TSTP Solution File: TOP036+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP036+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Fri Sep 1 05:54:06 EDT 2023
% Result : Theorem 1.79s 1.87s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 115
% Syntax : Number of formulae : 252 ( 46 unt; 84 typ; 0 def)
% Number of atoms : 585 ( 91 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 673 ( 256 ~; 249 |; 117 &)
% ( 4 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 119 ( 76 >; 43 *; 0 +; 0 <<)
% Number of predicates : 45 ( 43 usr; 1 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 8 con; 0-4 aty)
% Number of variables : 260 ( 4 sgn; 167 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v2_pre_topc: $i > $o ).
tff(decl_24,type,
l1_pre_topc: $i > $o ).
tff(decl_25,type,
v2_tsp_2: ( $i * $i ) > $o ).
tff(decl_26,type,
m2_tsp_1: ( $i * $i ) > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
k3_tsp_2: ( $i * $i ) > $i ).
tff(decl_30,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_31,type,
k4_pre_topc: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
k4_tex_4: ( $i * $i ) > $i ).
tff(decl_33,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_34,type,
v1_membered: $i > $o ).
tff(decl_35,type,
v1_xcmplx_0: $i > $o ).
tff(decl_36,type,
v1_tdlat_3: $i > $o ).
tff(decl_37,type,
v2_t_0topsp: $i > $o ).
tff(decl_38,type,
v3_realset2: $i > $o ).
tff(decl_39,type,
v2_tdlat_3: $i > $o ).
tff(decl_40,type,
v3_tdlat_3: $i > $o ).
tff(decl_41,type,
m1_pre_topc: ( $i * $i ) > $o ).
tff(decl_42,type,
v2_tex_2: ( $i * $i ) > $o ).
tff(decl_43,type,
v1_borsuk_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v2_membered: $i > $o ).
tff(decl_45,type,
v1_xreal_0: $i > $o ).
tff(decl_46,type,
v3_membered: $i > $o ).
tff(decl_47,type,
v1_rat_1: $i > $o ).
tff(decl_48,type,
v4_membered: $i > $o ).
tff(decl_49,type,
v1_int_1: $i > $o ).
tff(decl_50,type,
v5_membered: $i > $o ).
tff(decl_51,type,
v4_ordinal2: $i > $o ).
tff(decl_52,type,
v1_xboole_0: $i > $o ).
tff(decl_53,type,
k1_zfmisc_1: $i > $i ).
tff(decl_54,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_55,type,
v1_relat_1: $i > $o ).
tff(decl_56,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_57,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_58,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_59,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_60,type,
v1_tex_3: ( $i * $i ) > $o ).
tff(decl_61,type,
v1_tsep_1: ( $i * $i ) > $o ).
tff(decl_62,type,
v4_tdlat_3: $i > $o ).
tff(decl_63,type,
v5_tdlat_3: $i > $o ).
tff(decl_64,type,
l1_struct_0: $i > $o ).
tff(decl_65,type,
k1_tsp_2: ( $i * $i ) > $i ).
tff(decl_66,type,
v1_funct_1: $i > $o ).
tff(decl_67,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
v5_pre_topc: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
k2_pre_topc: $i > $i ).
tff(decl_71,type,
k2_tex_4: ( $i * $i ) > $i ).
tff(decl_72,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
k5_pre_topc: ( $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
k1_tarski: $i > $i ).
tff(decl_76,type,
k1_xboole_0: $i ).
tff(decl_77,type,
v1_tops_1: ( $i * $i ) > $o ).
tff(decl_78,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_79,type,
k10_relat_1: ( $i * $i ) > $i ).
tff(decl_80,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_81,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_82,type,
k1_relat_1: $i > $i ).
tff(decl_83,type,
k2_relat_1: $i > $i ).
tff(decl_84,type,
esk1_0: $i ).
tff(decl_85,type,
esk2_0: $i ).
tff(decl_86,type,
esk3_0: $i ).
tff(decl_87,type,
esk4_0: $i ).
tff(decl_88,type,
esk5_0: $i ).
tff(decl_89,type,
esk6_1: $i > $i ).
tff(decl_90,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk8_1: $i > $i ).
