TSTP Solution File: TOP032+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP032+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 : n024.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 05:54:01 EDT 2023
% Result : Theorem 68.79s 68.93s
% Output : CNFRefutation 68.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 109
% Syntax : Number of formulae : 250 ( 57 unt; 82 typ; 0 def)
% Number of atoms : 751 ( 83 equ)
% Maximal formula atoms : 104 ( 4 avg)
% Number of connectives : 939 ( 356 ~; 379 |; 121 &)
% ( 11 <=>; 72 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 117 ( 74 >; 43 *; 0 +; 0 <<)
% Number of predicates : 46 ( 44 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 8 con; 0-4 aty)
% Number of variables : 266 ( 1 sgn; 172 !; 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,
v1_funct_1: $i > $o ).
tff(decl_28,type,
u1_struct_0: $i > $i ).
tff(decl_29,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_32,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
k4_tex_4: ( $i * $i ) > $i ).
tff(decl_34,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_35,type,
v5_pre_topc: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
v1_membered: $i > $o ).
tff(decl_37,type,
v1_xcmplx_0: $i > $o ).
tff(decl_38,type,
v1_tdlat_3: $i > $o ).
tff(decl_39,type,
v2_t_0topsp: $i > $o ).
tff(decl_40,type,
v3_realset2: $i > $o ).
tff(decl_41,type,
v2_tdlat_3: $i > $o ).
tff(decl_42,type,
v3_tdlat_3: $i > $o ).
tff(decl_43,type,
m1_pre_topc: ( $i * $i ) > $o ).
tff(decl_44,type,
v2_tex_2: ( $i * $i ) > $o ).
tff(decl_45,type,
v1_borsuk_1: ( $i * $i ) > $o ).
tff(decl_46,type,
v2_membered: $i > $o ).
tff(decl_47,type,
v1_xreal_0: $i > $o ).
tff(decl_48,type,
v3_membered: $i > $o ).
tff(decl_49,type,
v1_rat_1: $i > $o ).
tff(decl_50,type,
v4_membered: $i > $o ).
tff(decl_51,type,
v1_int_1: $i > $o ).
tff(decl_52,type,
v5_membered: $i > $o ).
tff(decl_53,type,
v4_ordinal2: $i > $o ).
tff(decl_54,type,
v1_xboole_0: $i > $o ).
tff(decl_55,type,
k1_zfmisc_1: $i > $i ).
tff(decl_56,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_57,type,
v1_relat_1: $i > $o ).
tff(decl_58,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_59,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_60,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_61,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_62,type,
v1_tex_3: ( $i * $i ) > $o ).
tff(decl_63,type,
v1_tsep_1: ( $i * $i ) > $o ).
tff(decl_64,type,
v4_tdlat_3: $i > $o ).
tff(decl_65,type,
v5_tdlat_3: $i > $o ).
tff(decl_66,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_67,type,
k5_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
v1_tsp_1: ( $i * $i ) > $o ).
tff(decl_69,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_70,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_71,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(decl_72,type,
l1_struct_0: $i > $o ).
tff(decl_73,type,
k2_tex_4: ( $i * $i ) > $i ).
tff(decl_74,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_75,type,
k1_tarski: $i > $i ).
tff(decl_76,type,
k1_xboole_0: $i ).
tff(decl_77,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_78,type,
esk1_0: $i ).
tff(decl_79,type,
esk2_0: $i ).
tff(decl_80,type,
esk3_0: $i ).
tff(decl_81,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk7_0: $i ).
tff(decl_85,type,
esk8_0: $i ).
tff(decl_86,type,
esk9_1: $i > $i ).
tff(decl_87,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk11_1: $i > $i ).
tff(decl_89,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk13_1: $i > $i ).
tff(decl_91,type,
esk14_0: $i ).
tff(decl_92,type,
esk15_1: $i > $i ).
tff(decl_93,type,
esk16_1: $i > $i ).
tff(decl_94,type,
esk17_1: $i > $i ).
tff(decl_95,type,
esk18_1: $i > $i ).
tff(decl_96,type,
esk19_0: $i ).
tff(decl_97,type,
esk20_1: $i > $i ).
tff(decl_98,type,
esk21_1: $i > $i ).
