,
! [X150,X151] : m1_relset_1(esk6_2(X150,X151),X150,X151),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])]) ).
fof(i_0_76,plain,
! [X155,X156] : m2_relset_1(esk8_2(X155,X156),X155,X156),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])]) ).
fof(i_0_77,plain,
! [X215,X216,X217] :
( ~ r2_hidden(X215,X216)
| ~ m1_subset_1(X216,k1_zfmisc_1(X217))
| m1_subset_1(X215,X217) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_78,plain,
! [X221,X222,X223] :
( ~ r2_hidden(X221,X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(X223))
| ~ v1_xboole_0(X223) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_79,plain,
! [X164,X165] :
( v1_xboole_0(X164)
| v1_xboole_0(X165)
| ~ v1_xboole_0(k2_zfmisc_1(X164,X165)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_52])]) ).
fof(i_0_80,plain,
! [X213,X214] :
( ( ~ m1_subset_1(X213,k1_zfmisc_1(X214))
| r1_tarski(X213,X214) )
& ( ~ r1_tarski(X213,X214)
| m1_subset_1(X213,k1_zfmisc_1(X214)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_81,plain,
! [X123,X124] :
( ~ r2_hidden(X123,X124)
| ~ r2_hidden(X124,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_53])]) ).
fof(i_0_82,plain,
! [X134,X135] :
( ~ v1_relat_1(X134)
| ~ v1_relat_1(X135)
| v1_relat_1(k5_relat_1(X134,X135)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relat_1])]) ).
fof(i_0_83,plain,
! [X170,X171] :
( ( v1_xboole_0(k5_relat_1(X170,X171))
| ~ v1_xboole_0(X170)
| ~ v1_relat_1(X171) )
& ( v1_relat_1(k5_relat_1(X170,X171))
| ~ v1_xboole_0(X170)
| ~ v1_relat_1(X171) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc9_relat_1])])]) ).
fof(i_0_84,plain,
! [X158,X159] :
( ( v1_xboole_0(k5_relat_1(X159,X158))
| ~ v1_xboole_0(X158)
| ~ v1_relat_1(X159) )
& ( v1_relat_1(k5_relat_1(X159,X158))
| ~ v1_xboole_0(X158)
| ~ v1_relat_1(X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_relat_1])])]) ).
fof(i_0_85,plain,
! [X211,X212] :
( ~ m1_subset_1(X211,X212)
| v1_xboole_0(X212)
| r2_hidden(X211,X212) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_86,plain,
! [X208,X209] :
( ~ r2_hidden(X208,X209)
| m1_subset_1(X208,X209) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_87,plain,
! [X177] :
( ( m1_subset_1(esk10_1(X177),k1_zfmisc_1(X177))
| v1_xboole_0(X177) )
& ( ~ v1_xboole_0(esk10_1(X177))
| v1_xboole_0(X177) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_54])])])]) ).
fof(i_0_88,plain,
! [X162,X163] : v1_relat_1(k2_zfmisc_1(X162,X163)),
inference(variable_rename,[status(thm)],[fc1_sysrel]) ).
fof(i_0_89,plain,
! [X225,X226] :
( ~ r2_hidden(X225,X226)
| ~ v1_xboole_0(X226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_90,plain,
! [X167] :
( v1_xboole_0(X167)
| ~ v1_relat_1(X167)
| ~ v1_xboole_0(k2_relat_1(X167)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_55])]) ).
fof(i_0_91,plain,
! [X166] :
( v1_xboole_0(X166)
| ~ v1_relat_1(X166)
| ~ v1_xboole_0(k1_relat_1(X166)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_56])]) ).
fof(i_0_92,plain,
! [X180] :
( m1_subset_1(esk12_1(X180),k1_zfmisc_1(X180))
& v1_xboole_0(esk12_1(X180)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_93,plain,
! [X153] : m1_subset_1(esk7_1(X153),X153),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_94,plain,
! [X172] :
( ~ v1_relat_1(X172)
| k4_relat_1(k4_relat_1(X172)) = X172 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
fof(i_0_95,plain,
! [X169] :
( ( v1_xboole_0(k2_relat_1(X169))
| ~ v1_xboole_0(X169) )
& ( v1_relat_1(k2_relat_1(X169))
| ~ v1_xboole_0(X169) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_relat_1])])]) ).
