%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU435+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 : n023.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 05:12:20 PM UTC 2026
% Result : Theorem 0.30s 1.63s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 96)
% Comments :
%------------------------------------------------------------------------------
fof(t36_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_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(fraenkel_a_6_0_relset_2,axiom,
! [X1,X2,X3,X4,X5,X6,X7] :
( ( m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
& m1_subset_1(X7,k1_zfmisc_1(X5)) )
=> ( r2_hidden(X1,a_6_0_relset_2(X2,X3,X4,X5,X6,X7))
<=> ? [X8] :
( m1_subset_1(X8,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
& X1 = k8_relset_2(X5,X6,X7,X8)
& r2_hidden(X8,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_6_0_relset_2) ).
fof(s8_domain_1__e1_46__relset_2,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
& m1_subset_1(X6,k1_zfmisc_1(X4)) )
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).
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,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
=> ! [X4,X5,X6] :
( m1_subset_1(X6,k1_zfmisc_1(X4))
=> m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
inference(assume_negation,[status(cth)],[t36_relset_2]) ).
fof(i_0_45,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_46,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_47,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_48,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_49,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_relat_1(X1) ),
inference(fof_simplification,[status(thm)],[rc2_relat_1]) ).
fof(i_0_50,plain,
! [X173,X174,X175,X176,X177,X178,X179,X181] :
( ( m1_subset_1(esk11_7(X173,X174,X175,X176,X177,X178,X179),k1_zfmisc_1(k2_zfmisc_1(X177,X178)))
| ~ r2_hidden(X173,a_6_0_relset_2(X174,X175,X176,X177,X178,X179))
| ~ m1_subset_1(X176,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X174,X175))))
| ~ m1_subset_1(X179,k1_zfmisc_1(X177)) )
& ( X173 = k8_relset_2(X177,X178,X179,esk11_7(X173,X174,X175,X176,X177,X178,X179))
| ~ r2_hidden(X173,a_6_0_relset_2(X174,X175,X176,X177,X178,X179))
| ~ m1_subset_1(X176,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X174,X175))))
| ~ m1_subset_1(X179,k1_zfmisc_1(X177)) )
& ( r2_hidden(esk11_7(X173,X174,X175,X176,X177,X178,X179),X176)
| ~ r2_hidden(X173,a_6_0_relset_2(X174,X175,X176,X177,X178,X179))
| ~ m1_subset_1(X176,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X174,X175))))
| ~ m1_subset_1(X179,k1_zfmisc_1(X177)) )
& ( ~ m1_subset_1(X181,k1_zfmisc_1(k2_zfmisc_1(X177,X178)))
| X173 != k8_relset_2(X177,X178,X179,X181)
| ~ r2_hidden(X181,X176)
| r2_hidden(X173,a_6_0_relset_2(X174,X175,X176,X177,X178,X179))
| ~ m1_subset_1(X176,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X174,X175))))
| ~ m1_subset_1(X179,k1_zfmisc_1(X177)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fraenkel_a_6_0_relset_2])])])])]) ).
fof(i_0_51,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))))
& m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0))
& ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_44])])]) ).
fof(i_0_52,plain,
! [X207,X208,X209,X210,X211,X212] :
( ~ m1_subset_1(X209,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X207,X208))))
| ~ m1_subset_1(X212,k1_zfmisc_1(X210))
| m1_subset_1(a_6_0_relset_2(X207,X208,X209,X210,X211,X212),k1_zfmisc_1(k1_zfmisc_1(X211))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s8_domain_1__e1_46__relset_2])]) ).
fof(i_0_53,plain,
! [X133,X134,X135,X136] :
( ~ m1_subset_1(X135,k1_zfmisc_1(X133))
| ~ m1_subset_1(X136,k1_zfmisc_1(k2_zfmisc_1(X133,X134)))
| k7_relset_2(X133,X134,X135,X136) = k8_setfam_1(X134,k4_relset_2(k1_zfmisc_1(X133),X134,k6_relset_2(X134,X133,X136),k3_pua2mss1(X135))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relset_2])])]) ).
