TSTP Solution File: TOP042+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP042+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 05:54:09 EDT 2023
% Result : Theorem 1.17s 1.29s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 93
% Syntax : Number of formulae : 157 ( 27 unt; 80 typ; 0 def)
% Number of atoms : 445 ( 40 equ)
% Maximal formula atoms : 63 ( 5 avg)
% Number of connectives : 595 ( 227 ~; 247 |; 76 &)
% ( 6 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 72 >; 43 *; 0 +; 0 <<)
% Number of predicates : 44 ( 42 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 8 con; 0-4 aty)
% Number of variables : 130 ( 4 sgn; 79 !; 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,
k1_zfmisc_1: $i > $i ).
tff(decl_29,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_30,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_31,type,
k4_tsp_2: ( $i * $i ) > $i ).
tff(decl_32,type,
k4_pre_topc: ( $i * $i * $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,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_54,type,
v1_relat_1: $i > $o ).
tff(decl_55,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_56,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_57,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_58,type,
v1_tex_3: ( $i * $i ) > $o ).
tff(decl_59,type,
v1_tsep_1: ( $i * $i ) > $o ).
tff(decl_60,type,
v4_tdlat_3: $i > $o ).
tff(decl_61,type,
v5_tdlat_3: $i > $o ).
tff(decl_62,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_63,type,
k5_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
v1_funct_1: $i > $o ).
tff(decl_65,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
v5_pre_topc: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
k3_tex_4: ( $i * $i ) > $i ).
tff(decl_69,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_70,type,
k1_tsp_2: ( $i * $i ) > $i ).
tff(decl_71,type,
l1_struct_0: $i > $o ).
tff(decl_72,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
k1_xboole_0: $i ).
tff(decl_74,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_75,type,
esk1_0: $i ).
tff(decl_76,type,
esk2_0: $i ).
tff(decl_77,type,
esk3_0: $i ).
tff(decl_78,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk9_0: $i ).
tff(decl_84,type,
esk10_0: $i ).
tff(decl_85,type,
esk11_1: $i > $i ).
tff(decl_86,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_87,type,
esk13_1: $i > $i ).
tff(decl_88,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk15_1: $i > $i ).
tff(decl_90,type,
esk16_0: $i ).
tff(decl_91,type,
esk17_1: $i > $i ).
tff(decl_92,type,
esk18_1: $i > $i ).
tff(decl_93,type,
esk19_1: $i > $i ).
tff(decl_94,type,
esk20_1: $i > $i ).
tff(decl_95,type,
esk21_0: $i ).
tff(decl_96,type,
esk22_1: $i > $i ).
tff(decl_97,type,
esk23_1: $i > $i ).
tff(decl_98,type,
esk24_1: $i > $i ).
tff(decl_99,type,
esk25_1: $i > $i ).
tff(decl_100,type,
esk26_1: $i > $i ).
tff(decl_101,type,
esk27_1: $i > $i ).
fof(t35_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,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> v4_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tsp_2) ).
fof(dt_k4_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(k4_tsp_2(X1,X2))
& v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_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/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(d12_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))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k4_tsp_2(X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = u1_struct_0(X2)
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(dt_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)) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_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/sandbox/benchmark/theBenchmark.p',dt_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/sandbox/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(t62_tex_4,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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_tex_4) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(d2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ( m2_tsp_1(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v4_pre_topc(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(X4,X1)
& X3 = k3_xboole_0(X4,u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tsp_1) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(c_0_13,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,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> v4_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t35_tsp_2])]) ).
fof(c_0_14,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(k4_tsp_2(X1,X2))
& v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_tsp_2]) ).
