TSTP Solution File: GEO088+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO088+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 173 ( 59 ~; 88 |; 20 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 4 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_2_10,conjecture,
! [X1,X8,X3] :
( ( part_of(X8,X1)
& end_point(X3,X1)
& incident_c(X3,X8) )
=> end_point(X3,X8) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',theorem_2_10) ).
fof(part_of_defn,axiom,
! [X1,X2] :
( part_of(X2,X1)
<=> ! [X3] :
( incident_c(X3,X2)
=> incident_c(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',part_of_defn) ).
fof(end_point_defn,axiom,
! [X3,X1] :
( end_point(X3,X1)
<=> ( incident_c(X3,X1)
& ! [X2,X4] :
( ( part_of(X2,X1)
& part_of(X4,X1)
& incident_c(X3,X2)
& incident_c(X3,X4) )
=> ( part_of(X2,X4)
| part_of(X4,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X8,X3] :
( ( part_of(X8,X1)
& end_point(X3,X1)
& incident_c(X3,X8) )
=> end_point(X3,X8) ),
inference(assume_negation,[status(cth)],[theorem_2_10]) ).
fof(c_0_4,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ part_of(X5,X4)
| ~ incident_c(X6,X5)
| incident_c(X6,X4) )
& ( incident_c(esk5_2(X4,X5),X5)
| part_of(X5,X4) )
& ( ~ incident_c(esk5_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_5,plain,
! [X5,X6,X7,X8,X5,X6] :
( ( incident_c(X5,X6)
| ~ end_point(X5,X6) )
& ( ~ part_of(X7,X6)
| ~ part_of(X8,X6)
| ~ incident_c(X5,X7)
| ~ incident_c(X5,X8)
| part_of(X7,X8)
| part_of(X8,X7)
| ~ end_point(X5,X6) )
& ( part_of(esk6_2(X5,X6),X6)
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( part_of(esk7_2(X5,X6),X6)
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( incident_c(X5,esk6_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( incident_c(X5,esk7_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( ~ part_of(esk6_2(X5,X6),esk7_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) )
& ( ~ part_of(esk7_2(X5,X6),esk6_2(X5,X6))
| ~ incident_c(X5,X6)
| end_point(X5,X6) ) ),
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)],[end_point_defn])])])])])])]) ).
fof(c_0_6,negated_conjecture,
( part_of(esk2_0,esk1_0)
& end_point(esk3_0,esk1_0)
& incident_c(esk3_0,esk2_0)
& ~ end_point(esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_7,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( end_point(X1,X2)
| part_of(esk7_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( end_point(X1,X2)
| incident_c(X3,X2)
| ~ incident_c(X3,esk7_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( part_of(X1,X2)
| incident_c(esk5_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( part_of(X3,X4)
| part_of(X4,X3)
| ~ end_point(X1,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
end_point(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( incident_c(X1,esk1_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_15,plain,
( end_point(X1,X2)
| incident_c(esk5_2(X3,esk7_2(X1,X2)),X2)
| part_of(esk7_2(X1,X2),X3)
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( end_point(X1,X2)
| part_of(esk6_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,negated_conjecture,
( part_of(X1,X2)
| part_of(X2,X1)
| ~ incident_c(esk3_0,X1)
| ~ incident_c(esk3_0,X2)
| ~ part_of(X1,esk1_0)
| ~ part_of(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( end_point(X1,X2)
| incident_c(X1,esk7_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,plain,
( part_of(X1,X2)
| ~ incident_c(esk5_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,negated_conjecture,
( end_point(X1,esk2_0)
| incident_c(esk5_2(X2,esk7_2(X1,esk2_0)),esk1_0)
| part_of(esk7_2(X1,esk2_0),X2)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( end_point(X1,X2)
| incident_c(X3,X2)
| ~ incident_c(X3,esk6_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( end_point(esk3_0,X1)
| part_of(X2,esk7_2(esk3_0,X1))
| part_of(esk7_2(esk3_0,X1),X2)
| ~ incident_c(esk3_0,X2)
| ~ incident_c(esk3_0,X1)
| ~ part_of(esk7_2(esk3_0,X1),esk1_0)
| ~ part_of(X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( end_point(X1,esk2_0)
| part_of(esk7_2(X1,esk2_0),esk1_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
