TSTP Solution File: SEU322+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU322+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:24:26 EDT 2023
% Result : Theorem 31.13s 31.16s
% Output : CNFRefutation 31.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 52
% Syntax : Number of formulae : 133 ( 14 unt; 32 typ; 0 def)
% Number of atoms : 281 ( 17 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 316 ( 136 ~; 129 |; 21 &)
% ( 5 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 25 >; 7 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 178 ( 11 sgn; 83 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
v1_membered: $i > $o ).
tff(decl_24,type,
element: ( $i * $i ) > $o ).
tff(decl_25,type,
v1_xcmplx_0: $i > $o ).
tff(decl_26,type,
v2_membered: $i > $o ).
tff(decl_27,type,
v1_xreal_0: $i > $o ).
tff(decl_28,type,
v3_membered: $i > $o ).
tff(decl_29,type,
v1_rat_1: $i > $o ).
tff(decl_30,type,
v4_membered: $i > $o ).
tff(decl_31,type,
v1_int_1: $i > $o ).
tff(decl_32,type,
v5_membered: $i > $o ).
tff(decl_33,type,
natural: $i > $o ).
tff(decl_34,type,
empty: $i > $o ).
tff(decl_35,type,
powerset: $i > $i ).
tff(decl_36,type,
one_sorted_str: $i > $o ).
tff(decl_37,type,
empty_carrier: $i > $o ).
tff(decl_38,type,
the_carrier: $i > $i ).
tff(decl_39,type,
top_str: $i > $o ).
tff(decl_40,type,
interior: ( $i * $i ) > $i ).
tff(decl_41,type,
subset_complement: ( $i * $i ) > $i ).
tff(decl_42,type,
topstr_closure: ( $i * $i ) > $i ).
tff(decl_43,type,
subset: ( $i * $i ) > $o ).
tff(decl_44,type,
empty_set: $i ).
tff(decl_45,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk2_0: $i ).
tff(decl_47,type,
esk3_0: $i ).
tff(decl_48,type,
esk4_1: $i > $i ).
tff(decl_49,type,
esk5_0: $i ).
tff(decl_50,type,
esk6_0: $i ).
tff(decl_51,type,
esk7_1: $i > $i ).
tff(decl_52,type,
esk8_0: $i ).
tff(decl_53,type,
esk9_0: $i ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(dt_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> element(subset_complement(X1,X2),powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(involutiveness_k3_subset_1,axiom,
! [X1,X2] :
( element(X2,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(t44_tops_1,conjecture,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(interior(X1,X2),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_tops_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(fc6_membered,axiom,
( empty(empty_set)
& v1_membered(empty_set)
& v2_membered(empty_set)
& v3_membered(empty_set)
& v4_membered(empty_set)
& v5_membered(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(d1_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> interior(X1,X2) = subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
fof(t54_subset_1,axiom,
! [X1,X2,X3] :
( element(X3,powerset(X1))
=> ~ ( in(X2,subset_complement(X1,X3))
& in(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(topstr_closure(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(interior(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(t48_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(X2,topstr_closure(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(l40_tops_1,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,subset_complement(the_carrier(X1),X2))
<=> ~ in(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
fof(d1_struct_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ( empty_carrier(X1)
<=> empty(the_carrier(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_struct_0) ).
fof(c_0_20,plain,
! [X78,X79,X80] :
( ~ in(X78,X79)
| ~ element(X79,powerset(X80))
| ~ empty(X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_21,plain,
! [X49] : element(esk4_1(X49),X49),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_22,plain,
! [X64,X65] :
( ~ element(X64,X65)
| empty(X65)
| in(X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_23,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
element(esk4_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_26,plain,
! [X42,X43] :
( ~ element(X43,powerset(X42))
| element(subset_complement(X42,X43),powerset(X42)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_subset_1])]) ).
fof(c_0_27,plain,
! [X81] :
( ~ empty(X81)
| X81 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_28,plain,
( ~ empty(X1)
| ~ in(X2,esk4_1(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( empty(X1)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_30,plain,
( element(subset_complement(X2,X1),powerset(X2))
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( empty(esk4_1(powerset(X1)))
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,subset_complement(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_34,plain,
( esk4_1(powerset(X1)) = empty_set
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_35,plain,
! [X34,X35,X36,X37,X38] :
( ( ~ subset(X34,X35)
| ~ in(X36,X34)
| in(X36,X35) )
& ( in(esk1_2(X37,X38),X37)
| subset(X37,X38) )
& ( ~ in(esk1_2(X37,X38),X38)
| subset(X37,X38) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
fof(c_0_36,plain,
! [X52,X53] :
( ~ element(X53,powerset(X52))
| subset_complement(X52,subset_complement(X52,X53)) = X53 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k3_subset_1])]) ).