fof(i_0_54,plain,
! [X138,X139,X140,X141] :
( ~ m1_subset_1(X140,k1_zfmisc_1(k2_zfmisc_1(X138,k1_zfmisc_1(X139))))
| m1_subset_1(k4_relset_2(X138,X139,X140,X141),k1_zfmisc_1(k1_zfmisc_1(X139))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_2])]) ).
fof(i_0_55,plain,
! [X147,X148,X149,X150] :
( ~ m1_subset_1(X149,k1_zfmisc_1(X147))
| ~ m1_subset_1(X150,k1_zfmisc_1(k2_zfmisc_1(X147,X148)))
| m1_subset_1(k8_relset_2(X147,X148,X149,X150),k1_zfmisc_1(X148)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relset_2])]) ).
fof(i_0_56,plain,
! [X199,X200,X201,X202] :
( ~ m1_subset_1(X201,k1_zfmisc_1(X199))
| ~ m1_subset_1(X202,k1_zfmisc_1(k2_zfmisc_1(X199,X200)))
| k8_relset_2(X199,X200,X201,X202) = k7_relset_2(X199,X200,X201,X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_2])]) ).
fof(i_0_57,plain,
! [X192,X193,X194,X195] :
( ~ m1_subset_1(X194,k1_zfmisc_1(k2_zfmisc_1(X192,k1_zfmisc_1(X193))))
| k4_relset_2(X192,X193,X194,X195) = k9_relat_1(X194,X195) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_2])]) ).
fof(i_0_58,plain,
! [X144,X145,X146] :
( ( v1_funct_1(k6_relset_2(X144,X145,X146))
| ~ m1_subset_1(X146,k1_zfmisc_1(k2_zfmisc_1(X145,X144))) )
& ( v1_funct_2(k6_relset_2(X144,X145,X146),k1_zfmisc_1(X145),k1_zfmisc_1(X144))
| ~ m1_subset_1(X146,k1_zfmisc_1(k2_zfmisc_1(X145,X144))) )
& ( m2_relset_1(k6_relset_2(X144,X145,X146),k1_zfmisc_1(X145),k1_zfmisc_1(X144))
| ~ m1_subset_1(X146,k1_zfmisc_1(k2_zfmisc_1(X145,X144))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_2])])]) ).
fof(i_0_59,plain,
! [X196,X197,X198] :
( ~ m1_subset_1(X198,k1_zfmisc_1(k2_zfmisc_1(X197,X196)))
| k6_relset_2(X196,X197,X198) = k5_relset_2(X197,X198) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_2])]) ).
fof(i_0_60,plain,
! [X155,X156,X157] :
( ~ m2_relset_1(X157,X155,X156)
| m1_subset_1(X157,k1_zfmisc_1(k2_zfmisc_1(X155,X156))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(i_0_61,plain,
! [X203,X204,X205] :
( ( ~ m2_relset_1(X205,X203,X204)
| m1_relset_1(X205,X203,X204) )
& ( ~ m1_relset_1(X205,X203,X204)
| m2_relset_1(X205,X203,X204) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(i_0_62,plain,
! [X217,X218] :
( ( ~ r2_hidden(esk18_2(X217,X218),X217)
| ~ r2_hidden(esk18_2(X217,X218),X218)
| X217 = X218 )
& ( r2_hidden(esk18_2(X217,X218),X217)
| r2_hidden(esk18_2(X217,X218),X218)
| X217 = X218 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])]) ).
fof(i_0_63,plain,
! [X130,X131,X132] :
( ~ m1_subset_1(X132,k1_zfmisc_1(k2_zfmisc_1(X130,X131)))
| v1_relat_1(X132) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(i_0_64,plain,
! [X151,X152] :
( ~ m1_subset_1(X152,k1_zfmisc_1(k1_zfmisc_1(X151)))
| m1_subset_1(k8_setfam_1(X151,X152),k1_zfmisc_1(X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_setfam_1])]) ).
