TSTP Solution File: SEU361+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 09:19:22 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 177 ( 19 equ)
% Maximal formula atoms : 50 ( 4 avg)
% Number of connectives : 230 ( 92 ~; 89 |; 31 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 44 ( 1 sgn 26 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc1_xboole_0) ).
fof(t6_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( relstr_set_smaller(X1,empty_set,X2)
& relstr_element_smaller(X1,empty_set,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t6_yellow_0) ).
fof(t44_yellow_0,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t44_yellow_0) ).
fof(t30_yellow_0,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t30_yellow_0) ).
fof(t42_yellow_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ( ex_sup_of_relstr_set(X1,empty_set)
& ex_inf_of_relstr_set(X1,the_carrier(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t42_yellow_0) ).
fof(d11_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> bottom_of_relstr(X1) = join_on_relstr(X1,empty_set) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d11_yellow_0) ).
fof(dt_k3_yellow_0,axiom,
! [X1] :
( rel_str(X1)
=> element(bottom_of_relstr(X1),the_carrier(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_yellow_0) ).
fof(c_0_8,plain,
! [X2] :
( ~ empty(X2)
| X2 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_9,plain,
empty(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ( relstr_set_smaller(X3,empty_set,X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3) )
& ( relstr_element_smaller(X3,empty_set,X4)
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_yellow_0])])])])])]) ).
cnf(c_0_11,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
empty(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& antisymmetric_relstr(X1)
& lower_bounded_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> related(X1,bottom_of_relstr(X1),X2) ) ),
inference(assume_negation,[status(cth)],[t44_yellow_0]) ).
fof(c_0_14,plain,
! [X5,X6,X7,X8,X7] :
( ( relstr_set_smaller(X5,X7,X6)
| X6 != join_on_relstr(X5,X7)
| ~ ex_sup_of_relstr_set(X5,X7)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X7,X8)
| related(X5,X6,X8)
| X6 != join_on_relstr(X5,X7)
| ~ ex_sup_of_relstr_set(X5,X7)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( X6 = join_on_relstr(X5,X7)
| element(esk8_3(X5,X6,X7),the_carrier(X5))
| ~ relstr_set_smaller(X5,X7,X6)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ex_sup_of_relstr_set(X5,X7)
| element(esk8_3(X5,X6,X7),the_carrier(X5))
| ~ relstr_set_smaller(X5,X7,X6)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( X6 = join_on_relstr(X5,X7)
| relstr_set_smaller(X5,X7,esk8_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X7,X6)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ex_sup_of_relstr_set(X5,X7)
| relstr_set_smaller(X5,X7,esk8_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X7,X6)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( X6 = join_on_relstr(X5,X7)
| ~ related(X5,X6,esk8_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X7,X6)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ex_sup_of_relstr_set(X5,X7)
| ~ related(X5,X6,esk8_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X7,X6)
| ~ element(X6,the_carrier(X5))
| ~ antisymmetric_relstr(X5)
| ~ rel_str(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)],[t30_yellow_0])])])])])])]) ).
cnf(c_0_15,plain,
( relstr_set_smaller(X1,empty_set,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
empty_set = esk5_0,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,negated_conjecture,
( ~ empty_carrier(esk9_0)
& antisymmetric_relstr(esk9_0)
& lower_bounded_relstr(esk9_0)
& rel_str(esk9_0)
& element(esk10_0,the_carrier(esk9_0))
& ~ related(esk9_0,bottom_of_relstr(esk9_0),esk10_0) ),
inference(skolemize,[status(esa)],[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)],[c_0_13])])])])])]) ).
cnf(c_0_18,plain,
( related(X1,X2,X4)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| X2 != join_on_relstr(X1,X3)
| ~ relstr_set_smaller(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( relstr_set_smaller(X1,esk5_0,X2)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_20,plain,
! [X2] :
( ( ex_sup_of_relstr_set(X2,empty_set)
| empty_carrier(X2)
| ~ antisymmetric_relstr(X2)
| ~ lower_bounded_relstr(X2)
| ~ rel_str(X2) )
& ( ex_inf_of_relstr_set(X2,the_carrier(X2))
| empty_carrier(X2)
| ~ antisymmetric_relstr(X2)
| ~ lower_bounded_relstr(X2)
| ~ rel_str(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t42_yellow_0])])])]) ).
