%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO271+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 04:05:14 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 85 ( 26 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 104 ( 43 ~; 37 |; 21 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(theu(the(211), 1), imp(the(211)))',conjecture,
! [X1] :
( ( ron(vd1057,X1)
& rcenter(vd1055,X1)
& rcircle(X1) )
=> X1 = vd1061 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(theu(the(211), 1), imp(the(211)))') ).
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X136,X137,X138,X139,X140] :
( ( vf(X138,X136) = vf(X138,X137)
& ron(X137,X140)
& ron(X136,X139)
& rcenter(X138,X140)
& rcenter(X138,X139)
& ? [X141] :
( X137 = X141
& rpoint(X141) )
& ? [X142] :
( X136 = X142
& rpoint(X142) ) )
=> X139 = X140 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))',axiom,
( vd1057 = vd1058
& vd1055 != vd1057
& rpoint(vd1058)
& vd1055 = vd1056
& rpoint(vd1056) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))') ).
fof('and(pred(comma_conjunct2(the(211)), 0), and(pred(comma_conjunct1(the(211)), 0), pred(the(211), 0)))',axiom,
( ron(vd1057,vd1061)
& rcenter(vd1055,vd1061)
& rcircle(vd1061) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(comma_conjunct2(the(211)), 0), and(pred(comma_conjunct1(the(211)), 0), pred(the(211), 0)))') ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( ron(vd1057,X1)
& rcenter(vd1055,X1)
& rcircle(X1) )
=> X1 = vd1061 ),
inference(assume_negation,[status(cth)],['qu(theu(the(211), 1), imp(the(211)))']) ).
fof(c_0_5,plain,
! [X143,X144,X145,X146,X147,X148,X149] :
( vf(X145,X143) != vf(X145,X144)
| ~ ron(X144,X147)
| ~ ron(X143,X146)
| ~ rcenter(X145,X147)
| ~ rcenter(X145,X146)
| X144 != X148
| ~ rpoint(X148)
| X143 != X149
| ~ rpoint(X149)
| X146 = X147 ),
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(182), 0), imp(cond(axiom(182), 0)))'])])])])]) ).
fof(c_0_6,negated_conjecture,
( ron(vd1057,esk1_0)
& rcenter(vd1055,esk1_0)
& rcircle(esk1_0)
& esk1_0 != vd1061 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( X1 = X2
| ~ rpoint(X3)
| X4 != X3
| ~ rpoint(X5)
| X6 != X5
| ~ rcenter(X7,X1)
| ~ rcenter(X7,X2)
| ~ ron(X4,X1)
| ~ ron(X6,X2)
| vf(X7,X4) != vf(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
rcenter(vd1055,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
vd1055 = vd1056,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_10,plain,
( X1 = X2
| vf(X3,X4) != vf(X3,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rcenter(X3,X2)
| ~ rcenter(X3,X1)
| ~ ron(X5,X2)
| ~ ron(X4,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])]) ).
cnf(c_0_11,negated_conjecture,
rcenter(vd1056,esk1_0),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
rcenter(vd1055,vd1061),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(211)), 0), and(pred(comma_conjunct1(the(211)), 0), pred(the(211), 0)))']) ).
cnf(c_0_13,negated_conjecture,
( X1 = esk1_0
| vf(vd1056,X2) != vf(vd1056,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rcenter(vd1056,X1)
| ~ ron(X3,esk1_0)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
rcenter(vd1056,vd1061),
inference(rw,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
esk1_0 != vd1061,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( vf(vd1056,X1) != vf(vd1056,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,esk1_0)
| ~ ron(X1,vd1061) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_17,plain,
rpoint(vd1058),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_18,plain,
vd1057 = vd1058,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))']) ).
cnf(c_0_19,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1061) ),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
ron(vd1057,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
rpoint(vd1057),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
ron(vd1057,vd1061),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(211)), 0), and(pred(comma_conjunct1(the(211)), 0), pred(the(211), 0)))']) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO271+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n026.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 : Fri Jun 17 22:29:54 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.058 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 24
% 0.23/1.41 # Proof object clause steps : 17
% 0.23/1.41 # Proof object formula steps : 7
% 0.23/1.41 # Proof object conjectures : 11
% 0.23/1.41 # Proof object clause conjectures : 8
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 9
% 0.23/1.41 # Proof object initial formulas used : 4
% 0.23/1.41 # Proof object generating inferences : 4
% 0.23/1.41 # Proof object simplifying inferences : 9
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 105
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 260
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 258
% 0.23/1.41 # Processed clauses : 620
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 120
% 0.23/1.41 # ...remaining for further processing : 500
% 0.23/1.41 # Other redundant clauses eliminated : 1088
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 2
% 0.23/1.41 # Backward-rewritten : 10
% 0.23/1.41 # Generated clauses : 1281
% 0.23/1.41 # ...of the previous two non-trivial : 1208
% 0.23/1.41 # Contextual simplify-reflections : 160
% 0.23/1.41 # Paramodulations : 1015
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 1105
% 0.23/1.41 # Current number of processed clauses : 247
% 0.23/1.41 # Positive orientable unit clauses : 18
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 13
% 0.23/1.41 # Non-unit-clauses : 216
% 0.23/1.41 # Current number of unprocessed clauses: 775
% 0.23/1.41 # ...number of literals in the above : 8387
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 12
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 35571
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 2393
% 0.23/1.41 # Non-unit clause-clause subsumptions : 283
% 0.23/1.41 # Unit Clause-clause subsumption calls : 668
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 6
% 0.23/1.41 # BW rewrite match successes : 6
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 79454
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.140 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.142 s
% 0.23/1.41 # Maximum resident set size: 6344 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------