TSTP Solution File: SEU298+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU298+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 : n013.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 16:24:14 EDT 2023
% Result : Theorem 0.71s 0.81s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 45
% Syntax : Number of formulae : 121 ( 9 unt; 43 typ; 0 def)
% Number of atoms : 498 ( 152 equ)
% Maximal formula atoms : 196 ( 6 avg)
% Number of connectives : 683 ( 263 ~; 358 |; 54 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 29 >; 13 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 14 con; 0-3 aty)
% Number of variables : 143 ( 0 sgn; 20 !; 9 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ordinal: $i > $o ).
tff(decl_23,type,
succ: $i > $i ).
tff(decl_24,type,
powerset: $i > $i ).
tff(decl_25,type,
element: ( $i * $i ) > $o ).
tff(decl_26,type,
in: ( $i * $i ) > $o ).
tff(decl_27,type,
singleton: $i > $i ).
tff(decl_28,type,
set_difference: ( $i * $i ) > $i ).
tff(decl_29,type,
empty: $i > $o ).
tff(decl_30,type,
relation: $i > $o ).
tff(decl_31,type,
function: $i > $o ).
tff(decl_32,type,
one_to_one: $i > $o ).
tff(decl_33,type,
epsilon_transitive: $i > $o ).
tff(decl_34,type,
epsilon_connected: $i > $o ).
tff(decl_35,type,
natural: $i > $o ).
tff(decl_36,type,
finite: $i > $o ).
tff(decl_37,type,
esk1_0: $i ).
tff(decl_38,type,
esk2_0: $i ).
tff(decl_39,type,
esk3_1: $i > $i ).
tff(decl_40,type,
esk4_1: $i > $i ).
tff(decl_41,type,
esk5_1: $i > $i ).
tff(decl_42,type,
esk6_0: $i ).
tff(decl_43,type,
esk7_0: $i ).
tff(decl_44,type,
esk8_0: $i ).
tff(decl_45,type,
esk9_0: $i ).
tff(decl_46,type,
esk10_0: $i ).
tff(decl_47,type,
esk11_0: $i ).
tff(decl_48,type,
esk12_0: $i ).
tff(decl_49,type,
esk13_0: $i ).
tff(decl_50,type,
esk14_1: $i > $i ).
tff(decl_51,type,
esk15_0: $i ).
tff(decl_52,type,
esk16_0: $i ).
tff(decl_53,type,
esk17_1: $i > $i ).
tff(decl_54,type,
esk18_1: $i > $i ).
tff(decl_55,type,
esk19_0: $i ).
tff(decl_56,type,
esk20_0: $i ).
tff(decl_57,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk28_3: ( $i * $i * $i ) > $i ).
fof(s1_tarski__e4_27_3_1__finset_1__1,axiom,
! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ( ! [X3,X4,X5] :
( ( X3 = X4
& ? [X6] :
( in(X6,X2)
& X4 = set_difference(X6,singleton(X1)) )
& X3 = X5
& ? [X7] :
( in(X7,X2)
& X5 = set_difference(X7,singleton(X1)) ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(X5,powerset(X1))
& X5 = X4
& ? [X8] :
( in(X8,X2)
& X4 = set_difference(X8,singleton(X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e4_27_3_1__finset_1__1) ).
fof(s1_xboole_0__e4_27_3_1__finset_1,conjecture,
! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e4_27_3_1__finset_1) ).