tff(decl_99,type,
esk22_1: $i > $i ).
tff(decl_100,type,
esk23_1: $i > $i ).
tff(decl_101,type,
esk24_1: $i > $i ).
tff(decl_102,type,
esk25_1: $i > $i ).
tff(decl_103,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
fof(t19_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] :
( ( 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)) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k4_tex_4(X1,X4)) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_tsp_2) ).
fof(t18_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] :
( ( 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)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( X4 = u1_struct_0(X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k5_subset_1(u1_struct_0(X1),X4,k4_tex_4(X1,X5)) = k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)) ) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_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(t1_tsep_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_tsep_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(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(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(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(dt_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_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(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(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(dt_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(cc1_pre_topc,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> v2_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_pre_topc) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(t11_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_2(X3,X1)
<=> v2_tsp_2(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tsp_2) ).
fof(d2_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
=> k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tsp_2) ).
fof(t23_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k2_tex_4(X1,X2))
<=> k2_tex_4(X1,X3) = k2_tex_4(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_tex_4) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(d4_tsp_2,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_1(X3,X1)
& r1_tarski(X2,X3) )
=> X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tsp_2) ).
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(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(commutativity_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_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(c_0_27,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] :
( ( 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)) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k4_tex_4(X1,X4)) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t19_tsp_2])]) ).
fof(c_0_28,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] :
( ( 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)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( X4 = u1_struct_0(X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k5_subset_1(u1_struct_0(X1),X4,k4_tex_4(X1,X5)) = k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)) ) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t18_tsp_2]) ).
fof(c_0_29,plain,
! [X214,X215] :
( ( ~ m2_tsp_1(X215,X214)
| m1_pre_topc(X215,X214)
| ~ l1_pre_topc(X214) )
& ( ~ m1_pre_topc(X215,X214)
| m2_tsp_1(X215,X214)
| ~ l1_pre_topc(X214) ) ),
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_30,negated_conjecture,
! [X9] :
( ~ 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)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& ( ~ m1_subset_1(X9,u1_struct_0(esk1_0))
| r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X9),k4_tex_4(esk1_0,X9)) )
& ( ~ v1_funct_1(esk3_0)
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(esk3_0,esk1_0,esk2_0)
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_31,plain,
! [X220,X221,X222,X223] :
( ( v1_funct_1(X222)
| m1_subset_1(esk26_4(X220,X221,X222,X223),u1_struct_0(X220))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| m1_subset_1(esk26_4(X220,X221,X222,X223),u1_struct_0(X220))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( v5_pre_topc(X222,X220,X221)
| m1_subset_1(esk26_4(X220,X221,X222,X223),u1_struct_0(X220))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| m1_subset_1(esk26_4(X220,X221,X222,X223),u1_struct_0(X220))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( v1_funct_1(X222)
| k5_subset_1(u1_struct_0(X220),X223,k4_tex_4(X220,esk26_4(X220,X221,X222,X223))) != k1_struct_0(X221,k8_funct_2(u1_struct_0(X220),u1_struct_0(X221),X222,esk26_4(X220,X221,X222,X223)))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| k5_subset_1(u1_struct_0(X220),X223,k4_tex_4(X220,esk26_4(X220,X221,X222,X223))) != k1_struct_0(X221,k8_funct_2(u1_struct_0(X220),u1_struct_0(X221),X222,esk26_4(X220,X221,X222,X223)))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( v5_pre_topc(X222,X220,X221)
| k5_subset_1(u1_struct_0(X220),X223,k4_tex_4(X220,esk26_4(X220,X221,X222,X223))) != k1_struct_0(X221,k8_funct_2(u1_struct_0(X220),u1_struct_0(X221),X222,esk26_4(X220,X221,X222,X223)))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) )
& ( m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| k5_subset_1(u1_struct_0(X220),X223,k4_tex_4(X220,esk26_4(X220,X221,X222,X223))) != k1_struct_0(X221,k8_funct_2(u1_struct_0(X220),u1_struct_0(X221),X222,esk26_4(X220,X221,X222,X223)))
| X223 != u1_struct_0(X221)
| ~ m1_subset_1(X223,k1_zfmisc_1(u1_struct_0(X220)))
| ~ v1_funct_1(X222)
| ~ v1_funct_2(X222,u1_struct_0(X220),u1_struct_0(X221))
| ~ m2_relset_1(X222,u1_struct_0(X220),u1_struct_0(X221))
| v3_struct_0(X221)
| ~ v2_tsp_2(X221,X220)
| ~ m2_tsp_1(X221,X220)
| v3_struct_0(X220)
| ~ v2_pre_topc(X220)
| ~ l1_pre_topc(X220) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
fof(c_0_32,plain,
! [X227,X228] :
( ~ l1_pre_topc(X227)
| ~ m1_pre_topc(X228,X227)
| m1_subset_1(u1_struct_0(X228),k1_zfmisc_1(u1_struct_0(X227))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])]) ).