fof(i_0_96,plain,
! [X168] :
( ( v1_xboole_0(k1_relat_1(X168))
| ~ v1_xboole_0(X168) )
& ( v1_relat_1(k1_relat_1(X168))
| ~ v1_xboole_0(X168) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_relat_1])])]) ).
fof(i_0_97,plain,
! [X133] :
( ~ v1_relat_1(X133)
| v1_relat_1(k4_relat_1(X133)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relat_1])]) ).
fof(i_0_98,plain,
! [X160] :
( ( v1_xboole_0(k4_relat_1(X160))
| ~ v1_xboole_0(X160) )
& ( v1_relat_1(k4_relat_1(X160))
| ~ v1_xboole_0(X160) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc11_relat_1])])]) ).
fof(i_0_99,plain,
! [X161] : ~ v1_xboole_0(k1_zfmisc_1(X161)),
inference(variable_rename,[status(thm)],[i_0_57]) ).
fof(i_0_100,plain,
! [X227,X228] :
( ~ v1_xboole_0(X227)
| X227 = X228
| ~ v1_xboole_0(X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_101,plain,
! [X210] :
( ( k1_funct_5(X210) = k1_relat_1(X210)
| ~ v1_relat_1(X210) )
& ( k2_funct_5(X210) = k2_relat_1(X210)
| ~ v1_relat_1(X210) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).
fof(i_0_102,plain,
! [X201] : r1_tarski(X201,X201),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_103,plain,
! [X125] :
( ~ v1_xboole_0(X125)
| v1_relat_1(X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_104,plain,
! [X224] :
( ~ v1_xboole_0(X224)
| X224 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_105,plain,
( ~ v1_xboole_0(esk11_0)
& v1_relat_1(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_58])]) ).
fof(i_0_106,plain,
( v1_relat_1(esk13_0)
& v3_relat_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_107,plain,
( v1_xboole_0(esk9_0)
& v1_relat_1(esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
cnf(i_0_108,negated_conjecture,
( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
| ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_109,plain,
( m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_110,plain,
( k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_111,plain,
( m1_subset_1(k10_relset_1(X2,X3,X1,X4),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_112,plain,
( k1_funct_5(X1) = k10_relset_1(X2,X3,k6_relset_1(X3,X2,X1),X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_113,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_114,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_115,plain,
( k6_relset_1(X2,X3,k6_relset_1(X2,X3,X1)) = X1
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_116,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
( m1_subset_1(k5_relset_1(X2,X3,X1),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_118,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_119,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_120,plain,
( k5_relset_1(X2,X3,X1) = k2_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_121,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_122,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_123,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_124,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_126,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_127,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_128,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_77]),
[final] ).
cnf(i_0_129,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_130,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_131,negated_conjecture,
m2_relset_1(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_132,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_133,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_134,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_135,plain,
( v1_relat_1(k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_136,plain,
( v1_relat_1(k5_relat_1(X1,X2))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_137,plain,
( v1_relat_1(k5_relat_1(X1,X2))
| ~ v1_xboole_0(X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_138,plain,
( v1_xboole_0(k5_relat_1(X1,X2))
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_139,plain,
( v1_xboole_0(k5_relat_1(X1,X2))
| ~ v1_xboole_0(X2)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_140,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_141,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_142,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_143,plain,
( m1_subset_1(esk10_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_144,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_145,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_146,plain,
( v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(k2_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_147,plain,
( v1_xboole_0(X1)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_148,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_149,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_150,plain,
m1_subset_1(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_151,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_152,plain,
( v1_relat_1(k2_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_153,plain,
( v1_relat_1(k1_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_154,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_155,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_156,plain,
( v1_xboole_0(k2_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_157,plain,
( v1_xboole_0(k1_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_158,plain,
( v1_xboole_0(k4_relat_1(X1))
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_159,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_160,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_161,plain,
( k1_funct_5(X1) = k1_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_162,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_163,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_164,plain,
( v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_165,plain,
v1_xboole_0(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_166,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_167,plain,
~ v1_xboole_0(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_168,plain,
v3_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_169,plain,
v3_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_170,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_171,plain,
v1_relat_1(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_172,plain,
v1_relat_1(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_173,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_174,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_175,plain,
v1_xboole_0(esk9_0),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_176,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_177,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_178,axiom,
X1 = X1 ).
