TSTP Solution File: SEU310+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 09:18:52 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 344 ( 75 equ)
% Maximal formula atoms : 130 ( 6 avg)
% Number of connectives : 478 ( 189 ~; 244 |; 37 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 86 ( 1 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e2_37_1_1__pre_topc__1) ).
fof(c_0_2,plain,
! [X6,X7,X12,X12,X14] :
( ( in(esk8_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk5_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk8_3(X6,X7,X12) = X12
| ~ in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk5_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk5_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk5_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(esk8_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk5_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk8_3(X6,X7,X12) = X12
| ~ in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk5_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk5_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk5_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(esk8_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk8_3(X6,X7,X12) = X12
| ~ in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk7_2(X6,X7))
| esk4_2(X6,X7) = esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(esk8_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk6_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk8_3(X6,X7,X12) = X12
| ~ in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk6_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk6_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk7_2(X6,X7))
| in(set_difference(cast_as_carrier_subset(X6),esk6_2(X6,X7)),X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(esk8_3(X6,X7,X12),powerset(the_carrier(X6)))
| ~ in(X12,esk7_2(X6,X7))
| esk5_2(X6,X7) != esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( esk8_3(X6,X7,X12) = X12
| ~ in(X12,esk7_2(X6,X7))
| esk5_2(X6,X7) != esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| ~ in(X12,esk7_2(X6,X7))
| esk5_2(X6,X7) != esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) )
& ( ~ in(X14,powerset(the_carrier(X6)))
| X14 != X12
| ~ in(set_difference(cast_as_carrier_subset(X6),X12),X7)
| in(X12,esk7_2(X6,X7))
| esk5_2(X6,X7) != esk6_2(X6,X7)
| ~ topological_space(X6)
| ~ top_str(X6)
| ~ element(X7,powerset(powerset(the_carrier(X6)))) ) ),
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__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,
( esk4_2(X2,X1) = esk5_2(X2,X1)
| in(X3,esk7_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| X4 != X3
| ~ in(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X7] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( ~ in(esk3_1(X7),X7)
| ~ in(esk3_1(X7),powerset(the_carrier(esk1_0)))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X7)),esk2_0) )
& ( in(esk3_1(X7),powerset(the_carrier(esk1_0)))
| in(esk3_1(X7),X7) )
& ( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X7)),esk2_0)
| in(esk3_1(X7),X7) ) ),
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,
( esk4_2(X1,X2) = esk5_2(X1,X2)
| in(X3,esk7_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),X1)
| 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_8,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( in(esk3_1(X1),X1)
| in(esk3_1(X1),powerset(the_carrier(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( esk4_2(X2,X1) = esk5_2(X2,X1)
| in(esk8_3(X2,X1,X3),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,plain,
( esk4_2(X2,X1) = esk5_2(X2,X1)
| esk8_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,plain,
( esk4_2(X2,X1) = esk6_2(X2,X1)
| in(X3,esk7_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| X4 != X3
| ~ in(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,plain,
( esk4_2(X2,X1) = esk6_2(X2,X1)
| in(esk8_3(X2,X1,X3),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,plain,
( esk4_2(X2,X1) = esk6_2(X2,X1)
| esk8_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
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_6,c_0_7]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk8_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk7_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_19,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| esk8_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk7_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_20,plain,
( esk4_2(X1,X2) = esk6_2(X1,X2)
| in(X3,esk7_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_14]) ).
cnf(c_0_21,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk8_3(esk1_0,esk2_0,X1),powerset(the_carrier(esk1_0)))
| ~ in(X1,esk7_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_22,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| esk8_3(esk1_0,esk2_0,X1) = X1
| ~ in(X1,esk7_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_23,plain,
( esk4_2(X2,X1) = esk5_2(X2,X1)
| in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_24,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_26,negated_conjecture,
( esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))) = esk3_1(esk7_2(esk1_0,esk2_0))
| esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_27,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
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_20,c_0_7]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_28,plain,
( in(esk8_3(X2,X1,X3),powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| esk5_2(X2,X1) != esk6_2(X2,X1)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,plain,
( esk8_3(X2,X1,X3) = X3
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| esk5_2(X2,X1) != esk6_2(X2,X1)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_31,negated_conjecture,
( esk8_3(esk1_0,esk2_0,esk3_1(esk7_2(esk1_0,esk2_0))) = esk3_1(esk7_2(esk1_0,esk2_0))
| esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_22,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ 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_33,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_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_23,c_0_24]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_34,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
( esk4_2(X2,X1) = esk6_2(X2,X1)
| in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)) ),
inference(ef,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( in(X1,powerset(the_carrier(X2)))
| esk6_2(X2,X3) != esk5_2(X2,X3)
| ~ in(X1,esk7_2(X2,X3))
| ~ element(X3,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
esk4_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24]),c_0_34]) ).
