%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU429+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 05:12:18 PM UTC 2026
% Result : Theorem 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 98)
% Comments :
%------------------------------------------------------------------------------
fof(fraenkel_a_4_1_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X5,X2,X3) )
=> ( r2_hidden(X1,a_4_1_relset_2(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X2))
& X1 = k8_relset_2(X2,X3,X6,X5)
& r2_hidden(X6,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_4_1_relset_2) ).
fof(t28_relset_2,conjecture,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_relset_2) ).
fof(s8_domain_1__e1_38__relset_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_38__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/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(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/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc2_relat_1,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(d4_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> k7_relset_2(X1,X2,X3,X4) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,X4),k3_pua2mss1(X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relset_2) ).
fof(dt_k4_relset_2,axiom,
! [X1,X2,X3,X4] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
=> m1_subset_1(k4_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_2) ).
fof(dt_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(redefinition_k8_relset_2,axiom,
! [X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k8_relset_2(X1,X2,X3,X4) = k7_relset_2(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(redefinition_k4_relset_2,axiom,
! [X1,X2,X3,X4] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
=> k4_relset_2(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(dt_k6_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
=> ( v1_funct_1(k6_relset_2(X1,X2,X3))
& v1_funct_2(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
& m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(redefinition_k6_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
=> k6_relset_2(X1,X2,X3) = k5_relset_2(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_m2_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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(t2_tarski,axiom,
! [X1,X2] :
( ! [X3] :
( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_k8_setfam_1,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(rc2_partfun1,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(existence_m1_relset_1,axiom,
! [X1,X2] :
? [X3] : m1_relset_1(X3,X1,X2),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(dt_m1_eqrel_1,axiom,
! [X1,X2] :
( m1_eqrel_1(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_eqrel_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(dt_k5_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( v1_relat_1(k5_relset_2(X1,X2))
& v1_funct_1(k5_relset_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(fc1_sysrel,axiom,
! [X1,X2] : v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_sysrel) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(existence_m1_eqrel_1,axiom,
! [X1] :
? [X2] : m1_eqrel_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_eqrel_1) ).
fof(dt_k3_pua2mss1,axiom,
! [X1] : m1_eqrel_1(k3_pua2mss1(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_pua2mss1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(cc1_relat_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_relat_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(rc3_relat_1,axiom,
? [X1] :
( v1_relat_1(X1)
& v3_relat_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(rc1_relat_1,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(i_0_44,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X5,X2,X3) )
=> ( r2_hidden(X1,a_4_1_relset_2(X2,X3,X4,X5))
<=> ? [X6] :
( m1_subset_1(X6,k1_zfmisc_1(X2))
& X1 = k8_relset_2(X2,X3,X6,X5)
& r2_hidden(X6,X4) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_4_1_relset_2]) ).
fof(i_0_45,negated_conjecture,
~ ! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X4] :
( m2_relset_1(X4,X1,X2)
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_relset_2])]) ).
fof(i_0_46,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X4,X1,X2) )
=> m1_subset_1(a_4_1_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(fof_simplification,[status(thm)],[s8_domain_1__e1_38__relset_2]) ).
fof(i_0_47,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_48,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_49,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_50,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_51,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_52,plain,
! [X163,X164,X165,X166,X167,X169] :
( ( m1_subset_1(esk9_5(X163,X164,X165,X166,X167),k1_zfmisc_1(X164))
| ~ r2_hidden(X163,a_4_1_relset_2(X164,X165,X166,X167))
| v1_xboole_0(X164)
| ~ m1_subset_1(X166,k1_zfmisc_1(k1_zfmisc_1(X164)))
| ~ m2_relset_1(X167,X164,X165) )
& ( X163 = k8_relset_2(X164,X165,esk9_5(X163,X164,X165,X166,X167),X167)
| ~ r2_hidden(X163,a_4_1_relset_2(X164,X165,X166,X167))
| v1_xboole_0(X164)
| ~ m1_subset_1(X166,k1_zfmisc_1(k1_zfmisc_1(X164)))
| ~ m2_relset_1(X167,X164,X165) )
& ( r2_hidden(esk9_5(X163,X164,X165,X166,X167),X166)
| ~ r2_hidden(X163,a_4_1_relset_2(X164,X165,X166,X167))
| v1_xboole_0(X164)
| ~ m1_subset_1(X166,k1_zfmisc_1(k1_zfmisc_1(X164)))
| ~ m2_relset_1(X167,X164,X165) )
& ( ~ m1_subset_1(X169,k1_zfmisc_1(X164))
| X163 != k8_relset_2(X164,X165,X169,X167)
| ~ r2_hidden(X169,X166)
| r2_hidden(X163,a_4_1_relset_2(X164,X165,X166,X167))
| v1_xboole_0(X164)
| ~ m1_subset_1(X166,k1_zfmisc_1(k1_zfmisc_1(X164)))
| ~ m2_relset_1(X167,X164,X165) ) ),
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_44])])])])]) ).