tff(decl_92,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk10_1: $i > $i ).
tff(decl_94,type,
esk11_0: $i ).
tff(decl_95,type,
esk12_1: $i > $i ).
tff(decl_96,type,
esk13_1: $i > $i ).
tff(decl_97,type,
esk14_1: $i > $i ).
tff(decl_98,type,
esk15_1: $i > $i ).
tff(decl_99,type,
esk16_0: $i ).
tff(decl_100,type,
esk17_1: $i > $i ).
tff(decl_101,type,
esk18_1: $i > $i ).
tff(decl_102,type,
esk19_1: $i > $i ).
tff(decl_103,type,
esk20_1: $i > $i ).
tff(decl_104,type,
esk21_1: $i > $i ).
tff(decl_105,type,
esk22_1: $i > $i ).
fof(redefinition_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(t28_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X1,X3)) = k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k4_tex_4(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_tsp_2) ).
fof(dt_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k1_struct_0(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_struct_0) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(dt_k3_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k3_tsp_2(X1,X2))
& v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k3_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tsp_2) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_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(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
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(fc2_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_subset_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(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(redefinition_k5_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(t51_tops_2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_struct_0(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( k1_relat_1(X3) = k2_pre_topc(X1)
& r1_tarski(k2_relat_1(X3),k2_pre_topc(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_2) ).
fof(t27_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X3))) = k4_tex_4(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_tsp_2) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
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(t152_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ~ ( X1 != k1_xboole_0
& r1_tarski(X1,k1_relat_1(X2))
& k9_relat_1(X2,X1) = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_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(dt_k2_tex_4,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k2_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_tex_4) ).
fof(redefinition_k4_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k4_tex_4(X1,X2) = k2_tex_4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(t117_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(X2))
=> k9_relat_1(X2,k1_tarski(X1)) = k1_tarski(k1_funct_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
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(t39_zfmisc_1,axiom,
! [X1,X2] :
( r1_tarski(X1,k1_tarski(X2))
<=> ( X1 = k1_xboole_0
| X1 = k1_tarski(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(t145_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> r1_tarski(k9_relat_1(X2,k10_relat_1(X2,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t145_funct_1) ).
fof(t12_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> k2_pre_topc(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(dt_k4_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tex_4) ).
fof(c_0_31,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0]) ).
fof(c_0_32,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X1,X3)) = k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k4_tex_4(X1,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_tsp_2])]) ).
fof(c_0_33,plain,
! [X169,X170] :
( v3_struct_0(X169)
| ~ l1_struct_0(X169)
| ~ m1_subset_1(X170,u1_struct_0(X169))
| k1_struct_0(X169,X170) = k1_tarski(X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_34,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk1_0,esk3_0)) != k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_35,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k1_struct_0(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k1_struct_0]) ).
cnf(c_0_36,plain,
( v3_struct_0(X1)
| k1_struct_0(X1,X2) = k1_tarski(X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_39,plain,
! [X111] :
( ~ l1_pre_topc(X111)
| l1_struct_0(X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_40,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k3_tsp_2(X1,X2))
& v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k3_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_tsp_2]) ).
fof(c_0_41,plain,
! [X190,X191] :
( ( ~ m2_tsp_1(X191,X190)
| m1_pre_topc(X191,X190)
| ~ l1_pre_topc(X190) )
& ( ~ m1_pre_topc(X191,X190)
| m2_tsp_1(X191,X190)
| ~ l1_pre_topc(X190) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])]) ).
