TSTP Solution File: SEU297+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU297+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 : n012.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 16:24:13 EDT 2023
% Result : Theorem 0.75s 0.81s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 41
% Syntax : Number of formulae : 90 ( 10 unt; 39 typ; 0 def)
% Number of atoms : 333 ( 69 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 474 ( 192 ~; 237 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 24 >; 14 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn; 22 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
powerset: $i > $i ).
tff(decl_23,type,
element: ( $i * $i ) > $o ).
tff(decl_24,type,
relation: $i > $o ).
tff(decl_25,type,
function: $i > $o ).
tff(decl_26,type,
in: ( $i * $i ) > $o ).
tff(decl_27,type,
relation_dom: $i > $i ).
tff(decl_28,type,
relation_image: ( $i * $i ) > $i ).
tff(decl_29,type,
empty: $i > $o ).
tff(decl_30,type,
one_to_one: $i > $o ).
tff(decl_31,type,
epsilon_transitive: $i > $o ).
tff(decl_32,type,
epsilon_connected: $i > $o ).
tff(decl_33,type,
ordinal: $i > $o ).
tff(decl_34,type,
natural: $i > $o ).
tff(decl_35,type,
finite: $i > $o ).
tff(decl_36,type,
esk1_0: $i ).
tff(decl_37,type,
esk2_0: $i ).
tff(decl_38,type,
esk3_0: $i ).
tff(decl_39,type,
esk4_1: $i > $i ).
tff(decl_40,type,
esk5_1: $i > $i ).
tff(decl_41,type,
esk6_0: $i ).
tff(decl_42,type,
esk7_0: $i ).
tff(decl_43,type,
esk8_1: $i > $i ).
tff(decl_44,type,
esk9_0: $i ).
tff(decl_45,type,
esk10_0: $i ).
tff(decl_46,type,
esk11_0: $i ).
tff(decl_47,type,
esk12_0: $i ).
tff(decl_48,type,
esk13_0: $i ).
tff(decl_49,type,
esk14_0: $i ).
tff(decl_50,type,
esk15_0: $i ).
tff(decl_51,type,
esk16_1: $i > $i ).
tff(decl_52,type,
esk17_1: $i > $i ).
tff(decl_53,type,
esk18_0: $i ).
tff(decl_54,type,
esk19_0: $i ).
tff(decl_55,type,
esk20_0: $i ).
tff(decl_56,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
fof(s1_tarski__e6_27__finset_1__1,axiom,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ( ! [X4,X5,X6] :
( ( X4 = X5
& in(relation_image(X3,X5),X2)
& X4 = X6
& in(relation_image(X3,X6),X2) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,powerset(relation_dom(X3)))
& X6 = X5
& in(relation_image(X3,X5),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_27__finset_1__1) ).
fof(s1_xboole_0__e6_27__finset_1,conjecture,
! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_27__finset_1) ).
fof(c_0_2,plain,
! [X51,X52,X53,X58,X60,X61] :
( ( in(esk25_4(X51,X52,X53,X58),powerset(relation_dom(X53)))
| ~ in(X58,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk22_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( esk25_4(X51,X52,X53,X58) = X58
| ~ in(X58,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk22_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(relation_image(X53,X58),X52)
| ~ in(X58,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk22_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X61,powerset(relation_dom(X53)))
| X61 != X60
| ~ in(relation_image(X53,X60),X52)
| in(X60,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk22_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk25_4(X51,X52,X53,X58),powerset(relation_dom(X53)))
| ~ in(X58,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk22_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( esk25_4(X51,X52,X53,X58) = X58
| ~ in(X58,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk22_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(relation_image(X53,X58),X52)
| ~ in(X58,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk22_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X61,powerset(relation_dom(X53)))
| X61 != X60
| ~ in(relation_image(X53,X60),X52)
| in(X60,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk22_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk25_4(X51,X52,X53,X58),powerset(relation_dom(X53)))
| ~ in(X58,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( esk25_4(X51,X52,X53,X58) = X58
| ~ in(X58,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(relation_image(X53,X58),X52)
| ~ in(X58,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X61,powerset(relation_dom(X53)))
| X61 != X60
| ~ in(relation_image(X53,X60),X52)
| in(X60,esk24_3(X51,X52,X53))
| esk21_3(X51,X52,X53) = esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk25_4(X51,X52,X53,X58),powerset(relation_dom(X53)))
| ~ in(X58,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk23_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( esk25_4(X51,X52,X53,X58) = X58
| ~ in(X58,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk23_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(relation_image(X53,X58),X52)
| ~ in(X58,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk23_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X61,powerset(relation_dom(X53)))
| X61 != X60
| ~ in(relation_image(X53,X60),X52)
| in(X60,esk24_3(X51,X52,X53))