fof(c_0_2,plain,
! [X59,X60,X67,X70,X71,X72] :
( ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk22_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk22_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk22_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk22_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk22_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| in(esk24_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| in(esk24_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| in(esk24_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| in(esk24_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| in(esk24_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) = set_difference(esk24_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) = set_difference(esk24_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) = set_difference(esk24_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) = set_difference(esk24_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| esk22_2(X59,X60) = set_difference(esk24_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| esk21_2(X59,X60) = esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| in(esk25_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| in(esk25_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| in(esk25_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| in(esk25_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| in(esk25_2(X59,X60),X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk23_2(X59,X60) = set_difference(esk25_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| esk23_2(X59,X60) = set_difference(esk25_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| esk23_2(X59,X60) = set_difference(esk25_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk23_2(X59,X60) = set_difference(esk25_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| esk23_2(X59,X60) = set_difference(esk25_2(X59,X60),singleton(X59))
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk27_3(X59,X60,X67),powerset(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) != esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( esk27_3(X59,X60,X67) = X67
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) != esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( in(esk28_3(X59,X60,X67),X60)
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) != esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( X67 = set_difference(esk28_3(X59,X60,X67),singleton(X59))
| ~ in(X67,esk26_2(X59,X60))
| esk22_2(X59,X60) != esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) )
& ( ~ in(X71,powerset(X59))
| X71 != X70
| ~ in(X72,X60)
| X70 != set_difference(X72,singleton(X59))
| in(X70,esk26_2(X59,X60))
| esk22_2(X59,X60) != esk23_2(X59,X60)
| ~ ordinal(X59)
| ~ element(X60,powerset(powerset(succ(X59)))) ) ),
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__e4_27_3_1__finset_1__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( ordinal(X1)
& element(X2,powerset(powerset(succ(X1)))) )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ( in(X4,powerset(X1))
& ? [X5] :
( in(X5,X2)
& X4 = set_difference(X5,singleton(X1)) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e4_27_3_1__finset_1]) ).
cnf(c_0_4,plain,
( in(X3,esk26_2(X2,X5))
| esk21_2(X2,X5) = esk22_2(X2,X5)
| ~ in(X1,powerset(X2))
| X1 != X3
| ~ in(X4,X5)
| X3 != set_difference(X4,singleton(X2))
| ~ ordinal(X2)
| ~ element(X5,powerset(powerset(succ(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X11,X13] :
( ordinal(esk1_0)
& element(esk2_0,powerset(powerset(succ(esk1_0))))
& ( ~ in(esk3_1(X11),X11)
| ~ in(esk3_1(X11),powerset(esk1_0))
| ~ in(X13,esk2_0)
| esk3_1(X11) != set_difference(X13,singleton(esk1_0)) )
& ( in(esk3_1(X11),powerset(esk1_0))
| in(esk3_1(X11),X11) )
& ( in(esk4_1(X11),esk2_0)
| in(esk3_1(X11),X11) )
& ( esk3_1(X11) = set_difference(esk4_1(X11),singleton(esk1_0))
| in(esk3_1(X11),X11) ) ),
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,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X3 != set_difference(X4,singleton(X1))
| ~ in(X3,powerset(X1))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk3_1(X1),powerset(esk1_0))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
ordinal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( esk21_2(esk1_0,X1) = esk22_2(esk1_0,X1)