fof(i_0_53,plain,
! [X123,X124,X125,X126] :
( ~ m1_subset_1(X125,k1_zfmisc_1(X123))
| ~ m1_subset_1(X126,k1_zfmisc_1(k2_zfmisc_1(X123,X124)))
| k7_relset_2(X123,X124,X125,X126) = k8_setfam_1(X124,k4_relset_2(k1_zfmisc_1(X123),X124,k6_relset_2(X124,X123,X126),k3_pua2mss1(X125))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relset_2])])]) ).
fof(i_0_54,negated_conjecture,
( ~ v1_xboole_0(esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0)))
& m2_relset_1(esk4_0,esk1_0,esk2_0)
& ~ m1_subset_1(a_4_1_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_45])])]) ).
fof(i_0_55,plain,
! [X128,X129,X130,X131] :
( ~ m1_subset_1(X130,k1_zfmisc_1(k2_zfmisc_1(X128,k1_zfmisc_1(X129))))
| m1_subset_1(k4_relset_2(X128,X129,X130,X131),k1_zfmisc_1(k1_zfmisc_1(X129))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_2])]) ).
fof(i_0_56,plain,
! [X195,X196,X197,X198] :
( v1_xboole_0(X195)
| ~ m1_subset_1(X197,k1_zfmisc_1(k1_zfmisc_1(X195)))
| ~ m2_relset_1(X198,X195,X196)
| m1_subset_1(a_4_1_relset_2(X195,X196,X197,X198),k1_zfmisc_1(k1_zfmisc_1(X196))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])]) ).
fof(i_0_57,plain,
! [X137,X138,X139,X140] :
( ~ m1_subset_1(X139,k1_zfmisc_1(X137))
| ~ m1_subset_1(X140,k1_zfmisc_1(k2_zfmisc_1(X137,X138)))
| m1_subset_1(k8_relset_2(X137,X138,X139,X140),k1_zfmisc_1(X138)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
fof(i_0_58,plain,
! [X187,X188,X189,X190] :
( ~ m1_subset_1(X189,k1_zfmisc_1(X187))
| ~ m1_subset_1(X190,k1_zfmisc_1(k2_zfmisc_1(X187,X188)))
| k8_relset_2(X187,X188,X189,X190) = k7_relset_2(X187,X188,X189,X190) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_2])]) ).
fof(i_0_59,plain,
! [X180,X181,X182,X183] :
( ~ m1_subset_1(X182,k1_zfmisc_1(k2_zfmisc_1(X180,k1_zfmisc_1(X181))))
| k4_relset_2(X180,X181,X182,X183) = k9_relat_1(X182,X183) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_2])]) ).
fof(i_0_60,plain,
! [X134,X135,X136] :
( ( v1_funct_1(k6_relset_2(X134,X135,X136))
| ~ m1_subset_1(X136,k1_zfmisc_1(k2_zfmisc_1(X135,X134))) )
& ( v1_funct_2(k6_relset_2(X134,X135,X136),k1_zfmisc_1(X135),k1_zfmisc_1(X134))
| ~ m1_subset_1(X136,k1_zfmisc_1(k2_zfmisc_1(X135,X134))) )
& ( m2_relset_1(k6_relset_2(X134,X135,X136),k1_zfmisc_1(X135),k1_zfmisc_1(X134))
| ~ m1_subset_1(X136,k1_zfmisc_1(k2_zfmisc_1(X135,X134))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_2])])]) ).
fof(i_0_61,plain,
! [X184,X185,X186] :
( ~ m1_subset_1(X186,k1_zfmisc_1(k2_zfmisc_1(X185,X184)))
| k6_relset_2(X184,X185,X186) = k5_relset_2(X185,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_2])]) ).
