TSTP Solution File: SET027+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 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 00:48:02 EDT 2022
% Result : Theorem 0.18s 1.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 34 ( 12 ~; 12 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI03,conjecture,
! [X1,X2,X6] :
( ( subset(X1,X2)
& subset(X2,X6) )
=> subset(X1,X6) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thI03) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X6] :
( ( subset(X1,X2)
& subset(X2,X6) )
=> subset(X1,X6) ),
inference(assume_negation,[status(cth)],[thI03]) ).
fof(c_0_3,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subset(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk4_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ member(esk4_2(X4,X5),X5)
| subset(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)],[subset])])])])])])]) ).
fof(c_0_4,negated_conjecture,
( subset(esk1_0,esk2_0)
& subset(esk2_0,esk3_0)
& ~ subset(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
cnf(c_0_5,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
subset(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( subset(X1,X2)
| ~ member(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( member(X1,esk3_0)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( member(X1,esk2_0)
| ~ member(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_11,plain,
( subset(X1,X2)
| member(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( subset(X1,esk3_0)
| ~ member(esk4_2(X1,esk3_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( member(esk4_2(esk1_0,X1),esk2_0)
| subset(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ subset(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 0.02/0.11 % Command : run_ET %s %d
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Sun Jul 10 08:51:40 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.18/1.38 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.18/1.38 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.18/1.38 # Preprocessing time : 0.012 s
% 0.18/1.38
% 0.18/1.38 # Proof found!
% 0.18/1.38 # SZS status Theorem
% 0.18/1.38 # SZS output start CNFRefutation
% See solution above
% 0.18/1.38 # Proof object total steps : 16
% 0.18/1.38 # Proof object clause steps : 11
% 0.18/1.38 # Proof object formula steps : 5
% 0.18/1.38 # Proof object conjectures : 11
% 0.18/1.38 # Proof object clause conjectures : 8
% 0.18/1.38 # Proof object formula conjectures : 3
% 0.18/1.38 # Proof object initial clauses used : 6
% 0.18/1.38 # Proof object initial formulas used : 2
% 0.18/1.38 # Proof object generating inferences : 5
% 0.18/1.38 # Proof object simplifying inferences : 1
% 0.18/1.38 # Training examples: 0 positive, 0 negative
% 0.18/1.38 # Parsed axioms : 12
% 0.18/1.38 # Removed by relevancy pruning/SinE : 10
% 0.18/1.38 # Initial clauses : 6
% 0.18/1.38 # Removed in clause preprocessing : 0
% 0.18/1.38 # Initial clauses in saturation : 6
% 0.18/1.38 # Processed clauses : 11
% 0.18/1.38 # ...of these trivial : 0
% 0.18/1.38 # ...subsumed : 0
% 0.18/1.38 # ...remaining for further processing : 11
% 0.18/1.38 # Other redundant clauses eliminated : 0
% 0.18/1.38 # Clauses deleted for lack of memory : 0
% 0.18/1.38 # Backward-subsumed : 0
% 0.18/1.38 # Backward-rewritten : 0
% 0.18/1.38 # Generated clauses : 9
% 0.18/1.38 # ...of the previous two non-trivial : 5
% 0.18/1.38 # Contextual simplify-reflections : 0
% 0.18/1.38 # Paramodulations : 9
% 0.18/1.38 # Factorizations : 0
% 0.18/1.38 # Equation resolutions : 0
% 0.18/1.38 # Current number of processed clauses : 11
% 0.18/1.38 # Positive orientable unit clauses : 3
% 0.18/1.38 # Positive unorientable unit clauses: 0
% 0.18/1.38 # Negative unit clauses : 1
% 0.18/1.38 # Non-unit-clauses : 7
% 0.18/1.38 # Current number of unprocessed clauses: 0
% 0.18/1.38 # ...number of literals in the above : 0
% 0.18/1.38 # Current number of archived formulas : 0
% 0.18/1.38 # Current number of archived clauses : 0
% 0.18/1.38 # Clause-clause subsumption calls (NU) : 5
% 0.18/1.38 # Rec. Clause-clause subsumption calls : 5
% 0.18/1.38 # Non-unit clause-clause subsumptions : 0
% 0.18/1.38 # Unit Clause-clause subsumption calls : 2
% 0.18/1.38 # Rewrite failures with RHS unbound : 0
% 0.18/1.38 # BW rewrite match attempts : 5
% 0.18/1.38 # BW rewrite match successes : 0
% 0.18/1.38 # Condensation attempts : 0
% 0.18/1.38 # Condensation successes : 0
% 0.18/1.38 # Termbank termtop insertions : 515
% 0.18/1.38
% 0.18/1.38 # -------------------------------------------------
% 0.18/1.38 # User time : 0.011 s
% 0.18/1.38 # System time : 0.002 s
% 0.18/1.38 # Total time : 0.013 s
% 0.18/1.38 # Maximum resident set size: 2812 pages
%------------------------------------------------------------------------------