cnf(c_0_37,plain,
( empty(subset_complement(X1,X2))
| ~ empty(X1)
| ~ element(X2,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
fof(c_0_38,negated_conjecture,
~ ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(interior(X1,X2),X2) ) ),
inference(assume_negation,[status(cth)],[t44_tops_1]) ).
cnf(c_0_39,plain,
( ~ empty(X1)
| ~ in(X2,empty_set) ),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_40,plain,
( in(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( subset_complement(X2,subset_complement(X2,X1)) = X1
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
( subset_complement(X1,X2) = empty_set
| ~ empty(X1)
| ~ element(X2,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_37]) ).
fof(c_0_43,negated_conjecture,
( top_str(esk8_0)
& element(esk9_0,powerset(the_carrier(esk8_0)))
& ~ subset(interior(esk8_0,esk9_0),esk9_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_44,plain,
! [X66,X67] :
( ( ~ element(X66,powerset(X67))
| subset(X66,X67) )
& ( ~ subset(X66,X67)
| element(X66,powerset(X67)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_45,plain,
( subset(empty_set,X1)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
cnf(c_0_47,plain,
( subset_complement(X1,empty_set) = X2
| ~ empty(X1)
| ~ element(X2,powerset(X1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
element(esk9_0,powerset(the_carrier(esk8_0))),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
subset(empty_set,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_51,plain,
! [X82,X83] :
( ~ in(X82,X83)
| ~ empty(X83) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_52,plain,
! [X32,X33] :
( ~ top_str(X32)
| ~ element(X33,powerset(the_carrier(X32)))
| interior(X32,X33) = subset_complement(the_carrier(X32),topstr_closure(X32,subset_complement(the_carrier(X32),X33))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tops_1])])]) ).
cnf(c_0_53,negated_conjecture,
( subset_complement(the_carrier(esk8_0),empty_set) = esk9_0
| ~ empty(the_carrier(esk8_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
element(empty_set,powerset(X1)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
( interior(X1,X2) = subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X2)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( subset_complement(the_carrier(esk8_0),esk9_0) = empty_set
| ~ empty(the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_53]),c_0_54])]) ).
cnf(c_0_58,negated_conjecture,
top_str(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,negated_conjecture,
~ subset(interior(esk8_0,esk9_0),esk9_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_60,plain,
( subset(X1,X2)
| ~ empty(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_40]) ).
fof(c_0_61,plain,
! [X75,X76,X77] :
( ~ element(X77,powerset(X75))
| ~ in(X76,subset_complement(X75,X77))
| ~ in(X76,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_subset_1])]) ).
cnf(c_0_62,negated_conjecture,
( subset_complement(the_carrier(esk8_0),topstr_closure(esk8_0,empty_set)) = interior(esk8_0,esk9_0)
| ~ empty(the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_48])]) ).
cnf(c_0_63,negated_conjecture,
~ empty(interior(esk8_0,esk9_0)),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_64,plain,
! [X44,X45] :
( ~ top_str(X44)
| ~ element(X45,powerset(the_carrier(X44)))
| element(topstr_closure(X44,X45),powerset(the_carrier(X44))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
fof(c_0_65,plain,
! [X46] :
( ~ top_str(X46)
| one_sorted_str(X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_66,plain,
! [X72,X73,X74] :
( ~ in(X72,X73)
| ~ element(X73,powerset(X74))
| element(X72,X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_67,plain,
! [X40,X41] :
( ~ top_str(X40)
| ~ element(X41,powerset(the_carrier(X40)))
| element(interior(X40,X41),powerset(the_carrier(X40))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).
cnf(c_0_68,plain,
( ~ element(X1,powerset(X2))
| ~ in(X3,subset_complement(X2,X1))
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_69,plain,
! [X70,X71] :
( ~ top_str(X70)
| ~ element(X71,powerset(the_carrier(X70)))
| subset(X71,topstr_closure(X70,X71)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_pre_topc])])]) ).
fof(c_0_70,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,subset_complement(the_carrier(X1),X2))
<=> ~ in(X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[l40_tops_1]) ).
cnf(c_0_71,negated_conjecture,
( ~ empty(the_carrier(esk8_0))
| ~ element(topstr_closure(esk8_0,empty_set),powerset(the_carrier(esk8_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_63]) ).
cnf(c_0_72,plain,
( element(topstr_closure(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_73,plain,
! [X31] :
( ( ~ empty_carrier(X31)
| empty(the_carrier(X31))
| ~ one_sorted_str(X31) )
& ( ~ empty(the_carrier(X31))
| empty_carrier(X31)
| ~ one_sorted_str(X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_struct_0])])]) ).
cnf(c_0_74,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,plain,
( subset(subset_complement(X1,X2),X3)
| ~ element(X2,powerset(X1))
| ~ in(esk1_2(subset_complement(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_40]) ).