| in(relation_image(X53,esk23_3(X51,X52,X53)),X52)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk25_4(X51,X52,X53,X58),powerset(relation_dom(X53)))
| ~ in(X58,esk24_3(X51,X52,X53))
| esk22_3(X51,X52,X53) != esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( esk25_4(X51,X52,X53,X58) = X58
| ~ in(X58,esk24_3(X51,X52,X53))
| esk22_3(X51,X52,X53) != esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( in(relation_image(X53,X58),X52)
| ~ in(X58,esk24_3(X51,X52,X53))
| esk22_3(X51,X52,X53) != esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X61,powerset(relation_dom(X53)))
| X61 != X60
| ~ in(relation_image(X53,X60),X52)
| in(X60,esk24_3(X51,X52,X53))
| esk22_3(X51,X52,X53) != esk23_3(X51,X52,X53)
| ~ element(X52,powerset(powerset(X51)))
| ~ relation(X53)
| ~ function(X53) ) ),
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__e6_27__finset_1__1])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( element(X2,powerset(powerset(X1)))
& relation(X3)
& function(X3) )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,powerset(relation_dom(X3)))
& in(relation_image(X3,X5),X2) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_27__finset_1]) ).
cnf(c_0_4,plain,
( in(X3,esk24_3(X5,X4,X2))
| esk21_3(X5,X4,X2) = esk22_3(X5,X4,X2)
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X10] :
( element(esk2_0,powerset(powerset(esk1_0)))
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk4_1(X10),X10)
| ~ in(esk4_1(X10),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X10)),esk2_0) )
& ( in(esk4_1(X10),powerset(relation_dom(esk3_0)))
| in(esk4_1(X10),X10) )
& ( in(relation_image(esk3_0,esk4_1(X10)),esk2_0)
| in(esk4_1(X10),X10) ) ),
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_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( esk21_3(X1,X2,esk3_0) = esk22_3(X1,X2,esk3_0)
| in(esk4_1(X3),esk24_3(X1,X2,esk3_0))
| in(esk4_1(X3),X3)
| ~ in(relation_image(esk3_0,esk4_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1))) ),
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,
( in(relation_image(esk3_0,esk4_1(X1)),esk2_0)
| in(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( esk21_3(X1,esk2_0,esk3_0) = esk22_3(X1,esk2_0,esk3_0)
| in(esk4_1(X2),esk24_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ~ element(esk2_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
element(esk2_0,powerset(powerset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( in(X3,esk24_3(X5,X4,X2))
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| esk22_3(X5,X4,X2) != esk23_3(X5,X4,X2)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
( in(X3,esk24_3(X5,X4,X2))
| esk21_3(X5,X4,X2) = esk23_3(X5,X4,X2)
| ~ in(X1,powerset(relation_dom(X2)))
| X1 != X3
| ~ in(relation_image(X2,X3),X4)
| ~ element(X4,powerset(powerset(X5)))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk21_3(X1,X2,X3) = esk22_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,plain,
( in(X1,esk24_3(X2,X3,X4))
| esk23_3(X2,X3,X4) != esk22_3(X2,X3,X4)
| ~ in(X1,powerset(relation_dom(X4)))
| ~ in(relation_image(X4,X1),X3)
| ~ function(X4)
| ~ relation(X4)
| ~ element(X3,powerset(powerset(X2))) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( esk21_3(X1,X2,X3) = esk23_3(X1,X2,X3)
| in(X4,esk24_3(X1,X2,X3))
| ~ in(X4,powerset(relation_dom(X3)))
| ~ in(relation_image(X3,X4),X2)
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_23,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))
| esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_24,plain,
( in(relation_image(X1,X2),X3)
| esk21_3(X4,X3,X1) = esk22_3(X4,X3,X1)
| ~ in(X2,esk24_3(X4,X3,X1))
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( in(esk4_1(X1),esk24_3(X2,X3,esk3_0))
| in(esk4_1(X1),X1)
| esk23_3(X2,X3,esk3_0) != esk22_3(X2,X3,esk3_0)
| ~ in(relation_image(esk3_0,esk4_1(X1)),X3)
| ~ element(X3,powerset(powerset(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_26,negated_conjecture,
( esk21_3(X1,X2,esk3_0) = esk23_3(X1,X2,esk3_0)
| in(esk4_1(X3),esk24_3(X1,X2,esk3_0))
| in(esk4_1(X3),X3)
| ~ in(relation_image(esk3_0,esk4_1(X3)),X2)
| ~ element(X2,powerset(powerset(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_27,negated_conjecture,
( ~ in(esk4_1(X1),X1)
| ~ in(esk4_1(X1),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_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_24,c_0_18]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_30,negated_conjecture,
( in(esk4_1(X1),esk24_3(X2,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk23_3(X2,esk2_0,esk3_0) != esk22_3(X2,esk2_0,esk3_0)
| ~ element(esk2_0,powerset(powerset(X2))) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_31,negated_conjecture,
( esk21_3(X1,esk2_0,esk3_0) = esk23_3(X1,esk2_0,esk3_0)
| in(esk4_1(X2),esk24_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ~ element(esk2_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
esk21_3(esk1_0,esk2_0,esk3_0) = esk22_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_18]) ).