cnf(i_0_179,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_180,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_181,axiom,
( X1 != X2
| k2_funct_5(X1) = k2_funct_5(X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| k5_relset_1(X1,X3,X4) = k5_relset_1(X2,X3,X4) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| k5_relset_1(X3,X1,X4) = k5_relset_1(X3,X2,X4) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| k5_relset_1(X3,X4,X1) = k5_relset_1(X3,X4,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| k4_relat_1(X1) = k4_relat_1(X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| k2_relat_1(X1) = k2_relat_1(X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| k1_relat_1(X1) = k1_relat_1(X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| k9_relset_2(X1,X3,X4,X5,X6) = k9_relset_2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| k9_relset_2(X3,X1,X4,X5,X6) = k9_relset_2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| k9_relset_2(X3,X4,X1,X5,X6) = k9_relset_2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| k9_relset_2(X3,X4,X5,X1,X6) = k9_relset_2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| k9_relset_2(X3,X4,X5,X6,X1) = k9_relset_2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| k10_relset_1(X1,X3,X4,X5) = k10_relset_1(X2,X3,X4,X5) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| k10_relset_1(X3,X1,X4,X5) = k10_relset_1(X3,X2,X4,X5) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| k10_relset_1(X3,X4,X1,X5) = k10_relset_1(X3,X4,X2,X5) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| k10_relset_1(X3,X4,X5,X1) = k10_relset_1(X3,X4,X5,X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| k5_relat_1(X1,X3) = k5_relat_1(X2,X3) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| k5_relat_1(X3,X1) = k5_relat_1(X3,X2) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| k1_funct_5(X1) = k1_funct_5(X2) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| k6_relset_1(X1,X3,X4) = k6_relset_1(X2,X3,X4) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| k6_relset_1(X3,X1,X4) = k6_relset_1(X3,X2,X4) ) ).
cnf(i_0_202,axiom,
( X1 != X2
| k6_relset_1(X3,X4,X1) = k6_relset_1(X3,X4,X2) ) ).
cnf(i_0_203,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_204,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_205,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_206,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_207,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_208,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_209,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_210,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_211,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_212,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_213,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_214,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_215,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_216,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_217,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_218,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_219,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_220,plain,
m1_relset_1(esk5_0,esk2_0,esk3_0),
inference(scs_inference,[],[i_0_131,i_0_121]) ).
cnf(i_0_222,plain,
r1_tarski(esk12_1(X1),X1),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_121,i_0_133]) ).
cnf(i_0_224,plain,
m2_relset_1(esk6_2(X1,X2),X1,X2),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_121,i_0_133,i_0_122]) ).
cnf(i_0_226,plain,
v1_relat_1(esk12_1(k2_zfmisc_1(X1,X2))),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_121,i_0_133,i_0_122,i_0_123]) ).
cnf(i_0_227,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_229,plain,
~ r2_hidden(X1,esk9_0),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_175,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145]) ).
cnf(i_0_231,plain,
v1_relat_1(esk12_1(X1)),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_175,i_0_165,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145,i_0_164]) ).
cnf(i_0_233,plain,
esk9_0 != esk11_0,
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_167,i_0_175,i_0_165,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145,i_0_164,i_0_218]) ).
cnf(i_0_235,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_238,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_251,plain,
m1_relset_1(esk4_0,esk1_0,esk2_0),
inference(scs_inference,[],[i_0_132,i_0_121]) ).
cnf(i_0_253,plain,
r1_tarski(esk7_1(k1_zfmisc_1(X1)),X1),
inference(scs_inference,[],[i_0_132,i_0_150,i_0_121,i_0_133]) ).
cnf(i_0_254,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_257,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_262,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_265,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_273,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_281,plain,
m1_relset_1(esk8_2(X1,X2),X1,X2),
inference(scs_inference,[],[i_0_127,i_0_121]) ).
cnf(i_0_283,plain,
~ r2_hidden(X1,esk12_1(X2)),
inference(scs_inference,[],[i_0_165,i_0_127,i_0_121,i_0_145]) ).
cnf(i_0_285,plain,
r2_hidden(esk7_1(k1_zfmisc_1(X1)),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_165,i_0_127,i_0_150,i_0_159,i_0_121,i_0_145,i_0_141]) ).
cnf(i_0_286,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_289,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_300,plain,
~ r2_hidden(X1,esk7_1(k1_zfmisc_1(esk9_0))),
inference(scs_inference,[],[i_0_175,i_0_150,i_0_129]) ).
