TSTP Solution File: TOP023+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : TOP023+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 : n011.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 05:53:43 EDT 2023
% Result : Theorem 1.06s 1.13s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 44
% Syntax : Number of formulae : 101 ( 25 unt; 38 typ; 0 def)
% Number of atoms : 219 ( 46 equ)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 266 ( 110 ~; 109 |; 23 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 29 >; 8 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 82 ( 5 sgn; 36 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
l1_pre_topc: $i > $o ).
tff(decl_23,type,
u1_struct_0: $i > $i ).
tff(decl_24,type,
k1_zfmisc_1: $i > $i ).
tff(decl_25,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_26,type,
u1_pre_topc: $i > $i ).
tff(decl_27,type,
g1_pre_topc: ( $i * $i ) > $i ).
tff(decl_28,type,
v1_tsp_2: ( $i * $i ) > $o ).
tff(decl_29,type,
v1_pre_topc: $i > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_membered: $i > $o ).
tff(decl_32,type,
v1_xcmplx_0: $i > $o ).
tff(decl_33,type,
v2_membered: $i > $o ).
tff(decl_34,type,
v1_xreal_0: $i > $o ).
tff(decl_35,type,
v3_membered: $i > $o ).
tff(decl_36,type,
v1_rat_1: $i > $o ).
tff(decl_37,type,
v4_membered: $i > $o ).
tff(decl_38,type,
v1_int_1: $i > $o ).
tff(decl_39,type,
v5_membered: $i > $o ).
tff(decl_40,type,
v4_ordinal2: $i > $o ).
tff(decl_41,type,
v1_xboole_0: $i > $o ).
tff(decl_42,type,
v2_tops_1: ( $i * $i ) > $o ).
tff(decl_43,type,
v1_tsp_1: ( $i * $i ) > $o ).
tff(decl_44,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_45,type,
l1_struct_0: $i > $o ).
tff(decl_46,type,
k1_xboole_0: $i ).
tff(decl_47,type,
esk1_0: $i ).
tff(decl_48,type,
esk2_0: $i ).
tff(decl_49,type,
esk3_0: $i ).
tff(decl_50,type,
esk4_0: $i ).
tff(decl_51,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk6_0: $i ).
tff(decl_53,type,
esk7_0: $i ).
tff(decl_54,type,
esk8_1: $i > $i ).
tff(decl_55,type,
esk9_0: $i ).
tff(decl_56,type,
esk10_0: $i ).
tff(decl_57,type,
esk11_1: $i > $i ).
tff(decl_58,type,
esk12_1: $i > $i ).
tff(decl_59,type,
esk13_1: $i > $i ).
fof(free_g1_pre_topc,axiom,
! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
=> ! [X3,X4] :
( g1_pre_topc(X1,X2) = g1_pre_topc(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(dt_u1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(t1_tsp_2,conjecture,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& X3 = X4
& v1_tsp_2(X3,X1) )
=> v1_tsp_2(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(t5_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& X3 = X4
& v1_tsp_1(X3,X1) )
=> v1_tsp_1(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tsp_1) ).
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(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(c_0_6,plain,
! [X52,X53,X54,X55] :
( ( X52 = X54
| g1_pre_topc(X52,X53) != g1_pre_topc(X54,X55)
| ~ m1_subset_1(X53,k1_zfmisc_1(k1_zfmisc_1(X52))) )
& ( X53 = X55
| g1_pre_topc(X52,X53) != g1_pre_topc(X54,X55)
| ~ m1_subset_1(X53,k1_zfmisc_1(k1_zfmisc_1(X52))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_pre_topc])])])]) ).
fof(c_0_7,plain,
! [X46] :
( ~ l1_pre_topc(X46)
| m1_subset_1(u1_pre_topc(X46),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X46)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_pre_topc])]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
& X3 = X4
& v1_tsp_2(X3,X1) )
=> v1_tsp_2(X4,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t1_tsp_2]) ).
cnf(c_0_9,plain,
( X1 = X2
| g1_pre_topc(X3,X1) != g1_pre_topc(X4,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X3))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( m1_subset_1(u1_pre_topc(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
( l1_pre_topc(esk1_0)
& l1_pre_topc(esk2_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0))
& esk3_0 = esk4_0
& v1_tsp_2(esk3_0,esk1_0)
& ~ v1_tsp_2(esk4_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_12,plain,
! [X77,X78,X79,X80] :
( ~ l1_pre_topc(X77)
| ~ l1_pre_topc(X78)
| ~ m1_subset_1(X79,k1_zfmisc_1(u1_struct_0(X77)))
| ~ m1_subset_1(X80,k1_zfmisc_1(u1_struct_0(X78)))
| g1_pre_topc(u1_struct_0(X77),u1_pre_topc(X77)) != g1_pre_topc(u1_struct_0(X78),u1_pre_topc(X78))
| X79 != X80
| ~ v1_tsp_1(X79,X77)
| v1_tsp_1(X80,X78) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_tsp_1])])]) ).