cnf(c_0_78,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_79,plain,
( subset(X2,topstr_closure(X1,X2))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,plain,
( topstr_closure(X1,subset_complement(the_carrier(X1),X2)) = subset_complement(the_carrier(X1),interior(X1,X2))
| ~ top_str(X1)
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
fof(c_0_81,plain,
! [X54,X55,X56] :
( ( ~ in(X56,subset_complement(the_carrier(X54),X55))
| ~ in(X56,X55)
| ~ element(X56,the_carrier(X54))
| ~ element(X55,powerset(the_carrier(X54)))
| empty_carrier(X54)
| ~ one_sorted_str(X54) )
& ( in(X56,X55)
| in(X56,subset_complement(the_carrier(X54),X55))
| ~ element(X56,the_carrier(X54))
| ~ element(X55,powerset(the_carrier(X54)))
| empty_carrier(X54)
| ~ one_sorted_str(X54) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])]) ).
cnf(c_0_82,negated_conjecture,
~ empty(the_carrier(esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_58]),c_0_54])]) ).
cnf(c_0_83,plain,
( empty(the_carrier(X1))
| ~ empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_84,negated_conjecture,
one_sorted_str(esk8_0),
inference(spm,[status(thm)],[c_0_74,c_0_58]) ).
cnf(c_0_85,plain,
( element(X1,the_carrier(X2))
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,interior(X2,X3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_86,plain,
( subset(interior(X1,X2),X3)
| ~ top_str(X1)
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(esk1_2(interior(X1,X2),X3),topstr_closure(X1,subset_complement(the_carrier(X1),X2))) ),
inference(spm,[status(thm)],[c_0_77,c_0_56]) ).
cnf(c_0_87,plain,
( in(X1,topstr_closure(X2,X3))
| ~ top_str(X2)
| ~ element(X3,powerset(the_carrier(X2)))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,plain,
( topstr_closure(X1,subset_complement(the_carrier(X1),X2)) = subset_complement(the_carrier(X1),interior(X1,X2))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_72]),c_0_30]) ).
cnf(c_0_89,plain,
( in(X1,X2)
| in(X1,subset_complement(the_carrier(X3),X2))
| empty_carrier(X3)
| ~ element(X1,the_carrier(X3))
| ~ element(X2,powerset(the_carrier(X3)))
| ~ one_sorted_str(X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_90,negated_conjecture,
~ empty_carrier(esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_91,plain,
( subset(interior(X1,X2),X3)
| element(esk1_2(interior(X1,X2),X3),the_carrier(X1))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(spm,[status(thm)],[c_0_85,c_0_40]) ).
cnf(c_0_92,plain,
( subset(interior(X1,X2),X3)
| ~ top_str(X1)
| ~ element(topstr_closure(X1,subset_complement(the_carrier(X1),X2)),powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(esk1_2(interior(X1,X2),X3),subset_complement(the_carrier(X1),X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_30]) ).
cnf(c_0_93,plain,
( element(subset_complement(the_carrier(X1),interior(X1,X2)),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_88]),c_0_30]) ).
cnf(c_0_94,negated_conjecture,
( in(X1,subset_complement(the_carrier(esk8_0),esk9_0))
| in(X1,esk9_0)
| ~ element(X1,the_carrier(esk8_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_48]),c_0_84])]),c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( subset(interior(esk8_0,esk9_0),X1)
| element(esk1_2(interior(esk8_0,esk9_0),X1),the_carrier(esk8_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_48]),c_0_58])]) ).
cnf(c_0_96,plain,
( subset(interior(X1,X2),X3)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(esk1_2(interior(X1,X2),X3),subset_complement(the_carrier(X1),X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_88]),c_0_93]) ).
cnf(c_0_97,negated_conjecture,
( subset(interior(esk8_0,esk9_0),X1)
| in(esk1_2(interior(esk8_0,esk9_0),X1),subset_complement(the_carrier(esk8_0),esk9_0))
| in(esk1_2(interior(esk8_0,esk9_0),X1),esk9_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_98,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_99,negated_conjecture,
( subset(interior(esk8_0,esk9_0),X1)
| in(esk1_2(interior(esk8_0,esk9_0),X1),esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_58]),c_0_48])]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU322+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n024.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 : Wed Aug 23 20:18:09 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 31.09/31.16 % Version : CSE_E---1.5
% 31.13/31.16 % Problem : theBenchmark.p
% 31.13/31.16 % Proof found
% 31.13/31.16 % SZS status Theorem for theBenchmark.p
% 31.13/31.16 % SZS output start Proof
% See solution above
% 31.13/31.17 % Total time : 30.578000 s
% 31.13/31.17 % SZS output end Proof
% 31.13/31.17 % Total time : 30.583000 s
%------------------------------------------------------------------------------