cnf(i_0_301,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_303,plain,
esk12_1(X1) != esk11_0,
inference(scs_inference,[],[i_0_175,i_0_165,i_0_150,i_0_167,i_0_129,i_0_218]) ).
cnf(i_0_308,plain,
k1_xboole_0 != k1_zfmisc_1(X1),
inference(scs_inference,[],[i_0_177,i_0_159,i_0_218]) ).
cnf(i_0_325,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_328,plain,
esk9_0 != k1_zfmisc_1(X1),
inference(scs_inference,[],[i_0_175,i_0_159,i_0_218]) ).
cnf(i_0_329,plain,
m2_relset_1(k9_relset_2(X1,X1,X1,esk12_1(k2_zfmisc_1(X1,X1)),esk12_1(k2_zfmisc_1(X1,X1))),X1,X1),
inference(scs_inference,[],[i_0_148,i_0_109]) ).
cnf(i_0_330,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_331,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_333,plain,
m1_relset_1(k9_relset_2(X1,X1,X1,esk12_1(k2_zfmisc_1(X1,X1)),esk12_1(k2_zfmisc_1(X1,X1))),X1,X1),
inference(scs_inference,[],[i_0_148,i_0_109,i_0_121]) ).
cnf(i_0_385,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_387,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_391,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_411,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_543,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_546,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_587,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_676,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_679,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_705,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_711,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_713,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_720,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_825,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_828,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_833,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_944,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_953,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_960,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1193,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1195,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_1347,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_1349,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1436,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_1439,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_1498,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1512,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1514,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_1562,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_1565,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_1570,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1572,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1614,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1621,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1623,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1630,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1632,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_1716,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1721,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1723,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1781,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1786,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1788,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1797,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1799,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_1841,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1843,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1868,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1907,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_1913,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1915,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_1923,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2028,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2030,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2034,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_2036,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2086,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2088,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2116,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2123,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2134,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_2139,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2141,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2147,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_2152,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_2220,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2222,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_2232,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_2264,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_2278,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2281,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2309,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_2311,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_2362,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_2364,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_2373,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_2471,plain,
r1_tarski(X1,X1),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_2494,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_2500,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_2532,plain,
m1_subset_1(esk7_1(X1),X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_234,plain,
~ r2_hidden(X1,esk12_1(esk9_0)),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_227,i_0_167,i_0_175,i_0_165,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145,i_0_164,i_0_218,i_0_129]) ).
cnf(i_0_237,plain,
r2_hidden(esk12_1(X1),k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_227,i_0_235,i_0_167,i_0_175,i_0_159,i_0_165,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145,i_0_164,i_0_218,i_0_129,i_0_141]) ).
cnf(i_0_240,plain,
~ r2_hidden(k1_zfmisc_1(X1),esk12_1(X1)),
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_227,i_0_235,i_0_167,i_0_175,i_0_159,i_0_165,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145,i_0_164,i_0_218,i_0_129,i_0_141,i_0_134]) ).
cnf(i_0_243,plain,
k1_zfmisc_1(X1) != esk9_0,
inference(scs_inference,[],[i_0_131,i_0_126,i_0_148,i_0_227,i_0_235,i_0_167,i_0_170,i_0_175,i_0_159,i_0_165,i_0_121,i_0_133,i_0_122,i_0_123,i_0_145,i_0_164,i_0_218,i_0_129,i_0_141,i_0_134,i_0_215,i_0_217]) ).
cnf(i_0_256,plain,
v1_relat_1(esk7_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),
inference(scs_inference,[],[i_0_132,i_0_150,i_0_254,i_0_121,i_0_133,i_0_123]) ).
cnf(i_0_259,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_132,i_0_150,i_0_254,i_0_177,i_0_121,i_0_133,i_0_123,i_0_145]) ).
cnf(i_0_261,plain,
~ r2_hidden(X1,esk7_1(k1_zfmisc_1(k1_xboole_0))),
inference(scs_inference,[],[i_0_132,i_0_150,i_0_254,i_0_257,i_0_177,i_0_121,i_0_133,i_0_123,i_0_145,i_0_129]) ).
cnf(i_0_264,plain,
r2_hidden(esk7_1(esk11_0),esk11_0),
inference(scs_inference,[],[i_0_132,i_0_150,i_0_254,i_0_257,i_0_262,i_0_177,i_0_167,i_0_121,i_0_133,i_0_123,i_0_145,i_0_129,i_0_141]) ).
