TSTP Solution File: TOP035+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP035+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 : n009.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 05:54:04 EDT 2023
% Result : Theorem 0.65s 0.74s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 84
% Syntax : Number of formulae : 135 ( 23 unt; 76 typ; 0 def)
% Number of atoms : 324 ( 33 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 414 ( 149 ~; 154 |; 70 &)
% ( 3 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 101 ( 67 >; 34 *; 0 +; 0 <<)
% Number of predicates : 45 ( 43 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 9 con; 0-4 aty)
% Number of variables : 84 ( 0 sgn; 54 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v2_pre_topc: $i > $o ).
tff(decl_24,type,
l1_pre_topc: $i > $o ).
tff(decl_25,type,
v2_tsp_2: ( $i * $i ) > $o ).
tff(decl_26,type,
m2_tsp_1: ( $i * $i ) > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
k1_tsp_2: ( $i * $i ) > $i ).
tff(decl_30,type,
k1_struct_0: ( $i * $i ) > $i ).
tff(decl_31,type,
k6_pre_topc: ( $i * $i ) > $i ).
tff(decl_32,type,
k5_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,
k1_zfmisc_1: $i > $i ).
tff(decl_54,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_55,type,
v1_relat_1: $i > $o ).
tff(decl_56,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_57,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_58,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_59,type,
v3_tops_1: ( $i * $i ) > $o ).
tff(decl_60,type,
v1_tex_3: ( $i * $i ) > $o ).
tff(decl_61,type,
v1_tsep_1: ( $i * $i ) > $o ).
tff(decl_62,type,
v4_tdlat_3: $i > $o ).
tff(decl_63,type,
v5_tdlat_3: $i > $o ).
tff(decl_64,type,
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,
v3_borsuk_1: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
l1_struct_0: $i > $o ).
tff(decl_70,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
k1_tarski: $i > $i ).
tff(decl_72,type,
k1_xboole_0: $i ).
tff(decl_73,type,
k10_relat_1: ( $i * $i ) > $i ).
tff(decl_74,type,
r1_tarski: ( $i * $i ) > $o ).
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_0: $i ).
tff(decl_79,type,
esk5_0: $i ).
tff(decl_80,type,
esk6_0: $i ).
tff(decl_81,type,
esk7_1: $i > $i ).
tff(decl_82,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk9_1: $i > $i ).
tff(decl_84,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk11_1: $i > $i ).
tff(decl_86,type,
esk12_0: $i ).
tff(decl_87,type,
esk13_1: $i > $i ).
tff(decl_88,type,
esk14_1: $i > $i ).
tff(decl_89,type,
esk15_1: $i > $i ).
tff(decl_90,type,
esk16_1: $i > $i ).
tff(decl_91,type,
esk17_0: $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_1: $i > $i ).
tff(decl_96,type,
esk22_1: $i > $i ).
tff(decl_97,type,
esk23_1: $i > $i ).
fof(t24_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(d9_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 = k1_tsp_2(X1,X2)
<=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(dt_k1_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(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_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_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/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(l33_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)) )
=> ( v3_borsuk_1(X3,X1,X2)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ( X4 = X5
=> k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_tsp_2) ).
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(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(c_0_8,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k5_pre_topc(X1,X2,k1_tsp_2(X1,X2),k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_tsp_2])]) ).
fof(c_0_9,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 = k1_tsp_2(X1,X2)
<=> v3_borsuk_1(X3,X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[d9_tsp_2]) ).
fof(c_0_10,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(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_tsp_2]) ).
fof(c_0_11,plain,
! [X173,X174] :
( ( ~ m2_tsp_1(X174,X173)
| m1_pre_topc(X174,X173)
| ~ l1_pre_topc(X173) )
& ( ~ m1_pre_topc(X174,X173)
| m2_tsp_1(X174,X173)
| ~ l1_pre_topc(X173) ) ),
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_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& esk3_0 = esk4_0
& k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk4_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_13,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0]) ).
fof(c_0_14,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)) )
=> ( v3_borsuk_1(X3,X1,X2)
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ( X4 = X5
=> k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4)) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[l33_tsp_2]) ).
