%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 : 600s
% DateTime : Tue Jul 19 09:18:45 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 365 ( 73 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 517 ( 207 ~; 265 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 124 ( 1 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e6_27__finset_1) ).
fof(c_0_2,plain,
! [X7,X8,X9,X14,X14,X16] :
( ( in(esk9_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk6_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk9_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk6_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,X14),X8)
| ~ in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk6_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk6_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(esk9_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk6_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk9_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk6_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,X14),X8)
| ~ in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk6_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk6_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(esk9_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk9_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,X14),X8)
| ~ in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk8_3(X7,X8,X9))
| esk5_3(X7,X8,X9) = esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(esk9_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk7_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk9_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk7_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,X14),X8)
| ~ in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk7_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk8_3(X7,X8,X9))
| in(relation_image(X9,esk7_3(X7,X8,X9)),X8)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(esk9_4(X7,X8,X9,X14),powerset(relation_dom(X9)))
| ~ in(X14,esk8_3(X7,X8,X9))
| esk6_3(X7,X8,X9) != esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( esk9_4(X7,X8,X9,X14) = X14
| ~ in(X14,esk8_3(X7,X8,X9))
| esk6_3(X7,X8,X9) != esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( in(relation_image(X9,X14),X8)
| ~ in(X14,esk8_3(X7,X8,X9))
| esk6_3(X7,X8,X9) != esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) )
& ( ~ in(X16,powerset(relation_dom(X9)))
| X16 != X14
| ~ in(relation_image(X9,X14),X8)
| in(X14,esk8_3(X7,X8,X9))
| esk6_3(X7,X8,X9) != esk7_3(X7,X8,X9)
| ~ element(X8,powerset(powerset(X7)))
| ~ relation(X9)
| ~ function(X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[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,
( esk5_3(X3,X2,X1) = esk6_3(X3,X2,X1)
| in(X4,esk8_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(relation_image(X1,X4),X2)
| X5 != X4
| ~ in(X5,powerset(relation_dom(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X9] :
( element(esk2_0,powerset(powerset(esk1_0)))
& relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk4_1(X9),X9)
| ~ in(esk4_1(X9),powerset(relation_dom(esk3_0)))
| ~ in(relation_image(esk3_0,esk4_1(X9)),esk2_0) )
& ( in(esk4_1(X9),powerset(relation_dom(esk3_0)))
| in(esk4_1(X9),X9) )
& ( in(relation_image(esk3_0,esk4_1(X9)),esk2_0)
| in(esk4_1(X9),X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])])]) ).
cnf(c_0_6,plain,
( esk5_3(X1,X2,X3) = esk6_3(X1,X2,X3)
| in(X4,esk8_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),X1)
| in(esk4_1(X1),powerset(relation_dom(esk3_0))) ),
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,
( esk5_3(X1,X2,esk3_0) = esk6_3(X1,X2,esk3_0)
| in(esk4_1(X3),esk8_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(esk4_1(X1),X1)
| in(relation_image(esk3_0,esk4_1(X1)),esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( esk5_3(X3,X2,X1) = esk6_3(X3,X2,X1)
| in(esk9_4(X3,X2,X1,X4),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
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,
( esk5_3(X1,esk2_0,esk3_0) = esk6_3(X1,esk2_0,esk3_0)
| in(esk4_1(X2),esk8_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_15,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,X2),powerset(relation_dom(X1)))
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( esk5_3(X3,X2,X1) = esk6_3(X3,X2,X1)
| esk9_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,plain,
( esk5_3(X3,X2,X1) = esk7_3(X3,X2,X1)
| in(X4,esk8_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(relation_image(X1,X4),X2)
| X5 != X4
| ~ in(X5,powerset(relation_dom(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk8_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))),powerset(relation_dom(X1)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( esk9_4(X1,X2,X3,esk4_1(esk8_3(X1,X2,X3))) = esk4_1(esk8_3(X1,X2,X3))
| esk5_3(X1,X2,X3) = esk6_3(X1,X2,X3)
| in(esk4_1(esk8_3(X1,X2,X3)),powerset(relation_dom(esk3_0)))
| ~ function(X3)
| ~ relation(X3)
| ~ element(X2,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_21,plain,
( esk5_3(X1,X2,X3) = esk7_3(X1,X2,X3)
| in(X4,esk8_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_17]) ).
