TSTP Solution File: GEO219+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n007.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 : Sat Jul 16 04:04:50 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 : 20 ( 6 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 75 ( 34 ~; 28 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ convergent_lines(X6,X8) )
=> ~ unorthogonal_lines(X7,X8) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(cotno1,axiom,
! [X6,X7,X8] :
( ( ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) )
& ( ~ convergent_lines(X6,X8)
| ~ unorthogonal_lines(X6,X8) ) )
=> ( ~ convergent_lines(X7,X8)
| ~ unorthogonal_lines(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',cotno1) ).
fof(coipo1,axiom,
! [X6,X7] :
~ ( ~ convergent_lines(X6,X7)
& ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ convergent_lines(X6,X8) )
=> ~ unorthogonal_lines(X7,X8) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,plain,
! [X9,X10,X11] :
( ( convergent_lines(X9,X11)
| convergent_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( unorthogonal_lines(X9,X11)
| convergent_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( convergent_lines(X9,X11)
| unorthogonal_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( unorthogonal_lines(X9,X11)
| unorthogonal_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cotno1])])])]) ).
fof(c_0_6,negated_conjecture,
( ~ unorthogonal_lines(esk1_0,esk2_0)
& ~ convergent_lines(esk1_0,esk3_0)
& unorthogonal_lines(esk2_0,esk3_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_7,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[coipo1])])]) ).
cnf(c_0_8,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ~ convergent_lines(X4,X5)
| convergent_lines(X4,X6)
| convergent_lines(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])]) ).
cnf(c_0_11,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,esk3_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
~ convergent_lines(esk2_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n007.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 13:16:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.014 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
% 0.24/1.42 # Proof object total steps : 20
% 0.24/1.42 # Proof object clause steps : 11
% 0.24/1.42 # Proof object formula steps : 9
% 0.24/1.42 # Proof object conjectures : 11
% 0.24/1.42 # Proof object clause conjectures : 8
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 6
% 0.24/1.42 # Proof object initial formulas used : 4
% 0.24/1.42 # Proof object generating inferences : 5
% 0.24/1.42 # Proof object simplifying inferences : 2
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 18
% 0.24/1.42 # Removed by relevancy pruning/SinE : 12
% 0.24/1.42 # Initial clauses : 11
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 11
% 0.24/1.42 # Processed clauses : 20
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 4
% 0.24/1.42 # ...remaining for further processing : 16
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 0
% 0.24/1.42 # Generated clauses : 24
% 0.24/1.42 # ...of the previous two non-trivial : 19
% 0.24/1.42 # Contextual simplify-reflections : 1
% 0.24/1.42 # Paramodulations : 24
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 16
% 0.24/1.42 # Positive orientable unit clauses : 3
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 4
% 0.24/1.42 # Non-unit-clauses : 9
% 0.24/1.42 # Current number of unprocessed clauses: 10
% 0.24/1.42 # ...number of literals in the above : 39
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 0
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 20
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 20
% 0.24/1.42 # Non-unit clause-clause subsumptions : 2
% 0.24/1.42 # Unit Clause-clause subsumption calls : 9
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 0
% 0.24/1.42 # BW rewrite match successes : 0
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 1017
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.012 s
% 0.24/1.42 # System time : 0.003 s
% 0.24/1.42 # Total time : 0.015 s
% 0.24/1.42 # Maximum resident set size: 2824 pages
%------------------------------------------------------------------------------