fof(i_0_65,plain,
! [X185,X186] :
( m1_relset_1(esk14_2(X185,X186),X185,X186)
& v1_relat_1(esk14_2(X185,X186))
& v1_funct_1(esk14_2(X185,X186)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_partfun1])]) ).
fof(i_0_66,plain,
! [X160,X161] : m1_relset_1(esk8_2(X160,X161),X160,X161),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_relset_1])]) ).
fof(i_0_67,plain,
! [X165,X166] : m2_relset_1(esk10_2(X165,X166),X165,X166),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m2_relset_1])]) ).
fof(i_0_68,plain,
! [X222,X223,X224] :
( ~ r2_hidden(X222,X223)
| ~ m1_subset_1(X223,k1_zfmisc_1(X224))
| m1_subset_1(X222,X224) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_69,plain,
! [X225,X226,X227] :
( ~ r2_hidden(X225,X226)
| ~ m1_subset_1(X226,k1_zfmisc_1(X227))
| ~ v1_xboole_0(X227) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_70,plain,
! [X171,X172] :
( v1_xboole_0(X171)
| v1_xboole_0(X172)
| ~ v1_xboole_0(k2_zfmisc_1(X171,X172)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_45])]) ).
fof(i_0_71,plain,
! [X153,X154] :
( ~ m1_eqrel_1(X154,X153)
| m1_subset_1(X154,k1_zfmisc_1(k1_zfmisc_1(X153))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_eqrel_1])]) ).
fof(i_0_72,plain,
! [X220,X221] :
( ( ~ m1_subset_1(X220,k1_zfmisc_1(X221))
| r1_tarski(X220,X221) )
& ( ~ r1_tarski(X220,X221)
| m1_subset_1(X220,k1_zfmisc_1(X221)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_73,plain,
! [X127,X128] :
( ~ r2_hidden(X127,X128)
| ~ r2_hidden(X128,X127) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])]) ).
fof(i_0_74,plain,
! [X215,X216] :
( ~ m1_subset_1(X215,X216)
| v1_xboole_0(X216)
| r2_hidden(X215,X216) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_75,plain,
! [X142,X143] :
( ( v1_relat_1(k5_relset_2(X142,X143))
| ~ v1_relat_1(X143) )
& ( v1_funct_1(k5_relset_2(X142,X143))
| ~ v1_relat_1(X143) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_2])])]) ).
fof(i_0_76,plain,
! [X213,X214] :
( ~ r2_hidden(X213,X214)
| m1_subset_1(X213,X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_77,plain,
! [X183] :
( ( m1_subset_1(esk13_1(X183),k1_zfmisc_1(X183))
| v1_xboole_0(X183) )
& ( ~ v1_xboole_0(esk13_1(X183))
| v1_xboole_0(X183) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_47])])])]) ).
fof(i_0_78,plain,
! [X169,X170] : v1_relat_1(k2_zfmisc_1(X169,X170)),
inference(variable_rename,[status(thm)],[fc1_sysrel]) ).
fof(i_0_79,plain,
! [X229,X230] :
( ~ r2_hidden(X229,X230)
| ~ v1_xboole_0(X230) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_80,plain,
! [X189] :
( m1_subset_1(esk16_1(X189),k1_zfmisc_1(X189))
& v1_xboole_0(esk16_1(X189)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_81,plain,
! [X158] : m1_eqrel_1(esk7_1(X158),X158),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_eqrel_1])]) ).
fof(i_0_82,plain,
! [X137] : m1_eqrel_1(k3_pua2mss1(X137),X137),
inference(variable_rename,[status(thm)],[dt_k3_pua2mss1]) ).
fof(i_0_83,plain,
! [X163] : m1_subset_1(esk9_1(X163),X163),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_84,plain,
! [X168] : ~ v1_xboole_0(k1_zfmisc_1(X168)),
inference(variable_rename,[status(thm)],[i_0_48]) ).
