TSTP Solution File: GEO087+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 04:03:30 EDT 2022
% Result : Theorem 0.27s 1.44s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 96 ( 38 ~; 35 |; 16 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 50 ( 8 sgn 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_9,conjecture,
! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',corollary_2_9) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(inner_point_defn,axiom,
! [X3,X1] :
( inner_point(X3,X1)
<=> ( incident_c(X3,X1)
& ~ end_point(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(c3,axiom,
! [X1] :
? [X3] : inner_point(X3,X1),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(meet_defn,axiom,
! [X3,X1,X2] :
( meet(X3,X1,X2)
<=> ( incident_c(X3,X1)
& incident_c(X3,X2)
& ! [X5] :
( ( incident_c(X5,X1)
& incident_c(X5,X2) )
=> ( end_point(X5,X1)
& end_point(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',meet_defn) ).
fof(c_0_5,negated_conjecture,
~ ! [X2,X4] :
( part_of(X2,X4)
=> ~ ? [X3] : meet(X3,X2,X4) ),
inference(assume_negation,[status(cth)],[corollary_2_9]) ).
fof(c_0_6,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ part_of(X5,X4)
| ~ incident_c(X6,X5)
| incident_c(X6,X4) )
& ( incident_c(esk6_2(X4,X5),X5)
| part_of(X5,X4) )
& ( ~ incident_c(esk6_2(X4,X5),X4)
| part_of(X5,X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[part_of_defn])])])])])])]) ).
fof(c_0_7,negated_conjecture,
( part_of(esk1_0,esk2_0)
& meet(esk3_0,esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X4,X5] :
( ( incident_c(X4,X5)
| ~ inner_point(X4,X5) )
& ( ~ end_point(X4,X5)
| ~ inner_point(X4,X5) )
& ( ~ incident_c(X4,X5)
| end_point(X4,X5)
| inner_point(X4,X5) ) ),
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)],[inner_point_defn])])])])])]) ).
fof(c_0_9,plain,
! [X4] : inner_point(esk14_1(X4),X4),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c3])]) ).
fof(c_0_10,plain,
! [X6,X7,X8,X9,X6,X7,X8] :
( ( incident_c(X6,X7)
| ~ meet(X6,X7,X8) )
& ( incident_c(X6,X8)
| ~ meet(X6,X7,X8) )
& ( end_point(X9,X7)
| ~ incident_c(X9,X7)
| ~ incident_c(X9,X8)
| ~ meet(X6,X7,X8) )
& ( end_point(X9,X8)
| ~ incident_c(X9,X7)
| ~ incident_c(X9,X8)
| ~ meet(X6,X7,X8) )
& ( incident_c(esk4_3(X6,X7,X8),X7)
| ~ incident_c(X6,X7)
| ~ incident_c(X6,X8)
| meet(X6,X7,X8) )
& ( incident_c(esk4_3(X6,X7,X8),X8)
| ~ incident_c(X6,X7)
| ~ incident_c(X6,X8)
| meet(X6,X7,X8) )
& ( ~ end_point(esk4_3(X6,X7,X8),X7)
| ~ end_point(esk4_3(X6,X7,X8),X8)
| ~ incident_c(X6,X7)
| ~ incident_c(X6,X8)
| meet(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meet_defn])])])])])])]) ).
cnf(c_0_11,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
inner_point(esk14_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( end_point(X4,X2)
| ~ meet(X1,X2,X3)
| ~ incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
meet(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( incident_c(X1,esk2_0)
| ~ incident_c(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( incident_c(X1,X2)
| ~ inner_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
~ end_point(esk14_1(X1),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( end_point(X1,esk1_0)
| ~ incident_c(X1,esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,plain,
incident_c(esk14_1(X1),X1),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 17:12:49 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.27/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.44 # Preprocessing time : 0.019 s
% 0.27/1.44
% 0.27/1.44 # Proof found!
% 0.27/1.44 # SZS status Theorem
% 0.27/1.44 # SZS output start CNFRefutation
% See solution above
% 0.27/1.44 # Proof object total steps : 23
% 0.27/1.44 # Proof object clause steps : 12
% 0.27/1.44 # Proof object formula steps : 11
% 0.27/1.44 # Proof object conjectures : 8
% 0.27/1.44 # Proof object clause conjectures : 5
% 0.27/1.44 # Proof object formula conjectures : 3
% 0.27/1.44 # Proof object initial clauses used : 7
% 0.27/1.44 # Proof object initial formulas used : 5
% 0.27/1.44 # Proof object generating inferences : 5
% 0.27/1.44 # Proof object simplifying inferences : 3
% 0.27/1.44 # Training examples: 0 positive, 0 negative
% 0.27/1.44 # Parsed axioms : 17
% 0.27/1.44 # Removed by relevancy pruning/SinE : 4
% 0.27/1.44 # Initial clauses : 39
% 0.27/1.44 # Removed in clause preprocessing : 0
% 0.27/1.44 # Initial clauses in saturation : 39
% 0.27/1.44 # Processed clauses : 53
% 0.27/1.44 # ...of these trivial : 0
% 0.27/1.44 # ...subsumed : 1
% 0.27/1.44 # ...remaining for further processing : 52
% 0.27/1.44 # Other redundant clauses eliminated : 3
% 0.27/1.44 # Clauses deleted for lack of memory : 0
% 0.27/1.44 # Backward-subsumed : 0
% 0.27/1.44 # Backward-rewritten : 0
% 0.27/1.44 # Generated clauses : 71
% 0.27/1.44 # ...of the previous two non-trivial : 52
% 0.27/1.44 # Contextual simplify-reflections : 2
% 0.27/1.44 # Paramodulations : 57
% 0.27/1.44 # Factorizations : 8
% 0.27/1.44 # Equation resolutions : 6
% 0.27/1.44 # Current number of processed clauses : 52
% 0.27/1.44 # Positive orientable unit clauses : 9
% 0.27/1.44 # Positive unorientable unit clauses: 0
% 0.27/1.44 # Negative unit clauses : 2
% 0.27/1.44 # Non-unit-clauses : 41
% 0.27/1.44 # Current number of unprocessed clauses: 38
% 0.27/1.44 # ...number of literals in the above : 152
% 0.27/1.44 # Current number of archived formulas : 0
% 0.27/1.44 # Current number of archived clauses : 0
% 0.27/1.44 # Clause-clause subsumption calls (NU) : 290
% 0.27/1.44 # Rec. Clause-clause subsumption calls : 90
% 0.27/1.44 # Non-unit clause-clause subsumptions : 3
% 0.27/1.44 # Unit Clause-clause subsumption calls : 10
% 0.27/1.44 # Rewrite failures with RHS unbound : 0
% 0.27/1.44 # BW rewrite match attempts : 16
% 0.27/1.44 # BW rewrite match successes : 0
% 0.27/1.44 # Condensation attempts : 0
% 0.27/1.44 # Condensation successes : 0
% 0.27/1.44 # Termbank termtop insertions : 3566
% 0.27/1.44
% 0.27/1.44 # -------------------------------------------------
% 0.27/1.44 # User time : 0.018 s
% 0.27/1.44 # System time : 0.004 s
% 0.27/1.44 # Total time : 0.022 s
% 0.27/1.44 # Maximum resident set size: 3024 pages
% 0.27/23.44 eprover: CPU time limit exceeded, terminating
% 0.27/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.46 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.47 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.48 eprover: No such file or directory
% 0.27/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.49 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50 eprover: No such file or directory
% 0.27/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.50 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.51 eprover: No such file or directory
% 0.27/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.27/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------