| in(esk3_1(X2),esk26_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| esk3_1(X2) != set_difference(X3,singleton(esk1_0))
| ~ in(X3,X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_10,negated_conjecture,
( esk3_1(X1) = set_difference(esk4_1(X1),singleton(esk1_0))
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( esk21_2(esk1_0,X1) = esk22_2(esk1_0,X1)
| in(esk3_1(X2),esk26_2(esk1_0,X1))
| in(esk3_1(X3),X3)
| in(esk3_1(X2),X2)
| esk3_1(X2) != esk3_1(X3)
| ~ in(esk4_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( esk21_2(esk1_0,X1) = esk22_2(esk1_0,X1)
| in(esk3_1(X2),esk26_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ in(esk4_1(X2),X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( in(esk4_1(X1),esk2_0)
| in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
element(esk2_0,powerset(powerset(succ(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,plain,
( in(X3,esk26_2(X2,X5))
| esk21_2(X2,X5) = esk23_2(X2,X5)
| ~ in(X1,powerset(X2))
| X1 != X3
| ~ in(X4,X5)
| X3 != set_difference(X4,singleton(X2))
| ~ ordinal(X2)
| ~ element(X5,powerset(powerset(succ(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,plain,
( in(esk27_3(X1,X2,X3),powerset(X1))
| esk21_2(X1,X2) = esk22_2(X1,X2)
| ~ in(X3,esk26_2(X1,X2))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,plain,
( esk27_3(X1,X2,X3) = X3
| esk21_2(X1,X2) = esk22_2(X1,X2)
| ~ in(X3,esk26_2(X1,X2))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,plain,
( esk21_2(X1,X2) = esk23_2(X1,X2)
| in(X3,esk26_2(X1,X2))
| X3 != set_difference(X4,singleton(X1))
| ~ in(X3,powerset(X1))
| ~ in(X4,X2)
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( in(esk28_3(X1,X2,X3),X2)
| esk21_2(X1,X2) = esk22_2(X1,X2)
| ~ in(X3,esk26_2(X1,X2))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),esk26_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( esk21_2(X1,X2) = esk22_2(X1,X2)
| in(esk27_3(X1,X2,esk3_1(esk26_2(X1,X2))),powerset(X1))
| in(esk3_1(esk26_2(X1,X2)),powerset(esk1_0))
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( esk27_3(X1,X2,esk3_1(esk26_2(X1,X2))) = esk3_1(esk26_2(X1,X2))
| esk21_2(X1,X2) = esk22_2(X1,X2)
| in(esk3_1(esk26_2(X1,X2)),powerset(esk1_0))
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( esk21_2(esk1_0,X1) = esk23_2(esk1_0,X1)
| in(esk3_1(X2),esk26_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| esk3_1(X2) != set_difference(X3,singleton(esk1_0))
| ~ in(X3,X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_7]),c_0_8])]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ in(esk3_1(X1),powerset(esk1_0))
| ~ in(X2,esk2_0)
| esk3_1(X1) != set_difference(X2,singleton(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_8])]) ).
cnf(c_0_27,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),powerset(esk1_0))
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_14]),c_0_8])]) ).
cnf(c_0_28,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_8])]) ).
cnf(c_0_29,plain,
( X1 = set_difference(esk28_3(X2,X3,X1),singleton(X2))
| esk21_2(X2,X3) = esk22_2(X2,X3)
| ~ in(X1,esk26_2(X2,X3))
| ~ ordinal(X2)
| ~ element(X3,powerset(powerset(succ(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( esk21_2(esk1_0,X1) = esk23_2(esk1_0,X1)
| in(esk3_1(X2),esk26_2(esk1_0,X1))
| in(esk3_1(X3),X3)
| in(esk3_1(X2),X2)
| esk3_1(X2) != esk3_1(X3)
| ~ in(esk4_1(X3),X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_10]) ).
cnf(c_0_31,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| esk3_1(X1) != set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0))
| ~ in(esk3_1(X1),powerset(esk1_0))
| ~ in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0)) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_21]),c_0_14]),c_0_8])]) ).
cnf(c_0_34,negated_conjecture,
( esk21_2(esk1_0,X1) = esk23_2(esk1_0,X1)
| in(esk3_1(X2),esk26_2(esk1_0,X1))
| in(esk3_1(X2),X2)
| ~ in(esk4_1(X2),X1)
| ~ element(X1,powerset(powerset(succ(esk1_0)))) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
esk21_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_21]),c_0_32]),c_0_33]) ).
cnf(c_0_36,plain,
( in(esk27_3(X1,X2,X3),powerset(X1))
| esk21_2(X1,X2) = esk23_2(X1,X2)
| ~ in(X3,esk26_2(X1,X2))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,plain,
( esk27_3(X1,X2,X3) = X3
| esk21_2(X1,X2) = esk23_2(X1,X2)
| ~ in(X3,esk26_2(X1,X2))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_13]),c_0_35]),c_0_14])]) ).