cnf(c_0_22,plain,
( esk5_3(X3,X2,X1) = esk6_3(X3,X2,X1)
| in(relation_image(X1,X4),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),esk8_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk6_3(esk1_0,esk2_0,X1)
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_13])]) ).
cnf(c_0_25,negated_conjecture,
( esk5_3(X1,X2,esk3_0) = esk7_3(X1,X2,esk3_0)
| in(esk4_1(X3),esk8_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_26,negated_conjecture,
( ~ in(relation_image(esk3_0,esk4_1(X1)),esk2_0)
| ~ 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_27,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk8_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_22,c_0_23]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_28,negated_conjecture,
( esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_8]),c_0_9])]) ).
cnf(c_0_29,negated_conjecture,
( esk5_3(X1,esk2_0,esk3_0) = esk7_3(X1,esk2_0,esk3_0)
| in(esk4_1(X2),esk8_3(X1,esk2_0,esk3_0))
| in(esk4_1(X2),X2)
| ~ element(esk2_0,powerset(powerset(X1))) ),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_30,negated_conjecture,
esk5_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_23]),c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk8_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_13]),c_0_30]) ).
cnf(c_0_32,plain,
( in(X4,esk8_3(X3,X2,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| esk6_3(X3,X2,X1) != esk7_3(X3,X2,X1)
| ~ in(relation_image(X1,X4),X2)
| X5 != X4
| ~ in(X5,powerset(relation_dom(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,plain,
( esk5_3(X3,X2,X1) = esk7_3(X3,X2,X1)
| in(esk9_4(X3,X2,X1,X4),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_34,plain,
( esk5_3(X3,X2,X1) = esk7_3(X3,X2,X1)
| in(relation_image(X1,X4),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),esk8_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
( in(X1,esk8_3(X2,X3,X4))
| esk7_3(X2,X3,X4) != esk6_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_32]) ).
cnf(c_0_37,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,X2),powerset(relation_dom(X1)))
| ~ in(X2,esk8_3(esk1_0,esk2_0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_13]) ).
cnf(c_0_38,plain,
( esk5_3(X3,X2,X1) = esk7_3(X3,X2,X1)
| esk9_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_39,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| in(relation_image(esk3_0,esk4_1(esk8_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_30]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_40,negated_conjecture,
( in(esk4_1(X1),esk8_3(X2,X3,esk3_0))
| in(esk4_1(X1),X1)
| esk7_3(X2,X3,esk3_0) != esk6_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_36,c_0_7]),c_0_8]),c_0_9])]) ).
cnf(c_0_41,negated_conjecture,
( esk5_3(esk1_0,esk2_0,X1) = esk7_3(esk1_0,esk2_0,X1)
| in(esk9_4(esk1_0,esk2_0,X1,esk4_1(esk8_3(esk1_0,esk2_0,X1))),powerset(relation_dom(X1)))
| in(esk4_1(esk8_3(esk1_0,esk2_0,X1)),powerset(relation_dom(esk3_0)))
| ~ function(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_7]) ).
cnf(c_0_42,negated_conjecture,
( esk9_4(esk1_0,esk2_0,esk3_0,esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk8_3(esk1_0,esk2_0,esk3_0))
| esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_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_38,c_0_35]),c_0_30]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_43,negated_conjecture,
( esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),powerset(relation_dom(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_39]),c_0_35]) ).
cnf(c_0_44,negated_conjecture,
( in(esk4_1(X1),esk8_3(X2,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk7_3(X2,esk2_0,esk3_0) != esk6_3(X2,esk2_0,esk3_0)
| ~ element(esk2_0,powerset(powerset(X2))) ),
inference(spm,[status(thm)],[c_0_40,c_0_11]) ).