fof(c_0_42,plain,
! [X205,X206] :
( ~ m1_subset_1(X205,X206)
| v1_xboole_0(X206)
| r2_hidden(X205,X206) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_43,plain,
! [X126] : m1_subset_1(esk8_1(X126),X126),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_44,plain,
! [X88,X89] :
( v3_struct_0(X88)
| ~ l1_struct_0(X88)
| ~ m1_subset_1(X89,u1_struct_0(X88))
| m1_subset_1(k1_struct_0(X88,X89),k1_zfmisc_1(u1_struct_0(X88))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
cnf(c_0_45,negated_conjecture,
( k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_46,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_48,plain,
! [X95,X96] :
( ( v1_funct_1(k3_tsp_2(X95,X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( v1_funct_2(k3_tsp_2(X95,X96),u1_struct_0(X95),u1_struct_0(X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( v5_pre_topc(k3_tsp_2(X95,X96),X95,X96)
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( m2_relset_1(k3_tsp_2(X95,X96),u1_struct_0(X95),u1_struct_0(X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
cnf(c_0_49,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_51,plain,
! [X217,X218,X219] :
( ~ r2_hidden(X217,X218)
| ~ m1_subset_1(X218,k1_zfmisc_1(X219))
| ~ v1_xboole_0(X219) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_52,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_53,plain,
m1_subset_1(esk8_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_struct_0(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
fof(c_0_56,plain,
! [X1] : ~ v1_xboole_0(k1_tarski(X1)),
inference(fof_simplification,[status(thm)],[fc2_subset_1]) ).
fof(c_0_57,plain,
! [X187,X188,X189] :
( ( ~ m2_relset_1(X189,X187,X188)
| m1_relset_1(X189,X187,X188) )
& ( ~ m1_relset_1(X189,X187,X188)
| m2_relset_1(X189,X187,X188) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_58,plain,
( m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_60,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_47])]) ).
cnf(c_0_61,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_63,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
inference(fof_simplification,[status(thm)],[dt_k8_funct_2]) ).
cnf(c_0_64,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_65,plain,
( v1_xboole_0(X1)
| r2_hidden(esk8_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_66,negated_conjecture,
( m1_subset_1(k1_tarski(esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_37]),c_0_55]),c_0_38]) ).
fof(c_0_67,plain,
! [X138] : ~ v1_xboole_0(k1_tarski(X138)),
inference(variable_rename,[status(thm)],[c_0_56]) ).
fof(c_0_68,plain,
! [X179,X180,X181,X182] :
( ~ l1_struct_0(X179)
| ~ l1_struct_0(X180)
| ~ v1_funct_1(X181)
| ~ v1_funct_2(X181,u1_struct_0(X179),u1_struct_0(X180))
| ~ m1_relset_1(X181,u1_struct_0(X179),u1_struct_0(X180))
| k5_pre_topc(X179,X180,X181,X182) = k10_relat_1(X181,X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_pre_topc])]) ).
cnf(c_0_69,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_70,negated_conjecture,
m2_relset_1(k3_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_47]),c_0_61])]),c_0_62]),c_0_38]) ).
cnf(c_0_71,plain,
( v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_72,plain,
( v1_funct_1(k3_tsp_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_73,plain,
! [X117,X118] :
( ~ l1_pre_topc(X117)
| ~ m2_tsp_1(X118,X117)
| l1_pre_topc(X118) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
fof(c_0_74,plain,
! [X107,X108,X109,X110] :
( v1_xboole_0(X107)
| ~ v1_funct_1(X109)
| ~ v1_funct_2(X109,X107,X108)
| ~ m1_relset_1(X109,X107,X108)
| ~ m1_subset_1(X110,X107)
| m1_subset_1(k8_funct_2(X107,X108,X109,X110),X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).
cnf(c_0_75,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_76,negated_conjecture,
m1_subset_1(k1_tarski(esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_46]),c_0_47])]) ).
cnf(c_0_77,plain,
~ v1_xboole_0(k1_tarski(X1)),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
fof(c_0_78,plain,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_struct_0(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( k1_relat_1(X3) = k2_pre_topc(X1)
& r1_tarski(k2_relat_1(X3),k2_pre_topc(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t51_tops_2]) ).
cnf(c_0_79,plain,
( k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_80,negated_conjecture,
m1_relset_1(k3_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_81,negated_conjecture,
v1_funct_2(k3_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_59]),c_0_60]),c_0_47]),c_0_61])]),c_0_62]),c_0_38]) ).
cnf(c_0_82,negated_conjecture,
v1_funct_1(k3_tsp_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_59]),c_0_60]),c_0_47]),c_0_61])]),c_0_62]),c_0_38]) ).
