TSTP Solution File: SEU310+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n008.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 16:24:20 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of formulae : 90 ( 10 unt; 33 typ; 0 def)
% Number of atoms : 353 ( 75 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 491 ( 195 ~; 251 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 30 >; 10 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn; 18 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
topological_space: $i > $o ).
tff(decl_23,type,
top_str: $i > $o ).
tff(decl_24,type,
the_carrier: $i > $i ).
tff(decl_25,type,
powerset: $i > $i ).
tff(decl_26,type,
element: ( $i * $i ) > $o ).
tff(decl_27,type,
in: ( $i * $i ) > $o ).
tff(decl_28,type,
cast_as_carrier_subset: $i > $i ).
tff(decl_29,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_30,type,
v5_membered: $i > $o ).
tff(decl_31,type,
v4_membered: $i > $o ).
tff(decl_32,type,
v3_membered: $i > $o ).
tff(decl_33,type,
v2_membered: $i > $o ).
tff(decl_34,type,
v1_membered: $i > $o ).
tff(decl_35,type,
empty: $i > $o ).
tff(decl_36,type,
v1_xcmplx_0: $i > $o ).
tff(decl_37,type,
v1_xreal_0: $i > $o ).
tff(decl_38,type,
v1_rat_1: $i > $o ).
tff(decl_39,type,
v1_int_1: $i > $o ).
tff(decl_40,type,
natural: $i > $o ).
tff(decl_41,type,
closed_subset: ( $i * $i ) > $o ).
tff(decl_42,type,
one_sorted_str: $i > $o ).
tff(decl_43,type,
esk1_0: $i ).
tff(decl_44,type,
esk2_0: $i ).
tff(decl_45,type,
esk3_1: $i > $i ).
tff(decl_46,type,
esk4_0: $i ).
tff(decl_47,type,
esk5_1: $i > $i ).
tff(decl_48,type,
esk6_1: $i > $i ).
tff(decl_49,type,
esk7_1: $i > $i ).
tff(decl_50,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk12_3: ( $i * $i * $i ) > $i ).
fof(s1_tarski__e2_37_1_1__pre_topc__1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2)
& X3 = X5
& in(set_difference(cast_as_carrier_subset(X1),X5),X2) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(the_carrier(X1)))
& X5 = X4
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e2_37_1_1__pre_topc__1) ).
fof(s1_xboole_0__e2_37_1_1__pre_topc__1,conjecture,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(c_0_2,plain,
! [X58,X59,X64,X66,X67] :
( ( in(esk12_3(X58,X59,X64),powerset(the_carrier(X58)))
| ~ in(X64,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( esk12_3(X58,X59,X64) = X64
| ~ in(X64,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(set_difference(cast_as_carrier_subset(X58),X64),X59)
| ~ in(X64,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( ~ in(X67,powerset(the_carrier(X58)))
| X67 != X66
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| in(X66,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk9_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(esk12_3(X58,X59,X64),powerset(the_carrier(X58)))
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( esk12_3(X58,X59,X64) = X64
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(set_difference(cast_as_carrier_subset(X58),X64),X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( ~ in(X67,powerset(the_carrier(X58)))
| X67 != X66
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| in(X66,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk9_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(esk12_3(X58,X59,X64),powerset(the_carrier(X58)))
| ~ in(X64,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( esk12_3(X58,X59,X64) = X64
| ~ in(X64,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(set_difference(cast_as_carrier_subset(X58),X64),X59)
| ~ in(X64,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( ~ in(X67,powerset(the_carrier(X58)))
| X67 != X66
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| in(X66,esk11_2(X58,X59))
| esk8_2(X58,X59) = esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(esk12_3(X58,X59,X64),powerset(the_carrier(X58)))
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( esk12_3(X58,X59,X64) = X64
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(set_difference(cast_as_carrier_subset(X58),X64),X59)
| ~ in(X64,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( ~ in(X67,powerset(the_carrier(X58)))
| X67 != X66
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| in(X66,esk11_2(X58,X59))
| in(set_difference(cast_as_carrier_subset(X58),esk10_2(X58,X59)),X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(esk12_3(X58,X59,X64),powerset(the_carrier(X58)))
| ~ in(X64,esk11_2(X58,X59))
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( esk12_3(X58,X59,X64) = X64
| ~ in(X64,esk11_2(X58,X59))
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( in(set_difference(cast_as_carrier_subset(X58),X64),X59)
| ~ in(X64,esk11_2(X58,X59))
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) )
& ( ~ in(X67,powerset(the_carrier(X58)))
| X67 != X66
| ~ in(set_difference(cast_as_carrier_subset(X58),X66),X59)
| in(X66,esk11_2(X58,X59))
| esk9_2(X58,X59) != esk10_2(X58,X59)
| ~ topological_space(X58)
| ~ top_str(X58)
| ~ element(X59,powerset(powerset(the_carrier(X58)))) ) ),
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)],[s1_tarski__e2_37_1_1__pre_topc__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(the_carrier(X1)))
& in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e2_37_1_1__pre_topc__1]) ).