fof(c_0_15,plain,
! [X206,X207] :
( ( ~ m2_tsp_1(X207,X206)
| m1_pre_topc(X207,X206)
| ~ l1_pre_topc(X206) )
& ( ~ m1_pre_topc(X207,X206)
| m2_tsp_1(X207,X206)
| ~ l1_pre_topc(X206) ) ),
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_16,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,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v4_pre_topc(esk3_0,esk1_0)
& ~ v4_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_17,plain,
! [X117,X118] :
( ( v1_funct_1(k4_tsp_2(X117,X118))
| v3_struct_0(X117)
| ~ v2_pre_topc(X117)
| ~ l1_pre_topc(X117)
| v3_struct_0(X118)
| ~ v2_tsp_2(X118,X117)
| ~ m1_pre_topc(X118,X117) )
& ( v1_funct_2(k4_tsp_2(X117,X118),u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X117)
| ~ v2_pre_topc(X117)
| ~ l1_pre_topc(X117)
| v3_struct_0(X118)
| ~ v2_tsp_2(X118,X117)
| ~ m1_pre_topc(X118,X117) )
& ( v5_pre_topc(k4_tsp_2(X117,X118),X117,X118)
| v3_struct_0(X117)
| ~ v2_pre_topc(X117)
| ~ l1_pre_topc(X117)
| v3_struct_0(X118)
| ~ v2_tsp_2(X118,X117)
| ~ m1_pre_topc(X118,X117) )
& ( m2_relset_1(k4_tsp_2(X117,X118),u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X117)
| ~ v2_pre_topc(X117)
| ~ l1_pre_topc(X117)
| v3_struct_0(X118)
| ~ v2_tsp_2(X118,X117)
| ~ m1_pre_topc(X118,X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_18,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X203,X204,X205] :
( ( ~ m2_relset_1(X205,X203,X204)
| m1_relset_1(X205,X203,X204) )
& ( ~ m1_relset_1(X205,X203,X204)
| m2_relset_1(X205,X203,X204) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_22,plain,
( m2_relset_1(k4_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_17]) ).
cnf(c_0_23,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_25,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
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))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k4_tsp_2(X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = u1_struct_0(X2)
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d12_tsp_2]) ).
fof(c_0_29,plain,
! [X113,X114,X115,X116] :
( ~ l1_struct_0(X113)
| ~ l1_struct_0(X114)
| ~ v1_funct_1(X115)
| ~ v1_funct_2(X115,u1_struct_0(X113),u1_struct_0(X114))
| ~ m1_relset_1(X115,u1_struct_0(X113),u1_struct_0(X114))
| m1_subset_1(k4_pre_topc(X113,X114,X115,X116),k1_zfmisc_1(u1_struct_0(X114))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])]) ).
cnf(c_0_30,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
m2_relset_1(k4_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_22,c_0_23]),c_0_24]),c_0_20]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( v1_funct_2(k4_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_17]) ).
cnf(c_0_33,plain,
( v1_funct_1(k4_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_17]) ).
fof(c_0_34,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_35,plain,
! [X94,X95,X96,X97,X98] :
( ( X96 != k4_tsp_2(X94,X95)
| ~ m1_subset_1(X97,k1_zfmisc_1(u1_struct_0(X94)))
| X97 != u1_struct_0(X95)
| ~ m1_subset_1(X98,k1_zfmisc_1(u1_struct_0(X94)))
| k5_subset_1(u1_struct_0(X94),X97,k3_tex_4(X94,X98)) = k4_pre_topc(X94,X95,X96,X98)
| ~ v1_funct_1(X96)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| v3_struct_0(X95)
| ~ v2_tsp_2(X95,X94)
| ~ m2_tsp_1(X95,X94)
| v3_struct_0(X94)
| ~ v2_pre_topc(X94)
| ~ l1_pre_topc(X94) )
& ( m1_subset_1(esk4_3(X94,X95,X96),k1_zfmisc_1(u1_struct_0(X94)))
| X96 = k4_tsp_2(X94,X95)
| ~ v1_funct_1(X96)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| v3_struct_0(X95)
| ~ v2_tsp_2(X95,X94)
| ~ m2_tsp_1(X95,X94)
| v3_struct_0(X94)
| ~ v2_pre_topc(X94)
| ~ l1_pre_topc(X94) )
& ( esk4_3(X94,X95,X96) = u1_struct_0(X95)
| X96 = k4_tsp_2(X94,X95)
