TSTP Solution File: GEO219+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 04:04:50 EDT 2022
% Result : Theorem 0.17s 1.36s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 96 ( 39 ~; 41 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 58 ( 4 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X6,X7,X8] :
( ( orthogonal_lines(X6,X7)
& parallel_lines(X6,X8) )
=> orthogonal_lines(X7,X8) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(a5,axiom,
! [X1,X2] :
( orthogonal_lines(X1,X2)
<=> ~ unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a5) ).
fof(occu1,axiom,
! [X6,X7] :
( convergent_lines(X6,X7)
| unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
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(a3,axiom,
! [X1,X2] :
( parallel_lines(X1,X2)
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(apart3,axiom,
! [X1] : ~ convergent_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(c_0_7,negated_conjecture,
~ ! [X6,X7,X8] :
( ( orthogonal_lines(X6,X7)
& parallel_lines(X6,X8) )
=> orthogonal_lines(X7,X8) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_8,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_9,negated_conjecture,
( orthogonal_lines(esk1_0,esk2_0)
& parallel_lines(esk1_0,esk3_0)
& ~ orthogonal_lines(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_10,plain,
( ~ unorthogonal_lines(X1,X2)
| ~ orthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
orthogonal_lines(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X8,X9] :
( convergent_lines(X8,X9)
| unorthogonal_lines(X8,X9) ),
inference(variable_rename,[status(thm)],[occu1]) ).
fof(c_0_13,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_14,negated_conjecture,
~ orthogonal_lines(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( orthogonal_lines(X1,X2)
| unorthogonal_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_16,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_17,negated_conjecture,
~ unorthogonal_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
( unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,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])])])])]) ).
cnf(c_0_20,plain,
( convergent_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
unorthogonal_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( convergent_lines(X1,X2)
| convergent_lines(X3,X2)
| ~ convergent_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
convergent_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( ~ convergent_lines(X1,X2)
| ~ parallel_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
parallel_lines(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_26,plain,
! [X2] : ~ convergent_lines(X2,X2),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).
cnf(c_0_27,negated_conjecture,
( convergent_lines(X1,esk3_0)
| convergent_lines(X1,esk2_0)
| ~ convergent_lines(esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( convergent_lines(esk1_0,X1)
| convergent_lines(esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
~ convergent_lines(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
~ convergent_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( convergent_lines(X1,esk2_0)
| convergent_lines(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,plain,
( unorthogonal_lines(X3,X1)
| convergent_lines(X3,X2)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,negated_conjecture,
convergent_lines(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( unorthogonal_lines(X1,esk2_0)
| convergent_lines(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_33])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_34]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : run_ET %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sat Jun 18 10:05:17 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.17/1.36 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.17/1.36 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.17/1.36 # Preprocessing time : 0.013 s
% 0.17/1.36
% 0.17/1.36 # Proof found!
% 0.17/1.36 # SZS status Theorem
% 0.17/1.36 # SZS output start CNFRefutation
% See solution above
% 0.17/1.37 # Proof object total steps : 36
% 0.17/1.37 # Proof object clause steps : 21
% 0.17/1.37 # Proof object formula steps : 15
% 0.17/1.37 # Proof object conjectures : 16
% 0.17/1.37 # Proof object clause conjectures : 13
% 0.17/1.37 # Proof object formula conjectures : 3
% 0.17/1.37 # Proof object initial clauses used : 11
% 0.17/1.37 # Proof object initial formulas used : 7
% 0.17/1.37 # Proof object generating inferences : 10
% 0.17/1.37 # Proof object simplifying inferences : 4
% 0.17/1.37 # Training examples: 0 positive, 0 negative
% 0.17/1.37 # Parsed axioms : 36
% 0.17/1.37 # Removed by relevancy pruning/SinE : 15
% 0.17/1.37 # Initial clauses : 31
% 0.17/1.37 # Removed in clause preprocessing : 0
% 0.17/1.37 # Initial clauses in saturation : 31
% 0.17/1.37 # Processed clauses : 55
% 0.17/1.37 # ...of these trivial : 0
% 0.17/1.37 # ...subsumed : 7
% 0.17/1.37 # ...remaining for further processing : 48
% 0.17/1.37 # Other redundant clauses eliminated : 0
% 0.17/1.37 # Clauses deleted for lack of memory : 0
% 0.17/1.37 # Backward-subsumed : 1
% 0.17/1.37 # Backward-rewritten : 4
% 0.17/1.37 # Generated clauses : 120
% 0.17/1.37 # ...of the previous two non-trivial : 105
% 0.17/1.37 # Contextual simplify-reflections : 4
% 0.17/1.37 # Paramodulations : 118
% 0.17/1.37 # Factorizations : 2
% 0.17/1.37 # Equation resolutions : 0
% 0.17/1.37 # Current number of processed clauses : 43
% 0.17/1.37 # Positive orientable unit clauses : 6
% 0.17/1.37 # Positive unorientable unit clauses: 0
% 0.17/1.37 # Negative unit clauses : 6
% 0.17/1.37 # Non-unit-clauses : 31
% 0.17/1.37 # Current number of unprocessed clauses: 57
% 0.17/1.37 # ...number of literals in the above : 208
% 0.17/1.37 # Current number of archived formulas : 0
% 0.17/1.37 # Current number of archived clauses : 5
% 0.17/1.37 # Clause-clause subsumption calls (NU) : 128
% 0.17/1.37 # Rec. Clause-clause subsumption calls : 105
% 0.17/1.37 # Non-unit clause-clause subsumptions : 10
% 0.17/1.37 # Unit Clause-clause subsumption calls : 13
% 0.17/1.37 # Rewrite failures with RHS unbound : 0
% 0.17/1.37 # BW rewrite match attempts : 1
% 0.17/1.37 # BW rewrite match successes : 1
% 0.17/1.37 # Condensation attempts : 0
% 0.17/1.37 # Condensation successes : 0
% 0.17/1.37 # Termbank termtop insertions : 3401
% 0.17/1.37
% 0.17/1.37 # -------------------------------------------------
% 0.17/1.37 # User time : 0.013 s
% 0.17/1.37 # System time : 0.002 s
% 0.17/1.37 # Total time : 0.015 s
% 0.17/1.37 # Maximum resident set size: 3012 pages
%------------------------------------------------------------------------------