cnf(i_0_288,plain,
~ r2_hidden(X1,esk7_1(k1_zfmisc_1(esk12_1(X2)))),
inference(scs_inference,[],[i_0_165,i_0_127,i_0_150,i_0_286,i_0_159,i_0_121,i_0_145,i_0_141,i_0_129]) ).
cnf(i_0_310,plain,
~ r2_hidden(X1,esk12_1(X2)),
inference(rename_variables,[],[i_0_283]) ).
cnf(i_0_318,plain,
~ r2_hidden(X1,esk7_1(k1_zfmisc_1(esk9_0))),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_335,plain,
esk11_0 != esk9_0,
inference(scs_inference,[],[i_0_233,i_0_179]) ).
cnf(i_0_336,plain,
~ v1_xboole_0(esk10_1(k1_zfmisc_1(X1))),
inference(scs_inference,[],[i_0_233,i_0_159,i_0_179,i_0_149]) ).
cnf(i_0_338,plain,
v1_relat_1(k2_relat_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_233,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152]) ).
cnf(i_0_340,plain,
v1_relat_1(k1_relat_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_233,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153]) ).
cnf(i_0_342,plain,
v1_relat_1(k4_relat_1(esk13_0)),
inference(scs_inference,[],[i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154]) ).
cnf(i_0_344,plain,
v1_relat_1(k4_relat_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155]) ).
cnf(i_0_346,plain,
v1_xboole_0(k2_relat_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156]) ).
cnf(i_0_348,plain,
v1_xboole_0(k1_relat_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157]) ).
cnf(i_0_350,plain,
v1_xboole_0(k4_relat_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158]) ).
cnf(i_0_352,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(scs_inference,[],[i_0_163,i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140]) ).
cnf(i_0_354,plain,
m1_subset_1(esk10_1(k1_zfmisc_1(X1)),k1_zfmisc_1(k1_zfmisc_1(X1))),
inference(scs_inference,[],[i_0_163,i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143]) ).
cnf(i_0_356,plain,
k1_funct_5(esk13_0) = k1_relat_1(esk13_0),
inference(scs_inference,[],[i_0_163,i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161]) ).
cnf(i_0_358,plain,
k2_funct_5(esk13_0) = k2_relat_1(esk13_0),
inference(scs_inference,[],[i_0_163,i_0_233,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162]) ).
cnf(i_0_360,plain,
m2_relset_1(k6_relset_1(X1,X2,esk8_2(X1,X2)),X2,X1),
inference(scs_inference,[],[i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116]) ).
cnf(i_0_362,plain,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118]) ).
cnf(i_0_364,plain,
m1_subset_1(k5_relset_1(X1,X2,esk8_2(X1,X2)),k1_zfmisc_1(X2)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117]) ).
cnf(i_0_366,plain,
k6_relset_1(X1,X2,esk8_2(X1,X2)) = k4_relat_1(esk8_2(X1,X2)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119]) ).
cnf(i_0_368,plain,
k5_relset_1(X1,X2,esk8_2(X1,X2)) = k2_relat_1(esk8_2(X1,X2)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120]) ).
cnf(i_0_370,plain,
m1_subset_1(k10_relset_1(X1,X2,esk8_2(X1,X2),X3),k1_zfmisc_1(X2)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111]) ).
cnf(i_0_372,plain,
k2_funct_5(esk4_0) = k10_relset_1(esk1_0,esk2_0,esk4_0,esk1_0),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114]) ).
cnf(i_0_374,plain,
k10_relset_1(X1,X2,esk8_2(X1,X2),X3) = k9_relat_1(esk8_2(X1,X2),X3),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113]) ).
cnf(i_0_376,plain,
k6_relset_1(X1,X2,k6_relset_1(X1,X2,esk8_2(X1,X2))) = esk8_2(X1,X2),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115]) ).
cnf(i_0_378,plain,
k1_funct_5(esk4_0) = k10_relset_1(esk2_0,esk1_0,k6_relset_1(esk1_0,esk2_0,esk4_0),esk2_0),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112]) ).
cnf(i_0_380,plain,
esk12_1(X1) = k1_xboole_0,
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166]) ).
cnf(i_0_382,plain,
k4_relat_1(k4_relat_1(esk13_0)) = esk13_0,
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151]) ).
