TSTP Solution File: TOP029+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP029+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 05:53:59 EDT 2023
% Result : Theorem 1.76s 1.83s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 88
% Syntax : Number of formulae : 147 ( 21 unt; 79 typ; 0 def)
% Number of atoms : 357 ( 11 equ)
% Maximal formula atoms : 35 ( 5 avg)
% Number of connectives : 473 ( 184 ~; 183 |; 64 &)
% ( 4 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 66 >; 19 *; 0 +; 0 <<)
% Number of predicates : 41 ( 39 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn; 56 !; 2 ?; 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_t_0topsp: $i > $o ).
tff(decl_26,type,
m2_tsp_1: ( $i * $i ) > $o ).
tff(decl_27,type,
v1_pre_topc: $i > $o ).
tff(decl_28,type,
v2_tsp_2: ( $i * $i ) > $o ).
tff(decl_29,type,
u1_struct_0: $i > $i ).
tff(decl_30,type,
u1_pre_topc: $i > $i ).
tff(decl_31,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(decl_32,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_33,type,
v1_membered: $i > $o ).
tff(decl_34,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_35,type,
v1_xcmplx_0: $i > $o ).
tff(decl_36,type,
v1_tdlat_3: $i > $o ).
tff(decl_37,type,
v3_realset2: $i > $o ).
tff(decl_38,type,
v2_tdlat_3: $i > $o ).
tff(decl_39,type,
v3_tdlat_3: $i > $o ).
tff(decl_40,type,
m1_pre_topc: ( $i * $i ) > $o ).
tff(decl_41,type,
v2_tex_2: ( $i * $i ) > $o ).
tff(decl_42,type,
v1_borsuk_1: ( $i * $i ) > $o ).
tff(decl_43,type,
v2_membered: $i > $o ).
tff(decl_44,type,
v1_xreal_0: $i > $o ).
tff(decl_45,type,
v3_membered: $i > $o ).
tff(decl_46,type,
v1_rat_1: $i > $o ).
tff(decl_47,type,
v4_membered: $i > $o ).
tff(decl_48,type,
v1_int_1: $i > $o ).
tff(decl_49,type,
v5_membered: $i > $o ).
tff(decl_50,type,
v4_ordinal2: $i > $o ).
tff(decl_51,type,
v1_xboole_0: $i > $o ).
tff(decl_52,type,
k1_zfmisc_1: $i > $i ).
tff(decl_53,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_54,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_55,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_56,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_57,type,
v1_tex_3: ( $i * $i ) > $o ).
tff(decl_58,type,
v1_tsep_1: ( $i * $i ) > $o ).
tff(decl_59,type,
v4_tdlat_3: $i > $o ).
tff(decl_60,type,
v5_tdlat_3: $i > $o ).
tff(decl_61,type,
l1_struct_0: $i > $o ).
tff(decl_62,type,
k1_xboole_0: $i ).
tff(decl_63,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_64,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(decl_65,type,
v1_tsp_1: ( $i * $i ) > $o ).
tff(decl_66,type,
esk1_0: $i ).
tff(decl_67,type,
esk2_0: $i ).
tff(decl_68,type,
esk3_0: $i ).
tff(decl_69,type,
esk4_0: $i ).
tff(decl_70,type,
esk5_1: $i > $i ).
tff(decl_71,type,
esk6_1: $i > $i ).
tff(decl_72,type,
esk7_1: $i > $i ).
tff(decl_73,type,
esk8_0: $i ).
tff(decl_74,type,
esk9_0: $i ).
tff(decl_75,type,
esk10_1: $i > $i ).
tff(decl_76,type,
esk11_1: $i > $i ).
tff(decl_77,type,
esk12_0: $i ).
tff(decl_78,type,
esk13_0: $i ).
tff(decl_79,type,
esk14_1: $i > $i ).
tff(decl_80,type,
esk15_1: $i > $i ).
tff(decl_81,type,
esk16_0: $i ).
tff(decl_82,type,
esk17_1: $i > $i ).
tff(decl_83,type,
esk18_1: $i > $i ).
tff(decl_84,type,
esk19_0: $i ).
tff(decl_85,type,
esk20_1: $i > $i ).
tff(decl_86,type,
esk21_0: $i ).
tff(decl_87,type,
esk22_1: $i > $i ).
tff(decl_88,type,
esk23_1: $i > $i ).