cnf(c_0_45,negated_conjecture,
esk7_3(esk1_0,esk2_0,esk3_0) = esk6_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[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_30]),c_0_8]),c_0_9])]),c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( in(esk4_1(X1),esk8_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_13])]) ).
cnf(c_0_47,plain,
( in(esk9_4(X3,X2,X1,X4),powerset(relation_dom(X1)))
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| esk6_3(X3,X2,X1) != esk7_3(X3,X2,X1)
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_48,plain,
( esk9_4(X3,X2,X1,X4) = X4
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| esk6_3(X3,X2,X1) != esk7_3(X3,X2,X1)
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_49,plain,
( in(relation_image(X1,X4),X2)
| ~ function(X1)
| ~ relation(X1)
| ~ element(X2,powerset(powerset(X3)))
| esk6_3(X3,X2,X1) != esk7_3(X3,X2,X1)
| ~ in(X4,esk8_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_50,negated_conjecture,
in(esk4_1(esk8_3(esk1_0,esk2_0,esk3_0)),esk8_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_46]) ).
cnf(c_0_51,plain,
( in(X1,powerset(relation_dom(X2)))
| esk7_3(X3,X4,X2) != esk6_3(X3,X4,X2)
| ~ in(X1,esk8_3(X3,X4,X2))
| ~ function(X2)
| ~ relation(X2)
| ~ element(X4,powerset(powerset(X3))) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
in(relation_image(esk3_0,esk4_1(esk8_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_45]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_53,negated_conjecture,
in(esk4_1(esk8_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_45]),c_0_8]),c_0_9]),c_0_13])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_52]),c_0_50])]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU297+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 00:43:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.44 # Preprocessing time : 0.019 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 55
% 0.26/1.44 # Proof object clause steps : 50
% 0.26/1.44 # Proof object formula steps : 5
% 0.26/1.44 # Proof object conjectures : 37
% 0.26/1.44 # Proof object clause conjectures : 34
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 18
% 0.26/1.44 # Proof object initial formulas used : 2
% 0.26/1.44 # Proof object generating inferences : 29
% 0.26/1.44 # Proof object simplifying inferences : 55
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 37
% 0.26/1.44 # Removed by relevancy pruning/SinE : 10
% 0.26/1.44 # Initial clauses : 72
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 72
% 0.26/1.44 # Processed clauses : 204
% 0.26/1.44 # ...of these trivial : 3
% 0.26/1.44 # ...subsumed : 31
% 0.26/1.44 # ...remaining for further processing : 169
% 0.26/1.44 # Other redundant clauses eliminated : 5
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 2
% 0.26/1.44 # Backward-rewritten : 17
% 0.26/1.44 # Generated clauses : 609
% 0.26/1.44 # ...of the previous two non-trivial : 568
% 0.26/1.44 # Contextual simplify-reflections : 28
% 0.26/1.44 # Paramodulations : 596
% 0.26/1.44 # Factorizations : 8
% 0.26/1.44 # Equation resolutions : 5
% 0.26/1.44 # Current number of processed clauses : 145
% 0.26/1.44 # Positive orientable unit clauses : 29
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 7
% 0.26/1.44 # Non-unit-clauses : 109
% 0.26/1.44 # Current number of unprocessed clauses: 338
% 0.26/1.44 # ...number of literals in the above : 2630
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 19
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 6325
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 1549
% 0.26/1.44 # Non-unit clause-clause subsumptions : 58
% 0.26/1.44 # Unit Clause-clause subsumption calls : 150
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 14
% 0.26/1.44 # BW rewrite match successes : 2
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 23961
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.056 s
% 0.26/1.44 # System time : 0.008 s
% 0.26/1.44 # Total time : 0.064 s
% 0.26/1.44 # Maximum resident set size: 3864 pages
%------------------------------------------------------------------------------