TSTP Solution File: GEO222+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 04:04:52 EDT 2022
% Result : Theorem 0.23s 1.40s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 20 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 131 ( 44 ~; 72 |; 7 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 99 ( 5 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ooc1,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(apart6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).
fof(con,conjecture,
! [X9,X6] : ~ convergent_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
fof(ouo1,axiom,
! [X9,X6,X7,X8] :
( distinct_lines(X6,X7)
=> ( apart_point_and_line(X9,X6)
| apart_point_and_line(X9,X7)
| unorthogonal_lines(X6,X8)
| unorthogonal_lines(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
fof(ceq3,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
=> distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq3) ).
fof(oac1,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+3.ax',oac1) ).
fof(con2,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X2) )
=> distinct_points(X3,intersection_point(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
fof(apart1,axiom,
! [X1] : ~ distinct_points(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(c_0_10,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_11,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_12,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)],[apart6])])])]) ).
cnf(c_0_13,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,negated_conjecture,
~ ! [X9,X6] : ~ convergent_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_16,plain,
( ~ epred1_0
<=> ! [X1] :
( unorthogonal_lines(esk2_0,X1)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1) ) ),
introduced(definition) ).
fof(c_0_17,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).
cnf(c_0_18,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_20,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_15])])])]) ).
fof(c_0_21,plain,
! [X10,X11,X12,X13] :
( ~ distinct_lines(X11,X12)
| apart_point_and_line(X10,X11)
| apart_point_and_line(X10,X12)
| unorthogonal_lines(X11,X13)
| unorthogonal_lines(X12,X13) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ouo1])])])]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ convergent_lines(X3,X4)
| distinct_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).
fof(c_0_23,plain,
! [X9,X10,X11] :
( ( convergent_lines(X10,X11)
| convergent_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) )
& ( unorthogonal_lines(X10,X11)
| convergent_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) )
& ( convergent_lines(X10,X11)
| unorthogonal_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) )
& ( unorthogonal_lines(X10,X11)
| unorthogonal_lines(X9,X11)
| ~ convergent_lines(X9,X10)
| ~ unorthogonal_lines(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oac1])])])])]) ).
cnf(c_0_24,negated_conjecture,
( epred1_0
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,plain,
( convergent_lines(orthogonal_through_point(X1,X2),X3)
| convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ distinct_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( epred1_0
| unorthogonal_lines(esk2_0,orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_32,plain,
convergent_lines(X1,orthogonal_through_point(X1,X2)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
fof(c_0_34,plain,
( ~ epred2_0
<=> ! [X2] :
( apart_point_and_line(X2,esk2_0)
| apart_point_and_line(X2,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ) ),
introduced(definition) ).
cnf(c_0_35,plain,
( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X3,X2)
| apart_point_and_line(X4,X1)
| apart_point_and_line(X4,X3)
| ~ convergent_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( epred1_0
| unorthogonal_lines(orthogonal_through_point(esk2_0,esk1_0),X1)
| convergent_lines(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_37,negated_conjecture,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| convergent_lines(esk2_0,X2)
| convergent_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_27]),c_0_16]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_36]),c_0_25]) ).
cnf(c_0_40,negated_conjecture,
( convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
fof(c_0_41,plain,
! [X4,X5,X6] :
( ( ~ apart_point_and_line(X6,X4)
| distinct_points(X6,intersection_point(X4,X5))
| ~ convergent_lines(X4,X5) )
& ( ~ apart_point_and_line(X6,X5)
| distinct_points(X6,intersection_point(X4,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)],[con2])])])])]) ).
cnf(c_0_42,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_43,negated_conjecture,
( convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| convergent_lines(esk2_0,X2)
| convergent_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_40]) ).
cnf(c_0_44,plain,
( distinct_points(X3,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| apart_point_and_line(X1,esk2_0) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| convergent_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| distinct_points(X1,intersection_point(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X2))
| ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
convergent_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),esk2_0),
inference(spm,[status(thm)],[c_0_25,c_0_46]) ).
cnf(c_0_49,plain,
( distinct_points(X3,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( apart_point_and_line(X1,esk2_0)
| distinct_points(X1,intersection_point(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),esk2_0)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_51,plain,
! [X2] : ~ distinct_points(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart1])]) ).
cnf(c_0_52,negated_conjecture,
( distinct_points(X1,intersection_point(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),esk2_0))
| distinct_points(X1,intersection_point(X2,esk2_0))
| ~ convergent_lines(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,plain,
~ distinct_points(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_54,negated_conjecture,
distinct_points(X1,intersection_point(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_25]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO222+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 07:09:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.23/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.40 # Preprocessing time : 0.015 s
% 0.23/1.40
% 0.23/1.40 # Proof found!