cnf(c_0_40,plain,
( in(X3,esk7_2(X2,X1))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| esk5_2(X2,X1) != esk6_2(X2,X1)
| ~ in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| X4 != X3
| ~ in(X4,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( esk4_2(esk1_0,esk2_0) = esk6_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_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_35,c_0_36]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_42,negated_conjecture,
( in(esk3_1(esk7_2(X1,X2)),powerset(the_carrier(esk1_0)))
| in(esk3_1(esk7_2(X1,X2)),powerset(the_carrier(X1)))
| esk6_2(X1,X2) != esk5_2(X1,X2)
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_11]) ).
cnf(c_0_43,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))) ),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( in(X1,esk7_2(X2,X3))
| esk6_2(X2,X3) != esk5_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_40]) ).
cnf(c_0_45,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_2(esk1_0,esk2_0))),esk2_0) ),
inference(rw,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
in(esk3_1(esk7_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_8]),c_0_9]),c_0_10])]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0)
| in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[c_0_36,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1)
| esk6_2(esk1_0,esk2_0) != esk5_2(esk1_0,esk2_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_44,c_0_7]),c_0_8]),c_0_9]),c_0_10])]),c_0_11]) ).
cnf(c_0_49,negated_conjecture,
esk6_2(esk1_0,esk2_0) = esk5_2(esk1_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_45]),c_0_46])]),c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( in(esk3_1(X1),esk7_2(esk1_0,esk2_0))
| in(esk3_1(X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_51,plain,
( in(set_difference(cast_as_carrier_subset(X2),X3),X1)
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| esk5_2(X2,X1) != esk6_2(X2,X1)
| ~ in(X3,esk7_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,negated_conjecture,
in(esk3_1(esk7_2(esk1_0,esk2_0)),esk7_2(esk1_0,esk2_0)),
inference(ef,[status(thm)],[c_0_50]) ).
cnf(c_0_53,negated_conjecture,
in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk7_2(esk1_0,esk2_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_51,c_0_52]),c_0_49]),c_0_8]),c_0_9]),c_0_10])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_46]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU310+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 22:52:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.018 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 55
% 0.23/1.41 # Proof object clause steps : 50
% 0.23/1.41 # Proof object formula steps : 5
% 0.23/1.41 # Proof object conjectures : 37
% 0.23/1.41 # Proof object clause conjectures : 34
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 18
% 0.23/1.41 # Proof object initial formulas used : 2
% 0.23/1.41 # Proof object generating inferences : 25
% 0.23/1.41 # Proof object simplifying inferences : 60
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 36
% 0.23/1.41 # Removed by relevancy pruning/SinE : 14
% 0.23/1.41 # Initial clauses : 77
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 77
% 0.23/1.41 # Processed clauses : 368
% 0.23/1.41 # ...of these trivial : 17
% 0.23/1.41 # ...subsumed : 52
% 0.23/1.41 # ...remaining for further processing : 299
% 0.23/1.41 # Other redundant clauses eliminated : 5
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 12
% 0.23/1.41 # Backward-rewritten : 50
% 0.23/1.41 # Generated clauses : 925
% 0.23/1.41 # ...of the previous two non-trivial : 872
% 0.23/1.41 # Contextual simplify-reflections : 70
% 0.23/1.41 # Paramodulations : 908
% 0.23/1.41 # Factorizations : 12
% 0.23/1.41 # Equation resolutions : 5
% 0.23/1.41 # Current number of processed clauses : 232
% 0.23/1.41 # Positive orientable unit clauses : 64
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 5
% 0.23/1.41 # Non-unit-clauses : 163
% 0.23/1.41 # Current number of unprocessed clauses: 284
% 0.23/1.41 # ...number of literals in the above : 2238
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 62
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 18858
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 4634
% 0.23/1.41 # Non-unit clause-clause subsumptions : 132
% 0.23/1.41 # Unit Clause-clause subsumption calls : 465
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 378
% 0.23/1.41 # BW rewrite match successes : 4
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 35917
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.080 s
% 0.23/1.41 # System time : 0.003 s
% 0.23/1.41 # Total time : 0.083 s
% 0.23/1.41 # Maximum resident set size: 4148 pages
%------------------------------------------------------------------------------