| ~ v1_funct_1(X96)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| v3_struct_0(X95)
| ~ v2_tsp_2(X95,X94)
| ~ m2_tsp_1(X95,X94)
| v3_struct_0(X94)
| ~ v2_pre_topc(X94)
| ~ l1_pre_topc(X94) )
& ( m1_subset_1(esk5_3(X94,X95,X96),k1_zfmisc_1(u1_struct_0(X94)))
| X96 = k4_tsp_2(X94,X95)
| ~ v1_funct_1(X96)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| v3_struct_0(X95)
| ~ v2_tsp_2(X95,X94)
| ~ m2_tsp_1(X95,X94)
| v3_struct_0(X94)
| ~ v2_pre_topc(X94)
| ~ l1_pre_topc(X94) )
& ( k5_subset_1(u1_struct_0(X94),esk4_3(X94,X95,X96),k3_tex_4(X94,esk5_3(X94,X95,X96))) != k4_pre_topc(X94,X95,X96,esk5_3(X94,X95,X96))
| X96 = k4_tsp_2(X94,X95)
| ~ v1_funct_1(X96)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| v3_struct_0(X95)
| ~ v2_tsp_2(X95,X94)
| ~ m2_tsp_1(X95,X94)
| v3_struct_0(X94)
| ~ v2_pre_topc(X94)
| ~ l1_pre_topc(X94) ) ),
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_36,plain,
! [X211,X212] :
( ~ l1_pre_topc(X211)
| ~ m1_pre_topc(X212,X211)
| m1_subset_1(u1_struct_0(X212),k1_zfmisc_1(u1_struct_0(X211))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])]) ).
fof(c_0_37,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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t62_tex_4]) ).
fof(c_0_38,plain,
! [X200,X201,X202] :
( ~ m1_subset_1(X201,k1_zfmisc_1(X200))
| ~ m1_subset_1(X202,k1_zfmisc_1(X200))
| k5_subset_1(X200,X201,X202) = k3_xboole_0(X201,X202) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_39,plain,
! [X101,X102,X103,X105,X107] :
( ( r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| ~ m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( m1_subset_1(esk6_3(X101,X102,X103),k1_zfmisc_1(u1_struct_0(X101)))
| ~ v4_pre_topc(X103,X102)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( v4_pre_topc(esk6_3(X101,X102,X103),X101)
| ~ v4_pre_topc(X103,X102)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( X103 = k3_xboole_0(esk6_3(X101,X102,X103),u1_struct_0(X102))
| ~ v4_pre_topc(X103,X102)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( ~ m1_subset_1(X105,k1_zfmisc_1(u1_struct_0(X101)))
| ~ v4_pre_topc(X105,X101)
| X103 != k3_xboole_0(X105,u1_struct_0(X102))
| v4_pre_topc(X103,X102)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( m1_subset_1(esk7_2(X101,X102),k1_zfmisc_1(u1_struct_0(X102)))
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( ~ v4_pre_topc(esk7_2(X101,X102),X102)
| ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(X101)))
| ~ v4_pre_topc(X107,X101)
| esk7_2(X101,X102) != k3_xboole_0(X107,u1_struct_0(X102))
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( m1_subset_1(esk8_2(X101,X102),k1_zfmisc_1(u1_struct_0(X101)))
| v4_pre_topc(esk7_2(X101,X102),X102)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( v4_pre_topc(esk8_2(X101,X102),X101)
| v4_pre_topc(esk7_2(X101,X102),X102)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) )
& ( esk7_2(X101,X102) = k3_xboole_0(esk8_2(X101,X102),u1_struct_0(X102))
| v4_pre_topc(esk7_2(X101,X102),X102)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| m2_tsp_1(X102,X101)
| ~ l1_pre_topc(X102)
| ~ l1_pre_topc(X101) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tsp_1])])])])]) ).
cnf(c_0_40,plain,
( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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_29]) ).
cnf(c_0_41,negated_conjecture,
m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_42,negated_conjecture,
v1_funct_2(k4_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_32,c_0_23]),c_0_24]),c_0_20]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_43,negated_conjecture,
v1_funct_1(k4_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_33,c_0_23]),c_0_24]),c_0_20]),c_0_25])]),c_0_26]),c_0_27]) ).
