%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n013.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 04:04:44 EDT 2022
% Result : Theorem 0.24s 1.44s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 24 |; 7 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 3 con; 0-2 aty)
% Number of variables : 57 ( 8 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X9,X6,X7] :
( ( incident_point_and_line(X9,X6)
& orthogonal_lines(X6,X7) )
=> equal_lines(X6,orthogonal_through_point(X7,X9)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(ax2,axiom,
! [X1,X2] :
( equal_lines(X1,X2)
<=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',ax2) ).
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/sandbox/benchmark/Axioms/GEO006+3.ax',ouo1) ).
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(ooc2,axiom,
! [X9,X6] : ~ apart_point_and_line(X9,orthogonal_through_point(X6,X9)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc2) ).
fof(a5,axiom,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a5) ).
fof(ooc1,axiom,
! [X9,X6] : ~ unorthogonal_lines(orthogonal_through_point(X6,X9),X6),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',ooc1) ).
fof(c_0_7,negated_conjecture,
~ ! [X9,X6,X7] :
( ( incident_point_and_line(X9,X6)
& orthogonal_lines(X6,X7) )
=> equal_lines(X6,orthogonal_through_point(X7,X9)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_8,negated_conjecture,
( incident_point_and_line(esk1_0,esk2_0)
& orthogonal_lines(esk2_0,esk3_0)
& ~ equal_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_9,plain,
! [X3,X4,X3,X4] :
( ( ~ equal_lines(X3,X4)
| ~ distinct_lines(X3,X4) )
& ( distinct_lines(X3,X4)
| equal_lines(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)],[ax2])])])])]) ).
fof(c_0_10,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])])])]) ).
cnf(c_0_11,negated_conjecture,
~ equal_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( equal_lines(X1,X2)
| distinct_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,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_14,plain,
! [X10,X11] : ~ apart_point_and_line(X10,orthogonal_through_point(X11,X10)),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ooc2])]) ).
cnf(c_0_15,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_10]) ).
cnf(c_0_16,negated_conjecture,
distinct_lines(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( ~ apart_point_and_line(X1,X2)
| ~ incident_point_and_line(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
incident_point_and_line(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_19,plain,
! [X3,X4,X3,X4] :
( ( ~ orthogonal_lines(X3,X4)
| ~ unorthogonal_lines(X3,X4) )
& ( unorthogonal_lines(X3,X4)
| orthogonal_lines(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)],[a5])])])])]) ).
fof(c_0_20,plain,
! [X10,X11] : ~ unorthogonal_lines(orthogonal_through_point(X11,X10),X11),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ooc1])]) ).
cnf(c_0_21,plain,
~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| unorthogonal_lines(esk2_0,X1)
| apart_point_and_line(X2,orthogonal_through_point(esk3_0,esk1_0))
| apart_point_and_line(X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
~ apart_point_and_line(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
orthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
| unorthogonal_lines(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,negated_conjecture,
~ unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 18:04:44 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.24/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.44 # Preprocessing time : 0.019 s
% 0.24/1.44
% 0.24/1.44 # Proof found!
% 0.24/1.44 # SZS status Theorem
% 0.24/1.44 # SZS output start CNFRefutation
% See solution above
% 0.24/1.44 # Proof object total steps : 30
% 0.24/1.44 # Proof object clause steps : 15
% 0.24/1.44 # Proof object formula steps : 15
% 0.24/1.44 # Proof object conjectures : 12
% 0.24/1.44 # Proof object clause conjectures : 9
% 0.24/1.44 # Proof object formula conjectures : 3
% 0.24/1.44 # Proof object initial clauses used : 9
% 0.24/1.44 # Proof object initial formulas used : 7
% 0.24/1.44 # Proof object generating inferences : 6
% 0.24/1.44 # Proof object simplifying inferences : 2
% 0.24/1.44 # Training examples: 0 positive, 0 negative
% 0.24/1.44 # Parsed axioms : 36
% 0.24/1.44 # Removed by relevancy pruning/SinE : 2
% 0.24/1.44 # Initial clauses : 45
% 0.24/1.44 # Removed in clause preprocessing : 0
% 0.24/1.44 # Initial clauses in saturation : 45
% 0.24/1.44 # Processed clauses : 71
% 0.24/1.44 # ...of these trivial : 0
% 0.24/1.44 # ...subsumed : 9
% 0.24/1.44 # ...remaining for further processing : 62
% 0.24/1.44 # Other redundant clauses eliminated : 0
% 0.24/1.44 # Clauses deleted for lack of memory : 0
% 0.24/1.44 # Backward-subsumed : 1
% 0.24/1.44 # Backward-rewritten : 0
% 0.24/1.44 # Generated clauses : 109
% 0.24/1.44 # ...of the previous two non-trivial : 94
% 0.24/1.44 # Contextual simplify-reflections : 4
% 0.24/1.44 # Paramodulations : 109
% 0.24/1.44 # Factorizations : 0
% 0.24/1.44 # Equation resolutions : 0
% 0.24/1.44 # Current number of processed clauses : 61
% 0.24/1.44 # Positive orientable unit clauses : 9
% 0.24/1.44 # Positive unorientable unit clauses: 0
% 0.24/1.44 # Negative unit clauses : 10
% 0.24/1.44 # Non-unit-clauses : 42
% 0.24/1.44 # Current number of unprocessed clauses: 58
% 0.24/1.44 # ...number of literals in the above : 213
% 0.24/1.44 # Current number of archived formulas : 0
% 0.24/1.44 # Current number of archived clauses : 1
% 0.24/1.44 # Clause-clause subsumption calls (NU) : 344
% 0.24/1.44 # Rec. Clause-clause subsumption calls : 144
% 0.24/1.44 # Non-unit clause-clause subsumptions : 14
% 0.24/1.44 # Unit Clause-clause subsumption calls : 33
% 0.24/1.44 # Rewrite failures with RHS unbound : 0
% 0.24/1.44 # BW rewrite match attempts : 0
% 0.24/1.44 # BW rewrite match successes : 0
% 0.24/1.44 # Condensation attempts : 0
% 0.24/1.44 # Condensation successes : 0
% 0.24/1.44 # Termbank termtop insertions : 4253
% 0.24/1.44
% 0.24/1.44 # -------------------------------------------------
% 0.24/1.44 # User time : 0.022 s
% 0.24/1.44 # System time : 0.002 s
% 0.24/1.44 # Total time : 0.024 s
% 0.24/1.44 # Maximum resident set size: 3060 pages
%------------------------------------------------------------------------------