TSTP Solution File: SEU311+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : 11
% Number of leaves : 6
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 205 ( 86 ~; 83 |; 22 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 7 sgn 33 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s3_subset_1__e2_37_1_1__pre_topc,conjecture,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s3_subset_1__e2_37_1_1__pre_topc) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ empty(X1)
=> ( element(X2,X1)
<=> in(X2,X1) ) )
& ( empty(X1)
=> ( element(X2,X1)
<=> empty(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_subset_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_boole) ).
fof(s1_xboole_0__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] :
( 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(l71_subset_1,axiom,
! [X1,X2] :
( ! [X3] :
( in(X3,X1)
=> in(X3,X2) )
=> element(X1,powerset(X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l71_subset_1) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ empty(powerset(X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_subset_1) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(powerset(the_carrier(X1)))) )
=> ? [X3] :
( element(X3,powerset(powerset(the_carrier(X1))))
& ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( in(X4,X3)
<=> in(set_difference(cast_as_carrier_subset(X1),X4),X2) ) ) ) ),
inference(assume_negation,[status(cth)],[s3_subset_1__e2_37_1_1__pre_topc]) ).
fof(c_0_7,plain,
! [X3,X4,X4,X3,X4,X4] :
( ( ~ element(X4,X3)
| in(X4,X3)
| empty(X3) )
& ( ~ in(X4,X3)
| element(X4,X3)
| empty(X3) )
& ( ~ element(X4,X3)
| empty(X4)
| ~ empty(X3) )
& ( ~ empty(X4)
| element(X4,X3)
| ~ empty(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_subset_1])])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_9,plain,
! [X5,X6,X8,X8] :
( ( in(X8,powerset(the_carrier(X5)))
| ~ in(X8,esk5_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) )
& ( in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| ~ in(X8,esk5_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) )
& ( ~ in(X8,powerset(the_carrier(X5)))
| ~ in(set_difference(cast_as_carrier_subset(X5),X8),X6)
| in(X8,esk5_2(X5,X6))
| ~ topological_space(X5)
| ~ top_str(X5)
| ~ element(X6,powerset(powerset(the_carrier(X5)))) ) ),
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_xboole_0__e2_37_1_1__pre_topc__1])])])])])])]) ).
fof(c_0_10,plain,
! [X4,X5] :
( ( in(esk4_2(X4,X5),X4)
| element(X4,powerset(X5)) )
& ( ~ in(esk4_2(X4,X5),X5)
| element(X4,powerset(X5)) ) ),
inference(distribute,[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)],[l71_subset_1])])])])])]) ).
fof(c_0_11,negated_conjecture,
! [X7] :
( topological_space(esk1_0)
& top_str(esk1_0)
& element(esk2_0,powerset(powerset(the_carrier(esk1_0))))
& ( element(esk3_1(X7),powerset(the_carrier(esk1_0)))
| ~ element(X7,powerset(powerset(the_carrier(esk1_0)))) )
& ( ~ in(esk3_1(X7),X7)
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X7)),esk2_0)
| ~ element(X7,powerset(powerset(the_carrier(esk1_0)))) )
& ( in(esk3_1(X7),X7)
| in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X7)),esk2_0)
| ~ element(X7,powerset(powerset(the_carrier(esk1_0)))) ) ),
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_6])])])])])])]) ).
cnf(c_0_12,plain,
( empty(X1)
| element(X2,X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( in(X3,powerset(the_carrier(X2)))
| ~ element(X1,powerset(powerset(the_carrier(X2))))
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X3,esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( element(X1,powerset(X2))
| in(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| in(esk3_1(X1),X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(csr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( element(X1,powerset(X2))
| ~ in(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( in(esk4_2(esk5_2(X1,X2),X3),powerset(the_carrier(X1)))
| element(esk5_2(X1,X2),powerset(X3))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( in(esk3_1(X1),X1)
| ~ empty(esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( in(esk3_1(X1),X1)
| element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_22,plain,
( element(esk5_2(X1,X2),powerset(powerset(the_carrier(X1))))
| ~ element(X2,powerset(powerset(the_carrier(X1))))
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25,negated_conjecture,
( ~ empty(esk2_0)
| ~ empty(X1)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
element(esk2_0,powerset(powerset(the_carrier(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,plain,
( 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,esk5_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_28,negated_conjecture,
( in(esk3_1(esk5_2(esk1_0,X1)),esk5_2(esk1_0,X1))
| element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk5_2(esk1_0,X1))),esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_29,negated_conjecture,
( ~ element(X1,powerset(powerset(the_carrier(esk1_0))))
| ~ in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ in(esk3_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_31,negated_conjecture,
~ empty(esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( in(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk5_2(esk1_0,X1))),X1)
| element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk5_2(esk1_0,X1))),esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23]),c_0_24])]) ).
