TSTP Solution File: GEO344+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO344+1 : TPTP v8.1.0. Released v4.1.0.
% 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 04:05:31 EDT 2022
% Result : Theorem 0.22s 1.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 121 ( 45 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 145 ( 53 ~; 44 |; 45 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 36 ( 0 sgn 14 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X16,X17,X18,X19] :
( ( ron(X17,X19)
& ron(X17,X18)
& ron(X16,X19)
& ron(X16,X18)
& ? [X20] :
( X19 = X20
& rline(X20) )
& ? [X21] :
( X18 = X21
& rline(X21) )
& X16 != X17
& ? [X22] :
( X17 = X22
& rpoint(X22) )
& ? [X23] :
( X16 = X23
& rpoint(X23) ) )
=> X18 = X19 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(theu(the(409), 1), imp(the(409)))',conjecture,
! [X1] :
( ( ron(vd1409,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1419 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(theu(the(409), 1), imp(the(409)))') ).
fof('pred(406, 0)',axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(406, 0)') ).
fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X2] :
( vd1401 = X2
& rpoint(X2) )
& ? [X3] :
( vd1400 = X3
& rpoint(X3) )
& ? [X4] :
( vd1399 = X4
& rpoint(X4) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof('and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))',axiom,
( ron(vd1409,vd1419)
& ron(vd1401,vd1419)
& rline(vd1419) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))') ).
fof('holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)',axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(c_0_6,plain,
! [X24,X25,X26,X27,X28,X29,X30,X31] :
( ~ ron(X25,X27)
| ~ ron(X25,X26)
| ~ ron(X24,X27)
| ~ ron(X24,X26)
| X27 != X28
| ~ rline(X28)
| X26 != X29
| ~ rline(X29)
| X24 = X25
| X25 != X30
| ~ rpoint(X30)
| X24 != X31
| ~ rpoint(X31)
| X26 = X27 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( ron(vd1409,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1419 ),
inference(assume_negation,[status(cth)],['qu(theu(the(409), 1), imp(the(409)))']) ).
cnf(c_0_8,plain,
( X1 = X2
| X4 = X6
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ rline(X7)
| X1 != X7
| ~ rline(X8)
| X2 != X8
| ~ ron(X4,X1)
| ~ ron(X4,X2)
| ~ ron(X6,X1)
| ~ ron(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,negated_conjecture,
( ron(vd1409,esk1_0)
& ron(vd1401,esk1_0)
& rline(esk1_0)
& esk1_0 != vd1419 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_10,plain,
( X1 = X2
| X3 = X4
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rline(X4)
| ~ rline(X3)
| ~ ron(X2,X4)
| ~ ron(X2,X3)
| ~ ron(X1,X4)
| ~ ron(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_11,negated_conjecture,
ron(vd1409,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
rpoint(vd1409),
inference(split_conjunct,[status(thm)],['pred(406, 0)']) ).
cnf(c_0_13,negated_conjecture,
rline(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = esk2_0
& rpoint(esk2_0)
& vd1400 = esk3_0
& rpoint(esk3_0)
& vd1399 = esk4_0
& rpoint(esk4_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])])])]) ).
cnf(c_0_15,negated_conjecture,
( X1 = esk1_0
| X2 = vd1409
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1409,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_16,plain,
ron(vd1409,vd1419),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))']) ).
cnf(c_0_17,plain,
rline(vd1419),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))']) ).
cnf(c_0_18,negated_conjecture,
esk1_0 != vd1419,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
ron(vd1401,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
vd1401 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
ron(vd1401,vd1419),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))']) ).
cnf(c_0_22,plain,
vd1409 != vd1401,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)']) ).
cnf(c_0_23,negated_conjecture,
( X1 = vd1409
| ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1419) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_24,negated_conjecture,
ron(esk2_0,esk1_0),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26,plain,
ron(esk2_0,vd1419),
inference(rw,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_27,plain,
vd1409 != esk2_0,
inference(rw,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO344+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n020.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 15:57:03 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.22/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41 # Preprocessing time : 0.064 s
% 0.22/1.41
% 0.22/1.41 # Proof found!
% 0.22/1.41 # SZS status Theorem
% 0.22/1.41 # SZS output start CNFRefutation
% See solution above
% 0.22/1.41 # Proof object total steps : 29
% 0.22/1.41 # Proof object clause steps : 19
% 0.22/1.41 # Proof object formula steps : 10
% 0.22/1.41 # Proof object conjectures : 11
% 0.22/1.41 # Proof object clause conjectures : 8
% 0.22/1.41 # Proof object formula conjectures : 3
% 0.22/1.41 # Proof object initial clauses used : 12
% 0.22/1.41 # Proof object initial formulas used : 6
% 0.22/1.41 # Proof object generating inferences : 3
% 0.22/1.41 # Proof object simplifying inferences : 17
% 0.22/1.41 # Training examples: 0 positive, 0 negative
% 0.22/1.41 # Parsed axioms : 128
% 0.22/1.41 # Removed by relevancy pruning/SinE : 0
% 0.22/1.41 # Initial clauses : 302
% 0.22/1.41 # Removed in clause preprocessing : 2
% 0.22/1.41 # Initial clauses in saturation : 300
% 0.22/1.41 # Processed clauses : 1816
% 0.22/1.41 # ...of these trivial : 12
% 0.22/1.41 # ...subsumed : 553
% 0.22/1.41 # ...remaining for further processing : 1251
% 0.22/1.41 # Other redundant clauses eliminated : 1197
% 0.22/1.41 # Clauses deleted for lack of memory : 0
% 0.22/1.41 # Backward-subsumed : 91
% 0.22/1.41 # Backward-rewritten : 53
% 0.22/1.41 # Generated clauses : 15073
% 0.22/1.41 # ...of the previous two non-trivial : 12522
% 0.22/1.41 # Contextual simplify-reflections : 1073
% 0.22/1.41 # Paramodulations : 14768
% 0.22/1.41 # Factorizations : 0
% 0.22/1.41 # Equation resolutions : 1211
% 0.22/1.41 # Current number of processed clauses : 836
% 0.22/1.41 # Positive orientable unit clauses : 51
% 0.22/1.41 # Positive unorientable unit clauses: 0
% 0.22/1.41 # Negative unit clauses : 23
% 0.22/1.41 # Non-unit-clauses : 762
% 0.22/1.41 # Current number of unprocessed clauses: 8673
% 0.22/1.41 # ...number of literals in the above : 95141
% 0.22/1.41 # Current number of archived formulas : 0
% 0.22/1.41 # Current number of archived clauses : 144
% 0.22/1.41 # Clause-clause subsumption calls (NU) : 494597
% 0.22/1.41 # Rec. Clause-clause subsumption calls : 21199
% 0.22/1.41 # Non-unit clause-clause subsumptions : 1684
% 0.22/1.41 # Unit Clause-clause subsumption calls : 4346
% 0.22/1.41 # Rewrite failures with RHS unbound : 0
% 0.22/1.41 # BW rewrite match attempts : 15
% 0.22/1.41 # BW rewrite match successes : 15
% 0.22/1.41 # Condensation attempts : 0
% 0.22/1.41 # Condensation successes : 0
% 0.22/1.41 # Termbank termtop insertions : 524391
% 0.22/1.41
% 0.22/1.41 # -------------------------------------------------
% 0.22/1.41 # User time : 0.491 s
% 0.22/1.41 # System time : 0.014 s
% 0.22/1.41 # Total time : 0.505 s
% 0.22/1.41 # Maximum resident set size: 16724 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------