TSTP Solution File: GEO278+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GEO278+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 04:05:15 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 76 ( 21 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 99 ( 42 ~; 37 |; 17 &)
% ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
! [X105,X106,X107,X108,X109] :
( ( vf(X107,X105) = vf(X107,X106)
& ron(X106,X109)
& ron(X105,X108)
& rcenter(X107,X109)
& rcenter(X107,X108)
& ? [X110] :
( X106 = X110
& rpoint(X110) )
& ? [X111] :
( X105 = X111
& rpoint(X111) ) )
=> X108 = X109 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof('qu(theu(the(231), 1), imp(the(231)))',conjecture,
! [X1] :
( ( ron(vd1096,X1)
& rcenter(vd1089,X1)
& rcircle(X1) )
=> X1 = vd1102 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(theu(the(231), 1), imp(the(231)))') ).
fof('and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))',axiom,
( ron(vd1096,vd1102)
& rcenter(vd1089,vd1102)
& rcircle(vd1102) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))') ).
fof('pred(229, 0)',axiom,
rpoint(vd1096),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','pred(229, 0)') ).
fof(c_0_4,plain,
! [X112,X113,X114,X115,X116,X117,X118] :
( vf(X114,X112) != vf(X114,X113)
| ~ ron(X113,X116)
| ~ ron(X112,X115)
| ~ rcenter(X114,X116)
| ~ rcenter(X114,X115)
| X113 != X117
| ~ rpoint(X117)
| X112 != X118
| ~ rpoint(X118)
| X115 = X116 ),
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_5,negated_conjecture,
~ ! [X1] :
( ( ron(vd1096,X1)
& rcenter(vd1089,X1)
& rcircle(X1) )
=> X1 = vd1102 ),
inference(assume_negation,[status(cth)],['qu(theu(the(231), 1), imp(the(231)))']) ).
cnf(c_0_6,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_4]) ).
fof(c_0_7,negated_conjecture,
( ron(vd1096,esk1_0)
& rcenter(vd1089,esk1_0)
& rcircle(esk1_0)
& esk1_0 != vd1102 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,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_6])]) ).
cnf(c_0_9,negated_conjecture,
rcenter(vd1089,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( X1 = esk1_0
| vf(vd1089,X2) != vf(vd1089,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rcenter(vd1089,X1)
| ~ ron(X3,esk1_0)
| ~ ron(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
rcenter(vd1089,vd1102),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))']) ).
cnf(c_0_12,negated_conjecture,
esk1_0 != vd1102,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( vf(vd1089,X1) != vf(vd1089,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ ron(X2,esk1_0)
| ~ ron(X1,vd1102) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1102) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_15,negated_conjecture,
ron(vd1096,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
rpoint(vd1096),
inference(split_conjunct,[status(thm)],['pred(229, 0)']) ).
cnf(c_0_17,plain,
ron(vd1096,vd1102),
inference(split_conjunct,[status(thm)],['and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))']) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO278+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 17:49:57 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.059 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 19
% 0.25/1.43 # Proof object clause steps : 12
% 0.25/1.43 # Proof object formula steps : 7
% 0.25/1.43 # Proof object conjectures : 10
% 0.25/1.43 # Proof object clause conjectures : 7
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 7
% 0.25/1.43 # Proof object initial formulas used : 4
% 0.25/1.43 # Proof object generating inferences : 4
% 0.25/1.43 # Proof object simplifying inferences : 6
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 130
% 0.25/1.43 # Removed by relevancy pruning/SinE : 40
% 0.25/1.43 # Initial clauses : 227
% 0.25/1.43 # Removed in clause preprocessing : 2
% 0.25/1.43 # Initial clauses in saturation : 225
% 0.25/1.43 # Processed clauses : 694
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 215
% 0.25/1.43 # ...remaining for further processing : 479
% 0.25/1.43 # Other redundant clauses eliminated : 1011
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 2
% 0.25/1.43 # Backward-rewritten : 1
% 0.25/1.43 # Generated clauses : 1113
% 0.25/1.43 # ...of the previous two non-trivial : 1052
% 0.25/1.43 # Contextual simplify-reflections : 158
% 0.25/1.43 # Paramodulations : 891
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 1025
% 0.25/1.43 # Current number of processed clauses : 268
% 0.25/1.43 # Positive orientable unit clauses : 17
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 15
% 0.25/1.43 # Non-unit-clauses : 236
% 0.25/1.43 # Current number of unprocessed clauses: 544
% 0.25/1.43 # ...number of literals in the above : 4827
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 3
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 18406
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 2651
% 0.25/1.43 # Non-unit clause-clause subsumptions : 317
% 0.25/1.43 # Unit Clause-clause subsumption calls : 691
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 1
% 0.25/1.43 # BW rewrite match successes : 1
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 66343
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.124 s
% 0.25/1.43 # System time : 0.007 s
% 0.25/1.43 # Total time : 0.131 s
% 0.25/1.43 # Maximum resident set size: 6200 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 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
% 0.25/23.45 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
% 0.25/23.46 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: 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.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------