TSTP Solution File: GEO083+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 04:03:28 EDT 2022
% Result : Theorem 0.25s 8.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 92 ( 10 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 96 ( 33 ~; 43 |; 14 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 75 ( 12 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_6_1,conjecture,
! [X2,X4,X6,X3] :
( ( part_of(X4,X6)
& meet(X3,X2,X4)
& meet(X3,X2,X6) )
=> part_of(sum(X2,X4),sum(X2,X6)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',corollary_2_6_1) ).
fof(sum_defn,axiom,
! [X1,X2,X4] :
( X1 = sum(X2,X4)
<=> ! [X5] :
( incident_c(X5,X1)
<=> ( incident_c(X5,X2)
| incident_c(X5,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax',sum_defn) ).
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(c_0_3,negated_conjecture,
~ ! [X2,X4,X6,X3] :
( ( part_of(X4,X6)
& meet(X3,X2,X4)
& meet(X3,X2,X6) )
=> part_of(sum(X2,X4),sum(X2,X6)) ),
inference(assume_negation,[status(cth)],[corollary_2_6_1]) ).
fof(c_0_4,plain,
! [X6,X7,X8,X9,X9,X6,X7,X8] :
( ( ~ incident_c(X9,X6)
| incident_c(X9,X7)
| incident_c(X9,X8)
| X6 != sum(X7,X8) )
& ( ~ incident_c(X9,X7)
| incident_c(X9,X6)
| X6 != sum(X7,X8) )
& ( ~ incident_c(X9,X8)
| incident_c(X9,X6)
| X6 != sum(X7,X8) )
& ( ~ incident_c(esk2_3(X6,X7,X8),X7)
| ~ incident_c(esk2_3(X6,X7,X8),X6)
| X6 = sum(X7,X8) )
& ( ~ incident_c(esk2_3(X6,X7,X8),X8)
| ~ incident_c(esk2_3(X6,X7,X8),X6)
| X6 = sum(X7,X8) )
& ( incident_c(esk2_3(X6,X7,X8),X6)
| incident_c(esk2_3(X6,X7,X8),X7)
| incident_c(esk2_3(X6,X7,X8),X8)
| X6 = sum(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)],[sum_defn])])])])])])]) ).
fof(c_0_5,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ part_of(X5,X4)
| ~ incident_c(X6,X5)
| incident_c(X6,X4) )
& ( incident_c(esk1_2(X4,X5),X5)
| part_of(X5,X4) )
& ( ~ incident_c(esk1_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_6,negated_conjecture,
( part_of(esk15_0,esk16_0)
& meet(esk17_0,esk14_0,esk15_0)
& meet(esk17_0,esk14_0,esk16_0)
& ~ part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_7,plain,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( incident_c(X1,X2)
| ~ incident_c(X1,X3)
| ~ part_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
part_of(esk15_0,esk16_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( part_of(X1,X2)
| ~ incident_c(esk1_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X3) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( incident_c(X1,esk16_0)
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( part_of(X1,X2)
| incident_c(esk1_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk1_2(sum(X2,X3),X1),X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( incident_c(esk1_2(X1,esk15_0),esk16_0)
| part_of(esk15_0,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
part_of(esk15_0,sum(X1,esk16_0)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( incident_c(X4,X3)
| incident_c(X4,X2)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( incident_c(X4,X1)
| X1 != sum(X2,X3)
| ~ incident_c(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( incident_c(X1,sum(X2,esk16_0))
| ~ incident_c(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_8,c_0_16]) ).
cnf(c_0_20,plain,
( incident_c(X1,X2)
| incident_c(X1,X3)
| ~ incident_c(X1,sum(X3,X2)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( incident_c(X1,sum(X2,X3))
| ~ incident_c(X1,X2) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( part_of(X1,sum(X2,esk16_0))
| ~ incident_c(esk1_2(sum(X2,esk16_0),X1),esk15_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_19]) ).
cnf(c_0_23,plain,
( incident_c(esk1_2(X1,sum(X2,X3)),X2)
| incident_c(esk1_2(X1,sum(X2,X3)),X3)
| part_of(sum(X2,X3),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_24,plain,
( part_of(X1,sum(X2,X3))
| ~ incident_c(esk1_2(sum(X2,X3),X1),X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( incident_c(esk1_2(sum(X1,esk16_0),sum(X2,esk15_0)),X2)
| part_of(sum(X2,esk15_0),sum(X1,esk16_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
~ part_of(sum(esk14_0,esk15_0),sum(esk14_0,esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
part_of(sum(X1,esk15_0),sum(X1,esk16_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 19:03:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/8.43 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/8.43 # Preprocessing time : 0.017 s
% 0.25/8.43
% 0.25/8.43 # Proof found!
