TSTP Solution File: KRS217+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS217+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Sun Jul 17 03:00:07 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 97 ( 36 ~; 39 |; 17 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 68 ( 15 sgn 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(noc,axiom,
! [X1,X2] :
( ( ? [X3] :
( model(X3,X1)
& model(X3,X2) )
& ? [X4] :
( model(X4,X1)
& model(X4,not(X2)) ) )
<=> status(X1,X2,noc) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',noc) ).
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(nota_noc_thm,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nota_noc_thm) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(c_0_7,plain,
! [X5,X6,X7,X8,X5,X6] :
( ( ~ model(X7,X5)
| ~ model(X7,X6)
| ~ model(X8,X5)
| ~ model(X8,not(X6))
| status(X5,X6,noc) )
& ( model(esk4_2(X5,X6),X5)
| ~ status(X5,X6,noc) )
& ( model(esk4_2(X5,X6),X6)
| ~ status(X5,X6,noc) )
& ( model(esk5_2(X5,X6),X5)
| ~ status(X5,X6,noc) )
& ( model(esk5_2(X5,X6),not(X6))
| ~ status(X5,X6,noc) ) ),
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)],[noc])])])])])])]) ).
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])])])])]) ).
cnf(c_0_9,plain,
( status(X1,X2,noc)
| ~ model(X3,not(X2))
| ~ model(X3,X1)
| ~ model(X4,X2)
| ~ model(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( model(X1,not(X2))
| model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
( model(esk21_0,esk22_0)
& ~ model(esk21_0,esk23_0)
& model(esk24_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[non_thm_spt])])])])]) ).
cnf(c_0_12,plain,
( status(X1,X2,noc)
| model(X3,X2)
| ~ model(X4,X2)
| ~ model(X4,X1)
| ~ model(X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
model(esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X12] : model(X12,esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
fof(c_0_15,negated_conjecture,
~ nota(noc,thm),
inference(assume_negation,[status(cth)],[nota_noc_thm]) ).
fof(c_0_16,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_17,plain,
( status(X1,esk23_0,noc)
| model(X2,esk23_0)
| ~ model(esk24_0,X1)
| ~ model(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
model(X1,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,negated_conjecture,
~ nota(noc,thm),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( nota(X1,X2)
| status(X3,X4,X2)
| ~ status(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( status(esk6_0,esk23_0,noc)
| model(X1,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18])]) ).
fof(c_0_22,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])])])])])])]) ).
cnf(c_0_23,negated_conjecture,
~ nota(noc,thm),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( nota(noc,X1)
| status(esk6_0,esk23_0,X1)
| model(X2,esk23_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( model(X1,X2)
| ~ model(X1,X3)
| ~ status(X3,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( status(esk6_0,esk23_0,thm)
| model(X1,esk23_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( model(X1,esk23_0)
| model(X2,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_18])]) ).
cnf(c_0_28,plain,
~ model(esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,negated_conjecture,
model(X1,esk23_0),
inference(ef,[status(thm)],[c_0_27]) ).
cnf(c_0_30,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS217+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 11:22:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.016 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 31
% 0.24/1.41 # Proof object clause steps : 16
% 0.24/1.41 # Proof object formula steps : 15
% 0.24/1.41 # Proof object conjectures : 7
% 0.24/1.41 # Proof object clause conjectures : 4
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 8
% 0.24/1.41 # Proof object initial formulas used : 7
% 0.24/1.41 # Proof object generating inferences : 7
% 0.24/1.41 # Proof object simplifying inferences : 6
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 33
% 0.24/1.41 # Removed by relevancy pruning/SinE : 21
% 0.24/1.41 # Initial clauses : 31
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 31
% 0.24/1.41 # Processed clauses : 523
% 0.24/1.41 # ...of these trivial : 4
% 0.24/1.41 # ...subsumed : 243
% 0.24/1.41 # ...remaining for further processing : 276
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 17
% 0.24/1.41 # Backward-rewritten : 29
% 0.24/1.41 # Generated clauses : 1727
% 0.24/1.41 # ...of the previous two non-trivial : 1420
% 0.24/1.41 # Contextual simplify-reflections : 85
% 0.24/1.41 # Paramodulations : 1661
% 0.24/1.41 # Factorizations : 66
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 230
% 0.24/1.41 # Positive orientable unit clauses : 31
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 43
% 0.24/1.41 # Non-unit-clauses : 156
% 0.24/1.41 # Current number of unprocessed clauses: 694
% 0.24/1.41 # ...number of literals in the above : 2811
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 46
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 6104
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 2750
% 0.24/1.41 # Non-unit clause-clause subsumptions : 275
% 0.24/1.41 # Unit Clause-clause subsumption calls : 476
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 77
% 0.24/1.41 # BW rewrite match successes : 16
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 24734
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.065 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.069 s
% 0.24/1.41 # Maximum resident set size: 4348 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------