tff(decl_89,type,
esk24_1: $i > $i ).
tff(decl_90,type,
esk25_0: $i ).
tff(decl_91,type,
esk26_1: $i > $i ).
tff(decl_92,type,
esk27_1: $i > $i ).
tff(decl_93,type,
esk28_1: $i > $i ).
tff(decl_94,type,
esk29_1: $i > $i ).
tff(decl_95,type,
esk30_1: $i > $i ).
tff(decl_96,type,
esk31_1: $i > $i ).
tff(decl_97,type,
esk32_1: $i > $i ).
tff(decl_98,type,
esk33_1: $i > $i ).
tff(decl_99,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk35_2: ( $i * $i ) > $i ).
fof(t15_tsp_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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_1(X3,X1)
<=> v2_t_0topsp(X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_tsp_1) ).
fof(l19_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(t13_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_pre_topc(X3)
& m2_tsp_1(X3,X1)
& m2_tsp_1(X2,X3)
& v2_tsp_2(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_tsp_2) ).
fof(t9_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,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(t12_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ ( v1_tsp_2(X2,X1)
& ! [X3] :
( ( ~ v3_struct_0(X3)
& v1_pre_topc(X3)
& m2_tsp_1(X3,X1) )
=> ~ ( v2_tsp_2(X3,X1)
& X2 = u1_struct_0(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_tsp_2) ).
fof(t4_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_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(t4_tsep_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> ! [X3] :
( m1_pre_topc(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
<=> m1_pre_topc(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_tsep_1) ).
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(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(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_1(X3,X1)
<=> v2_t_0topsp(X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_tsp_1]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[l19_tsp_2]) ).
fof(c_0_11,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_t_0topsp(X2)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_pre_topc(X3)
& m2_tsp_1(X3,X1)
& m2_tsp_1(X2,X3)
& v2_tsp_2(X3,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_tsp_2])]) ).
fof(c_0_12,plain,
! [X160,X161,X162] :
( ( ~ v1_tsp_1(X162,X160)
| v2_t_0topsp(X161)
| X162 != u1_struct_0(X161)
| ~ m1_subset_1(X162,k1_zfmisc_1(u1_struct_0(X160)))
| v3_struct_0(X161)
| ~ m2_tsp_1(X161,X160)
| v3_struct_0(X160)
| ~ l1_pre_topc(X160) )
& ( ~ v2_t_0topsp(X161)
| v1_tsp_1(X162,X160)
| X162 != u1_struct_0(X161)
| ~ m1_subset_1(X162,k1_zfmisc_1(u1_struct_0(X160)))
| v3_struct_0(X161)
| ~ m2_tsp_1(X161,X160)
| v3_struct_0(X160)
| ~ l1_pre_topc(X160) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_13,plain,
! [X108,X109] :
( v3_struct_0(X108)
| ~ l1_pre_topc(X108)
| ~ m2_tsp_1(X109,X108)
| m1_subset_1(u1_struct_0(X109),k1_zfmisc_1(u1_struct_0(X108))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_14,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,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_15,negated_conjecture,
! [X7] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_t_0topsp(esk2_0)
& m2_tsp_1(esk2_0,esk1_0)
& ( ~ v1_pre_topc(X7)
| ~ m2_tsp_1(X7,esk1_0)
| ~ m2_tsp_1(esk2_0,X7)
| ~ v2_tsp_2(X7,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ ( v1_tsp_2(X2,X1)
& ! [X3] :
( ( ~ v3_struct_0(X3)
& v1_pre_topc(X3)
& m2_tsp_1(X3,X1) )
=> ~ ( v2_tsp_2(X3,X1)
& X2 = u1_struct_0(X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t12_tsp_2]) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ~ v1_tsp_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t4_tsp_2]) ).
cnf(c_0_18,plain,
( v1_tsp_1(X2,X3)
| v3_struct_0(X1)
| v3_struct_0(X3)
| ~ v2_t_0topsp(X1)
| X2 != u1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_tsp_1(X1,X3)
| ~ l1_pre_topc(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X185,X186] :
( ( m1_subset_1(esk35_2(X185,X186),k1_zfmisc_1(u1_struct_0(X185)))
| ~ v1_tsp_1(X186,X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v2_pre_topc(X185)
| ~ l1_pre_topc(X185) )
& ( r1_tarski(X186,esk35_2(X185,X186))
| ~ v1_tsp_1(X186,X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v2_pre_topc(X185)
| ~ l1_pre_topc(X185) )
& ( v1_tsp_2(esk35_2(X185,X186),X185)
| ~ v1_tsp_1(X186,X185)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v2_pre_topc(X185)
| ~ l1_pre_topc(X185) ) ),
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_14])])])])]) ).