% 0.23/1.40 # SZS status Theorem
% 0.23/1.40 # SZS output start CNFRefutation
% See solution above
% 0.23/1.40 # Proof object total steps : 56
% 0.23/1.40 # Proof object clause steps : 33
% 0.23/1.40 # Proof object formula steps : 23
% 0.23/1.40 # Proof object conjectures : 22
% 0.23/1.40 # Proof object clause conjectures : 19
% 0.23/1.40 # Proof object formula conjectures : 3
% 0.23/1.40 # Proof object initial clauses used : 12
% 0.23/1.40 # Proof object initial formulas used : 10
% 0.23/1.40 # Proof object generating inferences : 19
% 0.23/1.40 # Proof object simplifying inferences : 9
% 0.23/1.40 # Training examples: 0 positive, 0 negative
% 0.23/1.40 # Parsed axioms : 21
% 0.23/1.40 # Removed by relevancy pruning/SinE : 0
% 0.23/1.40 # Initial clauses : 26
% 0.23/1.40 # Removed in clause preprocessing : 0
% 0.23/1.40 # Initial clauses in saturation : 26
% 0.23/1.40 # Processed clauses : 375
% 0.23/1.40 # ...of these trivial : 0
% 0.23/1.40 # ...subsumed : 176
% 0.23/1.40 # ...remaining for further processing : 199
% 0.23/1.40 # Other redundant clauses eliminated : 0
% 0.23/1.40 # Clauses deleted for lack of memory : 0
% 0.23/1.40 # Backward-subsumed : 6
% 0.23/1.40 # Backward-rewritten : 12
% 0.23/1.40 # Generated clauses : 2731
% 0.23/1.40 # ...of the previous two non-trivial : 2513
% 0.23/1.40 # Contextual simplify-reflections : 65
% 0.23/1.40 # Paramodulations : 2403
% 0.23/1.40 # Factorizations : 320
% 0.23/1.40 # Equation resolutions : 0
% 0.23/1.40 # Current number of processed clauses : 177
% 0.23/1.40 # Positive orientable unit clauses : 24
% 0.23/1.40 # Positive unorientable unit clauses: 0
% 0.23/1.40 # Negative unit clauses : 9
% 0.23/1.40 # Non-unit-clauses : 144
% 0.23/1.40 # Current number of unprocessed clauses: 1892
% 0.23/1.40 # ...number of literals in the above : 11131
% 0.23/1.40 # Current number of archived formulas : 0
% 0.23/1.40 # Current number of archived clauses : 19
% 0.23/1.40 # Clause-clause subsumption calls (NU) : 17179
% 0.23/1.40 # Rec. Clause-clause subsumption calls : 5206
% 0.23/1.40 # Non-unit clause-clause subsumptions : 243
% 0.23/1.40 # Unit Clause-clause subsumption calls : 971
% 0.23/1.40 # Rewrite failures with RHS unbound : 0
% 0.23/1.40 # BW rewrite match attempts : 22
% 0.23/1.40 # BW rewrite match successes : 7
% 0.23/1.40 # Condensation attempts : 0
% 0.23/1.40 # Condensation successes : 0
% 0.23/1.40 # Termbank termtop insertions : 45250
% 0.23/1.40
% 0.23/1.40 # -------------------------------------------------
% 0.23/1.40 # User time : 0.088 s
% 0.23/1.40 # System time : 0.004 s
% 0.23/1.40 # Total time : 0.092 s
% 0.23/1.40 # Maximum resident set size: 4944 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.41 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
%------------------------------------------------------------------------------