TSTP Solution File: GEO222+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 121 ( 46 ~; 58 |; 12 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 82 ( 8 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(couo1,axiom,
! [X6,X7,X8] :
( ( ~ unorthogonal_lines(X6,X7)
& ~ unorthogonal_lines(X6,X8) )
=> ~ convergent_lines(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).
fof(con,conjecture,
! [X9,X6] : parallel_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(a3,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(cotno1,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/sandbox/benchmark/Axioms/GEO006+4.ax',cotno1) ).
fof(ax6,axiom,
! [X1,X2,X3] :
( convergent_lines(X1,X2)
=> ( convergent_lines(X1,X3)
| convergent_lines(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
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/sandbox/benchmark/Axioms/GEO006+3.ax',oac1) ).
fof(c_0_9,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_10,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_11,plain,
! [X9,X10,X11] :
( unorthogonal_lines(X9,X10)
| unorthogonal_lines(X9,X11)
| ~ convergent_lines(X10,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[couo1])])]) ).
cnf(c_0_12,plain,
~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,negated_conjecture,
~ ! [X9,X6] : parallel_lines(X6,orthogonal_through_point(orthogonal_through_point(X6,X9),X9)),
inference(assume_negation,[status(cth)],[con]) ).
cnf(c_0_15,plain,
( unorthogonal_lines(X3,X2)
| unorthogonal_lines(X3,X1)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
convergent_lines(orthogonal_through_point(X1,X2),X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,negated_conjecture,
~ parallel_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)],[c_0_14])])]) ).
fof(c_0_18,plain,
! [X3,X4,X3,X4] :
( ( ~ parallel_lines(X3,X4)
| ~ convergent_lines(X3,X4) )
& ( convergent_lines(X3,X4)
| parallel_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)],[a3])])])])]) ).
fof(c_0_19,plain,
! [X9,X10,X11] :
( ( convergent_lines(X9,X11)
| convergent_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( unorthogonal_lines(X9,X11)
| convergent_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( convergent_lines(X9,X11)
| unorthogonal_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) )
& ( unorthogonal_lines(X9,X11)
| unorthogonal_lines(X9,X10)
| ~ convergent_lines(X10,X11)
| ~ unorthogonal_lines(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cotno1])])])]) ).
cnf(c_0_20,plain,
( unorthogonal_lines(X1,orthogonal_through_point(X2,X3))
| unorthogonal_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_21,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)],[ax6])])])]) ).
cnf(c_0_22,negated_conjecture,
~ parallel_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( parallel_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( convergent_lines(X3,X1)
| unorthogonal_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_26,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,negated_conjecture,
convergent_lines(esk2_0,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_28,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).
fof(c_0_29,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_30,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(X2,X3),X4))
| ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(X2,X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,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_26,c_0_27]) ).
cnf(c_0_32,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( convergent_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( unorthogonal_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0))
| unorthogonal_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(esk2_0,esk1_0),esk1_0),X1)
| unorthogonal_lines(X2,esk2_0)
| convergent_lines(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_37,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,orthogonal_through_point(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_36]) ).
cnf(c_0_38,negated_conjecture,
convergent_lines(orthogonal_through_point(esk2_0,X1),orthogonal_through_point(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_32,c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 10:18:57 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.017 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 40
% 0.24/1.41 # Proof object clause steps : 21
% 0.24/1.41 # Proof object formula steps : 19
% 0.24/1.41 # Proof object conjectures : 12
% 0.24/1.41 # Proof object clause conjectures : 9
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 9
% 0.24/1.41 # Proof object initial formulas used : 9
% 0.24/1.41 # Proof object generating inferences : 12
% 0.24/1.41 # Proof object simplifying inferences : 2
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 36
% 0.24/1.41 # Removed by relevancy pruning/SinE : 4
% 0.24/1.41 # Initial clauses : 39
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 39
% 0.24/1.41 # Processed clauses : 73
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 7
% 0.24/1.41 # ...remaining for further processing : 66
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 0
% 0.24/1.41 # Backward-rewritten : 0
% 0.24/1.41 # Generated clauses : 236
% 0.24/1.41 # ...of the previous two non-trivial : 207
% 0.24/1.41 # Contextual simplify-reflections : 5
% 0.24/1.41 # Paramodulations : 226
% 0.24/1.41 # Factorizations : 10
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 66
% 0.24/1.41 # Positive orientable unit clauses : 9
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 8
% 0.24/1.41 # Non-unit-clauses : 49
% 0.24/1.41 # Current number of unprocessed clauses: 173
% 0.24/1.41 # ...number of literals in the above : 723
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 0
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 395
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 231
% 0.24/1.41 # Non-unit clause-clause subsumptions : 12
% 0.24/1.41 # Unit Clause-clause subsumption calls : 102
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 7
% 0.24/1.41 # BW rewrite match successes : 0
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 6036
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.020 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.024 s
% 0.24/1.41 # Maximum resident set size: 3048 pages
%------------------------------------------------------------------------------