cnf(c_0_33,negated_conjecture,
( ~ in(esk3_1(X1),X1)
| ~ element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(X1)),esk2_0)
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( element(set_difference(cast_as_carrier_subset(esk1_0),esk3_1(esk5_2(esk1_0,esk2_0))),esk2_0)
| ~ element(esk5_2(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_26])]),c_0_21]) ).
cnf(c_0_35,plain,
( in(X3,esk5_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)
| ~ in(X3,powerset(the_carrier(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_36,negated_conjecture,
( ~ in(esk3_1(esk5_2(esk1_0,esk2_0)),esk5_2(esk1_0,esk2_0))
| ~ element(esk5_2(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( empty(X1)
| in(X2,esk5_2(X3,X1))
| ~ in(X2,powerset(the_carrier(X3)))
| ~ element(X1,powerset(powerset(the_carrier(X3))))
| ~ element(set_difference(cast_as_carrier_subset(X3),X2),X1)
| ~ top_str(X3)
| ~ topological_space(X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
fof(c_0_38,plain,
! [X2] : ~ empty(powerset(X2)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_subset_1])]) ).
cnf(c_0_39,negated_conjecture,
( ~ in(esk3_1(esk5_2(esk1_0,esk2_0)),powerset(the_carrier(esk1_0)))
| ~ element(esk5_2(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_26]),c_0_23]),c_0_24])]),c_0_31]),c_0_34]) ).
cnf(c_0_40,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( element(esk3_1(X1),powerset(the_carrier(esk1_0)))
| ~ element(X1,powerset(powerset(the_carrier(esk1_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,negated_conjecture,
~ element(esk5_2(esk1_0,esk2_0),powerset(powerset(the_carrier(esk1_0)))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_30]),c_0_40]),c_0_41]) ).
cnf(c_0_43,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_22]),c_0_26]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.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 : Mon Jun 20 12:41:16 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 : 44
% 0.23/1.41 # Proof object clause steps : 31
% 0.23/1.41 # Proof object formula steps : 13
% 0.23/1.41 # Proof object conjectures : 21
% 0.23/1.41 # Proof object clause conjectures : 18
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 15
% 0.23/1.41 # Proof object initial formulas used : 6
% 0.23/1.41 # Proof object generating inferences : 15
% 0.23/1.41 # Proof object simplifying inferences : 23
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 46
% 0.23/1.41 # Removed by relevancy pruning/SinE : 17
% 0.23/1.41 # Initial clauses : 71
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 71
% 0.23/1.41 # Processed clauses : 1455
% 0.23/1.41 # ...of these trivial : 13
% 0.23/1.41 # ...subsumed : 730
% 0.23/1.41 # ...remaining for further processing : 712
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 159
% 0.23/1.41 # Backward-rewritten : 5
% 0.23/1.41 # Generated clauses : 3070
% 0.23/1.41 # ...of the previous two non-trivial : 2834
% 0.23/1.41 # Contextual simplify-reflections : 601
% 0.23/1.41 # Paramodulations : 3070
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 548
% 0.23/1.41 # Positive orientable unit clauses : 45
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 12
% 0.23/1.41 # Non-unit-clauses : 491
% 0.23/1.41 # Current number of unprocessed clauses: 781
% 0.23/1.41 # ...number of literals in the above : 4571
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 164
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 255068
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 147144
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1217
% 0.23/1.41 # Unit Clause-clause subsumption calls : 743
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 192
% 0.23/1.41 # BW rewrite match successes : 5
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 60140
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.192 s
% 0.23/1.41 # System time : 0.003 s
% 0.23/1.41 # Total time : 0.195 s
% 0.23/1.41 # Maximum resident set size: 5196 pages
%------------------------------------------------------------------------------