cnf(c_0_4,plain,
( in(X3,esk11_2(X2,X4))
| esk8_2(X2,X4) = esk9_2(X2,X4)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X4,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X8] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( ~ in(esk3_1(X8),X8)
| ~ in(esk3_1(X8),powerset(the_carrier(esk1_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X8)),esk2_0) )
& ( in(esk3_1(X8),powerset(the_carrier(esk1_0)))
| in(esk3_1(X8),X8) )
& ( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X8)),esk2_0)
| in(esk3_1(X8),X8) ) ),
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_3])])])])]) ).
cnf(c_0_6,plain,
( esk8_2(X1,X2) = esk9_2(X1,X2)
| in(X3,esk11_2(X1,X2))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk8_2(esk1_0,X1) = esk9_2(esk1_0,X1)
| in(esk3_1(X2),esk11_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X2)),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_11,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_14,plain,
( esk12_3(X1,X2,X3) = X3
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,plain,
( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( esk12_3(X1,X2,esk3_1(esk11_2(X1,X2))) = esk3_1(esk11_2(X1,X2))
| esk8_2(X1,X2) = esk9_2(X1,X2)
| in(esk3_1(esk11_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_18,plain,
( in(X3,esk11_2(X2,X4))
| esk8_2(X2,X4) = esk10_2(X2,X4)
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X4,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
| esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_22,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| esk8_2(X1,X3) = esk9_2(X1,X3)
| ~ in(X2,esk11_2(X1,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,plain,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(X3,esk11_2(X1,X2))
| ~ in(set_difference(cast_as_carrier_subset(X1),X3),X2)
| ~ in(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0)
| ~ in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0) ),
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_16]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_27,negated_conjecture,
( esk8_2(esk1_0,X1) = esk10_2(esk1_0,X1)
| in(esk3_1(X2),esk11_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X2)),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_28,negated_conjecture,
esk8_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
( esk12_3(X1,X2,X3) = X3
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_11]),c_0_28]),c_0_12]) ).
cnf(c_0_31,negated_conjecture,
( esk12_3(X1,X2,esk3_1(esk11_2(X1,X2))) = esk3_1(esk11_2(X1,X2))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| in(esk3_1(esk11_2(X1,X2)),powerset(the_carrier(esk1_0)))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_32,plain,
( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
| esk8_2(X1,X2) = esk10_2(X1,X2)
| ~ in(X3,esk11_2(X1,X2))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
| esk8_2(esk1_0,esk2_0) = esk10_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_35,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| esk8_2(X1,X3) = esk10_2(X1,X3)
| ~ in(X2,esk11_2(X1,X3))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0))) ),
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_32,c_0_33]),c_0_28]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_37,negated_conjecture,
( esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0))
| esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
( esk8_2(X1,X2) = esk10_2(X1,X2)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(X1,X2))),esk2_0)
| in(set_difference(cast_as_carrier_subset(X1),esk3_1(esk11_2(X1,X2))),X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_12]) ).
cnf(c_0_39,plain,
( in(X3,esk11_2(X2,X4))
| ~ in(X1,powerset(the_carrier(X2)))
| X1 != X3
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X4)
| esk9_2(X2,X4) != esk10_2(X2,X4)
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X4,powerset(powerset(the_carrier(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0) ),
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_11]),c_0_28]),c_0_8]),c_0_9])]) ).
cnf(c_0_42,plain,
( in(X1,esk11_2(X2,X3))
| esk10_2(X2,X3) != esk9_2(X2,X3)
| ~ in(set_difference(cast_as_carrier_subset(X2),X1),X3)
| ~ in(X1,powerset(the_carrier(X2)))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
esk10_2(esk1_0,esk2_0) = esk9_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_33]),c_0_40]),c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( in(X1,esk11_2(esk1_0,esk2_0))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_45,plain,
( esk12_3(X1,X2,X3) = X3
| ~ in(X3,esk11_2(X1,X2))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( in(esk3_1(X1),esk11_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_7]),c_0_12]) ).
cnf(c_0_47,plain,
( in(set_difference(cast_as_carrier_subset(X1),X2),X3)
| ~ in(X2,esk11_2(X1,X3))
| esk9_2(X1,X3) != esk10_2(X1,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X3,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,plain,
( in(esk12_3(X1,X2,X3),powerset(the_carrier(X1)))
| ~ in(X3,esk11_2(X1,X2))
| esk9_2(X1,X2) != esk10_2(X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(powerset(the_carrier(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,negated_conjecture,
( esk12_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
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_43]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_50,negated_conjecture,
in(esk3_1(esk11_2(esk1_0,esk2_0)),esk11_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),X1),esk2_0)
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
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_43]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_52,negated_conjecture,
( in(esk12_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk11_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_43]),c_0_11]),c_0_8]),c_0_9])]) ).
cnf(c_0_53,negated_conjecture,
esk12_3(esk1_0,esk2_0,esk3_1(esk11_2(esk1_0,esk2_0))) = esk3_1(esk11_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk11_2(esk1_0,esk2_0))),esk2_0),
inference(spm,[status(thm)],[c_0_51,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
in(esk3_1(esk11_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_53]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_50]),c_0_54]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 13:07:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.055000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.059000 s
%------------------------------------------------------------------------------