fof(i_0_62,plain,
! [X145,X146,X147] :
( ~ m2_relset_1(X147,X145,X146)
| m1_subset_1(X147,k1_zfmisc_1(k2_zfmisc_1(X145,X146))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_63,plain,
! [X191,X192,X193] :
( ( ~ m2_relset_1(X193,X191,X192)
| m1_relset_1(X193,X191,X192) )
& ( ~ m1_relset_1(X193,X191,X192)
| m2_relset_1(X193,X191,X192) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_64,plain,
! [X203,X204] :
( ( ~ r2_hidden(esk16_2(X203,X204),X203)
| ~ r2_hidden(esk16_2(X203,X204),X204)
| X203 = X204 )
& ( r2_hidden(esk16_2(X203,X204),X203)
| r2_hidden(esk16_2(X203,X204),X204)
| X203 = X204 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_65,plain,
! [X120,X121,X122] :
( ~ m1_subset_1(X122,k1_zfmisc_1(k2_zfmisc_1(X120,X121)))
| v1_relat_1(X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(i_0_66,plain,
! [X141,X142] :
( ~ m1_subset_1(X142,k1_zfmisc_1(k1_zfmisc_1(X141)))
| m1_subset_1(k8_setfam_1(X141,X142),k1_zfmisc_1(X141)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_setfam_1])]) ).
fof(i_0_67,plain,
! [X173,X174] :
( m1_relset_1(esk12_2(X173,X174),X173,X174)
& v1_relat_1(esk12_2(X173,X174))
& v1_funct_1(esk12_2(X173,X174)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_partfun1])]) ).
fof(i_0_68,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_69,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_70,plain,
! [X208,X209,X210] :
( ~ r2_hidden(X208,X209)
| ~ m1_subset_1(X209,k1_zfmisc_1(X210))
| m1_subset_1(X208,X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_71,plain,
! [X211,X212,X213] :
( ~ r2_hidden(X211,X212)
| ~ m1_subset_1(X212,k1_zfmisc_1(X213))
| ~ v1_xboole_0(X213) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_72,plain,
! [X161,X162] :
( v1_xboole_0(X161)
| v1_xboole_0(X162)
| ~ v1_xboole_0(k2_zfmisc_1(X161,X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_47])]) ).
fof(i_0_73,plain,
! [X143,X144] :
( ~ m1_eqrel_1(X144,X143)
| m1_subset_1(X144,k1_zfmisc_1(k1_zfmisc_1(X143))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_eqrel_1])]) ).
fof(i_0_74,plain,
! [X206,X207] :
( ( ~ m1_subset_1(X206,k1_zfmisc_1(X207))
| r1_tarski(X206,X207) )
& ( ~ r1_tarski(X206,X207)
| m1_subset_1(X206,k1_zfmisc_1(X207)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_75,plain,
! [X117,X118] :
( ~ r2_hidden(X117,X118)
| ~ r2_hidden(X118,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_48])]) ).
fof(i_0_76,plain,
! [X201,X202] :
( ~ m1_subset_1(X201,X202)
| v1_xboole_0(X202)
| r2_hidden(X201,X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_77,plain,
! [X132,X133] :
( ( v1_relat_1(k5_relset_2(X132,X133))
| ~ v1_relat_1(X133) )
& ( v1_funct_1(k5_relset_2(X132,X133))
| ~ v1_relat_1(X133) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_2])])]) ).
fof(i_0_78,plain,
! [X199,X200] :
( ~ r2_hidden(X199,X200)
| m1_subset_1(X199,X200) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_79,plain,
! [X171] :
( ( m1_subset_1(esk11_1(X171),k1_zfmisc_1(X171))
| v1_xboole_0(X171) )
& ( ~ v1_xboole_0(esk11_1(X171))
| v1_xboole_0(X171) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])])])]) ).
fof(i_0_80,plain,
! [X159,X160] : v1_relat_1(k2_zfmisc_1(X159,X160)),
inference(variable_rename,[status(thm)],[fc1_sysrel]) ).
fof(i_0_81,plain,
! [X215,X216] :
( ~ r2_hidden(X215,X216)
| ~ v1_xboole_0(X216) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_82,plain,
! [X177] :
( m1_subset_1(esk14_1(X177),k1_zfmisc_1(X177))
& v1_xboole_0(esk14_1(X177)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_83,plain,
! [X148] : m1_eqrel_1(esk5_1(X148),X148),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_eqrel_1])]) ).
fof(i_0_84,plain,
! [X127] : m1_eqrel_1(k3_pua2mss1(X127),X127),
inference(variable_rename,[status(thm)],[dt_k3_pua2mss1]) ).
fof(i_0_85,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_86,plain,
! [X158] : ~ v1_xboole_0(k1_zfmisc_1(X158)),
inference(variable_rename,[status(thm)],[i_0_50]) ).
