%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO266+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 04:05:13 EDT 2022
% Result : Theorem 0.16s 1.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 28 ~; 39 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 64 ( 8 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax9_basics,axiom,
! [X4,X5] :
( ( unequally_directed_lines(X4,X5)
& unequally_directed_lines(X4,reverse_line(X5)) )
=> ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax9_basics) ).
fof(ax11_basics,axiom,
! [X4,X5] :
~ ( left_convergent_lines(X4,X5)
| left_convergent_lines(X4,reverse_line(X5)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax11_basics) ).
fof(a1_defns,axiom,
! [X1,X2] :
( unequally_directed_opposite_lines(X1,X2)
<=> unequally_directed_lines(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a1_defns) ).
fof(ax8_basics,axiom,
! [X4,X5] :
( unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax8_basics) ).
fof(ax6_basics,axiom,
! [X4,X5,X8] :
( unequally_directed_lines(X4,X5)
=> ( unequally_directed_lines(X4,X8)
| unequally_directed_lines(X5,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax6_basics) ).
fof(con,conjecture,
! [X4,X5] :
( unequally_directed_opposite_lines(X4,X5)
<=> unequally_directed_opposite_lines(X5,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(c_0_6,plain,
! [X6,X7] :
( ~ unequally_directed_lines(X6,X7)
| ~ unequally_directed_lines(X6,reverse_line(X7))
| left_convergent_lines(X6,X7)
| left_convergent_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9_basics])]) ).
fof(c_0_7,plain,
! [X6,X7,X6,X7] :
( ~ left_convergent_lines(X6,X7)
& ~ left_convergent_lines(X6,reverse_line(X7)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11_basics])])])]) ).
fof(c_0_8,plain,
! [X3,X4,X3,X4] :
( ( ~ unequally_directed_opposite_lines(X3,X4)
| unequally_directed_lines(X3,reverse_line(X4)) )
& ( ~ unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_opposite_lines(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_defns])])])]) ).
fof(c_0_9,plain,
! [X6,X7] :
( unequally_directed_lines(X6,X7)
| unequally_directed_lines(X6,reverse_line(X7)) ),
inference(variable_rename,[status(thm)],[ax8_basics]) ).
cnf(c_0_10,plain,
( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,plain,
! [X9,X10,X11] :
( ~ unequally_directed_lines(X9,X10)
| unequally_directed_lines(X9,X11)
| unequally_directed_lines(X10,X11) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6_basics])])])]) ).
cnf(c_0_13,plain,
( unequally_directed_opposite_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_16,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_19,negated_conjecture,
~ ! [X4,X5] :
( unequally_directed_opposite_lines(X4,X5)
<=> unequally_directed_opposite_lines(X5,X4) ),
inference(assume_negation,[status(cth)],[con]) ).
cnf(c_0_20,plain,
( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| unequally_directed_opposite_lines(X1,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_22,negated_conjecture,
( ( ~ unequally_directed_opposite_lines(esk1_0,esk2_0)
| ~ unequally_directed_opposite_lines(esk2_0,esk1_0) )
& ( unequally_directed_opposite_lines(esk1_0,esk2_0)
| unequally_directed_opposite_lines(esk2_0,esk1_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_23,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X3)
| ~ unequally_directed_opposite_lines(X3,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( unequally_directed_opposite_lines(esk2_0,esk1_0)
| unequally_directed_opposite_lines(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_opposite_lines(X1,X1) ),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( unequally_directed_lines(X1,esk1_0)
| unequally_directed_opposite_lines(esk1_0,esk2_0)
| unequally_directed_opposite_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( unequally_directed_opposite_lines(X1,X1)
| ~ unequally_directed_opposite_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( unequally_directed_opposite_lines(esk1_0,esk2_0)
| unequally_directed_opposite_lines(X1,esk2_0)
| ~ unequally_directed_opposite_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_26]) ).
cnf(c_0_29,plain,
unequally_directed_opposite_lines(X1,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_25]),c_0_27]) ).
cnf(c_0_30,negated_conjecture,
unequally_directed_opposite_lines(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( unequally_directed_lines(X1,esk2_0)
| unequally_directed_opposite_lines(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
( ~ unequally_directed_opposite_lines(esk2_0,esk1_0)
| ~ unequally_directed_opposite_lines(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
( unequally_directed_opposite_lines(X1,esk1_0)
| ~ unequally_directed_opposite_lines(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ unequally_directed_opposite_lines(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_30])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO266+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.08 % Command : run_ET %s %d
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Sat Jun 18 05:24:16 EDT 2022
% 0.09/0.27 % CPUTime :
% 0.16/1.33 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.16/1.33 # Preprocessing time : 0.015 s
% 0.16/1.33
% 0.16/1.33 # Proof found!
