TSTP Solution File: SET627+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET627+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 00:52:40 EDT 2022
% Result : Theorem 0.27s 1.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 8 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 6 sgn 17 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th104,conjecture,
! [X1] : disjoint(X1,empty_set),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_th104) ).
fof(disjoint_defn,axiom,
! [X1,X2] :
( disjoint(X1,X2)
<=> ~ intersect(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',disjoint_defn) ).
fof(empty_set_defn,axiom,
! [X1] : ~ member(X1,empty_set),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',empty_set_defn) ).
fof(intersect_defn,axiom,
! [X1,X2] :
( intersect(X1,X2)
<=> ? [X3] :
( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',intersect_defn) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] : disjoint(X1,empty_set),
inference(assume_negation,[status(cth)],[prove_th104]) ).
fof(c_0_5,negated_conjecture,
~ disjoint(esk1_0,empty_set),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X3,X4,X3,X4] :
( ( ~ disjoint(X3,X4)
| ~ intersect(X3,X4) )
& ( intersect(X3,X4)
| disjoint(X3,X4) ) ),
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)],[disjoint_defn])])])])]) ).
fof(c_0_7,plain,
! [X2] : ~ member(X2,empty_set),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[empty_set_defn])]) ).
fof(c_0_8,plain,
! [X4,X5,X4,X5,X7] :
( ( member(esk2_2(X4,X5),X4)
| ~ intersect(X4,X5) )
& ( member(esk2_2(X4,X5),X5)
| ~ intersect(X4,X5) )
& ( ~ member(X7,X4)
| ~ member(X7,X5)
| intersect(X4,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)],[intersect_defn])])])])])])]) ).
cnf(c_0_9,negated_conjecture,
~ disjoint(esk1_0,empty_set),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( disjoint(X1,X2)
| intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ member(X1,empty_set),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( member(esk2_2(X1,X2),X2)
| ~ intersect(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
intersect(esk1_0,empty_set),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
~ intersect(X1,empty_set),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SET627+3 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jul 10 14:59:18 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.27/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.44 # Preprocessing time : 0.014 s
% 0.27/1.44
% 0.27/1.44 # Proof found!
% 0.27/1.44 # SZS status Theorem
% 0.27/1.44 # SZS output start CNFRefutation
% See solution above
% 0.27/1.44 # Proof object total steps : 16
% 0.27/1.44 # Proof object clause steps : 7
% 0.27/1.44 # Proof object formula steps : 9
% 0.27/1.44 # Proof object conjectures : 6
% 0.27/1.44 # Proof object clause conjectures : 3
% 0.27/1.44 # Proof object formula conjectures : 3
% 0.27/1.44 # Proof object initial clauses used : 4
% 0.27/1.44 # Proof object initial formulas used : 4
% 0.27/1.44 # Proof object generating inferences : 2
% 0.27/1.44 # Proof object simplifying inferences : 1
% 0.27/1.44 # Training examples: 0 positive, 0 negative
% 0.27/1.44 # Parsed axioms : 6
% 0.27/1.44 # Removed by relevancy pruning/SinE : 1
% 0.27/1.44 # Initial clauses : 8
% 0.27/1.44 # Removed in clause preprocessing : 0
% 0.27/1.44 # Initial clauses in saturation : 8
% 0.27/1.44 # Processed clauses : 11
% 0.27/1.44 # ...of these trivial : 0
% 0.27/1.44 # ...subsumed : 0
% 0.27/1.44 # ...remaining for further processing : 11
% 0.27/1.44 # Other redundant clauses eliminated : 0
% 0.27/1.44 # Clauses deleted for lack of memory : 0
% 0.27/1.44 # Backward-subsumed : 0
% 0.27/1.44 # Backward-rewritten : 0
% 0.27/1.44 # Generated clauses : 9
% 0.27/1.44 # ...of the previous two non-trivial : 6
% 0.27/1.44 # Contextual simplify-reflections : 0
% 0.27/1.44 # Paramodulations : 8
% 0.27/1.44 # Factorizations : 0
% 0.27/1.44 # Equation resolutions : 0
% 0.27/1.44 # Current number of processed clauses : 10
% 0.27/1.44 # Positive orientable unit clauses : 1
% 0.27/1.44 # Positive unorientable unit clauses: 0
% 0.27/1.44 # Negative unit clauses : 3
% 0.27/1.44 # Non-unit-clauses : 6
% 0.27/1.44 # Current number of unprocessed clauses: 3
% 0.27/1.44 # ...number of literals in the above : 7
% 0.27/1.44 # Current number of archived formulas : 0
% 0.27/1.44 # Current number of archived clauses : 1
% 0.27/1.44 # Clause-clause subsumption calls (NU) : 2
% 0.27/1.44 # Rec. Clause-clause subsumption calls : 2
% 0.27/1.44 # Non-unit clause-clause subsumptions : 0
% 0.27/1.44 # Unit Clause-clause subsumption calls : 0
% 0.27/1.44 # Rewrite failures with RHS unbound : 0
% 0.27/1.44 # BW rewrite match attempts : 0
% 0.27/1.44 # BW rewrite match successes : 0
% 0.27/1.44 # Condensation attempts : 0
% 0.27/1.44 # Condensation successes : 0
% 0.27/1.44 # Termbank termtop insertions : 463
% 0.27/1.44
% 0.27/1.44 # -------------------------------------------------
% 0.27/1.44 # User time : 0.014 s
% 0.27/1.44 # System time : 0.001 s
% 0.27/1.44 # Total time : 0.015 s
% 0.27/1.44 # Maximum resident set size: 2768 pages
%------------------------------------------------------------------------------