TSTP Solution File: SEU102+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n011.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 09:16:49 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 61 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 66 ( 26 ~; 20 |; 14 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t13_finsub_1,conjecture,
! [X1,X2,X3] :
( ( ~ empty(X3)
& preboolean(X3) )
=> ( ( element(X1,X3)
& element(X2,X3) )
=> element(set_intersection2(X1,X2),X3) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t13_finsub_1) ).
fof(t48_xboole_1,axiom,
! [X1,X2] : set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t48_xboole_1) ).
fof(dt_k2_finsub_1,axiom,
! [X1,X2,X3] :
( ( ~ empty(X1)
& preboolean(X1)
& element(X2,X1)
& element(X3,X1) )
=> element(prebool_difference(X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k2_finsub_1) ).
fof(redefinition_k2_finsub_1,axiom,
! [X1,X2,X3] :
( ( ~ empty(X1)
& preboolean(X1)
& element(X2,X1)
& element(X3,X1) )
=> prebool_difference(X1,X2,X3) = set_difference(X2,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k2_finsub_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty(X3)
& preboolean(X3) )
=> ( ( element(X1,X3)
& element(X2,X3) )
=> element(set_intersection2(X1,X2),X3) ) ),
inference(assume_negation,[status(cth)],[t13_finsub_1]) ).
fof(c_0_5,negated_conjecture,
( ~ empty(esk13_0)
& preboolean(esk13_0)
& element(esk11_0,esk13_0)
& element(esk12_0,esk13_0)
& ~ element(set_intersection2(esk11_0,esk12_0),esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
! [X3,X4] : set_difference(X3,set_difference(X3,X4)) = set_intersection2(X3,X4),
inference(variable_rename,[status(thm)],[t48_xboole_1]) ).
fof(c_0_7,plain,
! [X4,X5,X6] :
( empty(X4)
| ~ preboolean(X4)
| ~ element(X5,X4)
| ~ element(X6,X4)
| element(prebool_difference(X4,X5,X6),X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_finsub_1])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( empty(X4)
| ~ preboolean(X4)
| ~ element(X5,X4)
| ~ element(X6,X4)
| prebool_difference(X4,X5,X6) = set_difference(X5,X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k2_finsub_1])])]) ).
cnf(c_0_9,negated_conjecture,
~ element(set_intersection2(esk11_0,esk12_0),esk13_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
set_difference(X1,set_difference(X1,X2)) = set_intersection2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( element(prebool_difference(X1,X2,X3),X1)
| empty(X1)
| ~ element(X3,X1)
| ~ element(X2,X1)
| ~ preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
| empty(X1)
| ~ element(X3,X1)
| ~ element(X2,X1)
| ~ preboolean(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
~ element(set_difference(esk11_0,set_difference(esk11_0,esk12_0)),esk13_0),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( element(set_difference(X1,X2),X3)
| empty(X3)
| ~ element(X2,X3)
| ~ element(X1,X3)
| ~ preboolean(X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
element(esk11_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
preboolean(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
~ empty(esk13_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
~ element(set_difference(esk11_0,esk12_0),esk13_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_19,negated_conjecture,
element(esk12_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
$false,
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_18,c_0_14]),c_0_19]),c_0_15]),c_0_16])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n011.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 : 600
% 0.13/0.34 % DateTime : Sat Jun 18 19:35:08 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.017 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 21
% 0.24/1.43 # Proof object clause steps : 12
% 0.24/1.43 # Proof object formula steps : 9
% 0.24/1.43 # Proof object conjectures : 11
% 0.24/1.43 # Proof object clause conjectures : 8
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 8
% 0.24/1.43 # Proof object initial formulas used : 4
% 0.24/1.43 # Proof object generating inferences : 3
% 0.24/1.43 # Proof object simplifying inferences : 10
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 38
% 0.24/1.43 # Removed by relevancy pruning/SinE : 0
% 0.24/1.43 # Initial clauses : 64
% 0.24/1.43 # Removed in clause preprocessing : 1
% 0.24/1.43 # Initial clauses in saturation : 63
% 0.24/1.43 # Processed clauses : 83
% 0.24/1.43 # ...of these trivial : 2
% 0.24/1.43 # ...subsumed : 5
% 0.24/1.43 # ...remaining for further processing : 76
% 0.24/1.43 # Other redundant clauses eliminated : 0
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 0
% 0.24/1.43 # Backward-rewritten : 14
% 0.24/1.43 # Generated clauses : 90
% 0.24/1.43 # ...of the previous two non-trivial : 77
% 0.24/1.43 # Contextual simplify-reflections : 0
% 0.24/1.43 # Paramodulations : 90
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 0
% 0.24/1.43 # Current number of processed clauses : 62
% 0.24/1.43 # Positive orientable unit clauses : 25
% 0.24/1.43 # Positive unorientable unit clauses: 1
% 0.24/1.43 # Negative unit clauses : 7
% 0.24/1.43 # Non-unit-clauses : 29
% 0.24/1.43 # Current number of unprocessed clauses: 45
% 0.24/1.43 # ...number of literals in the above : 126
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 15
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 145
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 51
% 0.24/1.43 # Non-unit clause-clause subsumptions : 5
% 0.24/1.43 # Unit Clause-clause subsumption calls : 9
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 9
% 0.24/1.43 # BW rewrite match successes : 5
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 3560
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.016 s
% 0.24/1.43 # System time : 0.004 s
% 0.24/1.43 # Total time : 0.020 s
% 0.24/1.43 # Maximum resident set size: 2956 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------