cnf(c_0_39,negated_conjecture,
( esk21_2(X1,X2) = esk23_2(X1,X2)
| in(esk27_3(X1,X2,esk3_1(esk26_2(X1,X2))),powerset(X1))
| in(esk3_1(esk26_2(X1,X2)),powerset(esk1_0))
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_7]) ).
cnf(c_0_40,negated_conjecture,
( esk27_3(X1,X2,esk3_1(esk26_2(X1,X2))) = esk3_1(esk26_2(X1,X2))
| esk21_2(X1,X2) = esk23_2(X1,X2)
| in(esk3_1(esk26_2(X1,X2)),powerset(esk1_0))
| ~ element(X2,powerset(powerset(succ(X1))))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_7]) ).
cnf(c_0_41,plain,
( in(esk28_3(X1,X2,X3),X2)
| esk21_2(X1,X2) = esk23_2(X1,X2)
| ~ in(X3,esk26_2(X1,X2))
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),esk26_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk23_2(esk1_0,esk2_0)
| in(esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),powerset(esk1_0))
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_14]),c_0_8])]) ).
cnf(c_0_44,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk21_2(esk1_0,esk2_0) = esk23_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_14]),c_0_8])]) ).
cnf(c_0_45,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk28_3(esk1_0,esk2_0,esk3_1(esk26_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_41,c_0_42]),c_0_35]),c_0_14]),c_0_8])]) ).
cnf(c_0_46,negated_conjecture,
( esk21_2(esk1_0,esk2_0) = esk23_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,plain,
( X1 = set_difference(esk28_3(X2,X3,X1),singleton(X2))
| esk21_2(X2,X3) = esk23_2(X2,X3)
| ~ in(X1,esk26_2(X2,X3))
| ~ ordinal(X2)
| ~ element(X3,powerset(powerset(succ(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,plain,
( in(X3,esk26_2(X2,X5))
| ~ in(X1,powerset(X2))
| X1 != X3
| ~ in(X4,X5)
| X3 != set_difference(X4,singleton(X2))
| esk22_2(X2,X5) != esk23_2(X2,X5)
| ~ ordinal(X2)
| ~ element(X5,powerset(powerset(succ(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| esk3_1(X1) != set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0))
| ~ in(esk3_1(X1),powerset(esk1_0))
| ~ in(esk3_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( esk23_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0)
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(rw,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_51,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0)) = esk3_1(esk26_2(esk1_0,esk2_0))
| esk23_2(esk1_0,esk2_0) = esk22_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_42]),c_0_35]),c_0_14]),c_0_8])]) ).
cnf(c_0_52,plain,
( in(X1,esk26_2(X2,X3))
| esk23_2(X2,X3) != esk22_2(X2,X3)
| X1 != set_difference(X4,singleton(X2))
| ~ in(X1,powerset(X2))
| ~ in(X4,X3)
| ~ element(X3,powerset(powerset(succ(X2))))
| ~ ordinal(X2) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
esk23_2(esk1_0,esk2_0) = esk22_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_50]),c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( in(X1,esk26_2(esk1_0,esk2_0))
| X1 != set_difference(X2,singleton(esk1_0))
| ~ in(X1,powerset(esk1_0))
| ~ in(X2,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_14]),c_0_8])]) ).
cnf(c_0_55,negated_conjecture,
( in(X1,esk26_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| X1 != set_difference(esk4_1(X2),singleton(esk1_0))
| ~ in(X1,powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_13]) ).
cnf(c_0_56,negated_conjecture,
( in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| in(esk3_1(X2),X2)
| esk3_1(X1) != set_difference(esk4_1(X2),singleton(esk1_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_7]) ).