cnf(c_0_21,negated_conjecture,
~ related(esk9_0,bottom_of_relstr(esk9_0),esk10_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( related(X1,X2,X3)
| X2 != join_on_relstr(X1,esk5_0)
| ~ ex_sup_of_relstr_set(X1,esk5_0)
| ~ antisymmetric_relstr(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
antisymmetric_relstr(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
element(esk10_0,the_carrier(esk9_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
rel_str(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( empty_carrier(X1)
| ex_sup_of_relstr_set(X1,empty_set)
| ~ rel_str(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_27,plain,
! [X2] :
( ~ rel_str(X2)
| bottom_of_relstr(X2) = join_on_relstr(X2,empty_set) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_yellow_0])]) ).
cnf(c_0_28,negated_conjecture,
( join_on_relstr(esk9_0,esk5_0) != bottom_of_relstr(esk9_0)
| ~ ex_sup_of_relstr_set(esk9_0,esk5_0)
| ~ element(bottom_of_relstr(esk9_0),the_carrier(esk9_0)) ),
inference(cn,[status(thm)],[inference(rw,[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]),c_0_25])]) ).
cnf(c_0_29,plain,
( ex_sup_of_relstr_set(X1,esk5_0)
| empty_carrier(X1)
| ~ lower_bounded_relstr(X1)
| ~ antisymmetric_relstr(X1)
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_30,negated_conjecture,
lower_bounded_relstr(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
~ empty_carrier(esk9_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,plain,
( bottom_of_relstr(X1) = join_on_relstr(X1,empty_set)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( join_on_relstr(esk9_0,esk5_0) != bottom_of_relstr(esk9_0)
| ~ element(bottom_of_relstr(esk9_0),the_carrier(esk9_0)) ),
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_28,c_0_29]),c_0_30]),c_0_23]),c_0_25])]),c_0_31]) ).
cnf(c_0_34,plain,
( join_on_relstr(X1,esk5_0) = bottom_of_relstr(X1)
| ~ rel_str(X1) ),
inference(rw,[status(thm)],[c_0_32,c_0_16]) ).
fof(c_0_35,plain,
! [X2] :
( ~ rel_str(X2)
| element(bottom_of_relstr(X2),the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])]) ).
cnf(c_0_36,negated_conjecture,
~ element(bottom_of_relstr(esk9_0),the_carrier(esk9_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]) ).
cnf(c_0_37,plain,
( element(bottom_of_relstr(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU361+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Sun Jun 19 23:04:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.016 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 39
% 0.22/1.41 # Proof object clause steps : 22
% 0.22/1.41 # Proof object formula steps : 17
% 0.22/1.41 # Proof object conjectures : 13
% 0.22/1.41 # Proof object clause conjectures : 10
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 13
% 0.22/1.41 # Proof object initial formulas used : 8
% 0.22/1.41 # Proof object generating inferences : 6
% 0.22/1.41 # Proof object simplifying inferences : 16
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 28
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 44
% 0.22/1.41 # Removed in clause preprocessing : 4
% 0.22/1.41 # Initial clauses in saturation : 40
% 0.22/1.41 # Processed clauses : 74
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 4
% 0.22/1.41 # ...remaining for further processing : 70
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 2
% 0.22/1.41 # Backward-rewritten : 6
% 0.22/1.41 # Generated clauses : 44
% 0.22/1.41 # ...of the previous two non-trivial : 43
% 0.22/1.41 # Contextual simplify-reflections : 6
% 0.22/1.41 # Paramodulations : 43
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 1
% 0.22/1.41 # Current number of processed clauses : 62
% 0.22/1.41 # Positive orientable unit clauses : 11
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 8
% 0.22/1.41 # Non-unit-clauses : 43
% 0.22/1.41 # Current number of unprocessed clauses: 6
% 0.22/1.41 # ...number of literals in the above : 48
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 8
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 681
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 84
% 0.22/1.41 # Non-unit clause-clause subsumptions : 11
% 0.22/1.41 # Unit Clause-clause subsumption calls : 10
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 1
% 0.22/1.41 # BW rewrite match successes : 1
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 3338
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.018 s
% 0.22/1.41 # System time : 0.002 s
% 0.22/1.41 # Total time : 0.020 s
% 0.22/1.41 # Maximum resident set size: 2924 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------