cnf(c_0_33,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X233,X234] :
( ~ m1_subset_1(X233,X234)
| v1_xboole_0(X234)
| r2_hidden(X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_37,plain,
! [X137] : m1_subset_1(esk11_1(X137),X137),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_38,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_39,plain,
( v5_pre_topc(X1,X2,X3)
| m1_subset_1(esk26_4(X2,X3,X1,X4),u1_struct_0(X2))
| v3_struct_0(X3)
| v3_struct_0(X2)
| X4 != u1_struct_0(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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))
| ~ v2_tsp_2(X3,X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_42,negated_conjecture,
( ~ v1_funct_1(esk3_0)
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(esk3_0,esk1_0,esk2_0)
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_46,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]) ).
fof(c_0_47,plain,
! [X240,X241,X242] :
( ~ r2_hidden(X240,X241)
| ~ m1_subset_1(X241,k1_zfmisc_1(X242))
| ~ v1_xboole_0(X242) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_48,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_49,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_50,plain,
! [X113,X114] :
( ( ~ v1_xboole_0(k4_tex_4(X113,X114))
| v3_struct_0(X113)
| ~ v2_pre_topc(X113)
| ~ l1_pre_topc(X113)
| ~ m1_subset_1(X114,u1_struct_0(X113)) )
& ( m1_subset_1(k4_tex_4(X113,X114),k1_zfmisc_1(u1_struct_0(X113)))
| v3_struct_0(X113)
| ~ v2_pre_topc(X113)
| ~ l1_pre_topc(X113)
| ~ m1_subset_1(X114,u1_struct_0(X113)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_51,plain,
( v5_pre_topc(X1,X2,X3)
| m1_subset_1(esk26_4(X2,X3,X1,u1_struct_0(X3)),u1_struct_0(X2))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_52,negated_conjecture,
m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_35])]) ).
cnf(c_0_53,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_54,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_55,negated_conjecture,
~ v5_pre_topc(esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_56,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_57,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_58,plain,
! [X202,X203] :
( v3_struct_0(X202)
| ~ v2_pre_topc(X202)
| ~ l1_pre_topc(X202)
| ~ m1_subset_1(X203,u1_struct_0(X202))
| k4_tex_4(X202,X203) = k2_tex_4(X202,X203) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_59,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]) ).
fof(c_0_60,plain,
! [X211,X212,X213] :
( ( ~ m2_relset_1(X213,X211,X212)
| m1_relset_1(X213,X211,X212) )
& ( ~ m1_relset_1(X213,X211,X212)
| m2_relset_1(X213,X211,X212) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_61,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,plain,
( v1_xboole_0(X1)
| r2_hidden(esk11_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_63,plain,
( m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_64,negated_conjecture,
m1_subset_1(esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_44]),c_0_52]),c_0_45]),c_0_43]),c_0_34]),c_0_53]),c_0_35]),c_0_54])]),c_0_55]),c_0_56]),c_0_57]) ).
cnf(c_0_65,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_58]) ).
fof(c_0_66,plain,
! [X118,X119,X120,X121] :
( v1_xboole_0(X118)
| ~ v1_funct_1(X120)
| ~ v1_funct_2(X120,X118,X119)
| ~ m1_relset_1(X120,X118,X119)
| ~ m1_subset_1(X121,X118)
| m1_subset_1(k8_funct_2(X118,X119,X120,X121),X119) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
cnf(c_0_67,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_68,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_69,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
m1_subset_1(k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k1_zfmisc_1(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_63,c_0_64]),c_0_35]),c_0_54])]),c_0_56]) ).