fof(i_0_85,plain,
! [X231,X232] :
( ~ v1_xboole_0(X231)
| X231 = X232
| ~ v1_xboole_0(X232) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_86,plain,
! [X206] : r1_tarski(X206,X206),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_87,plain,
! [X129] :
( ~ v1_xboole_0(X129)
| v1_relat_1(X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relat_1])]) ).
fof(i_0_88,plain,
! [X228] :
( ~ v1_xboole_0(X228)
| X228 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_89,plain,
( ~ v1_xboole_0(esk15_0)
& v1_relat_1(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_49])]) ).
fof(i_0_90,plain,
( v1_relat_1(esk17_0)
& v3_relat_1(esk17_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_relat_1])]) ).
fof(i_0_91,plain,
( v1_xboole_0(esk12_0)
& v1_relat_1(esk12_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
cnf(i_0_92,plain,
( X1 = k8_relset_2(X2,X3,X4,esk11_7(X1,X5,X6,X7,X2,X3,X4))
| ~ r2_hidden(X1,a_6_0_relset_2(X5,X6,X7,X2,X3,X4))
| ~ m1_subset_1(X7,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X5,X6))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_93,plain,
( m1_subset_1(esk11_7(X1,X2,X3,X4,X5,X6,X7),k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ r2_hidden(X1,a_6_0_relset_2(X2,X3,X4,X5,X6,X7))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X7,k1_zfmisc_1(X5)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_94,plain,
( r2_hidden(esk11_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ r2_hidden(X1,a_6_0_relset_2(X2,X3,X4,X5,X6,X7))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X7,k1_zfmisc_1(X5)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_95,negated_conjecture,
~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_96,plain,
( r2_hidden(X4,a_6_0_relset_2(X7,X8,X6,X2,X3,X5))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| X4 != k8_relset_2(X2,X3,X5,X1)
| ~ r2_hidden(X1,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X7,X8))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_97,plain,
( m1_subset_1(a_6_0_relset_2(X2,X3,X1,X5,X6,X4),k1_zfmisc_1(k1_zfmisc_1(X6)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X5)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_98,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_99,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_54]),
[final] ).
cnf(i_0_100,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_55]),
[final] ).
cnf(i_0_101,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_56]),
[final] ).
cnf(i_0_102,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_57]),
[final] ).
cnf(i_0_103,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_58]),
[final] ).
cnf(i_0_104,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_58]),
[final] ).
cnf(i_0_105,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_58]),
[final] ).
cnf(i_0_106,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_59]),
[final] ).
cnf(i_0_107,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_60]),
[final] ).
cnf(i_0_108,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_109,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_110,plain,
( X1 = X2
| ~ r2_hidden(esk18_2(X1,X2),X1)
| ~ r2_hidden(esk18_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_111,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_112,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_113,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_64]),
[final] ).
cnf(i_0_114,plain,
( r2_hidden(esk18_2(X1,X2),X1)
| r2_hidden(esk18_2(X1,X2),X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_115,plain,
m1_relset_1(esk14_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_116,plain,
m1_relset_1(esk8_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
m2_relset_1(esk10_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_118,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_68]),
[final] ).
cnf(i_0_119,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_120,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_121,plain,
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_eqrel_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_122,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_123,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_124,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_125,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_126,plain,
( v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_127,plain,
( v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_128,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_129,plain,
( m1_subset_1(esk13_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_130,plain,
v1_funct_1(esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_131,plain,
v1_relat_1(esk14_2(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_132,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_133,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_134,plain,
m1_subset_1(esk16_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_135,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_136,plain,
m1_eqrel_1(esk7_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_137,plain,
m1_eqrel_1(k3_pua2mss1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_138,plain,
m1_subset_1(esk9_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_139,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_140,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_141,negated_conjecture,
m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0)),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_142,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_143,plain,
( v1_relat_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_144,plain,
v1_xboole_0(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_145,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_146,plain,
~ v1_xboole_0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_147,plain,
v3_relat_1(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_148,plain,
v3_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_149,plain,
v1_relat_1(esk17_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_150,plain,
v1_relat_1(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_151,plain,
v1_relat_1(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_152,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_153,plain,
v1_relat_1(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_154,plain,
v1_xboole_0(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_155,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc4_relat_1]),
[final] ).
