TSTP Solution File: KRS216+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS216+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : Sun Jul 17 03:00:07 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 26 |; 9 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 13 sgn 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(contradiction,axiom,
? [X10] :
! [X9] : ~ model(X9,X10),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(uns,axiom,
! [X1,X2] :
( ( ! [X3] : model(X3,X1)
& ! [X4] : model(X4,not(X2)) )
<=> status(X1,X2,uns) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',uns) ).
fof(nota_uns_thm,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nota_uns_thm) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(c_0_7,plain,
! [X4,X5,X4,X5,X7] :
( ( model(esk3_2(X4,X5),X4)
| status(X4,X5,thm) )
& ( ~ model(esk3_2(X4,X5),X5)
| status(X4,X5,thm) )
& ( ~ status(X4,X5,thm)
| ~ model(X7,X4)
| model(X7,X5) ) ),
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)],[thm])])])])])])]) ).
fof(c_0_8,plain,
! [X11,X12,X11,X12] :
( ( ~ model(X11,X12)
| ~ model(X11,not(X12)) )
& ( model(X11,X12)
| model(X11,not(X12)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[completeness])])])])]) ).
fof(c_0_9,plain,
! [X12] : ~ model(X12,esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[contradiction])])]) ).
cnf(c_0_10,plain,
( status(X1,X2,thm)
| ~ model(esk3_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( model(X1,not(X2))
| model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
~ model(X1,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( status(X1,not(X2),thm)
| model(esk3_2(X1,not(X2)),X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( model(X1,X2)
| ~ model(X1,X3)
| ~ status(X3,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
status(X1,not(esk10_0),thm),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,plain,
! [X12] : model(X12,esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
fof(c_0_17,plain,
! [X5,X6,X5,X6,X9,X10] :
( ( ~ model(esk4_2(X5,X6),X5)
| ~ model(esk5_2(X5,X6),not(X6))
| status(X5,X6,uns) )
& ( model(X9,X5)
| ~ status(X5,X6,uns) )
& ( model(X10,not(X6))
| ~ status(X5,X6,uns) ) ),
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)],[uns])])])])])])]) ).
cnf(c_0_18,plain,
( model(X1,not(esk10_0))
| ~ model(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
model(X1,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( status(X1,X2,uns)
| ~ model(esk5_2(X1,X2),not(X2))
| ~ model(esk4_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
model(X1,not(esk10_0)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_22,negated_conjecture,
~ nota(uns,thm),
inference(assume_negation,[status(cth)],[nota_uns_thm]) ).
fof(c_0_23,plain,
! [X9,X10,X11,X12,X9,X10] :
( ( ~ status(X11,X12,X9)
| status(X11,X12,X10)
| nota(X9,X10) )
& ( status(esk1_2(X9,X10),esk2_2(X9,X10),X9)
| ~ nota(X9,X10) )
& ( ~ status(esk1_2(X9,X10),esk2_2(X9,X10),X10)
| ~ nota(X9,X10) ) ),
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)],[inference(fof_simplification,[status(thm)],[nota])])])])])])])]) ).
cnf(c_0_24,plain,
( status(X1,esk10_0,uns)
| ~ model(esk4_2(X1,esk10_0),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,negated_conjecture,
~ nota(uns,thm),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( nota(X1,X2)
| status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
status(esk6_0,esk10_0,uns),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
~ nota(uns,thm),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( nota(uns,X1)
| status(esk6_0,esk10_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
status(esk6_0,esk10_0,thm),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_30]),c_0_19])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS216+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.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 : Tue Jun 7 19:41:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40 # Preprocessing time : 0.016 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 32
% 0.21/1.40 # Proof object clause steps : 17
% 0.21/1.40 # Proof object formula steps : 15
% 0.21/1.40 # Proof object conjectures : 6
% 0.21/1.40 # Proof object clause conjectures : 3
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 8
% 0.21/1.40 # Proof object initial formulas used : 7
% 0.21/1.40 # Proof object generating inferences : 9
% 0.21/1.40 # Proof object simplifying inferences : 3
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 33
% 0.21/1.40 # Removed by relevancy pruning/SinE : 21
% 0.21/1.40 # Initial clauses : 29
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 29
% 0.21/1.40 # Processed clauses : 70
% 0.21/1.40 # ...of these trivial : 1
% 0.21/1.40 # ...subsumed : 7
% 0.21/1.40 # ...remaining for further processing : 62
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 1
% 0.21/1.40 # Backward-rewritten : 5
% 0.21/1.40 # Generated clauses : 123
% 0.21/1.40 # ...of the previous two non-trivial : 96
% 0.21/1.40 # Contextual simplify-reflections : 0
% 0.21/1.40 # Paramodulations : 123
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 56
% 0.21/1.40 # Positive orientable unit clauses : 19
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 8
% 0.21/1.40 # Non-unit-clauses : 29
% 0.21/1.40 # Current number of unprocessed clauses: 36
% 0.21/1.40 # ...number of literals in the above : 86
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 6
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 41
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 37
% 0.21/1.40 # Non-unit clause-clause subsumptions : 3
% 0.21/1.40 # Unit Clause-clause subsumption calls : 45
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 18
% 0.21/1.40 # BW rewrite match successes : 6
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 2966
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.019 s
% 0.21/1.40 # System time : 0.001 s
% 0.21/1.40 # Total time : 0.020 s
% 0.21/1.40 # Maximum resident set size: 3032 pages
% 0.21/23.40 eprover: CPU time limit exceeded, terminating
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.42 eprover: No such file or directory
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.46 eprover: No such file or directory
% 0.21/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47 eprover: No such file or directory
% 0.21/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.47 eprover: No such file or directory
% 0.21/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.21/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------