cnf(c_0_33,negated_conjecture,
( in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_34,negated_conjecture,
( in(esk4_1(X1),esk24_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_13]),c_0_32]),c_0_33]) ).
cnf(c_0_35,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| ~ in(X4,esk24_3(X1,X2,X3))
| esk22_3(X1,X2,X3) != esk23_3(X1,X2,X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),esk24_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_34]) ).
cnf(c_0_37,plain,
( esk25_4(X1,X2,X3,X4) = X4
| ~ in(X4,esk24_3(X1,X2,X3))
| esk22_3(X1,X2,X3) != esk23_3(X1,X2,X3)
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,plain,
( in(relation_image(X1,X2),X3)
| ~ in(X2,esk24_3(X4,X3,X1))
| esk22_3(X4,X3,X1) != esk23_3(X4,X3,X1)
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
( in(esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),powerset(relation_dom(esk3_0)))
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_40,negated_conjecture,
( esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_41,plain,
( in(relation_image(X1,X2),X3)
| esk21_3(X4,X3,X1) = esk23_3(X4,X3,X1)
| ~ in(X2,esk24_3(X4,X3,X1))
| ~ element(X3,powerset(powerset(X4)))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0)
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_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_36]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_43,negated_conjecture,
( in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0)))
| esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
in(relation_image(esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))),esk2_0),
inference(csr,[status(thm)],[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_41,c_0_36]),c_0_32]),c_0_8]),c_0_9]),c_0_13])]),c_0_42]) ).
cnf(c_0_45,plain,
( esk25_4(X1,X2,X3,X4) = X4
| esk21_3(X1,X2,X3) = esk23_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
esk23_3(esk1_0,esk2_0,esk3_0) != esk22_3(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_43]),c_0_44]),c_0_36])]) ).
cnf(c_0_47,plain,
( in(esk25_4(X1,X2,X3,X4),powerset(relation_dom(X3)))
| esk21_3(X1,X2,X3) = esk23_3(X1,X2,X3)
| ~ in(X4,esk24_3(X1,X2,X3))
| ~ element(X2,powerset(powerset(X1)))
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,negated_conjecture,
esk25_4(esk1_0,esk2_0,esk3_0,esk4_1(esk24_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_32]),c_0_8]),c_0_9]),c_0_13])]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
in(esk4_1(esk24_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[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_47,c_0_36]),c_0_32]),c_0_8]),c_0_9]),c_0_13])]),c_0_48]),c_0_46]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_49]),c_0_44]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU297+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 : n012.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 13:21:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.61 start to proof: theBenchmark
% 0.75/0.81 % Version : CSE_E---1.5
% 0.75/0.81 % Problem : theBenchmark.p
% 0.75/0.81 % Proof found
% 0.75/0.81 % SZS status Theorem for theBenchmark.p
% 0.75/0.81 % SZS output start Proof
% See solution above
% 0.75/0.82 % Total time : 0.188000 s
% 0.75/0.82 % SZS output end Proof
% 0.75/0.82 % Total time : 0.192000 s
%------------------------------------------------------------------------------