cnf(c_0_13,plain,
( u1_pre_topc(X1) = X2
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(X3,X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
l1_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( v1_tsp_1(X4,X2)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| X3 != X4
| ~ v1_tsp_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_19,plain,
! [X39,X40,X41] :
( ( v1_tsp_1(X40,X39)
| ~ v1_tsp_2(X40,X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| ~ l1_pre_topc(X39) )
& ( ~ m1_subset_1(X41,k1_zfmisc_1(u1_struct_0(X39)))
| ~ v1_tsp_1(X41,X39)
| ~ r1_tarski(X40,X41)
| X40 = X41
| ~ v1_tsp_2(X40,X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| ~ l1_pre_topc(X39) )
& ( m1_subset_1(esk5_2(X39,X40),k1_zfmisc_1(u1_struct_0(X39)))
| ~ v1_tsp_1(X40,X39)
| v1_tsp_2(X40,X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| ~ l1_pre_topc(X39) )
& ( v1_tsp_1(esk5_2(X39,X40),X39)
| ~ v1_tsp_1(X40,X39)
| v1_tsp_2(X40,X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| ~ l1_pre_topc(X39) )
& ( r1_tarski(X40,esk5_2(X39,X40))
| ~ v1_tsp_1(X40,X39)
| v1_tsp_2(X40,X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| ~ l1_pre_topc(X39) )
& ( X40 != esk5_2(X39,X40)
| ~ v1_tsp_1(X40,X39)
| v1_tsp_2(X40,X39)
| ~ m1_subset_1(X40,k1_zfmisc_1(u1_struct_0(X39)))
| ~ l1_pre_topc(X39) ) ),
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_20,negated_conjecture,
( u1_pre_topc(esk2_0) = X1
| g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_21,negated_conjecture,
~ v1_tsp_2(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,plain,
( v1_tsp_1(X1,X2)
| g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ v1_tsp_1(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,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_19]) ).
cnf(c_0_25,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,negated_conjecture,
v1_tsp_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,negated_conjecture,
u1_pre_topc(esk2_0) = u1_pre_topc(esk1_0),
inference(er,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X69,X70] :
( ( ~ m1_subset_1(X69,k1_zfmisc_1(X70))
| r1_tarski(X69,X70) )
& ( ~ r1_tarski(X69,X70)
| m1_subset_1(X69,k1_zfmisc_1(X70)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_30,plain,
( m1_subset_1(esk5_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v1_tsp_2(X2,X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
~ v1_tsp_2(esk3_0,esk2_0),
inference(rw,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_32,negated_conjecture,
( v1_tsp_1(esk3_0,esk2_0)
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0))
| ~ v1_tsp_1(esk3_0,X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]),c_0_15])]) ).
cnf(c_0_33,negated_conjecture,
v1_tsp_1(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_34,plain,
( X1 = X2
| g1_pre_topc(X1,X3) != g1_pre_topc(X2,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(u1_pre_topc(esk1_0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_28]),c_0_15])]) ).
cnf(c_0_36,negated_conjecture,
g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(esk1_0)) = g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)),
inference(rw,[status(thm)],[c_0_14,c_0_28]) ).
cnf(c_0_37,plain,
( v1_tsp_1(esk5_2(X1,X2),X1)
| v1_tsp_2(X2,X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
( m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_23]),c_0_15])]),c_0_31]) ).
cnf(c_0_40,negated_conjecture,
v1_tsp_1(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_33]),c_0_27])]) ).
cnf(c_0_41,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_42,plain,
( r1_tarski(X1,esk5_2(X2,X1))
| v1_tsp_2(X1,X2)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
( v1_tsp_2(X1,X2)
| X1 != esk5_2(X2,X1)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,negated_conjecture,
( v1_tsp_1(esk5_2(esk2_0,esk3_0),esk2_0)
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_23]),c_0_15])]),c_0_31]) ).
cnf(c_0_46,negated_conjecture,
( r1_tarski(esk5_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_47,plain,
( X3 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_1(X1,X2)
| ~ r1_tarski(X3,X1)
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_49,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( r1_tarski(esk3_0,esk5_2(esk2_0,esk3_0))
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_23]),c_0_15])]),c_0_31]) ).
cnf(c_0_51,negated_conjecture,
( esk5_2(esk2_0,esk3_0) != esk3_0
| ~ v1_tsp_1(esk3_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_23]),c_0_15])]),c_0_31]) ).
cnf(c_0_52,plain,
( v1_tsp_1(X1,X2)
| g1_pre_topc(u1_struct_0(X3),u1_pre_topc(X3)) != g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2))
| ~ r1_tarski(X1,u1_struct_0(X2))
| ~ v1_tsp_1(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_44]) ).
cnf(c_0_53,negated_conjecture,
v1_tsp_1(esk5_2(esk2_0,esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_40])]) ).
cnf(c_0_54,negated_conjecture,
r1_tarski(esk5_2(esk2_0,esk3_0),u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_40])]) ).
cnf(c_0_55,negated_conjecture,
( X1 = esk3_0
| ~ r1_tarski(esk3_0,X1)
| ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_56,negated_conjecture,
m1_subset_1(esk5_2(esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
r1_tarski(esk3_0,esk5_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_40])]) ).
cnf(c_0_58,negated_conjecture,
esk5_2(esk2_0,esk3_0) != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_40])]) ).
cnf(c_0_59,negated_conjecture,
( v1_tsp_1(esk5_2(esk2_0,esk3_0),X1)
| g1_pre_topc(u1_struct_0(esk1_0),u1_pre_topc(esk1_0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ r1_tarski(esk5_2(esk2_0,esk3_0),u1_struct_0(X1))
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_28]),c_0_36]),c_0_53]),c_0_15])]) ).
cnf(c_0_60,negated_conjecture,
r1_tarski(esk5_2(esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_61,negated_conjecture,
~ v1_tsp_1(esk5_2(esk2_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),c_0_58]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_27])]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : TOP023+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 23:23:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 1.06/1.13 % Version : CSE_E---1.5
% 1.06/1.13 % Problem : theBenchmark.p
% 1.06/1.13 % Proof found
% 1.06/1.13 % SZS status Theorem for theBenchmark.p
% 1.06/1.13 % SZS output start Proof
% See solution above
% 1.06/1.14 % Total time : 0.535000 s
% 1.06/1.14 % SZS output end Proof
% 1.06/1.14 % Total time : 0.538000 s
%------------------------------------------------------------------------------