cnf(c_0_57,plain,
( in(esk27_3(X1,X2,X3),powerset(X1))
| ~ in(X3,esk26_2(X1,X2))
| esk22_2(X1,X2) != esk23_2(X1,X2)
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_58,plain,
( esk27_3(X1,X2,X3) = X3
| ~ in(X3,esk26_2(X1,X2))
| esk22_2(X1,X2) != esk23_2(X1,X2)
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_59,negated_conjecture,
( in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X2),X2)
| in(esk3_1(X1),X1)
| esk3_1(X1) != esk3_1(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_10]) ).
cnf(c_0_60,negated_conjecture,
( in(esk27_3(esk1_0,esk2_0,X1),powerset(esk1_0))
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_53]),c_0_14]),c_0_8])]) ).
cnf(c_0_61,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_53]),c_0_14]),c_0_8])]) ).
cnf(c_0_62,negated_conjecture,
( in(esk3_1(X1),esk26_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( in(esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),powerset(esk1_0))
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_7]) ).
cnf(c_0_64,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))) = esk3_1(esk26_2(esk1_0,esk2_0))
| in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_7]) ).
cnf(c_0_65,plain,
( in(esk28_3(X1,X2,X3),X2)
| ~ in(X3,esk26_2(X1,X2))
| esk22_2(X1,X2) != esk23_2(X1,X2)
| ~ ordinal(X1)
| ~ element(X2,powerset(powerset(succ(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,plain,
( X1 = set_difference(esk28_3(X2,X3,X1),singleton(X2))
| ~ in(X1,esk26_2(X2,X3))
| esk22_2(X2,X3) != esk23_2(X2,X3)
| ~ ordinal(X2)
| ~ element(X3,powerset(powerset(succ(X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_67,negated_conjecture,
( in(esk3_1(X1),X1)
| esk3_1(X2) != set_difference(esk4_1(X1),singleton(esk1_0))
| ~ in(esk3_1(X2),powerset(esk1_0))
| ~ in(esk3_1(X2),X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_68,negated_conjecture,
in(esk3_1(esk26_2(esk1_0,esk2_0)),esk26_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_62]) ).
cnf(c_0_69,negated_conjecture,
in(esk3_1(esk26_2(esk1_0,esk2_0)),powerset(esk1_0)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( in(esk28_3(esk1_0,esk2_0,X1),esk2_0)
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_53]),c_0_14]),c_0_8])]) ).
cnf(c_0_71,negated_conjecture,
( set_difference(esk28_3(esk1_0,esk2_0,X1),singleton(esk1_0)) = X1
| ~ in(X1,esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_14]),c_0_8])]) ).
cnf(c_0_72,negated_conjecture,
( in(esk3_1(X1),X1)
| set_difference(esk4_1(X1),singleton(esk1_0)) != esk3_1(esk26_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_73,negated_conjecture,
in(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),esk2_0),
inference(spm,[status(thm)],[c_0_70,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
set_difference(esk28_3(esk1_0,esk2_0,esk3_1(esk26_2(esk1_0,esk2_0))),singleton(esk1_0)) = esk3_1(esk26_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_71,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( in(esk3_1(X1),X1)
| esk3_1(X1) != esk3_1(esk26_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_10]) ).
cnf(c_0_76,negated_conjecture,
( esk3_1(X1) != esk3_1(esk26_2(esk1_0,esk2_0))
| ~ in(esk3_1(X1),powerset(esk1_0)) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_73]),c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_76,c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU298+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 19:37:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.62 start to proof: theBenchmark
% 0.71/0.81 % Version : CSE_E---1.5
% 0.71/0.81 % Problem : theBenchmark.p
% 0.71/0.81 % Proof found
% 0.71/0.81 % SZS status Theorem for theBenchmark.p
% 0.71/0.81 % SZS output start Proof
% See solution above
% 0.71/0.82 % Total time : 0.178000 s
% 0.71/0.82 % SZS output end Proof
% 0.71/0.82 % Total time : 0.181000 s
%------------------------------------------------------------------------------