cnf(c_0_83,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_84,plain,
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X3,X2,X4),X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
fof(c_0_86,plain,
! [X214,X215,X216] :
( ( k1_relat_1(X216) = k2_pre_topc(X214)
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ l1_struct_0(X215)
| ~ l1_struct_0(X214) )
& ( r1_tarski(k2_relat_1(X216),k2_pre_topc(X215))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ l1_struct_0(X215)
| ~ l1_struct_0(X214) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).
fof(c_0_87,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X3))) = k4_tex_4(X1,X3) ) ) ),
inference(fof_simplification,[status(thm)],[t27_tsp_2]) ).
cnf(c_0_88,negated_conjecture,
( k5_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82])]) ).
cnf(c_0_89,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_50]),c_0_47])]) ).
cnf(c_0_90,negated_conjecture,
( m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_80]),c_0_81]),c_0_82])]),c_0_85]) ).
fof(c_0_91,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
cnf(c_0_92,plain,
( k1_relat_1(X1) = k2_pre_topc(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_93,plain,
! [X114,X115,X116] :
( ~ m2_relset_1(X116,X114,X115)
| m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(X114,X115))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_94,plain,
! [X173,X174,X175,X176] :
( ~ l1_struct_0(X173)
| ~ l1_struct_0(X174)
| ~ v1_funct_1(X175)
| ~ v1_funct_2(X175,u1_struct_0(X173),u1_struct_0(X174))
| ~ m1_relset_1(X175,u1_struct_0(X173),u1_struct_0(X174))
| k4_pre_topc(X173,X174,X175,X176) = k9_relat_1(X175,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])]) ).
fof(c_0_95,plain,
! [X202,X203,X204] :
( v3_struct_0(X202)
| ~ v2_pre_topc(X202)
| ~ l1_pre_topc(X202)
| v3_struct_0(X203)
| ~ v2_tsp_2(X203,X202)
| ~ m2_tsp_1(X203,X202)
| ~ m1_subset_1(X204,u1_struct_0(X202))
| k5_pre_topc(X202,X203,k3_tsp_2(X202,X203),k1_struct_0(X203,k8_funct_2(u1_struct_0(X202),u1_struct_0(X203),k3_tsp_2(X202,X203),X204))) = k4_tex_4(X202,X204) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
cnf(c_0_96,negated_conjecture,
( k5_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_46]),c_0_89])]) ).
cnf(c_0_97,negated_conjecture,
m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_90,c_0_37]) ).
fof(c_0_98,plain,
! [X183,X184,X185,X186] :
( v1_xboole_0(X183)
| ~ v1_funct_1(X185)
| ~ v1_funct_2(X185,X183,X184)
| ~ m1_relset_1(X185,X183,X184)
| ~ m1_subset_1(X186,X183)
| k8_funct_2(X183,X184,X185,X186) = k1_funct_1(X185,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])]) ).
cnf(c_0_99,negated_conjecture,
( k1_relat_1(k3_tsp_2(esk1_0,esk2_0)) = k2_pre_topc(esk1_0)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_70]),c_0_81]),c_0_82])]),c_0_62]) ).
fof(c_0_100,plain,
! [X41,X42,X43] :
( ~ m1_subset_1(X43,k1_zfmisc_1(k2_zfmisc_1(X41,X42)))
| v1_relat_1(X43) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
cnf(c_0_101,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
fof(c_0_102,plain,
! [X198,X199] :
( ~ v1_relat_1(X199)
| X198 = k1_xboole_0
| ~ r1_tarski(X198,k1_relat_1(X199))
| k9_relat_1(X199,X198) != k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t152_relat_1])]) ).
fof(c_0_103,plain,
! [X223,X224] :
( ~ v1_xboole_0(X223)
| X223 = X224
| ~ v1_xboole_0(X224) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_104,plain,
! [X93,X94] :
( ~ l1_pre_topc(X93)
| ~ m1_subset_1(X94,u1_struct_0(X93))
| m1_subset_1(k2_tex_4(X93,X94),k1_zfmisc_1(u1_struct_0(X93))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_tex_4])]) ).
fof(c_0_105,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k4_tex_4(X1,X2) = k2_tex_4(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k4_tex_4]) ).