cnf(i_0_384,plain,
r1_tarski(k1_relat_1(esk13_0),k1_funct_5(esk13_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205]) ).
cnf(i_0_386,plain,
r1_tarski(k1_funct_5(esk13_0),k1_relat_1(esk13_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206]) ).
cnf(i_0_388,plain,
m2_relset_1(k4_relat_1(esk8_2(X1,X2)),X2,X1),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207]) ).
cnf(i_0_389,plain,
m1_subset_1(k1_relat_1(esk13_0),k1_zfmisc_1(k1_funct_5(esk13_0))),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210]) ).
cnf(i_0_390,plain,
m1_subset_1(esk7_1(k1_funct_5(esk13_0)),k1_relat_1(esk13_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_150,i_0_177,i_0_159,i_0_165,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211]) ).
cnf(i_0_392,plain,
~ v1_xboole_0(k2_relat_1(esk11_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146]) ).
cnf(i_0_394,plain,
~ v1_xboole_0(k1_relat_1(esk11_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147]) ).
cnf(i_0_396,plain,
~ v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X1),k1_zfmisc_1(X1))),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130]) ).
cnf(i_0_398,plain,
v1_relat_1(k5_relat_1(esk13_0,esk13_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130,i_0_135]) ).
cnf(i_0_400,plain,
v1_relat_1(k5_relat_1(k1_xboole_0,esk13_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130,i_0_135,i_0_136]) ).
cnf(i_0_402,plain,
v1_relat_1(k5_relat_1(esk13_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130,i_0_135,i_0_136,i_0_137]) ).
cnf(i_0_404,plain,
v1_xboole_0(k5_relat_1(k1_xboole_0,esk13_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130,i_0_135,i_0_136,i_0_137,i_0_138]) ).
cnf(i_0_406,plain,
v1_xboole_0(k5_relat_1(esk13_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130,i_0_135,i_0_136,i_0_137,i_0_138,i_0_139]) ).
cnf(i_0_408,plain,
k9_relat_1(k5_relat_1(esk13_0,esk13_0),X1) = k9_relat_1(esk13_0,k9_relat_1(esk13_0,X1)),
inference(scs_inference,[],[i_0_132,i_0_163,i_0_385,i_0_233,i_0_281,i_0_170,i_0_171,i_0_150,i_0_177,i_0_159,i_0_165,i_0_167,i_0_179,i_0_149,i_0_152,i_0_153,i_0_154,i_0_155,i_0_156,i_0_157,i_0_158,i_0_140,i_0_143,i_0_161,i_0_162,i_0_116,i_0_118,i_0_117,i_0_119,i_0_120,i_0_111,i_0_114,i_0_113,i_0_115,i_0_112,i_0_166,i_0_151,i_0_205,i_0_206,i_0_207,i_0_210,i_0_211,i_0_146,i_0_147,i_0_130,i_0_135,i_0_136,i_0_137,i_0_138,i_0_139,i_0_125]) ).
cnf(c_0_392,plain,
( m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_109 ).
cnf(c_0_393,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_110 ).
cnf(c_0_394,plain,
( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X5,X4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(spm,[status(thm)],[c_0_392,c_0_393]) ).
cnf(c_0_395,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_118 ).
cnf(c_0_396,plain,
( m2_relset_1(k5_relat_1(X1,X2),X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m2_relset_1(X2,X5,X4) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_397,plain,
m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
i_0_362 ).
cnf(c_0_398,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_114 ).
cnf(c_0_399,plain,
( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_113 ).
cnf(c_0_400,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
i_0_122 ).
cnf(c_0_401,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_121 ).
cnf(c_0_402,plain,
( m2_relset_1(k5_relat_1(esk4_0,X1),esk1_0,X2)
| ~ m2_relset_1(X1,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_403,plain,
( k9_relat_1(X1,X2) = k2_funct_5(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_400]) ).
cnf(c_0_404,plain,
( m1_relset_1(k5_relat_1(esk4_0,X1),esk1_0,X2)
| ~ m2_relset_1(X1,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
cnf(c_0_405,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_123 ).
cnf(c_0_406,plain,
( k9_relat_1(k5_relat_1(esk4_0,X1),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,X1))
| ~ m2_relset_1(X1,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_407,negated_conjecture,
m2_relset_1(esk5_0,esk2_0,esk3_0),
i_0_131 ).
cnf(c_0_408,plain,
k2_funct_5(esk4_0) = k10_relset_1(esk1_0,esk2_0,esk4_0,esk1_0),
i_0_372 ).