cnf(c_0_71,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_50]) ).
cnf(c_0_72,negated_conjecture,
k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))) = k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_64]),c_0_35]),c_0_54])]),c_0_56]) ).
cnf(c_0_73,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_66]) ).
cnf(c_0_74,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_67,c_0_45]) ).
fof(c_0_75,plain,
! [X207,X208,X209,X210] :
( v1_xboole_0(X207)
| ~ v1_funct_1(X209)
| ~ v1_funct_2(X209,X207,X208)
| ~ m1_relset_1(X209,X207,X208)
| ~ m1_subset_1(X210,X207)
| k8_funct_2(X207,X208,X209,X210) = k1_funct_1(X209,X210) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
cnf(c_0_76,negated_conjecture,
( v1_xboole_0(k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))))
| ~ v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
~ v1_xboole_0(k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
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_72]),c_0_64]),c_0_35]),c_0_54])]),c_0_56]) ).
fof(c_0_78,plain,
! [X235,X236] :
( ( ~ m1_subset_1(X235,k1_zfmisc_1(X236))
| r1_tarski(X235,X236) )
& ( ~ r1_tarski(X235,X236)
| m1_subset_1(X235,k1_zfmisc_1(X236)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_79,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_44]),c_0_43])]) ).
fof(c_0_80,plain,
! [X128,X129] :
( ~ l1_pre_topc(X128)
| ~ m2_tsp_1(X129,X128)
| l1_pre_topc(X129) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
fof(c_0_81,plain,
! [X41,X42] :
( ~ v2_pre_topc(X41)
| ~ l1_pre_topc(X41)
| ~ m1_pre_topc(X42,X41)
| v2_pre_topc(X42) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_pre_topc])])]) ).
cnf(c_0_82,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_75]) ).
cnf(c_0_83,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_72]),c_0_77]) ).
fof(c_0_84,plain,
! [X99,X100,X101,X102,X103] :
( ( ~ r1_tarski(X99,X100)
| ~ r2_hidden(X101,X99)
| r2_hidden(X101,X100) )
& ( r2_hidden(esk5_2(X102,X103),X102)
| r1_tarski(X102,X103) )
& ( ~ r2_hidden(esk5_2(X102,X103),X103)
| r1_tarski(X102,X103) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_85,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_86,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_2(X3,X1)
<=> v2_tsp_2(X2,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_tsp_2]) ).
cnf(c_0_87,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk11_1(u1_struct_0(esk1_0))),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_49]) ).
cnf(c_0_88,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_89,plain,
( v2_pre_topc(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1) = k1_funct_1(esk3_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_82,c_0_74]),c_0_44]),c_0_43])]),c_0_83]) ).
cnf(c_0_91,plain,
( r2_hidden(X3,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_92,negated_conjecture,
r1_tarski(k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_85,c_0_70]) ).
fof(c_0_93,plain,
! [X217,X218,X219] :
( ( ~ v1_tsp_2(X219,X217)
| v2_tsp_2(X218,X217)
| X219 != u1_struct_0(X218)
| ~ m1_subset_1(X219,k1_zfmisc_1(u1_struct_0(X217)))
| ~ m2_tsp_1(X218,X217)
| v3_struct_0(X217)
| ~ l1_pre_topc(X217) )
& ( ~ v2_tsp_2(X218,X217)
| v1_tsp_2(X219,X217)
| X219 != u1_struct_0(X218)
| ~ m1_subset_1(X219,k1_zfmisc_1(u1_struct_0(X217)))
| ~ m2_tsp_1(X218,X217)
| v3_struct_0(X217)
| ~ l1_pre_topc(X217) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])]) ).
cnf(c_0_94,negated_conjecture,
m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk11_1(u1_struct_0(esk1_0))),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[c_0_87,c_0_83]) ).
cnf(c_0_95,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_34]),c_0_35])]) ).
cnf(c_0_96,negated_conjecture,
v2_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_41]),c_0_35]),c_0_54])]) ).
cnf(c_0_97,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk11_1(u1_struct_0(esk1_0))) = k1_funct_1(esk3_0,esk11_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_90,c_0_49]) ).