cnf(c_0_21,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_24,plain,
! [X157,X158] :
( ( ~ v3_struct_0(esk34_2(X157,X158))
| ~ v1_tsp_2(X158,X157)
| v1_xboole_0(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v3_struct_0(X157)
| ~ v2_pre_topc(X157)
| ~ l1_pre_topc(X157) )
& ( v1_pre_topc(esk34_2(X157,X158))
| ~ v1_tsp_2(X158,X157)
| v1_xboole_0(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v3_struct_0(X157)
| ~ v2_pre_topc(X157)
| ~ l1_pre_topc(X157) )
& ( m2_tsp_1(esk34_2(X157,X158),X157)
| ~ v1_tsp_2(X158,X157)
| v1_xboole_0(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v3_struct_0(X157)
| ~ v2_pre_topc(X157)
| ~ l1_pre_topc(X157) )
& ( v2_tsp_2(esk34_2(X157,X158),X157)
| ~ v1_tsp_2(X158,X157)
| v1_xboole_0(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v3_struct_0(X157)
| ~ v2_pre_topc(X157)
| ~ l1_pre_topc(X157) )
& ( X158 = u1_struct_0(esk34_2(X157,X158))
| ~ v1_tsp_2(X158,X157)
| v1_xboole_0(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(u1_struct_0(X157)))
| v3_struct_0(X157)
| ~ v2_pre_topc(X157)
| ~ l1_pre_topc(X157) ) ),
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_16])])])])]) ).
fof(c_0_25,plain,
! [X175,X176] :
( v3_struct_0(X175)
| ~ v2_pre_topc(X175)
| ~ l1_pre_topc(X175)
| ~ v1_xboole_0(X176)
| ~ m1_subset_1(X176,k1_zfmisc_1(u1_struct_0(X175)))
| ~ v1_tsp_2(X176,X175) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_26,plain,
( v1_tsp_1(u1_struct_0(X1),X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,X2)
| ~ v2_t_0topsp(X1)
| ~ l1_pre_topc(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_19]) ).
cnf(c_0_27,negated_conjecture,
v2_t_0topsp(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,plain,
( v1_tsp_2(esk35_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(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(spm,[status(thm)],[c_0_19,c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_31,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_32,plain,
( m2_tsp_1(esk34_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( m1_subset_1(esk35_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
v1_tsp_1(u1_struct_0(esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_27]),c_0_22])]),c_0_28]),c_0_23]) ).
cnf(c_0_36,negated_conjecture,
( v1_tsp_2(esk35_2(esk1_0,u1_struct_0(esk2_0)),esk1_0)
| ~ v1_tsp_1(u1_struct_0(esk2_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_29,c_0_30]),c_0_22]),c_0_31])]),c_0_23]) ).
fof(c_0_37,plain,
! [X154,X155] :
( ( ~ m2_tsp_1(X155,X154)
| m1_pre_topc(X155,X154)
| ~ l1_pre_topc(X154) )
& ( ~ m1_pre_topc(X155,X154)
| m2_tsp_1(X155,X154)
| ~ l1_pre_topc(X154) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])]) ).
cnf(c_0_38,plain,
( m2_tsp_1(esk34_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ 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_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk35_2(esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_35]),c_0_22]),c_0_31])]),c_0_23]) ).
cnf(c_0_40,negated_conjecture,
v1_tsp_2(esk35_2(esk1_0,u1_struct_0(esk2_0)),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_41,plain,
( X1 = u1_struct_0(esk34_2(X2,X1))
| v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ v1_tsp_2(X1,X2)
| ~ 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_24]) ).
fof(c_0_42,plain,
! [X172,X173,X174] :
( ( ~ r1_tarski(u1_struct_0(X173),u1_struct_0(X174))
| m1_pre_topc(X173,X174)
| ~ m1_pre_topc(X174,X172)
| ~ m1_pre_topc(X173,X172)
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( ~ m1_pre_topc(X173,X174)
| r1_tarski(u1_struct_0(X173),u1_struct_0(X174))
| ~ m1_pre_topc(X174,X172)
| ~ m1_pre_topc(X173,X172)
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_tsep_1])])])]) ).