% 0.25/8.43 # SZS status Theorem
% 0.25/8.43 # SZS output start CNFRefutation
% See solution above
% 0.25/8.43 # Proof object total steps : 29
% 0.25/8.43 # Proof object clause steps : 22
% 0.25/8.43 # Proof object formula steps : 7
% 0.25/8.43 # Proof object conjectures : 13
% 0.25/8.43 # Proof object clause conjectures : 10
% 0.25/8.43 # Proof object formula conjectures : 3
% 0.25/8.43 # Proof object initial clauses used : 8
% 0.25/8.43 # Proof object initial formulas used : 3
% 0.25/8.43 # Proof object generating inferences : 13
% 0.25/8.43 # Proof object simplifying inferences : 2
% 0.25/8.43 # Training examples: 0 positive, 0 negative
% 0.25/8.43 # Parsed axioms : 17
% 0.25/8.43 # Removed by relevancy pruning/SinE : 0
% 0.25/8.43 # Initial clauses : 47
% 0.25/8.43 # Removed in clause preprocessing : 0
% 0.25/8.43 # Initial clauses in saturation : 47
% 0.25/8.43 # Processed clauses : 9662
% 0.25/8.43 # ...of these trivial : 50
% 0.25/8.43 # ...subsumed : 4908
% 0.25/8.43 # ...remaining for further processing : 4704
% 0.25/8.43 # Other redundant clauses eliminated : 56
% 0.25/8.43 # Clauses deleted for lack of memory : 179871
% 0.25/8.43 # Backward-subsumed : 270
% 0.25/8.43 # Backward-rewritten : 284
% 0.25/8.43 # Generated clauses : 318354
% 0.25/8.43 # ...of the previous two non-trivial : 305667
% 0.25/8.43 # Contextual simplify-reflections : 6460
% 0.25/8.43 # Paramodulations : 317351
% 0.25/8.43 # Factorizations : 872
% 0.25/8.43 # Equation resolutions : 114
% 0.25/8.43 # Current number of processed clauses : 4133
% 0.25/8.43 # Positive orientable unit clauses : 86
% 0.25/8.43 # Positive unorientable unit clauses: 0
% 0.25/8.43 # Negative unit clauses : 20
% 0.25/8.43 # Non-unit-clauses : 4027
% 0.25/8.43 # Current number of unprocessed clauses: 97869
% 0.25/8.43 # ...number of literals in the above : 690550
% 0.25/8.43 # Current number of archived formulas : 0
% 0.25/8.43 # Current number of archived clauses : 571
% 0.25/8.43 # Clause-clause subsumption calls (NU) : 5351844
% 0.25/8.43 # Rec. Clause-clause subsumption calls : 852229
% 0.25/8.43 # Non-unit clause-clause subsumptions : 11478
% 0.25/8.43 # Unit Clause-clause subsumption calls : 18024
% 0.25/8.43 # Rewrite failures with RHS unbound : 0
% 0.25/8.43 # BW rewrite match attempts : 185
% 0.25/8.43 # BW rewrite match successes : 22
% 0.25/8.43 # Condensation attempts : 0
% 0.25/8.43 # Condensation successes : 0
% 0.25/8.43 # Termbank termtop insertions : 10171461
% 0.25/8.43
% 0.25/8.43 # -------------------------------------------------
% 0.25/8.43 # User time : 7.210 s
% 0.25/8.43 # System time : 0.099 s
% 0.25/8.43 # Total time : 7.309 s
% 0.25/8.43 # Maximum resident set size: 138352 pages
% 0.25/23.39 eprover: CPU time limit exceeded, terminating
% 0.25/23.40 eprover: CPU time limit exceeded, terminating
% 0.25/23.40 eprover: CPU time limit exceeded, terminating
% 0.25/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.41 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.inCannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------