TSTP Solution File: GEO224+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 04:04:53 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 33 ~; 23 |; 10 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 6 sgn 31 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2] :
( ( point(X1)
& line(X2) )
=> ? [X3] :
( point(X3)
& incident_point_and_line(X3,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(a4,axiom,
! [X1,X2] :
( incident_point_and_line(X1,X2)
<=> ~ apart_point_and_line(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a4) ).
fof(ci4,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(int1,axiom,
! [X6,X7] :
( ( line(X6)
& line(X7)
& convergent_lines(X6,X7) )
=> point(intersection_point(X6,X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+5.ax',int1) ).
fof(ooc1,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(orth1,axiom,
! [X6,X9] :
( ( line(X6)
& point(X9) )
=> line(orthogonal_through_point(X6,X9)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+5.ax',orth1) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2] :
( ( point(X1)
& line(X2) )
=> ? [X3] :
( point(X3)
& incident_point_and_line(X3,X2) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_8,negated_conjecture,
! [X6] :
( point(esk1_0)
& line(esk2_0)
& ( ~ point(X6)
| ~ incident_point_and_line(X6,esk2_0) ) ),
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)],[c_0_7])])])])])]) ).
fof(c_0_9,plain,
! [X3,X4,X3,X4] :
( ( ~ incident_point_and_line(X3,X4)
| ~ apart_point_and_line(X3,X4) )
& ( apart_point_and_line(X3,X4)
| incident_point_and_line(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)],[a4])])])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| ~ apart_point_and_line(intersection_point(X3,X4),X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci4])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ incident_point_and_line(X1,esk2_0)
| ~ point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( incident_point_and_line(X1,X2)
| apart_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ apart_point_and_line(intersection_point(X1,X2),X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| ~ point(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_15,plain,
! [X8,X9] :
( ~ line(X8)
| ~ line(X9)
| ~ convergent_lines(X8,X9)
| point(intersection_point(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[int1])]) ).
fof(c_0_16,plain,
! [X10,X11] : ~ unorthogonal_lines(orthogonal_through_point(X11,X10),X11),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ooc1])]) ).
fof(c_0_17,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[occu1]) ).
cnf(c_0_18,negated_conjecture,
( ~ point(intersection_point(X1,esk2_0))
| ~ convergent_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
( point(intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
line(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( ~ line(X1)
| ~ convergent_lines(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_25,plain,
! [X10,X11] :
( ~ line(X10)
| ~ point(X11)
| line(orthogonal_through_point(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[orth1])]) ).
cnf(c_0_26,negated_conjecture,
~ line(orthogonal_through_point(esk2_0,X1)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( line(orthogonal_through_point(X1,X2))
| ~ point(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_28,negated_conjecture,
point(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
~ point(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20])]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_28,c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.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 : Fri Jun 17 15:28:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.017 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 31
% 0.23/1.41 # Proof object clause steps : 16
% 0.23/1.41 # Proof object formula steps : 15
% 0.23/1.41 # Proof object conjectures : 12
% 0.23/1.41 # Proof object clause conjectures : 9
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 9
% 0.23/1.41 # Proof object initial formulas used : 7
% 0.23/1.41 # Proof object generating inferences : 6
% 0.23/1.41 # Proof object simplifying inferences : 5
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 36
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 49
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 49
% 0.23/1.41 # Processed clauses : 62
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 5
% 0.23/1.41 # ...remaining for further processing : 57
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 0
% 0.23/1.41 # Generated clauses : 35
% 0.23/1.41 # ...of the previous two non-trivial : 22
% 0.23/1.41 # Contextual simplify-reflections : 4
% 0.23/1.41 # Paramodulations : 34
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 56
% 0.23/1.41 # Positive orientable unit clauses : 2
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 9
% 0.23/1.41 # Non-unit-clauses : 45
% 0.23/1.41 # Current number of unprocessed clauses: 8
% 0.23/1.41 # ...number of literals in the above : 19
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 1
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 383
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 194
% 0.23/1.41 # Non-unit clause-clause subsumptions : 8
% 0.23/1.41 # Unit Clause-clause subsumption calls : 29
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 0
% 0.23/1.41 # BW rewrite match successes : 0
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 3439
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.019 s
% 0.23/1.41 # System time : 0.001 s
% 0.23/1.41 # Total time : 0.020 s
% 0.23/1.41 # Maximum resident set size: 2972 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------