cnf(c_0_43,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
m2_tsp_1(esk34_2(esk1_0,esk35_2(esk1_0,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_38,c_0_39]),c_0_40]),c_0_22]),c_0_31])]),c_0_23]) ).
cnf(c_0_45,plain,
( u1_struct_0(esk34_2(X1,X2)) = X2
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ 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_41,c_0_33]) ).
cnf(c_0_46,plain,
( r1_tarski(X1,esk35_2(X2,X1))
| v3_struct_0(X2)
| ~ v1_tsp_1(X1,X2)
| ~ 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_20]) ).
cnf(c_0_47,plain,
( v1_pre_topc(esk34_2(X1,X2))
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_48,plain,
( v2_tsp_2(esk34_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_49,plain,
( m1_pre_topc(X1,X2)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_pre_topc(X2,X3)
| ~ m1_pre_topc(X1,X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
m1_pre_topc(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0))),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_22])]) ).
cnf(c_0_51,negated_conjecture,
u1_struct_0(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))) = esk35_2(esk1_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_45,c_0_39]),c_0_40]),c_0_22]),c_0_31])]),c_0_23]) ).
cnf(c_0_52,negated_conjecture,
( r1_tarski(u1_struct_0(esk2_0),esk35_2(esk1_0,u1_struct_0(esk2_0)))
| ~ v1_tsp_1(u1_struct_0(esk2_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_46,c_0_30]),c_0_22]),c_0_31])]),c_0_23]) ).
fof(c_0_53,plain,
! [X91,X92] :
( ~ l1_pre_topc(X91)
| ~ m2_tsp_1(X92,X91)
| l1_pre_topc(X92) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
cnf(c_0_54,plain,
( v1_pre_topc(esk34_2(X1,X2))
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ 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_47,c_0_33]) ).
cnf(c_0_55,plain,
( v2_tsp_2(esk34_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_2(X2,X1)
| ~ 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_48,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
( m1_pre_topc(X1,esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0))))
| ~ r1_tarski(u1_struct_0(X1),esk35_2(esk1_0,u1_struct_0(esk2_0)))
| ~ m1_pre_topc(X1,esk1_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_22]),c_0_31])]),c_0_51]) ).
cnf(c_0_57,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_21]),c_0_22])]) ).
cnf(c_0_58,negated_conjecture,
r1_tarski(u1_struct_0(esk2_0),esk35_2(esk1_0,u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_35])]) ).
cnf(c_0_59,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
( ~ v1_pre_topc(X1)
| ~ m2_tsp_1(X1,esk1_0)
| ~ m2_tsp_1(esk2_0,X1)
| ~ v2_tsp_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_61,negated_conjecture,
v1_pre_topc(esk34_2(esk1_0,esk35_2(esk1_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_54,c_0_39]),c_0_40]),c_0_22]),c_0_31])]),c_0_23]) ).
cnf(c_0_62,negated_conjecture,
v2_tsp_2(esk34_2(esk1_0,esk35_2(esk1_0,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_55,c_0_39]),c_0_40]),c_0_22]),c_0_31])]),c_0_23]) ).
cnf(c_0_63,plain,
( m2_tsp_1(X1,X2)
| ~ m1_pre_topc(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_64,negated_conjecture,
m1_pre_topc(esk2_0,esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_65,negated_conjecture,
l1_pre_topc(esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_22])]) ).
cnf(c_0_66,negated_conjecture,
~ m2_tsp_1(esk2_0,esk34_2(esk1_0,esk35_2(esk1_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_44]),c_0_61])]),c_0_62])]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]),c_0_66]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : TOP029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.15/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 23:59:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.61 start to proof: theBenchmark
% 1.76/1.83 % Version : CSE_E---1.5
% 1.76/1.83 % Problem : theBenchmark.p
% 1.76/1.83 % Proof found
% 1.76/1.83 % SZS status Theorem for theBenchmark.p
% 1.76/1.83 % SZS output start Proof
% See solution above
% 1.76/1.84 % Total time : 1.204000 s
% 1.76/1.84 % SZS output end Proof
% 1.76/1.84 % Total time : 1.210000 s
%------------------------------------------------------------------------------