cnf(i_0_156,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc12_relat_1]),
[final] ).
cnf(i_0_157,axiom,
X1 = X1 ).
cnf(i_0_158,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_159,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_160,axiom,
( X1 != X2
| k8_relset_2(X1,X3,X4,X5) = k8_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_161,axiom,
( X1 != X2
| k8_relset_2(X3,X1,X4,X5) = k8_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_162,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X1,X5) = k8_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_163,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X5,X1) = k8_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| k5_relset_2(X1,X3) = k5_relset_2(X2,X3) ) ).
cnf(i_0_167,axiom,
( X1 != X2
| k5_relset_2(X3,X1) = k5_relset_2(X3,X2) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| k7_relset_2(X1,X3,X4,X5) = k7_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| k7_relset_2(X3,X1,X4,X5) = k7_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X1,X5) = k7_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X5,X1) = k7_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| k8_setfam_1(X1,X3) = k8_setfam_1(X2,X3) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| k8_setfam_1(X3,X1) = k8_setfam_1(X3,X2) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| k4_relset_2(X1,X3,X4,X5) = k4_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| k4_relset_2(X3,X1,X4,X5) = k4_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X1,X5) = k4_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X5,X1) = k4_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| k6_relset_2(X1,X3,X4) = k6_relset_2(X2,X3,X4) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| k6_relset_2(X3,X1,X4) = k6_relset_2(X3,X2,X4) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| k6_relset_2(X3,X4,X1) = k6_relset_2(X3,X4,X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ m1_eqrel_1(X1,X3)
| m1_eqrel_1(X2,X3) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ m1_eqrel_1(X3,X1)
| m1_eqrel_1(X3,X2) ) ).
cnf(i_0_157_001,axiom,
X1 = X1 ).
cnf(i_0_158_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_159_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_160_004,axiom,
( X1 != X2
| k8_relset_2(X1,X3,X4,X5) = k8_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_161_005,axiom,
( X1 != X2
| k8_relset_2(X3,X1,X4,X5) = k8_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_162_006,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X1,X5) = k8_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_163_007,axiom,
( X1 != X2
| k8_relset_2(X3,X4,X5,X1) = k8_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_164_008,axiom,
( X1 != X2
| k9_relat_1(X1,X3) = k9_relat_1(X2,X3) ) ).
cnf(i_0_165_009,axiom,
( X1 != X2
| k9_relat_1(X3,X1) = k9_relat_1(X3,X2) ) ).
cnf(i_0_166_010,axiom,
( X1 != X2
| k5_relset_2(X1,X3) = k5_relset_2(X2,X3) ) ).
cnf(i_0_167_011,axiom,
( X1 != X2
| k5_relset_2(X3,X1) = k5_relset_2(X3,X2) ) ).
cnf(i_0_168_012,axiom,
( X1 != X2
| k7_relset_2(X1,X3,X4,X5) = k7_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_169_013,axiom,
( X1 != X2
| k7_relset_2(X3,X1,X4,X5) = k7_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_170_014,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X1,X5) = k7_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_171_015,axiom,
( X1 != X2
| k7_relset_2(X3,X4,X5,X1) = k7_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_172_016,axiom,
( X1 != X2
| k8_setfam_1(X1,X3) = k8_setfam_1(X2,X3) ) ).
cnf(i_0_173_017,axiom,
( X1 != X2
| k8_setfam_1(X3,X1) = k8_setfam_1(X3,X2) ) ).
cnf(i_0_174_018,axiom,
( X1 != X2
| k4_relset_2(X1,X3,X4,X5) = k4_relset_2(X2,X3,X4,X5) ) ).
cnf(i_0_175_019,axiom,
( X1 != X2
| k4_relset_2(X3,X1,X4,X5) = k4_relset_2(X3,X2,X4,X5) ) ).