cnf(c_0_409,plain,
m1_relset_1(esk4_0,esk1_0,esk2_0),
i_0_251 ).
cnf(c_0_410,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_405,c_0_395]) ).
cnf(c_0_411,negated_conjecture,
( k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
| ~ r1_tarski(k2_funct_5(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
i_0_108 ).
cnf(c_0_412,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
i_0_162 ).
cnf(c_0_413,plain,
m1_relset_1(esk5_0,esk2_0,esk3_0),
i_0_220 ).
cnf(c_0_414,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
i_0_125 ).
cnf(c_0_415,negated_conjecture,
k9_relat_1(k5_relat_1(esk4_0,esk5_0),esk1_0) = k2_funct_5(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_416,plain,
k9_relat_1(esk4_0,esk1_0) = k2_funct_5(esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_399]),c_0_409])]) ).
cnf(c_0_417,negated_conjecture,
v1_relat_1(esk5_0),
inference(spm,[status(thm)],[c_0_410,c_0_407]) ).
cnf(c_0_418,plain,
v1_relat_1(esk4_0),
inference(spm,[status(thm)],[c_0_405,c_0_397]) ).
cnf(c_0_419,plain,
( v1_relat_1(k5_relat_1(esk4_0,X1))
| ~ m2_relset_1(X1,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_410,c_0_402]) ).
cnf(c_0_420,plain,
( m1_subset_1(k10_relset_1(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_relset_1(X3,X1,X2) ),
i_0_111 ).
cnf(c_0_421,plain,
( k2_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)) != k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0))
| ~ v1_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))
| ~ r1_tarski(k2_relat_1(k9_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_422,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
i_0_124 ).
cnf(c_0_423,plain,
k9_relat_1(esk5_0,esk2_0) = k2_funct_5(esk5_0),
inference(spm,[status(thm)],[c_0_403,c_0_413]) ).
cnf(c_0_424,plain,
k2_funct_5(k5_relat_1(esk4_0,esk5_0)) = k9_relat_1(esk5_0,k2_funct_5(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_416]),c_0_417]),c_0_418])]) ).
cnf(c_0_425,negated_conjecture,
v1_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_419,c_0_407]) ).
cnf(c_0_426,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_133 ).
cnf(c_0_427,plain,
m1_subset_1(k2_funct_5(esk4_0),k1_zfmisc_1(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_408]),c_0_409])]) ).
cnf(c_0_428,plain,
( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_relat_1(k5_relat_1(esk4_0,esk5_0))
| ~ v1_relat_1(k5_relat_1(esk4_0,esk5_0))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ r1_tarski(k2_relat_1(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_393]),c_0_397])]) ).
cnf(c_0_429,plain,
( r1_tarski(k9_relat_1(esk5_0,X1),k2_funct_5(esk5_0))
| ~ r1_tarski(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_423]),c_0_417])]) ).
cnf(c_0_430,plain,
k9_relat_1(esk5_0,k2_funct_5(esk4_0)) = k2_relat_1(k5_relat_1(esk4_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_424]),c_0_425])]) ).
cnf(c_0_431,plain,
r1_tarski(k2_funct_5(esk4_0),esk2_0),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_432,plain,
( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_relat_1(k5_relat_1(esk4_0,esk5_0))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0)))
| ~ r1_tarski(k2_relat_1(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_425])]) ).
cnf(c_0_433,plain,
r1_tarski(k2_relat_1(k5_relat_1(esk4_0,esk5_0)),k2_funct_5(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_431])]) ).
cnf(c_0_434,plain,
( k10_relset_1(esk2_0,esk3_0,esk5_0,k2_funct_5(esk4_0)) != k2_relat_1(k5_relat_1(esk4_0,esk5_0))
| ~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_433])]) ).
cnf(c_0_435,plain,
~ m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_399]),c_0_430]),c_0_413])]) ).
cnf(c_0_436,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_395]),c_0_407])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU441+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n031.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 03:18:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 246.37/106.52 % Version : CSE_E---1.7
% 246.37/106.52 % Problem : theBenchmark.p
% 246.37/106.52 % SZS status Theorem for theBenchmark.p
% 246.37/106.52 % SZS output start CNFRefutation
% See solution above
% 257.47/117.64 % Total time : 104.445s
%------------------------------------------------------------------------------