incident_c(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
~ end_point(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,plain,
( end_point(X1,X2)
| incident_c(esk5_2(X3,esk6_2(X1,X2)),X2)
| part_of(esk6_2(X1,X2),X3)
| ~ incident_c(X1,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_27,negated_conjecture,
( part_of(esk7_2(esk3_0,esk2_0),X1)
| part_of(X1,esk7_2(esk3_0,esk2_0))
| ~ incident_c(esk3_0,X1)
| ~ part_of(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_28,plain,
( end_point(X1,X2)
| incident_c(X1,esk6_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,negated_conjecture,
( end_point(X1,esk2_0)
| incident_c(esk5_2(X2,esk6_2(X1,esk2_0)),esk1_0)
| part_of(esk6_2(X1,esk2_0),X2)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( end_point(esk3_0,X1)
| part_of(esk6_2(esk3_0,X1),esk7_2(esk3_0,esk2_0))
| part_of(esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,X1))
| ~ incident_c(esk3_0,X1)
| ~ part_of(esk6_2(esk3_0,X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( end_point(X1,esk2_0)
| part_of(esk6_2(X1,esk2_0),esk1_0)
| ~ incident_c(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_32,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk7_2(X1,X2),esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,negated_conjecture,
( part_of(esk7_2(esk3_0,esk2_0),esk6_2(esk3_0,esk2_0))
| part_of(esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_24])]),c_0_25]) ).
cnf(c_0_34,plain,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk6_2(X1,X2),esk7_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_35,negated_conjecture,
part_of(esk6_2(esk3_0,esk2_0),esk7_2(esk3_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24])]),c_0_25]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO088+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 13:33:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.015 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 37
% 0.24/1.42 # Proof object clause steps : 30
% 0.24/1.42 # Proof object formula steps : 7
% 0.24/1.42 # Proof object conjectures : 19
% 0.24/1.42 # Proof object clause conjectures : 16
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 14
% 0.24/1.42 # Proof object initial formulas used : 3
% 0.24/1.42 # Proof object generating inferences : 16
% 0.24/1.42 # Proof object simplifying inferences : 12
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 17
% 0.24/1.42 # Removed by relevancy pruning/SinE : 10
% 0.24/1.42 # Initial clauses : 21
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 21
% 0.24/1.42 # Processed clauses : 387
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 139
% 0.24/1.42 # ...remaining for further processing : 248
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 12
% 0.24/1.42 # Backward-rewritten : 1
% 0.24/1.42 # Generated clauses : 2748
% 0.24/1.42 # ...of the previous two non-trivial : 2650
% 0.24/1.42 # Contextual simplify-reflections : 143
% 0.24/1.42 # Paramodulations : 2693
% 0.24/1.42 # Factorizations : 54
% 0.24/1.42 # Equation resolutions : 1
% 0.24/1.42 # Current number of processed clauses : 235
% 0.24/1.42 # Positive orientable unit clauses : 6
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 1
% 0.24/1.42 # Non-unit-clauses : 228
% 0.24/1.42 # Current number of unprocessed clauses: 2187
% 0.24/1.42 # ...number of literals in the above : 15464
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 13
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 10343
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 2088
% 0.24/1.42 # Non-unit clause-clause subsumptions : 294
% 0.24/1.42 # Unit Clause-clause subsumption calls : 11
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 17
% 0.24/1.42 # BW rewrite match successes : 1
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 109333
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.131 s
% 0.24/1.42 # System time : 0.006 s
% 0.24/1.42 # Total time : 0.137 s
% 0.24/1.42 # Maximum resident set size: 6524 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------