cnf(c_0_98,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),k4_tex_4(esk1_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_100,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))) = k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_90,c_0_64]) ).
fof(c_0_101,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
=> k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d2_tsp_2]) ).
cnf(c_0_102,plain,
( v1_tsp_2(X3,X2)
| v3_struct_0(X2)
| ~ v2_tsp_2(X1,X2)
| X3 != u1_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_103,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_64]) ).
cnf(c_0_104,negated_conjecture,
m1_subset_1(k4_tex_4(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk11_1(u1_struct_0(esk1_0)))),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_94]),c_0_95]),c_0_96])]),c_0_57]) ).
cnf(c_0_105,negated_conjecture,
m1_subset_1(k1_funct_1(esk3_0,esk11_1(u1_struct_0(esk1_0))),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_94,c_0_97]) ).
fof(c_0_106,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k2_tex_4(X1,X2))
<=> k2_tex_4(X1,X3) = k2_tex_4(X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t23_tex_4]) ).
fof(c_0_107,plain,
! [X225,X226] :
( ~ r2_hidden(X225,X226)
| m1_subset_1(X225,X226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_108,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) ),
inference(rw,[status(thm)],[c_0_98,c_0_72]) ).
cnf(c_0_109,negated_conjecture,
r2_hidden(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_64]),c_0_100]),c_0_72]) ).
fof(c_0_110,plain,
! [X95,X96,X97] :
( ( ~ v1_tsp_1(X96,X95)
| ~ m1_subset_1(X97,u1_struct_0(X95))
| ~ r2_hidden(X97,X96)
| k5_subset_1(u1_struct_0(X95),X96,k4_tex_4(X95,X97)) = k1_struct_0(X95,X97)
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(X95)))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95) )
& ( m1_subset_1(esk4_2(X95,X96),u1_struct_0(X95))
| v1_tsp_1(X96,X95)
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(X95)))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95) )
& ( r2_hidden(esk4_2(X95,X96),X96)
| v1_tsp_1(X96,X95)
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(X95)))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95) )
& ( k5_subset_1(u1_struct_0(X95),X96,k4_tex_4(X95,esk4_2(X95,X96))) != k1_struct_0(X95,esk4_2(X95,X96))
| v1_tsp_1(X96,X95)
| ~ m1_subset_1(X96,k1_zfmisc_1(u1_struct_0(X95)))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_101])])])])]) ).
fof(c_0_111,plain,
! [X237,X238,X239] :
( ~ r2_hidden(X237,X238)
| ~ m1_subset_1(X238,k1_zfmisc_1(X239))
| m1_subset_1(X237,X239) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_112,plain,
! [X105,X106,X107] :
( ( v1_tsp_1(X106,X105)
| ~ v1_tsp_2(X106,X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| ~ l1_pre_topc(X105) )
& ( ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(X105)))
| ~ v1_tsp_1(X107,X105)
| ~ r1_tarski(X106,X107)
| X106 = X107
| ~ v1_tsp_2(X106,X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| ~ l1_pre_topc(X105) )
& ( m1_subset_1(esk6_2(X105,X106),k1_zfmisc_1(u1_struct_0(X105)))
| ~ v1_tsp_1(X106,X105)
| v1_tsp_2(X106,X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| ~ l1_pre_topc(X105) )
& ( v1_tsp_1(esk6_2(X105,X106),X105)
| ~ v1_tsp_1(X106,X105)
| v1_tsp_2(X106,X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| ~ l1_pre_topc(X105) )
& ( r1_tarski(X106,esk6_2(X105,X106))
| ~ v1_tsp_1(X106,X105)
| v1_tsp_2(X106,X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| ~ l1_pre_topc(X105) )
& ( X106 != esk6_2(X105,X106)
| ~ v1_tsp_1(X106,X105)
| v1_tsp_2(X106,X105)
| ~ m1_subset_1(X106,k1_zfmisc_1(u1_struct_0(X105)))
| ~ l1_pre_topc(X105) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tsp_2])])])])]) ).
cnf(c_0_113,plain,
( v1_tsp_2(u1_struct_0(X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_tsp_1(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_114,negated_conjecture,
m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[c_0_103,c_0_83]) ).
