TSTP Solution File: GEO255+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 04:05:08 EDT 2022
% Result : Theorem 0.26s 1.42s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 16 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 140 ( 54 ~; 60 |; 20 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 12 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X2,X1,X4] :
( ( line(X2)
& distinct_points(X1,X4) )
=> ~ ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).
fof(bf_def,axiom,
! [X2,X1,X4] :
( before_on_line(X2,X1,X4)
<=> ( distinct_points(X1,X4)
& ~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) )
& ~ ( left_apart_point(X4,X2)
| left_apart_point(X4,reverse_line(X2)) )
& ~ unequally_directed_lines(X2,line_connecting(X1,X4)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',bf_def) ).
fof(oag10,axiom,
! [X1,X2] :
~ ( left_apart_point(X1,X2)
| left_apart_point(X1,reverse_line(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(oag8,axiom,
! [X2,X3] :
( ( line(X2)
& line(X3) )
=> ( unequally_directed_lines(X2,X3)
| unequally_directed_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(oag5,axiom,
! [X2] : ~ unequally_directed_lines(X2,X2),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag5) ).
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(oag9,axiom,
! [X2,X3] :
( ( unequally_directed_lines(X2,X3)
& unequally_directed_lines(X2,reverse_line(X3)) )
=> ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag9) ).
fof(oag11,axiom,
! [X2,X3] :
~ ( left_convergent_lines(X2,X3)
| left_convergent_lines(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag11) ).
fof(oagco9,axiom,
! [X1,X4] : ~ unequally_directed_lines(line_connecting(X1,X4),reverse_line(line_connecting(X4,X1))),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oagco9) ).
fof(c_0_9,negated_conjecture,
~ ! [X2,X1,X4] :
( ( line(X2)
& distinct_points(X1,X4) )
=> ~ ( before_on_line(X2,X1,X4)
& before_on_line(X2,X4,X1) ) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c_0_10,plain,
! [X5,X6,X7,X5,X6,X7] :
( ( distinct_points(X6,X7)
| ~ before_on_line(X5,X6,X7) )
& ( ~ left_apart_point(X6,X5)
| ~ before_on_line(X5,X6,X7) )
& ( ~ left_apart_point(X6,reverse_line(X5))
| ~ before_on_line(X5,X6,X7) )
& ( ~ left_apart_point(X7,X5)
| ~ before_on_line(X5,X6,X7) )
& ( ~ left_apart_point(X7,reverse_line(X5))
| ~ before_on_line(X5,X6,X7) )
& ( ~ unequally_directed_lines(X5,line_connecting(X6,X7))
| ~ before_on_line(X5,X6,X7) )
& ( ~ distinct_points(X6,X7)
| left_apart_point(X6,X5)
| left_apart_point(X6,reverse_line(X5))
| left_apart_point(X7,X5)
| left_apart_point(X7,reverse_line(X5))
| unequally_directed_lines(X5,line_connecting(X6,X7))
| before_on_line(X5,X6,X7) ) ),
inference(distribute,[status(thm)],[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)],[bf_def])])])])])]) ).
fof(c_0_11,plain,
! [X3,X4,X3,X4] :
( ~ left_apart_point(X3,X4)
& ~ left_apart_point(X3,reverse_line(X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])])])]) ).
fof(c_0_12,plain,
! [X4,X5] :
( ~ line(X4)
| ~ line(X5)
| unequally_directed_lines(X4,X5)
| unequally_directed_lines(X4,reverse_line(X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).
fof(c_0_13,negated_conjecture,
( line(esk1_0)
& distinct_points(esk2_0,esk3_0)
& before_on_line(esk1_0,esk2_0,esk3_0)
& before_on_line(esk1_0,esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_14,plain,
( before_on_line(X1,X2,X3)
| unequally_directed_lines(X1,line_connecting(X2,X3))
| left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,X1)
| left_apart_point(X2,reverse_line(X1))
| left_apart_point(X2,X1)
| ~ distinct_points(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
~ left_apart_point(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2)
| ~ line(X2)
| ~ line(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
line(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_18,plain,
! [X3] : ~ unequally_directed_lines(X3,X3),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).
fof(c_0_19,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])])])]) ).
cnf(c_0_20,plain,
( before_on_line(X1,X2,X3)
| unequally_directed_lines(X1,line_connecting(X2,X3))
| ~ distinct_points(X2,X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_14,c_0_15]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_21,negated_conjecture,
distinct_points(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( unequally_directed_lines(X1,reverse_line(esk1_0))
| unequally_directed_lines(X1,esk1_0)
| ~ line(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
~ unequally_directed_lines(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [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)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).
fof(c_0_25,plain,
! [X4,X5,X4,X5] :
( ~ left_convergent_lines(X4,X5)
& ~ left_convergent_lines(X4,reverse_line(X5)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])])])]) ).
fof(c_0_26,plain,
! [X5,X6] : ~ unequally_directed_lines(line_connecting(X5,X6),reverse_line(line_connecting(X6,X5))),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oagco9])]) ).
cnf(c_0_27,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X3,X2)
| ~ unequally_directed_lines(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( before_on_line(X1,esk2_0,esk3_0)
| unequally_directed_lines(X1,line_connecting(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
( distinct_points(X2,X3)
| ~ before_on_line(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
before_on_line(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,negated_conjecture,
unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_17]),c_0_23]) ).