fof(i_0_87,plain,
! [X217,X218] :
( ~ v1_xboole_0(X217)
| X217 = X218
| ~ v1_xboole_0(X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_88,plain,
! [X194] : r1_tarski(X194,X194),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_89,plain,
! [X119] :
( ~ v1_xboole_0(X119)
| v1_relat_1(X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_90,plain,
! [X214] :
( ~ v1_xboole_0(X214)
| X214 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_91,plain,
( ~ v1_xboole_0(esk13_0)
& v1_relat_1(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_51])]) ).
fof(i_0_92,plain,
( v1_relat_1(esk15_0)
& v3_relat_1(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_93,plain,
( v1_xboole_0(esk10_0)
& v1_relat_1(esk10_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
cnf(i_0_94,plain,
( X1 = k8_relset_2(X2,X3,esk9_5(X1,X2,X3,X4,X5),X5)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_4_1_relset_2(X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m2_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_95,plain,
( m1_subset_1(esk9_5(X1,X2,X3,X4,X5),k1_zfmisc_1(X2))
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_4_1_relset_2(X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m2_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_96,plain,
( r2_hidden(esk9_5(X1,X2,X3,X4,X5),X4)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,a_4_1_relset_2(X2,X3,X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m2_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_97,plain,
( k7_relset_2(X2,X4,X1,X3) = k8_setfam_1(X4,k4_relset_2(k1_zfmisc_1(X2),X4,k6_relset_2(X4,X2,X3),k3_pua2mss1(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_98,plain,
( r2_hidden(X3,a_4_1_relset_2(X2,X4,X6,X5))
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| X3 != k8_relset_2(X2,X4,X1,X5)
| ~ r2_hidden(X1,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m2_relset_1(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_99,negated_conjecture,
~ m1_subset_1(a_4_1_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_100,plain,
( m1_subset_1(k4_relset_2(X2,X3,X1,X4),k1_zfmisc_1(k1_zfmisc_1(X3)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_101,plain,
( v1_xboole_0(X1)
| m1_subset_1(a_4_1_relset_2(X1,X4,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_102,plain,
( m1_subset_1(k8_relset_2(X2,X4,X1,X3),k1_zfmisc_1(X4))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_103,plain,
( k8_relset_2(X2,X4,X1,X3) = k7_relset_2(X2,X4,X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4))) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_104,plain,
( k4_relset_2(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_105,plain,
( v1_funct_2(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_106,plain,
( m2_relset_1(k6_relset_2(X1,X2,X3),k1_zfmisc_1(X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_107,plain,
( v1_funct_1(k6_relset_2(X1,X2,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_108,plain,
( k6_relset_2(X3,X2,X1) = k5_relset_2(X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_109,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_62]),
[final] ).
cnf(i_0_110,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_111,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_112,plain,
( X1 = X2
| ~ r2_hidden(esk16_2(X1,X2),X1)
| ~ r2_hidden(esk16_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_113,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_114,plain,
( m1_subset_1(k8_setfam_1(X2,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_115,plain,
( r2_hidden(esk16_2(X1,X2),X1)
| r2_hidden(esk16_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_116,plain,
m1_relset_1(esk12_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_117,plain,
m1_relset_1(esk6_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_118,plain,
m2_relset_1(esk8_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_119,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_70]),
[final] ).
cnf(i_0_120,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_121,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_122,plain,
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_eqrel_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_123,negated_conjecture,
m2_relset_1(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_124,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_125,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_126,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_127,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_128,plain,
( v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_129,plain,
( v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_130,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_131,plain,
( m1_subset_1(esk11_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_132,plain,
v1_funct_1(esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_133,plain,
v1_relat_1(esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_134,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_135,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_136,plain,
m1_subset_1(esk14_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_137,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(esk1_0))),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_138,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_139,plain,
m1_eqrel_1(esk5_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_140,plain,
m1_eqrel_1(k3_pua2mss1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_141,plain,
m1_subset_1(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_142,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_143,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_144,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_145,plain,
( v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_146,plain,
v1_xboole_0(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_147,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_148,plain,
~ v1_xboole_0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_149,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_150,plain,
v3_relat_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_151,plain,
v3_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_152,plain,
v1_relat_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_153,plain,
v1_relat_1(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_154,plain,
v1_relat_1(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_155,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_156,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_157,plain,
v1_xboole_0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_158,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_159,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_160,axiom,
X1 = X1 ).
