%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 04:04:20 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 21 ~; 21 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& apart_point_and_line(X3,line_connecting(X1,X2)) )
=> ( distinct_lines(line_connecting(X1,X2),line_connecting(X3,X1))
& distinct_lines(line_connecting(X1,X2),line_connecting(X3,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(ceq2,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X3)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq2) ).
fof(ceq1,axiom,
! [X1,X2,X3] :
( apart_point_and_line(X1,X2)
=> ( distinct_points(X1,X3)
| apart_point_and_line(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).
fof(ci1,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(ci2,axiom,
! [X1,X2] :
( distinct_points(X1,X2)
=> ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( distinct_points(X1,X2)
& apart_point_and_line(X3,line_connecting(X1,X2)) )
=> ( distinct_lines(line_connecting(X1,X2),line_connecting(X3,X1))
& distinct_lines(line_connecting(X1,X2),line_connecting(X3,X2)) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_6,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_lines(X5,X6)
| apart_point_and_line(X4,X6) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq2])])])]) ).
fof(c_0_7,negated_conjecture,
( distinct_points(esk1_0,esk2_0)
& apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0))
& ( ~ distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk3_0,esk1_0))
| ~ distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk3_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( apart_point_and_line(X1,X2)
| distinct_lines(X3,X2)
| ~ apart_point_and_line(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( ~ distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk3_0,esk2_0))
| ~ distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk3_0,esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( apart_point_and_line(esk3_0,X1)
| distinct_lines(line_connecting(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ~ apart_point_and_line(X4,X5)
| distinct_points(X4,X6)
| apart_point_and_line(X6,X5) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq1])])])]) ).
fof(c_0_13,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X3,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci1])])]) ).
cnf(c_0_14,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk3_0,esk1_0))
| ~ distinct_lines(line_connecting(esk1_0,esk2_0),line_connecting(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( apart_point_and_line(X1,X2)
| distinct_points(X3,X1)
| ~ apart_point_and_line(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( ~ apart_point_and_line(X1,line_connecting(X1,X2))
| ~ distinct_points(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk3_0,esk2_0))
| apart_point_and_line(esk3_0,line_connecting(esk3_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
| distinct_points(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_19,negated_conjecture,
distinct_points(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_20,plain,
! [X3,X4] :
( ~ distinct_points(X3,X4)
| ~ apart_point_and_line(X4,line_connecting(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ci2])])]) ).
cnf(c_0_21,negated_conjecture,
( apart_point_and_line(esk3_0,line_connecting(esk3_0,esk2_0))
| ~ distinct_points(esk3_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
distinct_points(esk3_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_18]),c_0_19])]) ).
cnf(c_0_23,plain,
( ~ apart_point_and_line(X1,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,negated_conjecture,
apart_point_and_line(esk3_0,line_connecting(esk3_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_25,negated_conjecture,
distinct_points(esk3_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_19])]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 15:33:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41 # Preprocessing time : 0.015 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 27
% 0.22/1.41 # Proof object clause steps : 16
% 0.22/1.41 # Proof object formula steps : 11
% 0.22/1.41 # Proof object conjectures : 15
% 0.22/1.41 # Proof object clause conjectures : 12
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 7
% 0.22/1.41 # Proof object initial formulas used : 5
% 0.22/1.41 # Proof object generating inferences : 8
% 0.22/1.41 # Proof object simplifying inferences : 8
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 15
% 0.22/1.41 # Removed by relevancy pruning/SinE : 2
% 0.22/1.41 # Initial clauses : 15
% 0.22/1.41 # Removed in clause preprocessing : 0
% 0.22/1.41 # Initial clauses in saturation : 15
% 0.22/1.41 # Processed clauses : 29
% 0.22/1.41 # ...of these trivial : 0
% 0.22/1.41 # ...subsumed : 1
% 0.22/1.41 # ...remaining for further processing : 28
% 0.22/1.41 # Other redundant clauses eliminated : 0
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 0
% 0.22/1.41 # Backward-rewritten : 3
% 0.22/1.41 # Generated clauses : 43
% 0.22/1.41 # ...of the previous two non-trivial : 38
% 0.22/1.41 # Contextual simplify-reflections : 0
% 0.22/1.41 # Paramodulations : 41
% 0.22/1.41 # Factorizations : 2
% 0.22/1.41 # Equation resolutions : 0
% 0.22/1.41 # Current number of processed clauses : 25
% 0.22/1.41 # Positive orientable unit clauses : 6
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 3
% 0.22/1.41 # Non-unit-clauses : 16
% 0.22/1.41 # Current number of unprocessed clauses: 20
% 0.22/1.41 # ...number of literals in the above : 74
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 3
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 44
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 11
% 0.22/1.41 # Non-unit clause-clause subsumptions : 1
% 0.22/1.41 # Unit Clause-clause subsumption calls : 13
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 2
% 0.22/1.41 # BW rewrite match successes : 2
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 1585
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.017 s
% 0.22/1.41 # System time : 0.000 s
% 0.22/1.41 # Total time : 0.017 s
% 0.22/1.41 # Maximum resident set size: 2820 pages
%------------------------------------------------------------------------------