cnf(i_0_176_020,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X1,X5) = k4_relset_2(X3,X4,X2,X5) ) ).
cnf(i_0_177_021,axiom,
( X1 != X2
| k4_relset_2(X3,X4,X5,X1) = k4_relset_2(X3,X4,X5,X2) ) ).
cnf(i_0_178_022,axiom,
( X1 != X2
| k6_relset_2(X1,X3,X4) = k6_relset_2(X2,X3,X4) ) ).
cnf(i_0_179_023,axiom,
( X1 != X2
| k6_relset_2(X3,X1,X4) = k6_relset_2(X3,X2,X4) ) ).
cnf(i_0_180_024,axiom,
( X1 != X2
| k6_relset_2(X3,X4,X1) = k6_relset_2(X3,X4,X2) ) ).
cnf(i_0_181_025,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_182_026,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_183_027,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_184_028,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_185_029,axiom,
( X1 != X2
| ~ v3_relat_1(X1)
| v3_relat_1(X2) ) ).
cnf(i_0_186_030,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_187_031,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_188_032,axiom,
( X1 != X2
| ~ m2_relset_1(X1,X3,X4)
| m2_relset_1(X2,X3,X4) ) ).
cnf(i_0_189_033,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X1,X4)
| m2_relset_1(X3,X2,X4) ) ).
cnf(i_0_190_034,axiom,
( X1 != X2
| ~ m2_relset_1(X3,X4,X1)
| m2_relset_1(X3,X4,X2) ) ).
cnf(i_0_191_035,axiom,
( X1 != X2
| ~ v1_funct_2(X1,X3,X4)
| v1_funct_2(X2,X3,X4) ) ).
cnf(i_0_192_036,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X1,X4)
| v1_funct_2(X3,X2,X4) ) ).
cnf(i_0_193_037,axiom,
( X1 != X2
| ~ v1_funct_2(X3,X4,X1)
| v1_funct_2(X3,X4,X2) ) ).
cnf(i_0_194_038,axiom,
( X1 != X2
| ~ v1_funct_1(X1)
| v1_funct_1(X2) ) ).
cnf(i_0_195_039,axiom,
( X1 != X2
| ~ m1_relset_1(X1,X3,X4)
| m1_relset_1(X2,X3,X4) ) ).
cnf(i_0_196_040,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X1,X4)
| m1_relset_1(X3,X2,X4) ) ).
cnf(i_0_197_041,axiom,
( X1 != X2
| ~ m1_relset_1(X3,X4,X1)
| m1_relset_1(X3,X4,X2) ) ).
cnf(i_0_198_042,axiom,
( X1 != X2
| ~ v1_relat_1(X1)
| v1_relat_1(X2) ) ).
cnf(i_0_199_043,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_200_044,axiom,
( X1 != X2
| ~ m1_eqrel_1(X1,X3)
| m1_eqrel_1(X2,X3) ) ).
cnf(i_0_201_045,axiom,
( X1 != X2
| ~ m1_eqrel_1(X3,X1)
| m1_eqrel_1(X3,X2) ) ).
cnf(i_0_202,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r2_hidden(k8_relset_2(X4,X5,X3,X1),a_6_0_relset_2(X6,X7,X2,X4,X5,X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X4,X5)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X6,X7)))) ),
inference(equality_inference,[],[96]) ).
cnf(i_0_203,plain,
$false,
inference(scs_inference,[],[i_0_95,i_0_112,i_0_141,i_0_97]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU435+1 : TPTP v9.2.1. Released v3.4.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34 % Computer : n023.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 03:15:08 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.20/0.36 % start to proof: theBenchmark
% 0.30/1.63 % Version : CSE_E---1.7
% 0.30/1.63 % Problem : theBenchmark.p
% 0.30/1.63 % SZS status Theorem for theBenchmark.p
% 0.30/1.63 % SZS output start CNFRefutation
% See solution above
% 0.30/1.66 % Total time : 1.275s
%------------------------------------------------------------------------------