fof(c_0_44,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_45,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,plain,
( k5_subset_1(u1_struct_0(X2),X4,k3_tex_4(X2,X5)) = k4_pre_topc(X2,X3,X1,X5)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k4_tsp_2(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| X4 != u1_struct_0(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v5_pre_topc(X1,X2,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_35]) ).
cnf(c_0_47,plain,
( v5_pre_topc(k4_tsp_2(X1,X2),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_17]) ).
cnf(c_0_48,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_36]) ).
fof(c_0_49,plain,
! [X224,X225] :
( v3_struct_0(X224)
| ~ v2_pre_topc(X224)
| ~ l1_pre_topc(X224)
| ~ m1_subset_1(X225,k1_zfmisc_1(u1_struct_0(X224)))
| ~ v4_pre_topc(X225,X224)
| k3_tex_4(X224,X225) = X225 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_50,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_38]) ).
cnf(c_0_51,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_52,plain,
! [X89,X90] : k3_xboole_0(X89,X90) = k3_xboole_0(X90,X89),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_53,plain,
( v4_pre_topc(X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| X3 != k3_xboole_0(X1,u1_struct_0(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_tsp_1(X4,X2)
| ~ l1_pre_topc(X4)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_54,negated_conjecture,
( m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),X1),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ 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_40,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_55,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_19]),c_0_20])]) ).
cnf(c_0_57,plain,
( k5_subset_1(u1_struct_0(X1),u1_struct_0(X2),k3_tex_4(X1,X3)) = k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
| ~ v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k4_tsp_2(X1,X2))
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_58,negated_conjecture,
v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),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_47,c_0_23]),c_0_24]),c_0_20]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_59,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_48,c_0_24]),c_0_20])]) ).
cnf(c_0_60,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,negated_conjecture,
v4_pre_topc(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_62,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),X1,esk3_0) = k3_xboole_0(X1,esk3_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_63,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_64,plain,
( v4_pre_topc(k3_xboole_0(X1,u1_struct_0(X2)),X2)
| ~ v4_pre_topc(X1,X3)
| ~ m1_subset_1(k3_xboole_0(X1,u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_tsp_1(X2,X3)
| ~ l1_pre_topc(X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_53,c_0_45])]) ).
cnf(c_0_65,negated_conjecture,
( m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),X1),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_66,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,X1)) = k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_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(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_57,c_0_58]),c_0_31]),c_0_42]),c_0_43]),c_0_59]),c_0_19]),c_0_23]),c_0_20]),c_0_25])]),c_0_27]),c_0_26]) ).
cnf(c_0_67,negated_conjecture,
k3_tex_4(esk1_0,esk3_0) = esk3_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_60,c_0_61]),c_0_51]),c_0_20]),c_0_25])]),c_0_27]) ).
cnf(c_0_68,negated_conjecture,
k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0) = k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_59]),c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( v4_pre_topc(k3_xboole_0(X1,u1_struct_0(esk2_0)),esk2_0)
| ~ v4_pre_topc(X1,esk1_0)
| ~ m1_subset_1(k3_xboole_0(X1,u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_19]),c_0_20])]) ).
cnf(c_0_70,negated_conjecture,
m1_subset_1(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),X1),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_55]),c_0_20])]) ).
cnf(c_0_71,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) = k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_51]),c_0_67]),c_0_68]) ).
cnf(c_0_72,negated_conjecture,
~ v4_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_73,negated_conjecture,
( v4_pre_topc(k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),esk2_0)
| ~ m1_subset_1(k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_61]),c_0_51])]) ).
cnf(c_0_74,negated_conjecture,
m1_subset_1(k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
~ v4_pre_topc(k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),esk2_0),
inference(rw,[status(thm)],[c_0_72,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74])]),c_0_75]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : TOP042+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 23:27:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.17/1.29 % Version : CSE_E---1.5
% 1.17/1.29 % Problem : theBenchmark.p
% 1.17/1.29 % Proof found
% 1.17/1.29 % SZS status Theorem for theBenchmark.p
% 1.17/1.29 % SZS output start Proof
% See solution above
% 1.17/1.31 % Total time : 0.706000 s
% 1.17/1.31 % SZS output end Proof
% 1.17/1.31 % Total time : 0.712000 s
%------------------------------------------------------------------------------