cnf(i_0_161,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_162,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_163,axiom,
( X1 != X2
| k8_relset_2(X1,X3,X4,X5) = k8_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| k8_relset_2(X3,X1,X4,X5) = k8_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X1,X5) = k8_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X5,X1) = k8_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_167,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| k5_relset_2(X1,X3) = k5_relset_2(X2,X3) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| k5_relset_2(X3,X1) = k5_relset_2(X3,X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| k7_relset_2(X1,X3,X4,X5) = k7_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| k7_relset_2(X3,X1,X4,X5) = k7_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X1,X5) = k7_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X5,X1) = k7_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| k8_setfam_1(X1,X3) = k8_setfam_1(X2,X3) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| k8_setfam_1(X3,X1) = k8_setfam_1(X3,X2) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| k4_relset_2(X1,X3,X4,X5) = k4_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| k4_relset_2(X3,X1,X4,X5) = k4_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X1,X5) = k4_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X5,X1) = k4_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| k6_relset_2(X1,X3,X4) = k6_relset_2(X2,X3,X4) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| k6_relset_2(X3,X1,X4) = k6_relset_2(X3,X2,X4) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| k6_relset_2(X3,X4,X1) = k6_relset_2(X3,X4,X2) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_202,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_203,axiom,
( X1 != X2
| ~ m1_eqrel_1(X1,X3)
| m1_eqrel_1(X2,X3) ) ).
cnf(i_0_204,axiom,
( X1 != X2
| ~ m1_eqrel_1(X3,X1)
| m1_eqrel_1(X3,X2) ) ).
cnf(i_0_160_001,axiom,
X1 = X1 ).
cnf(i_0_161_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_162_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_163_004,axiom,
( X1 != X2
| k8_relset_2(X1,X3,X4,X5) = k8_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_164_005,axiom,
( X1 != X2
| k8_relset_2(X3,X1,X4,X5) = k8_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_165_006,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X1,X5) = k8_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_166_007,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X5,X1) = k8_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_167_008,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_168_009,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_169_010,axiom,
( X1 != X2
| k5_relset_2(X1,X3) = k5_relset_2(X2,X3) ) ).
cnf(i_0_170_011,axiom,
( X1 != X2
| k5_relset_2(X3,X1) = k5_relset_2(X3,X2) ) ).
cnf(i_0_171_012,axiom,
( X1 != X2
| k7_relset_2(X1,X3,X4,X5) = k7_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_172_013,axiom,
( X1 != X2
| k7_relset_2(X3,X1,X4,X5) = k7_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_173_014,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X1,X5) = k7_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_174_015,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X5,X1) = k7_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_175_016,axiom,
( X1 != X2
| k8_setfam_1(X1,X3) = k8_setfam_1(X2,X3) ) ).
cnf(i_0_176_017,axiom,
( X1 != X2
| k8_setfam_1(X3,X1) = k8_setfam_1(X3,X2) ) ).
cnf(i_0_177_018,axiom,
( X1 != X2
| k4_relset_2(X1,X3,X4,X5) = k4_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_178_019,axiom,
( X1 != X2
| k4_relset_2(X3,X1,X4,X5) = k4_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_179_020,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X1,X5) = k4_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_180_021,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X5,X1) = k4_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_181_022,axiom,
( X1 != X2
| k6_relset_2(X1,X3,X4) = k6_relset_2(X2,X3,X4) ) ).
cnf(i_0_182_023,axiom,
( X1 != X2
| k6_relset_2(X3,X1,X4) = k6_relset_2(X3,X2,X4) ) ).
cnf(i_0_183_024,axiom,
( X1 != X2
| k6_relset_2(X3,X4,X1) = k6_relset_2(X3,X4,X2) ) ).
cnf(i_0_184_025,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_185_026,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_186_027,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_187_028,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_188_029,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_189_030,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_190_031,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_191_032,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_192_033,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_193_034,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_194_035,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_195_036,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_196_037,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_197_038,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_198_039,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_199_040,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_200_041,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_201_042,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_202_043,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_203_044,axiom,
( X1 != X2
| ~ m1_eqrel_1(X1,X3)
| m1_eqrel_1(X2,X3) ) ).
cnf(i_0_204_045,axiom,
( X1 != X2
| ~ m1_eqrel_1(X3,X1)
| m1_eqrel_1(X3,X2) ) ).
cnf(i_0_205,plain,
( v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m2_relset_1(X4,X1,X5)
| r2_hidden(k8_relset_2(X1,X5,X2,X4),a_4_1_relset_2(X1,X5,X3,X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(equality_inference,[],[98]) ).
cnf(i_0_206,plain,
$false,
inference(scs_inference,[],[i_0_149,i_0_99,i_0_137,i_0_123,i_0_101]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU429+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n014.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 03:11:21 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Theorem for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.63 % Total time : 1.270s
%------------------------------------------------------------------------------