TSTP Solution File: GEO263+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 04:05:11 EDT 2022
% Result : Theorem 0.28s 1.44s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 52 ( 18 ~; 15 |; 15 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 38 ( 6 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X3,X6,X1,X4,X5] :
( ( between_on_line(X2,X1,X4,X5)
& convergent_lines(X2,X3)
& convergent_lines(X2,X6)
& convergent_lines(X3,X6) )
=> between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),intersection_point(X3,parallel_through_point(X6,X4)),intersection_point(X3,parallel_through_point(X6,X5))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(con_def,axiom,
! [X2,X3] :
( convergent_lines(X2,X3)
<=> ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).
fof(c_0_4,negated_conjecture,
~ ! [X2,X3,X6,X1,X4,X5] :
( ( between_on_line(X2,X1,X4,X5)
& convergent_lines(X2,X3)
& convergent_lines(X2,X6)
& convergent_lines(X3,X6) )
=> between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),intersection_point(X3,parallel_through_point(X6,X4)),intersection_point(X3,parallel_through_point(X6,X5))) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,plain,
! [X4,X5] :
( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_6,plain,
! [X4,X5,X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])])])]) ).
fof(c_0_7,plain,
! [X4,X5,X4,X5] :
( ( unequally_directed_lines(X4,X5)
| ~ convergent_lines(X4,X5) )
& ( unequally_directed_lines(X4,reverse_line(X5))
| ~ convergent_lines(X4,X5) )
& ( ~ unequally_directed_lines(X4,X5)
| ~ unequally_directed_lines(X4,reverse_line(X5))
| convergent_lines(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con_def])])])])]) ).
fof(c_0_8,negated_conjecture,
( between_on_line(esk1_0,esk4_0,esk5_0,esk6_0)
& convergent_lines(esk1_0,esk2_0)
& convergent_lines(esk1_0,esk3_0)
& convergent_lines(esk2_0,esk3_0)
& ~ between_on_line(esk2_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk4_0)),intersection_point(esk2_0,parallel_through_point(esk3_0,esk5_0)),intersection_point(esk2_0,parallel_through_point(esk3_0,esk6_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_9,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( unequally_directed_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_15,negated_conjecture,
unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
unequally_directed_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n006.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 : Sat Jun 18 06:02:55 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.28/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.28/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.28/1.44 # Preprocessing time : 0.018 s
% 0.28/1.44
% 0.28/1.44 # Proof found!
% 0.28/1.44 # SZS status Theorem
% 0.28/1.44 # SZS output start CNFRefutation
% See solution above
% 0.28/1.44 # Proof object total steps : 18
% 0.28/1.44 # Proof object clause steps : 9
% 0.28/1.44 # Proof object formula steps : 9
% 0.28/1.44 # Proof object conjectures : 7
% 0.28/1.44 # Proof object clause conjectures : 4
% 0.28/1.44 # Proof object formula conjectures : 3
% 0.28/1.44 # Proof object initial clauses used : 5
% 0.28/1.44 # Proof object initial formulas used : 4
% 0.28/1.44 # Proof object generating inferences : 3
% 0.28/1.44 # Proof object simplifying inferences : 4
% 0.28/1.44 # Training examples: 0 positive, 0 negative
% 0.28/1.44 # Parsed axioms : 32
% 0.28/1.44 # Removed by relevancy pruning/SinE : 6
% 0.28/1.44 # Initial clauses : 52
% 0.28/1.44 # Removed in clause preprocessing : 0
% 0.28/1.44 # Initial clauses in saturation : 52
% 0.28/1.44 # Processed clauses : 61
% 0.28/1.44 # ...of these trivial : 0
% 0.28/1.44 # ...subsumed : 17
% 0.28/1.44 # ...remaining for further processing : 44
% 0.28/1.44 # Other redundant clauses eliminated : 0
% 0.28/1.44 # Clauses deleted for lack of memory : 0
% 0.28/1.44 # Backward-subsumed : 4
% 0.28/1.44 # Backward-rewritten : 0
% 0.28/1.44 # Generated clauses : 35
% 0.28/1.44 # ...of the previous two non-trivial : 24
% 0.28/1.44 # Contextual simplify-reflections : 4
% 0.28/1.44 # Paramodulations : 35
% 0.28/1.44 # Factorizations : 0
% 0.28/1.44 # Equation resolutions : 0
% 0.28/1.44 # Current number of processed clauses : 40
% 0.28/1.44 # Positive orientable unit clauses : 8
% 0.28/1.44 # Positive unorientable unit clauses: 0
% 0.28/1.44 # Negative unit clauses : 8
% 0.28/1.44 # Non-unit-clauses : 24
% 0.28/1.44 # Current number of unprocessed clauses: 13
% 0.28/1.44 # ...number of literals in the above : 27
% 0.28/1.44 # Current number of archived formulas : 0
% 0.28/1.44 # Current number of archived clauses : 4
% 0.28/1.44 # Clause-clause subsumption calls (NU) : 174
% 0.28/1.44 # Rec. Clause-clause subsumption calls : 121
% 0.28/1.44 # Non-unit clause-clause subsumptions : 12
% 0.28/1.44 # Unit Clause-clause subsumption calls : 36
% 0.28/1.44 # Rewrite failures with RHS unbound : 0
% 0.28/1.44 # BW rewrite match attempts : 0
% 0.28/1.44 # BW rewrite match successes : 0
% 0.28/1.44 # Condensation attempts : 0
% 0.28/1.44 # Condensation successes : 0
% 0.28/1.44 # Termbank termtop insertions : 3394
% 0.28/1.44
% 0.28/1.44 # -------------------------------------------------
% 0.28/1.44 # User time : 0.015 s
% 0.28/1.44 # System time : 0.005 s
% 0.28/1.44 # Total time : 0.020 s
% 0.28/1.44 # Maximum resident set size: 3056 pages
% 0.28/23.44 eprover: CPU time limit exceeded, terminating
% 0.28/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.46 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.47 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.48 eprover: No such file or directory
% 0.28/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.49 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.50 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.51 eprover: No such file or directory
% 0.28/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.28/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------