cnf(c_0_106,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X3))) = k4_tex_4(X1,X3)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_108,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k3_tsp_2(esk1_0,esk2_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_46]),c_0_47])]) ).
cnf(c_0_109,negated_conjecture,
( k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k1_tarski(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0))
| ~ l1_struct_0(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_97]),c_0_62]) ).
cnf(c_0_110,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_111,plain,
! [X193,X194] :
( ~ v1_relat_1(X194)
| ~ v1_funct_1(X194)
| ~ r2_hidden(X193,k1_relat_1(X194))
| k9_relat_1(X194,k1_tarski(X193)) = k1_tarski(k1_funct_1(X194,X193)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_funct_1])]) ).
cnf(c_0_112,negated_conjecture,
( k1_relat_1(k3_tsp_2(esk1_0,esk2_0)) = k2_pre_topc(esk1_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_46]),c_0_89])]) ).
cnf(c_0_113,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_114,negated_conjecture,
m1_subset_1(k3_tsp_2(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_101,c_0_70]) ).
cnf(c_0_115,plain,
( X2 = k1_xboole_0
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,k1_relat_1(X1))
| k9_relat_1(X1,X2) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_116,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_117,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
fof(c_0_118,plain,
! [X209,X210] :
( ( ~ m1_subset_1(X209,k1_zfmisc_1(X210))
| r1_tarski(X209,X210) )
& ( ~ r1_tarski(X209,X210)
| m1_subset_1(X209,k1_zfmisc_1(X210)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_119,plain,
( m1_subset_1(k2_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
fof(c_0_120,plain,
! [X177,X178] :
( v3_struct_0(X177)
| ~ v2_pre_topc(X177)
| ~ l1_pre_topc(X177)
| ~ m1_subset_1(X178,u1_struct_0(X177))
| k4_tex_4(X177,X178) = k2_tex_4(X177,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])]) ).
cnf(c_0_121,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_80]),c_0_81]),c_0_82])]) ).
fof(c_0_122,plain,
! [X207,X208] :
( ( ~ r1_tarski(X207,k1_tarski(X208))
| X207 = k1_xboole_0
| X207 = k1_tarski(X208) )
& ( X207 != k1_xboole_0
| r1_tarski(X207,k1_tarski(X208)) )
& ( X207 != k1_tarski(X208)
| r1_tarski(X207,k1_tarski(X208)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])]) ).
fof(c_0_123,plain,
! [X196,X197] :
( ~ v1_relat_1(X197)
| ~ v1_funct_1(X197)
| r1_tarski(k9_relat_1(X197,k10_relat_1(X197,X196)),X196) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t145_funct_1])]) ).
cnf(c_0_124,negated_conjecture,
( k10_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),X1))) = k4_tex_4(esk1_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_50]),c_0_59]),c_0_47]),c_0_61])]),c_0_62]),c_0_38]),c_0_108]) ).
cnf(c_0_125,negated_conjecture,
k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k1_tarski(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_46]),c_0_89])]) ).
cnf(c_0_126,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),X1) = k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_80]),c_0_81]),c_0_82])]),c_0_85]) ).
cnf(c_0_127,plain,
( k9_relat_1(X1,k1_tarski(X2)) = k1_tarski(k1_funct_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_128,negated_conjecture,
k1_relat_1(k3_tsp_2(esk1_0,esk2_0)) = k2_pre_topc(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_46]),c_0_47])]) ).
cnf(c_0_129,negated_conjecture,
v1_relat_1(k3_tsp_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
fof(c_0_130,plain,
! [X195] :
( ~ l1_struct_0(X195)
| k2_pre_topc(X195) = u1_struct_0(X195) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_pre_topc])]) ).
cnf(c_0_131,plain,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(k9_relat_1(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116])]),c_0_117])]) ).
cnf(c_0_132,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_133,negated_conjecture,
m1_subset_1(k2_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_37]),c_0_47])]) ).
cnf(c_0_134,plain,
( v3_struct_0(X1)
| k4_tex_4(X1,X2) = k2_tex_4(X1,X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_135,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk1_0,esk3_0)) != k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_136,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_46]),c_0_89])]) ).