% 0.16/1.33 # SZS status Theorem
% 0.16/1.33 # SZS output start CNFRefutation
% See solution above
% 0.16/1.33 # Proof object total steps : 36
% 0.16/1.33 # Proof object clause steps : 23
% 0.16/1.33 # Proof object formula steps : 13
% 0.16/1.33 # Proof object conjectures : 12
% 0.16/1.33 # Proof object clause conjectures : 9
% 0.16/1.33 # Proof object formula conjectures : 3
% 0.16/1.33 # Proof object initial clauses used : 8
% 0.16/1.33 # Proof object initial formulas used : 6
% 0.16/1.33 # Proof object generating inferences : 13
% 0.16/1.33 # Proof object simplifying inferences : 6
% 0.16/1.33 # Training examples: 0 positive, 0 negative
% 0.16/1.33 # Parsed axioms : 37
% 0.16/1.33 # Removed by relevancy pruning/SinE : 0
% 0.16/1.33 # Initial clauses : 68
% 0.16/1.33 # Removed in clause preprocessing : 0
% 0.16/1.33 # Initial clauses in saturation : 68
% 0.16/1.33 # Processed clauses : 172
% 0.16/1.33 # ...of these trivial : 11
% 0.16/1.33 # ...subsumed : 38
% 0.16/1.33 # ...remaining for further processing : 123
% 0.16/1.33 # Other redundant clauses eliminated : 0
% 0.16/1.33 # Clauses deleted for lack of memory : 0
% 0.16/1.33 # Backward-subsumed : 8
% 0.16/1.33 # Backward-rewritten : 21
% 0.16/1.33 # Generated clauses : 485
% 0.16/1.33 # ...of the previous two non-trivial : 426
% 0.16/1.33 # Contextual simplify-reflections : 5
% 0.16/1.33 # Paramodulations : 420
% 0.16/1.33 # Factorizations : 60
% 0.16/1.33 # Equation resolutions : 0
% 0.16/1.33 # Current number of processed clauses : 91
% 0.16/1.33 # Positive orientable unit clauses : 10
% 0.16/1.33 # Positive unorientable unit clauses: 0
% 0.16/1.33 # Negative unit clauses : 17
% 0.16/1.33 # Non-unit-clauses : 64
% 0.16/1.33 # Current number of unprocessed clauses: 281
% 0.16/1.33 # ...number of literals in the above : 920
% 0.16/1.33 # Current number of archived formulas : 0
% 0.16/1.33 # Current number of archived clauses : 31
% 0.16/1.33 # Clause-clause subsumption calls (NU) : 1778
% 0.16/1.33 # Rec. Clause-clause subsumption calls : 1341
% 0.16/1.33 # Non-unit clause-clause subsumptions : 24
% 0.16/1.33 # Unit Clause-clause subsumption calls : 231
% 0.16/1.33 # Rewrite failures with RHS unbound : 0
% 0.16/1.33 # BW rewrite match attempts : 17
% 0.16/1.33 # BW rewrite match successes : 7
% 0.16/1.33 # Condensation attempts : 0
% 0.16/1.33 # Condensation successes : 0
% 0.16/1.33 # Termbank termtop insertions : 7888
% 0.16/1.33
% 0.16/1.33 # -------------------------------------------------
% 0.16/1.33 # User time : 0.019 s
% 0.16/1.33 # System time : 0.004 s
% 0.16/1.33 # Total time : 0.023 s
% 0.16/1.33 # Maximum resident set size: 3276 pages
% 0.16/23.32 eprover: CPU time limit exceeded, terminating
% 0.16/23.32 eprover: CPU time limit exceeded, terminating
% 0.16/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.34 eprover: No such file or directory
% 0.16/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.34 eprover: No such file or directory
% 0.16/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.34 eprover: No such file or directory
% 0.16/23.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.34 eprover: No such file or directory
% 0.16/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.35 eprover: No such file or directory
% 0.16/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.35 eprover: No such file or directory
% 0.16/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.35 eprover: No such file or directory
% 0.16/23.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.35 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.16/23.39 eprover: No such file or directory
%------------------------------------------------------------------------------