%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO234+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 04:04:58 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 82 ( 27 ~; 43 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X3,X6] :
( unequally_directed_lines(X2,reverse_line(X3))
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,reverse_line(X6)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(oag6,axiom,
! [X2,X3,X6] :
( unequally_directed_lines(X2,X3)
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,X6) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag6) ).
fof(oag7,axiom,
! [X2,X3,X6] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( ( unequally_directed_lines(X2,X6)
& unequally_directed_lines(X2,reverse_line(X6)) )
| ( unequally_directed_lines(X3,X6)
& unequally_directed_lines(X3,reverse_line(X6)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag7) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
fof(c_0_4,negated_conjecture,
~ ! [X2,X3,X6] :
( unequally_directed_lines(X2,reverse_line(X3))
=> ( unequally_directed_lines(X2,X6)
| unequally_directed_lines(X3,reverse_line(X6)) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_5,plain,
! [X7,X8,X9] :
( ~ unequally_directed_lines(X7,X8)
| unequally_directed_lines(X7,X9)
| unequally_directed_lines(X8,X9) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])])])]) ).
fof(c_0_6,negated_conjecture,
( unequally_directed_lines(esk1_0,reverse_line(esk2_0))
& ~ unequally_directed_lines(esk1_0,esk3_0)
& ~ unequally_directed_lines(esk2_0,reverse_line(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_7,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X7,X8,X9] :
( ( unequally_directed_lines(X8,X9)
| unequally_directed_lines(X7,X9)
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) )
& ( unequally_directed_lines(X8,reverse_line(X9))
| unequally_directed_lines(X7,X9)
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) )
& ( unequally_directed_lines(X8,X9)
| unequally_directed_lines(X7,reverse_line(X9))
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) )
& ( unequally_directed_lines(X8,reverse_line(X9))
| unequally_directed_lines(X7,reverse_line(X9))
| ~ unequally_directed_lines(X7,X8)
| ~ unequally_directed_lines(X7,reverse_line(X8)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag7])])])])]) ).
cnf(c_0_10,negated_conjecture,
( unequally_directed_lines(reverse_line(esk2_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( unequally_directed_lines(X1,X3)
| unequally_directed_lines(X2,reverse_line(X3))
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( unequally_directed_lines(reverse_line(esk2_0),X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
~ unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk1_0,X1)
| ~ unequally_directed_lines(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_15,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_16,plain,
! [X3] : ~ unequally_directed_lines(X3,X3),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).
cnf(c_0_17,negated_conjecture,
( unequally_directed_lines(reverse_line(esk2_0),X1)
| unequally_directed_lines(esk1_0,X2)
| unequally_directed_lines(X2,X3)
| unequally_directed_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
~ unequally_directed_lines(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_19,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk3_0))
| unequally_directed_lines(reverse_line(esk2_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_18]) ).
cnf(c_0_21,plain,
( unequally_directed_lines(X1,reverse_line(X3))
| unequally_directed_lines(X2,X3)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,negated_conjecture,
unequally_directed_lines(reverse_line(esk2_0),reverse_line(esk3_0)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( unequally_directed_lines(reverse_line(esk2_0),reverse_line(X1))
| unequally_directed_lines(esk3_0,X1)
| ~ unequally_directed_lines(reverse_line(esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( unequally_directed_lines(esk3_0,esk2_0)
| ~ unequally_directed_lines(reverse_line(esk2_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( unequally_directed_lines(reverse_line(esk2_0),reverse_line(X1))
| unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(esk1_0,X3)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_26,negated_conjecture,
unequally_directed_lines(esk3_0,esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_10]),c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( unequally_directed_lines(esk2_0,reverse_line(X1))
| unequally_directed_lines(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19]),c_0_15]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_27]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO234+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n024.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 : Sat Jun 18 06:14:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.014 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
% 0.23/1.42 # Proof object total steps : 29
% 0.23/1.42 # Proof object clause steps : 20
% 0.23/1.42 # Proof object formula steps : 9
% 0.23/1.42 # Proof object conjectures : 19
% 0.23/1.42 # Proof object clause conjectures : 16
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 7
% 0.23/1.42 # Proof object initial formulas used : 4
% 0.23/1.42 # Proof object generating inferences : 13
% 0.23/1.42 # Proof object simplifying inferences : 6
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 32
% 0.23/1.42 # Removed by relevancy pruning/SinE : 28
% 0.23/1.42 # Initial clauses : 9
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 9
% 0.23/1.42 # Processed clauses : 81
% 0.23/1.42 # ...of these trivial : 1
% 0.23/1.42 # ...subsumed : 29
% 0.23/1.42 # ...remaining for further processing : 51
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 6
% 0.23/1.42 # Backward-rewritten : 1
% 0.23/1.42 # Generated clauses : 584
% 0.23/1.42 # ...of the previous two non-trivial : 441
% 0.23/1.42 # Contextual simplify-reflections : 6
% 0.23/1.42 # Paramodulations : 548
% 0.23/1.42 # Factorizations : 36
% 0.23/1.42 # Equation resolutions : 0
% 0.23/1.42 # Current number of processed clauses : 44
% 0.23/1.42 # Positive orientable unit clauses : 6
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 4
% 0.23/1.42 # Non-unit-clauses : 34
% 0.23/1.42 # Current number of unprocessed clauses: 326
% 0.23/1.42 # ...number of literals in the above : 1725
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 7
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 844
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 470
% 0.23/1.42 # Non-unit clause-clause subsumptions : 27
% 0.23/1.42 # Unit Clause-clause subsumption calls : 74
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 3
% 0.23/1.42 # BW rewrite match successes : 3
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 10200
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.028 s
% 0.23/1.42 # System time : 0.002 s
% 0.23/1.42 # Total time : 0.030 s
% 0.23/1.42 # Maximum resident set size: 2972 pages
%------------------------------------------------------------------------------