fof(c_0_15,plain,
! [X90,X91,X92] :
( ( X92 != k1_tsp_2(X90,X91)
| v3_borsuk_1(X92,X90,X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X90),u1_struct_0(X91))
| ~ v5_pre_topc(X92,X90,X91)
| ~ m2_relset_1(X92,u1_struct_0(X90),u1_struct_0(X91))
| v3_struct_0(X91)
| ~ v2_tsp_2(X91,X90)
| ~ m2_tsp_1(X91,X90)
| v3_struct_0(X90)
| ~ v2_pre_topc(X90)
| ~ l1_pre_topc(X90) )
& ( ~ v3_borsuk_1(X92,X90,X91)
| X92 = k1_tsp_2(X90,X91)
| ~ v1_funct_1(X92)
| ~ v1_funct_2(X92,u1_struct_0(X90),u1_struct_0(X91))
| ~ v5_pre_topc(X92,X90,X91)
| ~ m2_relset_1(X92,u1_struct_0(X90),u1_struct_0(X91))
| v3_struct_0(X91)
| ~ v2_tsp_2(X91,X90)
| ~ m2_tsp_1(X91,X90)
| v3_struct_0(X90)
| ~ v2_pre_topc(X90)
| ~ l1_pre_topc(X90) ) ),
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_16,plain,
! [X95,X96] :
( ( v1_funct_1(k1_tsp_2(X95,X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( v1_funct_2(k1_tsp_2(X95,X96),u1_struct_0(X95),u1_struct_0(X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( v5_pre_topc(k1_tsp_2(X95,X96),X95,X96)
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( m2_relset_1(k1_tsp_2(X95,X96),u1_struct_0(X95),u1_struct_0(X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
cnf(c_0_17,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_20,plain,
! [X164,X165] :
( v3_struct_0(X164)
| ~ l1_struct_0(X164)
| ~ m1_subset_1(X165,u1_struct_0(X164))
| k1_struct_0(X164,X165) = k1_tarski(X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_23,plain,
! [X109,X110] :
( ~ l1_pre_topc(X109)
| ~ m2_tsp_1(X110,X109)
| l1_pre_topc(X110) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
fof(c_0_24,plain,
! [X137,X138,X139,X140,X141] :
( v3_struct_0(X137)
| ~ v2_pre_topc(X137)
| ~ l1_pre_topc(X137)
| v3_struct_0(X138)
| ~ v2_tsp_2(X138,X137)
| ~ m2_tsp_1(X138,X137)
| ~ v1_funct_1(X139)
| ~ v1_funct_2(X139,u1_struct_0(X137),u1_struct_0(X138))
| ~ v5_pre_topc(X139,X137,X138)
| ~ m2_relset_1(X139,u1_struct_0(X137),u1_struct_0(X138))
| ~ v3_borsuk_1(X139,X137,X138)
| ~ m1_subset_1(X140,u1_struct_0(X137))
| ~ m1_subset_1(X141,u1_struct_0(X138))
| X140 != X141
| k5_pre_topc(X137,X138,X139,k6_pre_topc(X138,k1_struct_0(X138,X141))) = k6_pre_topc(X137,k1_struct_0(X137,X140)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_25,plain,
( v3_borsuk_1(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_tsp_2(X2,X3)
| ~ 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_15]) ).
cnf(c_0_26,plain,
( v5_pre_topc(k1_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_16]) ).
cnf(c_0_27,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_29,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( m2_relset_1(k1_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_16]) ).
cnf(c_0_33,plain,
( v1_funct_2(k1_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_16]) ).
cnf(c_0_34,plain,
( v1_funct_1(k1_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_16]) ).
cnf(c_0_35,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_20]) ).
cnf(c_0_36,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_37,plain,
! [X103] :
( ~ l1_pre_topc(X103)
| l1_struct_0(X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_38,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X5))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ 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))
| ~ v3_borsuk_1(X3,X1,X2)
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| X4 != X5 ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,plain,
( v3_borsuk_1(k1_tsp_2(X1,X2),X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
| ~ v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_tsp_2(X1,X2))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_42,negated_conjecture,
v5_pre_topc(k1_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_26,c_0_27]),c_0_28]),c_0_19]),c_0_29])]),c_0_30]),c_0_31]) ).
cnf(c_0_43,negated_conjecture,
m2_relset_1(k1_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_27]),c_0_28]),c_0_19]),c_0_29])]),c_0_30]),c_0_31]) ).
cnf(c_0_44,negated_conjecture,
v1_funct_2(k1_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_33,c_0_27]),c_0_28]),c_0_19]),c_0_29])]),c_0_30]),c_0_31]) ).
cnf(c_0_45,negated_conjecture,
v1_funct_1(k1_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_34,c_0_27]),c_0_28]),c_0_19]),c_0_29])]),c_0_30]),c_0_31]) ).
cnf(c_0_46,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk4_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_47,negated_conjecture,
( k1_struct_0(esk2_0,esk3_0) = k1_tarski(esk3_0)
| ~ l1_struct_0(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_30]) ).
cnf(c_0_48,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_18]),c_0_19])]) ).
cnf(c_0_50,negated_conjecture,
( k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_39]),c_0_31]) ).
cnf(c_0_51,plain,
( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_borsuk_1(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X4,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)],[c_0_40]) ).
cnf(c_0_52,negated_conjecture,
v3_borsuk_1(k1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_18]),c_0_27]),c_0_19]),c_0_29])]),c_0_31]),c_0_30]) ).
cnf(c_0_53,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,esk3_0))) != k6_pre_topc(esk1_0,k1_struct_0(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_46,c_0_22]) ).
cnf(c_0_54,negated_conjecture,
k1_struct_0(esk2_0,esk3_0) = k1_tarski(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_55,negated_conjecture,
k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_19])]) ).
cnf(c_0_56,negated_conjecture,
( k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_struct_0(esk2_0,X1))) = k6_pre_topc(esk1_0,k1_struct_0(esk1_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,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_51,c_0_52]),c_0_43]),c_0_42]),c_0_44]),c_0_45]),c_0_18]),c_0_27]),c_0_19]),c_0_29])]),c_0_31]),c_0_30]) ).
cnf(c_0_57,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k1_tsp_2(esk1_0,esk2_0),k6_pre_topc(esk2_0,k1_tarski(esk3_0))) != k6_pre_topc(esk1_0,k1_tarski(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
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_56,c_0_36]),c_0_54]),c_0_55]),c_0_39])]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : TOP035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 23:55:50 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.65/0.74 % Version : CSE_E---1.5
% 0.65/0.74 % Problem : theBenchmark.p
% 0.65/0.74 % Proof found
% 0.65/0.74 % SZS status Theorem for theBenchmark.p
% 0.65/0.74 % SZS output start Proof
% See solution above
% 0.65/0.75 % Total time : 0.177000 s
% 0.65/0.75 % SZS output end Proof
% 0.65/0.75 % Total time : 0.183000 s
%------------------------------------------------------------------------------