cnf(c_0_137,plain,
( X1 = k1_xboole_0
| X1 = k1_tarski(X2)
| ~ r1_tarski(X1,k1_tarski(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_138,plain,
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X2)),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_139,negated_conjecture,
k10_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0))) = k4_tex_4(esk1_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_37]),c_0_125]) ).
cnf(c_0_140,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0) = k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0),
inference(spm,[status(thm)],[c_0_126,c_0_37]) ).
cnf(c_0_141,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(X1))
| ~ r2_hidden(X1,k2_pre_topc(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_82])]),c_0_129])]) ).
cnf(c_0_142,plain,
( k2_pre_topc(X1) = u1_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_143,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk3_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_37]) ).
cnf(c_0_144,negated_conjecture,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k2_pre_topc(esk1_0))
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_128]),c_0_129])]) ).
cnf(c_0_145,negated_conjecture,
r1_tarski(k2_tex_4(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_146,negated_conjecture,
k2_tex_4(esk1_0,esk3_0) = k4_tex_4(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_37]),c_0_47]),c_0_61])]),c_0_38]) ).
cnf(c_0_147,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) != k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0)),
inference(rw,[status(thm)],[c_0_135,c_0_55]) ).
cnf(c_0_148,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_46]),c_0_47])]) ).
cnf(c_0_149,plain,
( k9_relat_1(X1,k10_relat_1(X1,k1_tarski(X2))) = k1_tarski(X2)
| k9_relat_1(X1,k10_relat_1(X1,k1_tarski(X2))) = k1_xboole_0
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_150,negated_conjecture,
k10_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))) = k4_tex_4(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_151,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(X1))
| ~ l1_struct_0(esk1_0)
| ~ r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_152,negated_conjecture,
r2_hidden(esk3_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[c_0_143,c_0_85]) ).
cnf(c_0_153,negated_conjecture,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_144,c_0_142]) ).
cnf(c_0_154,negated_conjecture,
r1_tarski(k4_tex_4(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_155,negated_conjecture,
k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) != k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148]),c_0_148]) ).
cnf(c_0_156,negated_conjecture,
( k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))
| k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_xboole_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_82]),c_0_129])]) ).
cnf(c_0_157,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0))
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
fof(c_0_158,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_tex_4]) ).
cnf(c_0_159,negated_conjecture,
( k4_tex_4(esk1_0,esk3_0) = k1_xboole_0
| ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_160,negated_conjecture,
( k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_xboole_0
| k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)) != k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0)) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_46]),c_0_47])]) ).
fof(c_0_162,plain,
! [X101,X102] :
( ( ~ v1_xboole_0(k4_tex_4(X101,X102))
| v3_struct_0(X101)
| ~ v2_pre_topc(X101)
| ~ l1_pre_topc(X101)
| ~ m1_subset_1(X102,u1_struct_0(X101)) )
& ( m1_subset_1(k4_tex_4(X101,X102),k1_zfmisc_1(u1_struct_0(X101)))
| v3_struct_0(X101)
| ~ v2_pre_topc(X101)
| ~ l1_pre_topc(X101)
| ~ m1_subset_1(X102,u1_struct_0(X101)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_158])])]) ).
cnf(c_0_163,negated_conjecture,
( k4_tex_4(esk1_0,esk3_0) = k1_xboole_0
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_46]),c_0_47])]) ).
cnf(c_0_164,negated_conjecture,
k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161])]) ).
cnf(c_0_165,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k4_tex_4(X1,X2))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_166,negated_conjecture,
k4_tex_4(esk1_0,esk3_0) = k1_xboole_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164]),c_0_117])]) ).
cnf(c_0_167,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_117]),c_0_37]),c_0_47]),c_0_61])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP036+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 23:46:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 1.79/1.87 % Version : CSE_E---1.5
% 1.79/1.87 % Problem : theBenchmark.p
% 1.79/1.87 % Proof found
% 1.79/1.87 % SZS status Theorem for theBenchmark.p
% 1.79/1.87 % SZS output start Proof
% See solution above
% 1.84/1.88 % Total time : 1.292000 s
% 1.84/1.88 % SZS output end Proof
% 1.84/1.88 % Total time : 1.299000 s
%------------------------------------------------------------------------------