cnf(c_0_115,negated_conjecture,
m1_subset_1(k4_tex_4(esk2_0,k1_funct_1(esk3_0,esk11_1(u1_struct_0(esk1_0)))),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_104,c_0_97]) ).
cnf(c_0_116,negated_conjecture,
k4_tex_4(esk2_0,k1_funct_1(esk3_0,esk11_1(u1_struct_0(esk1_0)))) = k2_tex_4(esk2_0,k1_funct_1(esk3_0,esk11_1(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_65,c_0_105]),c_0_95]),c_0_96])]),c_0_57]) ).
fof(c_0_117,plain,
! [X229,X230,X231] :
( ( ~ r2_hidden(X231,k2_tex_4(X229,X230))
| k2_tex_4(X229,X231) = k2_tex_4(X229,X230)
| ~ m1_subset_1(X231,u1_struct_0(X229))
| ~ m1_subset_1(X230,u1_struct_0(X229))
| v3_struct_0(X229)
| ~ l1_pre_topc(X229) )
& ( k2_tex_4(X229,X231) != k2_tex_4(X229,X230)
| r2_hidden(X231,k2_tex_4(X229,X230))
| ~ m1_subset_1(X231,u1_struct_0(X229))
| ~ m1_subset_1(X230,u1_struct_0(X229))
| v3_struct_0(X229)
| ~ l1_pre_topc(X229) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])])]) ).
cnf(c_0_118,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_119,negated_conjecture,
r2_hidden(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_120,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]) ).
cnf(c_0_121,plain,
( k5_subset_1(u1_struct_0(X2),X1,k4_tex_4(X2,X3)) = k1_struct_0(X2,X3)
| v3_struct_0(X2)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_122,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_123,plain,
( v1_tsp_1(X1,X2)
| ~ v1_tsp_2(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_124,negated_conjecture,
v1_tsp_2(u1_struct_0(esk2_0),esk1_0),
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_113,c_0_34]),c_0_52]),c_0_53]),c_0_35])]),c_0_56]) ).
cnf(c_0_125,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_114]) ).
cnf(c_0_126,negated_conjecture,
( v1_xboole_0(k4_tex_4(esk2_0,k1_funct_1(esk3_0,esk11_1(u1_struct_0(esk1_0)))))
| ~ v1_xboole_0(u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_115]) ).
cnf(c_0_127,negated_conjecture,
~ v1_xboole_0(k2_tex_4(esk2_0,k1_funct_1(esk3_0,esk11_1(u1_struct_0(esk1_0))))),
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_116]),c_0_105]),c_0_95]),c_0_96])]),c_0_57]) ).
cnf(c_0_128,plain,
( k2_tex_4(X2,X1) = k2_tex_4(X2,X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k2_tex_4(X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_129,negated_conjecture,
m1_subset_1(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
fof(c_0_130,plain,
! [X204,X205,X206] :
( ~ m1_subset_1(X205,k1_zfmisc_1(X204))
| ~ m1_subset_1(X206,k1_zfmisc_1(X204))
| k5_subset_1(X204,X205,X206) = k3_xboole_0(X205,X206) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_131,plain,
! [X200,X201] :
( v3_struct_0(X200)
| ~ l1_struct_0(X200)
| ~ m1_subset_1(X201,u1_struct_0(X200))
| k1_struct_0(X200,X201) = k1_tarski(X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])]) ).
cnf(c_0_132,plain,
( k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_133,negated_conjecture,
v1_tsp_1(u1_struct_0(esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_52]),c_0_35])]) ).
cnf(c_0_134,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| r2_hidden(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)) ),
inference(rw,[status(thm)],[c_0_125,c_0_100]) ).
cnf(c_0_135,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_116]),c_0_127]) ).
cnf(c_0_136,negated_conjecture,
k2_tex_4(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_109]),c_0_64]),c_0_35])]),c_0_56]),c_0_129])]) ).
fof(c_0_137,plain,
! [X92,X93,X94] :
( ~ m1_subset_1(X93,k1_zfmisc_1(X92))
| ~ m1_subset_1(X94,k1_zfmisc_1(X92))
| k5_subset_1(X92,X93,X94) = k5_subset_1(X92,X94,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1])]) ).
