TSTP Solution File: NUM835+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 09:36:58 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 40 ( 31 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 20 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 7 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof('def(cond(conseq(105), 0), 1)',axiom,
! [X3,X4] :
( m(X4)
<=> ( X3 = X4
| ? [X5] : X3 = vplus(X4,X5)
| ? [X6] : X4 = vplus(X3,X6) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','def(cond(conseq(105), 0), 1)') ).
fof('dis(case_distinction(conseq(110)))',conjecture,
( ? [X1] : vd165 = vplus(vd151,X1)
| ? [X2] : vd151 = vplus(vd165,X2)
| vd151 = vd165 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','dis(case_distinction(conseq(110)))') ).
fof(c_0_2,plain,
! [X7,X8,X7,X8,X11,X12] :
( ( ~ m(X8)
| X7 = X8
| X7 = vplus(X8,esk1_2(X7,X8))
| X8 = vplus(X7,esk2_2(X7,X8)) )
& ( X7 != X8
| m(X8) )
& ( X7 != vplus(X8,X11)
| m(X8) )
& ( X8 != vplus(X7,X12)
| m(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)],['def(cond(conseq(105), 0), 1)'])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ( ? [X1] : vd165 = vplus(vd151,X1)
| ? [X2] : vd151 = vplus(vd165,X2)
| vd151 = vd165 ),
inference(assume_negation,[status(cth)],['dis(case_distinction(conseq(110)))']) ).
cnf(c_0_4,plain,
( m(X1)
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X3,X4] :
( vd165 != vplus(vd151,X3)
& vd151 != vplus(vd165,X4)
& vd151 != vd165 ),
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)],[c_0_3])])])])]) ).
cnf(c_0_6,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| X2 = vplus(X1,esk1_2(X2,X1))
| X2 = X1
| ~ m(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,plain,
m(X1),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
vd165 != vplus(vd151,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( vplus(X1,esk1_2(X2,X1)) = X2
| vplus(X2,esk2_2(X2,X1)) = X1
| X1 = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
vd151 != vplus(vd165,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
( vplus(X1,esk1_2(vd151,X1)) = vd151
| X1 = vd151
| X1 != vd165 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
vd151 != vd165,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.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 : Wed Jul 6 07:53:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.015 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 : 14
% 0.23/1.41 # Proof object clause steps : 9
% 0.23/1.41 # Proof object formula steps : 5
% 0.23/1.41 # Proof object conjectures : 8
% 0.23/1.41 # Proof object clause conjectures : 5
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 5
% 0.23/1.41 # Proof object initial formulas used : 2
% 0.23/1.41 # Proof object generating inferences : 3
% 0.23/1.41 # Proof object simplifying inferences : 3
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 24
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 30
% 0.23/1.41 # Removed in clause preprocessing : 7
% 0.23/1.41 # Initial clauses in saturation : 23
% 0.23/1.41 # Processed clauses : 314
% 0.23/1.41 # ...of these trivial : 34
% 0.23/1.41 # ...subsumed : 232
% 0.23/1.41 # ...remaining for further processing : 48
% 0.23/1.41 # Other redundant clauses eliminated : 5
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 3
% 0.23/1.41 # Generated clauses : 1644
% 0.23/1.41 # ...of the previous two non-trivial : 1620
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 1637
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 7
% 0.23/1.41 # Current number of processed clauses : 44
% 0.23/1.41 # Positive orientable unit clauses : 2
% 0.23/1.41 # Positive unorientable unit clauses: 4
% 0.23/1.41 # Negative unit clauses : 16
% 0.23/1.41 # Non-unit-clauses : 22
% 0.23/1.41 # Current number of unprocessed clauses: 1299
% 0.23/1.41 # ...number of literals in the above : 2940
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 4
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 251
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 251
% 0.23/1.41 # Non-unit clause-clause subsumptions : 21
% 0.23/1.41 # Unit Clause-clause subsumption calls : 26
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 32
% 0.23/1.41 # BW rewrite match successes : 32
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 16591
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.031 s
% 0.23/1.41 # System time : 0.005 s
% 0.23/1.41 # Total time : 0.036 s
% 0.23/1.41 # Maximum resident set size: 3856 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------