cnf(c_0_32,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_24]) ).
cnf(c_0_33,plain,
~ left_convergent_lines(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( before_on_line(X1,esk2_0,esk3_0)
| unequally_directed_lines(line_connecting(esk2_0,esk3_0),X2)
| unequally_directed_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
distinct_points(esk3_0,esk2_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( ~ before_on_line(X1,X2,X3)
| ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
( unequally_directed_lines(reverse_line(esk1_0),X1)
| unequally_directed_lines(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_31]) ).
cnf(c_0_39,plain,
( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_32,c_0_33]),c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( before_on_line(X1,esk2_0,esk3_0)
| unequally_directed_lines(X1,reverse_line(line_connecting(esk3_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( before_on_line(X1,esk3_0,esk2_0)
| unequally_directed_lines(X1,line_connecting(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( unequally_directed_lines(esk1_0,line_connecting(X1,X2))
| ~ before_on_line(reverse_line(esk1_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( before_on_line(X1,esk2_0,esk3_0)
| ~ unequally_directed_lines(X1,line_connecting(esk3_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( before_on_line(X1,esk3_0,esk2_0)
| unequally_directed_lines(line_connecting(esk3_0,esk2_0),X2)
| unequally_directed_lines(X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( ~ before_on_line(reverse_line(esk1_0),X1,X2)
| ~ before_on_line(esk1_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( before_on_line(X1,esk3_0,esk2_0)
| before_on_line(X1,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_23]) ).
cnf(c_0_47,negated_conjecture,
before_on_line(reverse_line(esk1_0),esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_30])]) ).
cnf(c_0_48,negated_conjecture,
before_on_line(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_49,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_47]),c_0_48])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n020.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 16:08:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.26/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.42 # Preprocessing time : 0.017 s
% 0.26/1.42
% 0.26/1.42 # Proof found!
% 0.26/1.42 # SZS status Theorem
% 0.26/1.42 # SZS output start CNFRefutation
% See solution above
% 0.26/1.42 # Proof object total steps : 50
% 0.26/1.42 # Proof object clause steps : 31
% 0.26/1.42 # Proof object formula steps : 19
% 0.26/1.42 # Proof object conjectures : 22
% 0.26/1.42 # Proof object clause conjectures : 19
% 0.26/1.42 # Proof object formula conjectures : 3
% 0.26/1.42 # Proof object initial clauses used : 14
% 0.26/1.42 # Proof object initial formulas used : 9
% 0.26/1.42 # Proof object generating inferences : 15
% 0.26/1.42 # Proof object simplifying inferences : 12
% 0.26/1.42 # Training examples: 0 positive, 0 negative
% 0.26/1.42 # Parsed axioms : 32
% 0.26/1.42 # Removed by relevancy pruning/SinE : 11
% 0.26/1.42 # Initial clauses : 38
% 0.26/1.42 # Removed in clause preprocessing : 0
% 0.26/1.42 # Initial clauses in saturation : 38
% 0.26/1.42 # Processed clauses : 207
% 0.26/1.43 # ...of these trivial : 2
% 0.26/1.43 # ...subsumed : 110
% 0.26/1.43 # ...remaining for further processing : 95
% 0.26/1.43 # Other redundant clauses eliminated : 0
% 0.26/1.43 # Clauses deleted for lack of memory : 0
% 0.26/1.43 # Backward-subsumed : 4
% 0.26/1.43 # Backward-rewritten : 2
% 0.26/1.43 # Generated clauses : 661
% 0.26/1.43 # ...of the previous two non-trivial : 531
% 0.26/1.43 # Contextual simplify-reflections : 39
% 0.26/1.43 # Paramodulations : 509
% 0.26/1.43 # Factorizations : 152
% 0.26/1.43 # Equation resolutions : 0
% 0.26/1.43 # Current number of processed clauses : 89
% 0.26/1.43 # Positive orientable unit clauses : 11
% 0.26/1.43 # Positive unorientable unit clauses: 0
% 0.26/1.43 # Negative unit clauses : 7
% 0.26/1.43 # Non-unit-clauses : 71
% 0.26/1.43 # Current number of unprocessed clauses: 351
% 0.26/1.43 # ...number of literals in the above : 1528
% 0.26/1.43 # Current number of archived formulas : 0
% 0.26/1.43 # Current number of archived clauses : 6
% 0.26/1.43 # Clause-clause subsumption calls (NU) : 2237
% 0.26/1.43 # Rec. Clause-clause subsumption calls : 1247
% 0.26/1.43 # Non-unit clause-clause subsumptions : 137
% 0.26/1.43 # Unit Clause-clause subsumption calls : 60
% 0.26/1.43 # Rewrite failures with RHS unbound : 0
% 0.26/1.43 # BW rewrite match attempts : 3
% 0.26/1.43 # BW rewrite match successes : 3
% 0.26/1.43 # Condensation attempts : 0
% 0.26/1.43 # Condensation successes : 0
% 0.26/1.43 # Termbank termtop insertions : 8661
% 0.26/1.43
% 0.26/1.43 # -------------------------------------------------
% 0.26/1.43 # User time : 0.032 s
% 0.26/1.43 # System time : 0.004 s
% 0.26/1.43 # Total time : 0.036 s
% 0.26/1.43 # Maximum resident set size: 3276 pages
% 0.26/23.42 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------