cnf(c_0_138,plain,
( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
fof(c_0_139,plain,
! [X90,X91] : k3_xboole_0(X90,X91) = k3_xboole_0(X91,X90),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_140,plain,
( v5_pre_topc(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k5_subset_1(u1_struct_0(X2),X4,k4_tex_4(X2,esk26_4(X2,X3,X1,X4))) != k1_struct_0(X3,k8_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,esk26_4(X2,X3,X1,X4)))
| X4 != u1_struct_0(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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))
| ~ v2_tsp_2(X3,X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_141,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_131]) ).
cnf(c_0_142,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,X1)) = k1_struct_0(esk1_0,X1)
| ~ r2_hidden(X1,u1_struct_0(esk2_0)) ),
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_132,c_0_133]),c_0_52]),c_0_35]),c_0_54])]),c_0_56]) ).
cnf(c_0_143,negated_conjecture,
r2_hidden(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_144,negated_conjecture,
k4_tex_4(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_129]),c_0_35]),c_0_54])]),c_0_56]),c_0_136]) ).
cnf(c_0_145,plain,
( k5_subset_1(X2,X1,X3) = k5_subset_1(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_146,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),X1,u1_struct_0(esk2_0)) = k3_xboole_0(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_138,c_0_52]) ).
cnf(c_0_147,negated_conjecture,
m1_subset_1(k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_70,c_0_72]) ).
cnf(c_0_148,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_149,plain,
( v5_pre_topc(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k5_subset_1(u1_struct_0(X2),u1_struct_0(X3),k4_tex_4(X2,esk26_4(X2,X3,X1,u1_struct_0(X3)))) != k1_struct_0(X3,k8_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,esk26_4(X2,X3,X1,u1_struct_0(X3))))
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(er,[status(thm)],[c_0_140]) ).
cnf(c_0_150,negated_conjecture,
( k1_struct_0(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_129]),c_0_56]) ).
cnf(c_0_151,negated_conjecture,
k1_struct_0(esk1_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_152,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),X1,u1_struct_0(esk2_0)) = k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_145,c_0_52]) ).
cnf(c_0_153,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)) = k3_xboole_0(u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_154,negated_conjecture,
k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_44]),c_0_52]),c_0_45]),c_0_43]),c_0_34]),c_0_53]),c_0_35]),c_0_54])]),c_0_55]),c_0_56]),c_0_57]),c_0_72]) ).
cnf(c_0_155,negated_conjecture,
m1_subset_1(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_114,c_0_100]) ).
fof(c_0_156,plain,
! [X122] :
( ~ l1_pre_topc(X122)
| l1_struct_0(X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_157,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))))
| ~ l1_struct_0(esk1_0) ),
inference(rw,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_158,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k3_xboole_0(u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_147]),c_0_153]) ).
cnf(c_0_159,negated_conjecture,
k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_154,c_0_100]) ).
cnf(c_0_160,negated_conjecture,
( k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))))
| ~ l1_struct_0(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_155]),c_0_57]) ).
cnf(c_0_161,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_162,negated_conjecture,
( k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k3_xboole_0(u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))))
| ~ l1_struct_0(esk1_0) ),
inference(rw,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_163,negated_conjecture,
k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k3_xboole_0(u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
k1_struct_0(esk2_0,k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_95])]) ).
cnf(c_0_165,negated_conjecture,
k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k3_xboole_0(u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_161]),c_0_35])]) ).
cnf(c_0_166,negated_conjecture,
k1_tarski(k1_funct_1(esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k3_xboole_0(u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(rw,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_167,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_165,c_0_166]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : TOP032+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 23:18:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 68.79/68.92 % Version : CSE_E---1.5
% 68.79/68.92 % Problem : theBenchmark.p
% 68.79/68.93 % Proof found
% 68.79/68.93 % SZS status Theorem for theBenchmark.p
% 68.79/68.93 % SZS output start Proof
% See solution above
% 68.97/68.95 % Total time : 68.353000 s
% 68.97/68.95 % SZS output end Proof
% 68.97/68.95 % Total time : 68.362000 s
%------------------------------------------------------------------------------